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The modular curve X192h

Curve name X192h
Index 96
Level 16
Genus 0
Does the subgroup contain I? No
Generating matrices [9001],[71405],[1205],[9087],[1005]
Images in lower levels
LevelIndex of imageCorresponding curve
2 6 X8
4 12 X25
8 48 X192
Meaning/Special name
Chosen covering X192
Curves that X192h minimally covers
Curves that minimally cover X192h
Curves that minimally cover X192h 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)=27t2423760t22+870048t20+2025216t18276804864t16+1757306880t146309494784t12+28116910080t1070862045184t8+8295284736t6+57019465728t424914165760t2452984832 B(t)=54t36115344t341858464t32+510879744t3015214086144t28+140525715456t26307830620160t24+7470640005120t22110151479328768t20+632942965555200t181762423669260288t16+1912483841310720t141260874220175360t12+9209493288124416t1015953125592530944t8+8571139815112704t6498877631299584t4495398707789824t2+3710851743744
Info about rational points
Comments on finding rational points None
Elliptic curve whose 2-adic image is the subgroup y2+xy+y=x3+x25882451x+5488977549, with conductor 1470
Generic density of odd order reductions 11/112

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