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- W4300573607 abstract "It is well-known that every elliptic curve over the rationals admits a parametrization by means of modular functions. In this short note, we show that only finitely many elliptic curves over $mathbf{Q}$ can be parametrized by modular units. This answers a question raised by Zudilin in a recent work on Mahler measures. Further, we give the list of all elliptic curves $E$ of conductor up to $1000$ parametrized by modular units supported in the rational torsion subgroup of $E$. Finally, we raise several open questions." @default.
- W4300573607 created "2022-10-03" @default.
- W4300573607 creator A5009796777 @default.
- W4300573607 date "2015-04-04" @default.
- W4300573607 modified "2023-10-18" @default.
- W4300573607 title "Parametrizing elliptic curves by modular units" @default.
- W4300573607 doi "https://doi.org/10.48550/arxiv.1504.00999" @default.
- W4300573607 hasPublicationYear "2015" @default.
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