Curve |
Isogeny class |
|
LMFDB label |
Cremona label |
LMFDB label |
Cremona label |
Weierstrass coefficients |
Rank |
Torsion structure |
8470.a1 |
8470m1
|
8470.a |
8470m
|
$[1, -1, 0, -1414, -527180]$ |
$1$ |
trivial |
8470.b1 |
8470e1
|
8470.b |
8470e
|
$[1, 0, 1, -179, -2994]$ |
$0$ |
trivial |
8470.b2 |
8470e2
|
8470.b |
8470e
|
$[1, 0, 1, 1581, 73742]$ |
$0$ |
trivial |
8470.c1 |
8470f4
|
8470.c |
8470f
|
$[1, 0, 1, -3160039, 2100623886]$ |
$0$ |
$[2]$ |
8470.c2 |
8470f2
|
8470.c |
8470f
|
$[1, 0, 1, -432699, -108616378]$ |
$0$ |
$[2]$ |
8470.c3 |
8470f1
|
8470.c |
8470f
|
$[1, 0, 1, -6779, -4180794]$ |
$0$ |
$[2]$ |
8470.c4 |
8470f3
|
8470.c |
8470f
|
$[1, 0, 1, 60981, 112610342]$ |
$0$ |
$[2]$ |
8470.d1 |
8470g2
|
8470.d |
8470g
|
$[1, 0, 1, -179, 306]$ |
$2$ |
$[2]$ |
8470.d2 |
8470g1
|
8470.d |
8470g
|
$[1, 0, 1, 41, 42]$ |
$2$ |
$[2]$ |
8470.e1 |
8470l4
|
8470.e |
8470l
|
$[1, 0, 1, -425923, 106370856]$ |
$1$ |
$[2]$ |
8470.e2 |
8470l2
|
8470.e |
8470l
|
$[1, 0, 1, -32673, -2178244]$ |
$1$ |
$[2]$ |
8470.e3 |
8470l3
|
8470.e |
8470l
|
$[1, 0, 1, -10893, 3609428]$ |
$1$ |
$[2]$ |
8470.e4 |
8470l1
|
8470.e |
8470l
|
$[1, 0, 1, 1207, -131892]$ |
$1$ |
$[2]$ |
8470.f1 |
8470o2
|
8470.f |
8470o
|
$[1, 0, 1, -3028, -64374]$ |
$0$ |
trivial |
8470.f2 |
8470o1
|
8470.f |
8470o
|
$[1, 0, 1, -3, -244]$ |
$0$ |
$[3]$ |
8470.g1 |
8470j1
|
8470.g |
8470j
|
$[1, 1, 0, 1692, -842288]$ |
$1$ |
trivial |
8470.h1 |
8470b2
|
8470.h |
8470b
|
$[1, -1, 0, -820, 9246]$ |
$1$ |
$[2]$ |
8470.h2 |
8470b1
|
8470.h |
8470b
|
$[1, -1, 0, -50, 160]$ |
$1$ |
$[2]$ |
8470.i1 |
8470a2
|
8470.i |
8470a
|
$[1, -1, 0, -116352110, -483040019500]$ |
$1$ |
$[2]$ |
8470.i2 |
8470a1
|
8470.i |
8470a
|
$[1, -1, 0, -7316590, -7448888364]$ |
$1$ |
$[2]$ |
8470.j1 |
8470h4
|
8470.j |
8470h
|
$[1, -1, 0, -32390, 2251706]$ |
$1$ |
$[2]$ |
8470.j2 |
8470h3
|
8470.j |
8470h
|
$[1, -1, 0, -10610, -390450]$ |
$1$ |
$[2]$ |
8470.j3 |
8470h2
|
8470.j |
8470h
|
$[1, -1, 0, -2140, 31356]$ |
$1$ |
$[2, 2]$ |
8470.j4 |
8470h1
|
8470.j |
8470h
|
$[1, -1, 0, 280, 2800]$ |
$1$ |
$[2]$ |
8470.k1 |
8470c1
|
8470.k |
8470c
|
