Optimal quotients of modular Jacobians

DOI10.1007/s00208-003-0449-2zbMath1061.11018OpenAlexW2059292326MaRDI QIDQ1434529

Matthew Emerton

Publication date: 7 July 2004

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-003-0449-2

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80)

Related Items (12)

Elements of prime order in Tate–Shafarevich groups of abelian varieties over ⋮ Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero ⋮ Torsion and Tamagawa numbers ⋮ Rational torsion in elliptic curves and the cuspidal subgroup ⋮ Conjectures Concerning the Orders of the Torsion Subgroup, the Arithmetic Component Groups, and the Cuspidal Subgroup ⋮ On maps between modular Jacobians and Jacobians of Shimura curves ⋮ A visible factor of the special L-value ⋮ SQUARENESS IN THE SPECIAL L-VALUE AND SPECIAL L-VALUES OF TWISTS ⋮ On component groups of Jacobians of Drinfeld modular curves. ⋮ The special \(L\)-value of the winding quotient of square-free level ⋮ Visibility and the Birch and Swinnerton-Dyer conjecture for analytic rank zero ⋮ On the degree of modular parametrizations over function fields.

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