## Abstract

Let E be an elliptic curve and π: E→ P^{1} a standard double cover identifying ±P∈E. It is known that for some torsion points P_{i}∈ E, 1 ⩽ i⩽ 4 , the cross ratio of {π(Pi)}i=14 is independent of E. We will give a complete classification of such quadruples.

Original language | English (US) |
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Pages (from-to) | 1236-1253 |

Number of pages | 18 |

Journal | European Journal of Mathematics |

Volume | 6 |

Issue number | 4 |

DOIs | |

State | Published - Dec 2020 |

## Keywords

- Congruence subgroups
- Elliptic curves
- Modular curves
- Torsion points
- q-series

## ASJC Scopus subject areas

- Mathematics(all)

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