$[1, 0, 1, -51549, -4518384]$ |
$0$ |
trivial |
8470.k2 |
8470c2
|
8470.k |
8470c
|
$[1, 0, 1, 94861, -22731788]$ |
$0$ |
trivial |
8470.l1 |
8470d2
|
8470.l |
8470d
|
$[1, 0, 1, -648574, 200988016]$ |
$0$ |
trivial |
8470.l2 |
8470d1
|
8470.l |
8470d
|
$[1, 0, 1, -7934, 280432]$ |
$0$ |
trivial |
8470.m1 |
8470i1
|
8470.m |
8470i
|
$[1, 0, 1, -4964, 227962]$ |
$1$ |
$[3]$ |
8470.m2 |
8470i2
|
8470.m |
8470i
|
$[1, 0, 1, 41621, -4132394]$ |
$1$ |
trivial |
8470.n1 |
8470k1
|
8470.n |
8470k
|
$[1, 0, 1, -4821853, -4076792744]$ |
$1$ |
trivial |
8470.o1 |
8470n1
|
8470.o |
8470n
|
$[1, 0, 1, -16943, 2456056]$ |
$0$ |
$[3]$ |
8470.o2 |
8470n2
|
8470.o |
8470n
|
$[1, 0, 1, 149432, -59235794]$ |
$0$ |
trivial |
8470.p1 |
8470p1
|
8470.p |
8470p
|
$[1, -1, 0, -280924, 57381968]$ |
$0$ |
trivial |
8470.q1 |
8470bh1
|
8470.q |
8470bh
|
$[1, -1, 1, -12, 399]$ |
$1$ |
trivial |
8470.r1 |
8470u4
|
8470.r |
8470u
|
$[1, 0, 0, -1893471, -774028199]$ |
$1$ |
$[2]$ |
8470.r2 |
8470u2
|
8470.r |
8470u
|
$[1, 0, 0, -1770656, -907026680]$ |
$1$ |
$[2]$ |
8470.r3 |
8470u1
|
8470.r |
8470u
|
$[1, 0, 0, -110536, -14214144]$ |
$1$ |
$[2]$ |
8470.r4 |
8470u3
|
8470.r |
8470u
|
$[1, 0, 0, 274849, -75395495]$ |
$1$ |
$[2]$ |
8470.s1 |
8470q2
|
8470.s |
8470q
|
$[1, 0, 0, -21601, -429219]$ |
$0$ |
$[2]$ |
8470.s2 |
8470q1
|
8470.s |
8470q
|
$[1, 0, 0, 5019, -51215]$ |
$0$ |
$[2]$ |
8470.t1 |
8470z1
|
8470.t |
8470z
|
$[1, 0, 0, -21601, 3963081]$ |
$0$ |
$[3]$ |
8470.t2 |
8470z2
|
8470.t |
8470z
|
$[1, 0, 0, 191359, -97959575]$ |
$0$ |
trivial |
8470.u1 |
8470bc2
|
8470.u |
8470bc
|
$[1, 0, 0, -366330, 85315132]$ |
$0$ |
trivial |
8470.u2 |
8470bc1
|
8470.u |
8470bc
|
$[1, 0, 0, -305, 324127]$ |
$0$ |
trivial |
8470.v1 |
8470bg2
|
8470.v |
8470bg
|
$[1, 0, 0, -102550, -12089868]$ |
$1$ |
$[2]$ |
8470.v2 |
8470bg1
|
8470.v |
8470bg
|
$[1, 0, 0, 3930, -739100]$ |
$1$ |
$[2]$ |
8470.w1 |
8470s1
|
8470.w |
8470s
|
$[1, 1, 1, 14, 639]$ |
$1$ |
trivial |
8470.x1 |
8470v2
|
8470.x |
8470v
|
$[1, -1, 1, -961588, 363177367]$ |
$1$ |
$[2]$ |
8470.x2 |
8470v1
|
8470.x |
8470v
|
$[1, -1, 1, -60468, 5612951]$ |
$1$ |
$[2]$ |