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학술저널

GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D =64 (mod 72)

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A class invariant is the value of a modular function that generates a ring class ¯eld of an imaginary quadratic number ¯eld such as the singular moduli of level 1. In this paper, we compute the Galois actions of a class invariant from a generalizedWeber function g1 over imaginnary quadratic number ¯elds with discriminant D ´=64 (mod 72).

1. Introduction

2. Preliminary

3. Results

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