Curve |
Isogeny class |
|
LMFDB label |
Cremona label |
LMFDB label |
Cremona label |
Weierstrass coefficients |
Rank |
Torsion structure |
700.a1 |
700g1
|
700.a |
700g
|
$[0, 0, 0, -40, 100]$ |
$1$ |
trivial |
700.b1 |
700d1
|
700.b |
700d
|
$[0, 0, 0, 800, 26500]$ |
$1$ |
trivial |
700.c1 |
700i2
|
700.c |
700i
|
$[0, 1, 0, -2458, -47787]$ |
$0$ |
trivial |
700.c2 |
700i1
|
700.c |
700i
|
$[0, 1, 0, 42, -287]$ |
$0$ |
$[3]$ |
700.d1 |
700a2
|
700.d |
700a
|
$[0, -1, 0, -20133, -1092863]$ |
$0$ |
trivial |
700.d2 |
700a1
|
700.d |
700a
|
$[0, -1, 0, -133, -2863]$ |
$0$ |
trivial |
700.e1 |
700f1
|
700.e |
700f
|
$[0, 0, 0, -125, 625]$ |
$1$ |
trivial |
700.f1 |
700e1
|
700.f |
700e
|
$[0, 0, 0, -2000, -34375]$ |
$1$ |
$[2]$ |
700.f2 |
700e2
|
700.f |
700e
|
$[0, 0, 0, -1375, -56250]$ |
$1$ |
$[2]$ |
700.g1 |
700c1
|
700.g |
700c
|
$[0, 0, 0, -5, 5]$ |
$1$ |
trivial |
700.h1 |
700h1
|
700.h |
700h
|
$[0, 0, 0, -80, -275]$ |
$0$ |
$[2]$ |
700.h2 |
700h2
|
700.h |
700h
|
$[0, 0, 0, -55, -450]$ |
$0$ |
$[2]$ |
700.i1 |
700b2
|
700.i |
700b
|
$[0, -1, 0, -98, -343]$ |
$0$ |
trivial |
700.i2 |
700b1
|
700.i |
700b
|
$[0, -1, 0, 2, -3]$ |
$0$ |
trivial |
700.j1 |
700j1
|
700.j |
700j
|
$[0, 0, 0, -1000, 12500]$ |
$0$ |
trivial |