Abstract
The Legendre family of elliptic curves has the remarkable property that both its periods and its supersingular locus have descriptions in terms of the hypergeometric function . In this work we study elliptic curves and elliptic integrals with respect to the hypergeometric functions and , and prove that the supersingular -invariant locus of certain families of elliptic curves are given by these functions.
Citation
Keenan Monks. "On supersingular elliptic curves and hypergeometric functions." Involve 5 (1) 99 - 113, 2012. https://doi.org/10.2140/involve.2012.5.99
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