\(p\)-adic periods and modular symbols of elliptic curves of prime conductor

DOI10.1007/BF01884297zbMath1044.11576MaRDI QIDQ1899732

Ehud de Shalit

Publication date: 20 November 1995

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

Full work available at URL: https://eudml.org/doc/144297

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Other groups and their modular and automorphic forms (several variables) (11F55) Curves over finite and local fields (11G20) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Symbols and arithmetic ((K)-theoretic aspects) (19F15)

Related Items

Elliptic Curves and Class Fields of Real Quadratic Fields: Algorithms and Evidence, On the Mazur-Tate conjecture for prime conductor and Mazur's Eisenstein ideal, Stark–Heegner points on modular Jacobians, Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras, Efficient calculation of Stark-Heegner points via overconvergent modular symbols, Tamely ramified Hida theory., Unnamed Item, Teitelbaum's exceptional zero conjecture in the function field case

Cites Work

• Class fields of abelian extensions of \(\mathbb Q\)
• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Refined conjectures of the ``Birch and Swinnerton-Dyer type
• Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\)
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• A note on the Shimura subgroup of \(J_0(p)\)
• The weight in Serre's conjectures on modular forms
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
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