Arithmetic on elliptic curves with complex multiplication. II
From MaRDI portal
Publication:1070305
DOI10.1007/BF01388654zbMath0584.14027MaRDI QIDQ1070305
Joe P. Buhler, Gross, Benedict H.
Publication date: 1985
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143183
complex multiplicationBirch--Swinnerton-Dyer conjectureQ-curveelliptic curves defined over the Hilbert class field
Elliptic curves over global fields (11G05) Special algebraic curves and curves of low genus (14H45) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Related Items
The Eisenstein descent on \(J_ 0(N)\), Rational points on elliptic curves with complex multiplication by the ring of integers in \({\mathbb{Q}}(\sqrt{-7})\), On units related to the arithmetic of elliptic curves with complex multiplication, Selmer groups of certain abelian varieties with complex multiplication, Some remarks on p-adic L-functions for certain abelian varieties with complex multiplication, Stark conjectures for CM elliptic curves over number fields., On the square root of special values of certain \(L\)-series, Periods of Cusp Forms and Elliptic Curves Over Imaginary Quadratic Fields, A formula for the central value of certain Hecke \(L\)-functions, Generalized \(\mathbb Q\)-curves and factors of \(J_1(N)\), Cubic structures, equivariant Euler characteristics and lattices of modular forms, Classical Iwasawa theory and infinite descent on a family of abelian varieties, Computing the Modular Degree of an Elliptic Curve, A remark on elliptic units, Generalised Kummer constructions and Weil restrictions, Sequences of numbers generated by addition in formal groups and new primality and factorization tests, Congruences for special values of L-functions of elliptic curves with complex multiplication
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Class fields of abelian extensions of \(\mathbb Q\)
- Congruences for special values of L-functions of elliptic curves with complex multiplication
- Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
- On the L-functions of canonical Hecke characters of imaginary quadratic fields
- \(L\)-functions at \(s=1\). IV: First derivatives at \(s=0\)
- A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
- On the conjecture of Birch and Swinnerton-Dyer
- Modular curves and the Eisenstein ideal
- Onp-adicL-functions and cyclotomic fields. II
- CYCLOTOMIC FIELDS AND MODULAR CURVES