Curve |
Isogeny class |
|
LMFDB label |
Cremona label |
LMFDB label |
Cremona label |
Weierstrass coefficients |
Rank |
Torsion structure |
5550.a1 |
5550h1
|
5550.a |
5550h
|
$[1, 1, 0, -75, 225]$ |
$2$ |
trivial |
5550.b1 |
5550d2
|
5550.b |
5550d
|
$[1, 1, 0, -1275, 16875]$ |
$1$ |
$[2]$ |
5550.b2 |
5550d1
|
5550.b |
5550d
|
$[1, 1, 0, -25, 625]$ |
$1$ |
$[2]$ |
5550.c1 |
5550l2
|
5550.c |
5550l
|
$[1, 1, 0, -365, 1275]$ |
$1$ |
$[2]$ |
5550.c2 |
5550l1
|
5550.c |
5550l
|
$[1, 1, 0, -315, 2025]$ |
$1$ |
$[2]$ |
5550.d1 |
5550k1
|
5550.d |
5550k
|
$[1, 1, 0, -5830, -173900]$ |
$1$ |
trivial |
5550.e1 |
5550j1
|
5550.e |
5550j
|
$[1, 1, 0, -6450, -103500]$ |
$1$ |
trivial |
5550.f1 |
5550f1
|
5550.f |
5550f
|
$[1, 1, 0, -47700, -4029750]$ |
$0$ |
trivial |
5550.g1 |
5550b2
|
5550.g |
5550b
|
$[1, 1, 0, -184100900, -961538430000]$ |
$1$ |
trivial |
5550.g2 |
5550b1
|
5550.g |
5550b
|
$[1, 1, 0, -2084900, -1546878000]$ |
$1$ |
trivial |
5550.h1 |
5550a2
|
5550.h |
5550a
|
$[1, 1, 0, -3700, -88250]$ |
$1$ |
trivial |
5550.h2 |
5550a1
|
5550.h |
5550a
|
$[1, 1, 0, 50, -500]$ |
$1$ |
trivial |
5550.i1 |
5550c1
|
5550.i |
5550c
|
$[1, 1, 0, -260, -1680]$ |
$1$ |
trivial |
5550.j1 |
5550g2
|
5550.j |
5550g
|
$[1, 1, 0, -873385, 313800325]$ |
$0$ |
$[2]$ |
5550.j2 |
5550g1
|
5550.j |
5550g
|
$[1, 1, 0, -54185, 4961925]$ |
$0$ |
$[2]$ |
5550.k1 |
5550e1
|
5550.k |
5550e
|
$[1, 1, 0, -7025, 295125]$ |
$0$ |
trivial |
5550.l1 |
5550i1
|
5550.l |
5550i
|
$[1, 1, 0, -4575, 757125]$ |
$0$ |
trivial |
5550.m1 |
5550n1
|
5550.m |
5550n
|
$[1, 0, 1, -21626, -1225852]$ |
$0$ |
trivial |
5550.n1 |
5550q1
|
5550.n |
5550q
|
$[1, 0, 1, 424, 21548]$ |
$1$ |
trivial |
5550.o1 |
5550r1
|
5550.o |
5550r
|
$[1, 0, 1, -326, 2048]$ |
$1$ |
trivial |
5550.p1 |
5550u2
|
5550.p |
5550u
|
$[1, 0, 1, -6201, -177452]$ |
$0$ |
$[2]$ |
5550.p2 |
5550u1
|
5550.p |
5550u
|
$[1, 0, 1, -1201, 12548]$ |
$0$ |
$[2]$ |
5550.q1 |
5550o2
|
5550.q |
5550o
|
$[1, 0, 1, -528651, -147949802]$ |
$1$ |
$[2]$ |
5550.q2 |
5550o1
|
5550.q |
5550o
|
$[1, 0, 1, -28651, -2949802]$ |
$1$ |
$[2]$ |
5550.r1 |
5550m4
|
5550.r |
5550m
|
