抄録
By the modular degree we mean the degree of a modular parametrization of an elliptic curve, namely the mapping degree of the surjection from a modular curve to an elliptic curve. Its arithmetic significance is discussed by Zagier and Agashe-Ribet-Stein et al. in terms of the congruence of modular forms. Given an elliptic curve Ef attached to a rational newform f , we explicitly relate its modular degree to a quotient of special values of some two L-functions attached to f . We also provide several numerical examples of the formula.
本文言語 | English |
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ページ(範囲) | 279-293 |
ページ数 | 15 |
ジャーナル | Tokyo Journal of Mathematics |
巻 | 43 |
号 | 2 |
DOI | |
出版ステータス | Published - 2020 12月 |
ASJC Scopus subject areas
- 数学 (全般)