Elliptic curves over $\Q$ of conductor 7728

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

Results (43 matches)

 

Curve		Isogeny class
LMFDB label	Cremona label	LMFDB label	Cremona label	Weierstrass coefficients	Rank	Torsion structure
7728.a1	7728j2	7728.a	7728j	$[0, -1, 0, -432, 15936]$	$1$	trivial
7728.a2	7728j1	7728.a	7728j	$[0, -1, 0, 48, -576]$	$1$	trivial
7728.b1	7728l4	7728.b	7728l	$[0, -1, 0, -2861584, 1864147264]$	$1$	$[4]$
7728.b2	7728l3	7728.b	7728l	$[0, -1, 0, -204624, 20243520]$	$1$	$[2]$
7728.b3	7728l2	7728.b	7728l	$[0, -1, 0, -178864, 29166784]$	$1$	$[2, 2]$
7728.b4	7728l1	7728.b	7728l	$[0, -1, 0, -9584, 592320]$	$1$	$[2]$
7728.c1	7728h4	7728.c	7728h	$[0, -1, 0, -24263848, 45788177008]$	$0$	$[2]$
7728.c2	7728h2	7728.c	7728h	$[0, -1, 0, -1791928, -879068816]$	$0$	$[2]$
7728.c3	7728h3	7728.c	7728h	$[0, -1, 0, -670888, 1508909680]$	$0$	$[2]$
7728.c4	7728h1	7728.c	7728h	$[0, -1, 0, 74312, -54937232]$	$0$	$[2]$
7728.d1	7728i1	7728.d	7728i	$[0, -1, 0, -478493, -127241151]$	$1$	trivial
7728.d2	7728i2	7728.d	7728i	$[0, -1, 0, -148013, -299020767]$	$1$	trivial
7728.e1	7728g1	7728.e	7728g	$[0, -1, 0, 27, -51]$	$0$	trivial
7728.f1	7728d1	7728.f	7728d	$[0, -1, 0, 7, -459]$	$0$	trivial
7728.g1	7728k2	7728.g	7728k	$[0, -1, 0, -5768, -164112]$	$1$	$[2]$
7728.g2	7728k1	7728.g	7728k	$[0, -1, 0, -8, -7440]$	$1$	$[2]$
7728.h1	7728a2	7728.h	7728a	$[0, -1, 0, -792, 6480]$	$1$	$[2]$
7728.h2	7728a1	7728.h	7728a	$[0, -1, 0, 128, 592]$	$1$	$[2]$
7728.i1	7728b4	7728.i	7728b	$[0, -1, 0, -18992, 1013472]$	$0$	$[4]$
7728.i2	7728b3	7728.i	7728b	$[0, -1, 0, -9632, -352800]$	$0$	$[2]$
7728.i3	7728b2	7728.i	7728b	$[0, -1, 0, -1352, 11520]$	$0$	$[2, 2]$
7728.i4	7728b1	7728.i	7728b	$[0, -1, 0, 268, 1152]$	$0$	$[2]$
7728.j1	7728m1	7728.j	7728m	$[0, -1, 0, 145536, -14389248]$	$1$	trivial
7728.k1	7728c1	7728.k	7728c	$[0, -1, 0, -201, 1173]$	$0$	trivial
7728.l1	7728n1	7728.l	7728n	$[0, -1, 0, -1541, 27693]$	$0$	trivial
7728.m1	7728q2	7728.m	7728q	$[0, 1, 0, -1160, 3444]$	$1$	$[2]$
7728.m2	7728q1	7728.m	7728q	$[0, 1, 0, 280, 564]$	$1$	$[2]$
7728.n1	7728f1	7728.n	7728f	$[0, 1, 0, -392, 4116]$	$1$	trivial
7728.o1	7728r5	7728.o	7728r	$[0, 1, 0, -1266144, 547941492]$	$0$	$[4]$
7728.o2	7728r3	7728.o	7728r	$[0, 1, 0, -283424, -58169868]$	$0$	$[2]$
7728.o3	7728r4	7728.o	7728r	$[0, 1, 0, -81184, 8073716]$	$0$	$[2, 4]$
7728.o4	7728r2	7728.o	7728r	$[0, 1, 0, -18464, -832524]$	$0$	$[2, 2]$
7728.o5	7728r1	7728.o	7728r	$[0, 1, 0, 2016, -70668]$	$0$	$[2]$
7728.o6	7728r6	7728.o	7728r	$[0, 1, 0, 100256, 39208820]$	$0$	$[4]$
7728.p1	7728u2	7728.p	7728u	$[0, 1, 0, -53544, -4183884]$	$1$	$[2]$
7728.p2	7728u1	7728.p	7728u	$[0, 1, 0, 5336, -344908]$	$1$	$[2]$
7728.q1	7728e2	7728.q	7728e	$[0, 1, 0, -30728, 2061972]$	$1$	$[2]$
7728.q2	7728e1	7728.q	7728e	$[0, 1, 0, -1568, 44100]$	$1$	$[2]$
7728.r1	7728t1	7728.r	7728t	$[0, 1, 0, -253, -7705]$	$1$	trivial
7728.s1	7728o1	7728.s	7728o	$[0, 1, 0, -9840, 373716]$	$1$	trivial
7728.t1	7728p2	7728.t	7728p	$[0, 1, 0, -4004232, -3085271820]$	$1$	$[2]$
7728.t2	7728p1	7728.t	7728p	$[0, 1, 0, -235912, -54035212]$	$1$	$[2]$
7728.u1	7728s1	7728.u	7728s	$[0, 1, 0, -82104, 9072468]$	$0$	trivial