$[1, 0, 1, -8525126, 9580034648]$ |
$0$ |
$[2]$ |
5550.r2 |
5550m5
|
5550.r |
5550m
|
$[1, 0, 1, -7578126, -7995265352]$ |
$0$ |
$[2]$ |
5550.r3 |
5550m3
|
5550.r |
5550m
|
$[1, 0, 1, -733126, 27074648]$ |
$0$ |
$[2, 2]$ |
5550.r4 |
5550m2
|
5550.r |
5550m
|
$[1, 0, 1, -533126, 149474648]$ |
$0$ |
$[2, 2]$ |
5550.r5 |
5550m1
|
5550.r |
5550m
|
$[1, 0, 1, -21126, 4066648]$ |
$0$ |
$[2]$ |
5550.r6 |
5550m6
|
5550.r |
5550m
|
$[1, 0, 1, 2911874, 216614648]$ |
$0$ |
$[2]$ |
5550.s1 |
5550t2
|
5550.s |
5550t
|
$[1, 0, 1, -70576, -7222402]$ |
$0$ |
trivial |
5550.s2 |
5550t1
|
5550.s |
5550t
|
$[1, 0, 1, -1201, -1852]$ |
$0$ |
$[3]$ |
5550.t1 |
5550p1
|
5550.t |
5550p
|
$[1, 0, 1, -3251, 72398]$ |
$1$ |
trivial |
5550.u1 |
5550s1
|
5550.u |
5550s
|
$[1, 0, 1, 78674, -21105952]$ |
$1$ |
trivial |
5550.v1 |
5550bb1
|
5550.v |
5550bb
|
$[1, 1, 1, 3147, -167589]$ |
$1$ |
trivial |
5550.w1 |
5550bc3
|
5550.w |
5550bc
|
$[1, 1, 1, -8011463, -1800202219]$ |
$1$ |
$[2]$ |
5550.w2 |
5550bc2
|
5550.w |
5550bc
|
$[1, 1, 1, -4886463, 4131047781]$ |
$1$ |
$[2, 2]$ |
5550.w3 |
5550bc1
|
5550.w |
5550bc
|
$[1, 1, 1, -4878463, 4145335781]$ |
$1$ |
$[4]$ |
5550.w4 |
5550bc4
|
5550.w |
5550bc
|
$[1, 1, 1, -1889463, 9148025781]$ |
$1$ |
$[2]$ |
5550.x1 |
5550w2
|
5550.x |
5550w
|
$[1, 1, 1, -1764388, -902800219]$ |
$0$ |
trivial |
5550.x2 |
5550w1
|
5550.x |
5550w
|
$[1, 1, 1, -30013, -231469]$ |
$0$ |
trivial |
5550.y1 |
5550z1
|
5550.y |
5550z
|
$[1, 1, 1, -4588, 7600781]$ |
$1$ |
trivial |
5550.z1 |
5550y1
|
5550.z |
5550y
|
$[1, 1, 1, 37, -5719]$ |
$1$ |
trivial |
5550.ba1 |
5550v2
|
5550.ba |
5550v
|
$[1, 1, 1, -177213, -28823469]$ |
$0$ |
trivial |
5550.ba2 |
5550v1
|
5550.ba |
5550v
|
$[1, 1, 1, 3162, -185469]$ |
$0$ |
trivial |
5550.bb1 |
5550ba1
|
5550.bb |
5550ba
|
$[1, 1, 1, -13, 11]$ |
$1$ |
trivial |
5550.bc1 |
5550bd2
|
5550.bc |
5550bd
|
$[1, 1, 1, -248, -1519]$ |
$1$ |
$[2]$ |
5550.bc2 |
5550bd1
|
5550.bc |
5550bd
|
$[1, 1, 1, -48, 81]$ |
$1$ |
$[2]$ |
5550.bd1 |
5550x4
|
5550.bd |
5550x
|
$[1, 1, 1, -262188, -23175219]$ |
$0$ |
$[2]$ |
5550.bd2 |
5550x2
|
5550.bd |
5550x
|
$[1, 1, 1, -132813, 18573531]$ |
$0$ |
$[2]$ |