The cuspidal class number formula for the modular curves X_1(2p)

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概要

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• Let p be a prime not equal to 2 or 3. We determine the group of all modular units on the modular curve X1(2p), and its full cuspidal class number. We mention a fact concerning the non-existence of torsion points of order 5 or 7 of elliptic curves over Q of square-free conductor n as an application of a result by Agashe and the cuspidal class number formula for X0(n). We also state the formula for the order of the subgroup of the Q-rational torsion subgroup of J1(2p) generated by the Q-rational cuspidal divisors of degree 0.

• Mathematical Society of Japanの論文
• 2012-01-01

著者

• Takagi Toshikazu

  Faculty Of Arts And Sciences At Fujiyoshida Showa University

• TAKAGI Toshikazu

  Faculty of Arts and Sciences at Fujiyoshida, Showa University

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