Uniformizing differential equations of arithmetic (1;e)-groups

preprint2012arXivOpen access

Abstract

We present a numerical method to compute accessory parameters of the uniformizing differential equations of elliptic curves associated to arithmetic Fuchsian (1;e)(1;e) groups. Up to $PSL_2(\bbr)$ conjugation there are only finitely many such groups and we give a complete list of the accessory parameters

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