Curve name | X491 | |||||||||||||||
Index | 96 | |||||||||||||||
Level | 32 | |||||||||||||||
Genus | 1 | |||||||||||||||
Does the subgroup contain −I? | Yes | |||||||||||||||
Generating matrices | [1101],[7007],[50161],[11247] | |||||||||||||||
Images in lower levels |
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Meaning/Special name | ||||||||||||||||
Chosen covering | X213 | |||||||||||||||
Curves that X491 minimally covers | X213, X240, X355 | |||||||||||||||
Curves that minimally cover X491 | ||||||||||||||||
Curves that minimally cover X491 and have infinitely many rational points. | ||||||||||||||||
Model | A model was not computed. This curve is covered by X355, 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 |