Matches in SemOpenAlex for { <https://semopenalex.org/work/W3044001824> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W3044001824 abstract "For various positive integers $n$, we show the existence of infinite families of elliptic curves over $mathbb{Q}$ with $n$-division fields, $mathbb{Q}(E[n])$, that are not monogenic, i.e., the ring of integers does not admit a power integral basis. We parametrize some of these families explicitly. Moreover, we show that every $E/mathbb{Q}$ without CM has infinitely many non-monogenic division fields. Our main technique combines a global description of the Frobenius obtained by Duke and Toth with a simple algorithm based on ideas of Dedekind." @default.
- W3044001824 created "2020-07-29" @default.
- W3044001824 creator A5052508390 @default.
- W3044001824 date "2020-07-24" @default.
- W3044001824 modified "2023-09-27" @default.
- W3044001824 title "Non-monogenic Division Fields of Elliptic Curves" @default.
- W3044001824 cites W1494748022 @default.
- W3044001824 cites W1545876477 @default.
- W3044001824 cites W1588160094 @default.
- W3044001824 cites W2001572759 @default.
- W3044001824 cites W2015035842 @default.
- W3044001824 cites W2017572268 @default.
- W3044001824 cites W2052049423 @default.
- W3044001824 cites W2077681462 @default.
- W3044001824 cites W2086383159 @default.
- W3044001824 cites W234210099 @default.
- W3044001824 cites W2962714692 @default.
- W3044001824 cites W2963905679 @default.
- W3044001824 cites W3103689959 @default.
- W3044001824 cites W3105951463 @default.
- W3044001824 cites W748602451 @default.
- W3044001824 cites W2043686379 @default.
- W3044001824 cites W2282004554 @default.
- W3044001824 hasPublicationYear "2020" @default.
- W3044001824 type Work @default.
- W3044001824 sameAs 3044001824 @default.
- W3044001824 citedByCount "0" @default.
- W3044001824 crossrefType "posted-content" @default.
- W3044001824 hasAuthorship W3044001824A5052508390 @default.
- W3044001824 hasConcept C111472728 @default.
- W3044001824 hasConcept C114614502 @default.
- W3044001824 hasConcept C118615104 @default.
- W3044001824 hasConcept C12657307 @default.
- W3044001824 hasConcept C138885662 @default.
- W3044001824 hasConcept C164810661 @default.
- W3044001824 hasConcept C179603306 @default.
- W3044001824 hasConcept C183606055 @default.
- W3044001824 hasConcept C202444582 @default.
- W3044001824 hasConcept C2780586882 @default.
- W3044001824 hasConcept C31671303 @default.
- W3044001824 hasConcept C33923547 @default.
- W3044001824 hasConcept C60798267 @default.
- W3044001824 hasConcept C76449584 @default.
- W3044001824 hasConcept C77926391 @default.
- W3044001824 hasConcept C94375191 @default.
- W3044001824 hasConceptScore W3044001824C111472728 @default.
- W3044001824 hasConceptScore W3044001824C114614502 @default.
- W3044001824 hasConceptScore W3044001824C118615104 @default.
- W3044001824 hasConceptScore W3044001824C12657307 @default.
- W3044001824 hasConceptScore W3044001824C138885662 @default.
- W3044001824 hasConceptScore W3044001824C164810661 @default.
- W3044001824 hasConceptScore W3044001824C179603306 @default.
- W3044001824 hasConceptScore W3044001824C183606055 @default.
- W3044001824 hasConceptScore W3044001824C202444582 @default.
- W3044001824 hasConceptScore W3044001824C2780586882 @default.
- W3044001824 hasConceptScore W3044001824C31671303 @default.
- W3044001824 hasConceptScore W3044001824C33923547 @default.
- W3044001824 hasConceptScore W3044001824C60798267 @default.
- W3044001824 hasConceptScore W3044001824C76449584 @default.
- W3044001824 hasConceptScore W3044001824C77926391 @default.
- W3044001824 hasConceptScore W3044001824C94375191 @default.
- W3044001824 hasLocation W30440018241 @default.
- W3044001824 hasOpenAccess W3044001824 @default.
- W3044001824 hasPrimaryLocation W30440018241 @default.
- W3044001824 hasRelatedWork W1229506936 @default.
- W3044001824 hasRelatedWork W1502193987 @default.
- W3044001824 hasRelatedWork W1746813139 @default.
- W3044001824 hasRelatedWork W1966281478 @default.
- W3044001824 hasRelatedWork W2024508303 @default.
- W3044001824 hasRelatedWork W2074666070 @default.
- W3044001824 hasRelatedWork W2546090055 @default.
- W3044001824 hasRelatedWork W2602190721 @default.
- W3044001824 hasRelatedWork W2637145070 @default.
- W3044001824 hasRelatedWork W2786905345 @default.
- W3044001824 hasRelatedWork W2901698344 @default.
- W3044001824 hasRelatedWork W2946025828 @default.
- W3044001824 hasRelatedWork W2951444921 @default.
- W3044001824 hasRelatedWork W2963780320 @default.
- W3044001824 hasRelatedWork W2972550400 @default.
- W3044001824 hasRelatedWork W2981199089 @default.
- W3044001824 hasRelatedWork W3088897051 @default.
- W3044001824 hasRelatedWork W3097724996 @default.
- W3044001824 hasRelatedWork W3160644130 @default.
- W3044001824 hasRelatedWork W3181377054 @default.
- W3044001824 isParatext "false" @default.
- W3044001824 isRetracted "false" @default.
- W3044001824 magId "3044001824" @default.
- W3044001824 workType "article" @default.