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The modular curve X100a

Curve name X100a
Index 48
Level 8
Genus 0
Does the subgroup contain I? No
Generating matrices [1247],[1203],[7607],[3647]
Images in lower levels
LevelIndex of imageCorresponding curve
2 6 X8
4 24 X25i
Meaning/Special name
Chosen covering X100
Curves that X100a minimally covers
Curves that minimally cover X100a
Curves that minimally cover X100a 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)=27t16+324t121728t8+5184t46912 B(t)=54t24972t20+5184t1682944t8+248832t4221184
Info about rational points
Comments on finding rational points None
Elliptic curve whose 2-adic image is the subgroup y2=x3x212358012x+16581170740, with conductor 142296
Generic density of odd order reductions 307/2688

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