Lifting of supersingular points on X0 (pr) and lower bound of ramification index

DOI10.1017/S0027763000008199zbMath1032.11024MaRDI QIDQ4545205

Fumiyuki Momose, Mahoro Shimura

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ramification indexelliptic curvemodular curveformal groupsupersingular point

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Elliptic curves over local fields (11G07)

Related Items (3)

Rational points on \(X_0^+(p^r)\) ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Rational points on \(X^{+}_0(37M)\)

Cites Work

• La courbe modulaire \(X_ 0(125)\) et sa jacobienne. (The modular curve \(X_ 0(125)\) and its Jacobian)
• The rank of elliptic curves
• Modular curves and the Eisenstein ideal
• Arithmetic of Weil curves

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