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 |