Curve |
Isogeny class |
|
LMFDB label |
Cremona label |
LMFDB label |
Cremona label |
Weierstrass coefficients |
Rank |
Torsion structure |
471510.a1 |
471510a3
|
471510.a |
471510a
|
$[1, -1, 0, -2302065, 1287063675]$ |
$1$ |
$[2]$ |
471510.a2 |
471510a2
|
471510.a |
471510a
|
$[1, -1, 0, -400815, -71569575]$ |
$1$ |
$[2, 2]$ |
471510.a3 |
471510a1
|
471510.a |
471510a
|
$[1, -1, 0, -370395, -86663979]$ |
$1$ |
$[2]$ |
471510.a4 |
471510a4
|
471510.a |
471510a
|
$[1, -1, 0, 1013715, -464526009]$ |
$1$ |
$[2]$ |
471510.b1 |
471510b1
|
471510.b |
471510b
|
$[1, -1, 0, 1573134525, 632871536251761]$ |
$1$ |
trivial |
471510.c1 |
471510c1
|
471510.c |
471510c
|
$[1, -1, 0, -20541891135, -1133200390041459]$ |
$0$ |
$[2]$ |
471510.c2 |
471510c2
|
471510.c |
471510c
|
$[1, -1, 0, -20476995135, -1140716086655859]$ |
$0$ |
$[2]$ |
471510.d1 |
471510d3
|
471510.d |
471510d
|
$[1, -1, 0, -353067480, 2553581378700]$ |
$1$ |
$[2]$ |
471510.d2 |
471510d2
|
471510.d |
471510d
|
$[1, -1, 0, -22067460, 39901026816]$ |
$1$ |
$[2, 2]$ |
471510.d3 |
471510d4
|
471510.d |
471510d
|
$[1, -1, 0, -20090160, 47340815796]$ |
$1$ |
$[2]$ |
471510.d4 |
471510d1
|
471510.d |
471510d
|
$[1, -1, 0, -1503540, 504668880]$ |
$1$ |
$[2]$ |
471510.e1 |
471510e2
|
471510.e |
471510e
|
$[1, -1, 0, -1336230, -592586604]$ |
$2$ |
$[2]$ |
471510.e2 |
471510e1
|
471510.e |
471510e
|
$[1, -1, 0, -119430, -491724]$ |
$2$ |
$[2]$ |
471510.f1 |
471510f4
|
471510.f |
471510f
|
$[1, -1, 0, -555984090, 4975856827956]$ |
$0$ |
$[2]$ |
471510.f2 |
471510f3
|
471510.f |
471510f
|
$[1, -1, 0, -69264090, -102287620044]$ |
$0$ |
$[2]$ |
471510.f3 |
471510f2
|
471510.f |
471510f
|
$[1, -1, 0, -58594275, -169400210355]$ |
$0$ |
$[2]$ |
471510.f4 |
471510f1
|
471510.f |
471510f
|
$[1, -1, 0, -58290075, -171278523675]$ |
$0$ |
$[2]$ |
471510.g1 |
471510g3
|
471510.g |
471510g
|
$[1, -1, 0, -36800880, -85918892500]$ |
$1$ |
$[2]$ |
471510.g2 |
471510g4
|
471510.g |
471510g
|
$[1, -1, 0, -36572730, -87036964390]$ |
$1$ |
$[2]$ |
471510.g3 |
471510g1
|
471510.g |
471510g
|
$[1, -1, 0, -550380, -64306800]$ |
$1$ |
$[2]$ |
471510.g4 |
471510g2
|
471510.g |
471510g
|
$[1, -1, 0, 1984620, -491707800]$ |
$1$ |
$[2]$ |
471510.h1 |
471510h2
|
471510.h |
471510h
|
$[1, -1, 0, -3427605, -1684745555]$ |
$1$ |
$[2]$ |
471510.h2 |
471510h1
|
471510.h |
471510h
|
$[1, -1, 0, -3123405, -2123584475]$ |
$1$ |
$[2]$ |
471510.i1 |
471510i1
|
471510.i |
471510i
|
$[1, -1, 0, 41835, -5383819]$ |
$0$ |
trivial |
471510.j1 |
471510j1
|
471510.j |
471510j
|
