Curve name | X292 | ||||||||||||
Index | 48 | ||||||||||||
Level | 16 | ||||||||||||
Genus | 1 | ||||||||||||
Does the subgroup contain −I? | Yes | ||||||||||||
Generating matrices | [71401],[3563],[51521] | ||||||||||||
Images in lower levels |
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Meaning/Special name | |||||||||||||
Chosen covering | X89 | ||||||||||||
Curves that X292 minimally covers | X89, X104, X162 | ||||||||||||
Curves that minimally cover X292 | X643, X645, X707, X715 | ||||||||||||
Curves that minimally cover X292 and have infinitely many rational points. | |||||||||||||
Model | A model was not computed. This curve is covered by X162, 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 |