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The modular curve X67d

Curve name X67d
Index 48
Level 8
Genus 0
Does the subgroup contain I? No
Generating matrices [3005],[3047],[3663]
Images in lower levels
LevelIndex of imageCorresponding curve
2 6 X8
4 12 X24
Meaning/Special name
Chosen covering X67
Curves that X67d minimally covers
Curves that minimally cover X67d
Curves that minimally cover X67d and have infinitely many rational points.
Model P1, a universal elliptic curve over an appropriate base is given by y2=x3+A(t)x+B(t), where A(t)=108t161296t126912t820736t427648 B(t)=432t24+7776t20+41472t16663552t81990656t41769472
Info about rational points
Comments on finding rational points None
Elliptic curve whose 2-adic image is the subgroup y2=x3700x6000, with conductor 1600
Generic density of odd order reductions 419/2688

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