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The modular curve X118x

Curve name X118x
Index 48
Level 16
Genus 0
Does the subgroup contain I? No
Generating matrices [1101],[7001],[3007],[3003]
Images in lower levels
LevelIndex of imageCorresponding curve
2 3 X6
4 6 X13
8 24 X36q
Meaning/Special name
Chosen covering X118
Curves that X118x minimally covers
Curves that minimally cover X118x
Curves that minimally cover X118x 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)=108t12864t10+13824t6+25920t413824t227648 B(t)=432t18+5184t16+10368t1496768t12445824t1041472t8+2515968t6+3649536t4+1327104t2+1769472
Info about rational points
Comments on finding rational points None
Elliptic curve whose 2-adic image is the subgroup y2=x3x221442776x+41636137776, with conductor 40560
Generic density of odd order reductions 41/336

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