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- W2953000179 abstract "We extend the algorithm of Darmon-Green and Darmon-Pollack for computing p-adic Darmon points on elliptic curves to the case of composite conductor. We also extend the algorithm of Darmon-Logan for computing ATR Darmon points to treat curves of nontrivial conductor. Both cases involve an algorithmic decomposition into elementary matrices in congruence subgroups {Gamma}(N) for ideals N in certain rings of S-integers. We use these extensions to provide additional evidence in support of the conjectures on the rationality of Darmon points." @default.
- W2953000179 created "2019-06-27" @default.
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- W2953000179 date "2012-09-20" @default.
- W2953000179 modified "2023-09-27" @default.
- W2953000179 title "Elementary Matrix Decomposition and The Computation of Darmon Points with Higher Conductor" @default.
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