Congruences for special values of L-functions of elliptic curves with complex multiplication

DOI10.1007/BF01389102zbMath0513.14012MaRDI QIDQ1050422

Karl Rubin

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142994

zbMATH Keywords

L-functionelliptic curve with complex multiplicationmod p Birch Swinnerton-Dyer conjecture

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Complex multiplication and abelian varieties (14K22) Global ground fields in algebraic geometry (14G25)

Related Items

Ramification in the Coates-Wiles tower, A new construction of \({\mathfrak p}\)-adic L-functions attached to certain elliptic curves with complex multiplication, Congruences for periods of modular forms, Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication, On the conjecture of Birch and Swinnerton-Dyer, Growth of class numbers in \({\mathbb{Z}}_{\ell}\)-extensions connected with imaginary quadratic fields, Stickelberger elements and modular parametrizations of elliptic curves, Torsion points on elliptic curves defined over quadratic fields, Congruences between Bernoulli-Hurwitz numbers in the supersingular case, GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS, The Tate-Shafarevich group for elliptic curves with complex multiplication. II, Special values of L-functions and height two formal groups, Denominators of Eisenstein cohomology classes for \(\text{GL}_2\) over imaginary quadratic fields, Searching for Kummer congruences in an infinite slope family, On \(L\)-functions of elliptic curves and cyclotomic towers, On \(L\)-functions of elliptic curves and anticyclotomic towers, p-adic congruences and modular forms of half integer weight, Coates-Wiles towers in dimension two, Arithmetic on elliptic curves with complex multiplication. II, p-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups

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