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The modular curve X84j

Curve name X84j
Index 48
Level 8
Genus 0
Does the subgroup contain I? No
Generating matrices [5505],[7703],[1003]
Images in lower levels
LevelIndex of imageCorresponding curve
2 3 X6
4 6 X13
Meaning/Special name
Chosen covering X84
Curves that X84j minimally covers
Curves that minimally cover X84j
Curves that minimally cover X84j 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)=108t8432t6+1080t4+3024t2108 B(t)=432t12+2592t10+19440t8+60480t6+42768t428512t2432
Info about rational points
Comments on finding rational points None
Elliptic curve whose 2-adic image is the subgroup y2=x3+x2321x+18879, with conductor 960
Generic density of odd order reductions 635/5376

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