$[1, -1, 0, -245038455, 1480006153575]$ |
$1$ |
trivial |
471510.k1 |
471510k1
|
471510.k |
471510k
|
$[1, -1, 0, 28216800, 18629415936]$ |
$1$ |
trivial |
471510.l1 |
471510l1
|
471510.l |
471510l
|
$[1, -1, 0, -15819538500, -793613580671664]$ |
$1$ |
trivial |
471510.m1 |
471510m4
|
471510.m |
471510m
|
$[1, -1, 0, -542310927885, -153716421029442075]$ |
$1$ |
$[2]$ |
471510.m2 |
471510m3
|
471510.m |
471510m
|
$[1, -1, 0, -35841777165, -2110366969569819]$ |
$1$ |
$[2]$ |
471510.m3 |
471510m2
|
471510.m |
471510m
|
$[1, -1, 0, -33894897165, -2401743649761819]$ |
$1$ |
$[2, 2]$ |
471510.m4 |
471510m1
|
471510.m |
471510m
|
$[1, -1, 0, -1997215245, -42010557147675]$ |
$1$ |
$[2]$ |
471510.n1 |
471510n4
|
471510.n |
471510n
|
$[1, -1, 0, -10081980, -12318855080]$ |
$1$ |
$[2]$ |
471510.n2 |
471510n2
|
471510.n |
471510n
|
$[1, -1, 0, -651780, -178415600]$ |
$1$ |
$[2, 2]$ |
471510.n3 |
471510n1
|
471510.n |
471510n
|
$[1, -1, 0, -165060, 22989136]$ |
$1$ |
$[2]$ |
471510.n4 |
471510n3
|
471510.n |
471510n
|
$[1, -1, 0, 990900, -933719864]$ |
$1$ |
$[2]$ |
471510.o1 |
471510o1
|
471510.o |
471510o
|
$[1, -1, 0, 554880, -5658116554]$ |
$1$ |
trivial |
471510.p1 |
471510p1
|
471510.p |
471510p
|
$[1, -1, 0, -46269105, -121156445539]$ |
$1$ |
trivial |
471510.q1 |
471510q3
|
471510.q |
471510q
|
$[1, -1, 0, -303832710, 791012924716]$ |
$0$ |
$[2]$ |
471510.q2 |
471510q2
|
471510.q |
471510q
|
$[1, -1, 0, -162379710, -787800589484]$ |
$0$ |
$[2, 2]$ |
471510.q3 |
471510q1
|
471510.q |
471510q
|
$[1, -1, 0, -161892990, -792807867500]$ |
$0$ |
$[2]$ |
471510.q4 |
471510q4
|
471510.q |
471510q
|
$[1, -1, 0, -28714230, -2046154151300]$ |
$0$ |
$[2]$ |
471510.r1 |
471510r3
|
471510.r |
471510r
|
$[1, -1, 0, -220618800, 1260371020000]$ |
$0$ |
$[2]$ |
471510.r2 |
471510r2
|
471510.r |
471510r
|
$[1, -1, 0, -16926480, 10066821376]$ |
$0$ |
$[2, 2]$ |
471510.r3 |
471510r1
|
471510.r |
471510r
|
$[1, -1, 0, -9138960, -10521824000]$ |
$0$ |
$[2]$ |
471510.r4 |
471510r4
|
471510.r |
471510r
|
$[1, -1, 0, 62165520, 77342476576]$ |
$0$ |
$[2]$ |
471510.s1 |
471510s2
|
471510.s |
471510s
|
$[1, -1, 0, -42884880, 108105208576]$ |
$0$ |
$[2]$ |
471510.s2 |
471510s1
|
471510.s |
471510s
|
$[1, -1, 0, -2649360, 1730540800]$ |
$0$ |
$[2]$ |
471510.t1 |
471510t1
|
471510.t |
471510t
|
$[1, -1, 0, 355005, 52612821]$ |
$1$ |
trivial |
471510.u1 |
471510u1
|
471510.u |
471510u
|
$[1, -1, 0, -38501865, 117310236525]$ |
$0$ |
trivial |
471510.v1 |
471510v1
|
471510.v |
471510v
|
$[1, -1, 0, -15300, -905904]$ |
$1$ |
trivial |