On modular forms of weight (6n + l)/5 satisfying a certain differential equation

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    Abstract

    We study solutions of a differential equation which arose in our previous study of supersingular elliptic curves. By choosing one fifth of an integer k as the parameter involved in the differential equation, we obtain modular forms of weight k as solutions. It is observed that this solution is also related to supersingular elliptic curves.

    Original languageEnglish
    Title of host publicationNUMBER THEORY
    EditorsWENPENG ZHANG, YOSHIO TANIGAWA
    Pages97-102
    Number of pages6
    Publication statusPublished - 2006

    Publication series

    NameDevelopments in Mathematics
    Volume15
    ISSN (Print)1389-2177

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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