Curve name | X270 | |||||||||
Index | 48 | |||||||||
Level | 8 | |||||||||
Genus | 1 | |||||||||
Does the subgroup contain −I? | Yes | |||||||||
Generating matrices | [3607],[7007],[1003],[3047] | |||||||||
Images in lower levels |
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Meaning/Special name | ||||||||||
Chosen covering | X87 | |||||||||
Curves that X270 minimally covers | X87, X99, X129 | |||||||||
Curves that minimally cover X270 | X442, X446, X459, X464 | |||||||||
Curves that minimally cover X270 and have infinitely many rational points. | ||||||||||
Model | A model was not computed. This curve is covered by X52, which only has finitely many rational points. | |||||||||
Info about rational points | ||||||||||
Comments on finding rational points | None | |||||||||
Elliptic curve whose 2-adic image is the subgroup | None | |||||||||
Generic density of odd order reductions | N/A |