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The modular curve X270

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
LevelIndex of imageCorresponding curve
2 6 X8
4 12 X25
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

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