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The modular curve X292

Curve name X292
Index 48
Level 16
Genus 1
Does the subgroup contain I? Yes
Generating matrices [71401],[3563],[51521]
Images in lower levels
LevelIndex of imageCorresponding curve
2 3 X6
4 6 X12
8 24 X89
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

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