Elliptic curves over $\Q$ of conductor 784

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 (24 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
784.a1	784b1	784.a	784b	$[0, 0, 0, -343, 2401]$	$1$	trivial
784.b1	784j6	784.b	784j	$[0, 1, 0, -2140728, -1206278060]$	$1$	$[2]$
784.b2	784j5	784.b	784j	$[0, 1, 0, -133688, -18913196]$	$1$	$[2]$
784.b3	784j4	784.b	784j	$[0, 1, 0, -27848, -1475468]$	$1$	$[2]$
784.b4	784j2	784.b	784j	$[0, 1, 0, -8248, 285396]$	$1$	$[2]$
784.b5	784j1	784.b	784j	$[0, 1, 0, -408, 6292]$	$1$	$[2]$
784.b6	784j3	784.b	784j	$[0, 1, 0, 3512, -133260]$	$1$	$[2]$
784.c1	784d1	784.c	784d	$[0, -1, 0, -800, 8359]$	$0$	trivial
784.d1	784g2	784.d	784g	$[0, -1, 0, -6974, 226507]$	$0$	trivial
784.d2	784g1	784.d	784g	$[0, -1, 0, -114, 127]$	$0$	trivial
784.e1	784c4	784.e	784c	$[0, 0, 0, -14651, 682570]$	$0$	$[4]$
784.e2	784c3	784.e	784c	$[0, 0, 0, -2891, -47334]$	$0$	$[2]$
784.e3	784c2	784.e	784c	$[0, 0, 0, -931, 10290]$	$0$	$[2, 2]$
784.e4	784c1	784.e	784c	$[0, 0, 0, 49, 686]$	$0$	$[2]$
784.f1	784h4	784.f	784h	$[0, 0, 0, -29155, -1915998]$	$1$	$[2]$
784.f2	784h3	784.f	784h	$[0, 0, 0, -1715, -33614]$	$1$	$[2]$
784.f3	784h2	784.f	784h	$[0, 0, 0, -595, 5586]$	$1$	$[2]$
784.f4	784h1	784.f	784h	$[0, 0, 0, -35, 98]$	$1$	$[2]$
784.g1	784i2	784.g	784i	$[0, 1, 0, -142, -701]$	$1$	trivial
784.g2	784i1	784.g	784i	$[0, 1, 0, -2, -1]$	$1$	trivial
784.h1	784a1	784.h	784a	$[0, 1, 0, -16, -29]$	$1$	trivial
784.i1	784e2	784.i	784e	$[0, -1, 0, -1976, -32752]$	$0$	$[2]$
784.i2	784e1	784.i	784e	$[0, -1, 0, -16, -1392]$	$0$	$[2]$
784.j1	784f1	784.j	784f	$[0, 0, 0, -7, -7]$	$0$	trivial