Elliptic curves over $\Q$ of conductor 126

Conductor	j-invariant	Rank	Torsion order	Torsion structure
Analytic order of Ш	$p$ div |Ш|	Maximal primes	Nonmax $p$	Bad $p$
Number of integral points	Regulator	CM	CM discriminant	Semistable
Curves per isogeny class	Cyclic isogeny degree	Isogeny class size	Isogeny class degree	Potential good reduction

Results (12 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
126.a1	126b3	126.a	126b	$[1, -1, 0, -12096, -509036]$	$0$	$[2]$
126.a2	126b5	126.a	126b	$[1, -1, 0, -8226, 286474]$	$0$	$[2]$
126.a3	126b4	126.a	126b	$[1, -1, 0, -936, -3668]$	$0$	$[2, 2]$
126.a4	126b2	126.a	126b	$[1, -1, 0, -756, -7808]$	$0$	$[2, 2]$
126.a5	126b1	126.a	126b	$[1, -1, 0, -36, -176]$	$0$	$[2]$
126.a6	126b6	126.a	126b	$[1, -1, 0, 3474, -31010]$	$0$	$[2]$
126.b1	126a6	126.b	126a	$[1, -1, 1, -24575, 1488935]$	$0$	$[6]$
126.b2	126a5	126.b	126a	$[1, -1, 1, -1535, 23591]$	$0$	$[6]$
126.b3	126a4	126.b	126a	$[1, -1, 1, -320, 1883]$	$0$	$[6]$
126.b4	126a2	126.b	126a	$[1, -1, 1, -95, -331]$	$0$	$[2]$
126.b5	126a1	126.b	126a	$[1, -1, 1, -5, -7]$	$0$	$[2]$
126.b6	126a3	126.b	126a	$[1, -1, 1, 40, 155]$	$0$	$[6]$