| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 1526.f2 |
1526e1 |
1526.f |
1526e |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 109 \) |
\( - 2^{5} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$30520$ |
$48$ |
$1$ |
$2.467963643$ |
$1$ |
|
$8$ |
$400$ |
$0.173113$ |
$13806727199/58622816$ |
$0.87963$ |
$3.43703$ |
$[1, 1, 1, 50, 363]$ |
\(y^2+xy+y=x^3+x^2+50x+363\) |
5.24.0-5.a.1.2, 6104.2.0.?, 30520.48.1.? |
$[(21, 95)]$ |
| 10682.f2 |
10682f1 |
10682.f |
10682f |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 109 \) |
\( - 2^{5} \cdot 7^{11} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1.939376585$ |
$1$ |
|
$2$ |
$19200$ |
$1.146069$ |
$13806727199/58622816$ |
$0.87963$ |
$3.97467$ |
$[1, 0, 0, 2449, -117223]$ |
\(y^2+xy=x^3+2449x-117223\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 4360.24.0.?, 6104.2.0.?, 30520.48.1.? |
$[(74, 649)]$ |
| 12208.k2 |
12208g1 |
12208.k |
12208g |
$2$ |
$5$ |
\( 2^{4} \cdot 7 \cdot 109 \) |
\( - 2^{17} \cdot 7^{5} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9600$ |
$0.866261$ |
$13806727199/58622816$ |
$0.87963$ |
$3.56144$ |
$[0, 1, 0, 800, -21644]$ |
\(y^2=x^3+x^2+800x-21644\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 6104.2.0.?, 30520.48.1.? |
$[]$ |
| 13734.e2 |
13734e1 |
13734.e |
13734e |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 109 \) |
\( - 2^{5} \cdot 3^{6} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$91560$ |
$48$ |
$1$ |
$1.159226016$ |
$1$ |
|
$4$ |
$12000$ |
$0.722420$ |
$13806727199/58622816$ |
$0.87963$ |
$3.33624$ |
$[1, -1, 0, 450, -9356]$ |
\(y^2+xy=x^3-x^2+450x-9356\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 6104.2.0.?, 30520.24.1.?, 91560.48.1.? |
$[(15, 17)]$ |
| 38150.j2 |
38150d1 |
38150.j |
38150d |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 109 \) |
\( - 2^{5} \cdot 5^{6} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$30520$ |
$48$ |
$1$ |
$7.580363818$ |
$1$ |
|
$0$ |
$56000$ |
$0.977832$ |
$13806727199/58622816$ |
$0.87963$ |
$3.30368$ |
$[1, 0, 1, 1249, 42898]$ |
\(y^2+xy+y=x^3+1249x+42898\) |
5.24.0-5.a.1.1, 6104.2.0.?, 30520.48.1.? |
$[(-497/6, 34187/6)]$ |
| 48832.p2 |
48832be1 |
48832.p |
48832be |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 109 \) |
\( - 2^{23} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$5.254018331$ |
$1$ |
|
$2$ |
$76800$ |
$1.212833$ |
$13806727199/58622816$ |
$0.87963$ |
$3.48935$ |
$[0, -1, 0, 3199, -176351]$ |
\(y^2=x^3-x^2+3199x-176351\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 6104.2.0.?, 15260.24.0.?, 30520.48.1.? |
$[(152, 1949)]$ |
| 48832.bc2 |
48832o1 |
48832.bc |
48832o |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 109 \) |
\( - 2^{23} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1.459056781$ |
$1$ |
|
$2$ |
$76800$ |
$1.212833$ |
$13806727199/58622816$ |
$0.87963$ |
$3.48935$ |
$[0, 1, 0, 3199, 176351]$ |
\(y^2=x^3+x^2+3199x+176351\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 6104.2.0.?, 7630.24.0.?, 30520.48.1.? |
$[(-7, 392)]$ |
| 85456.i2 |
85456o1 |
85456.i |
85456o |
$2$ |
$5$ |
\( 2^{4} \cdot 7^{2} \cdot 109 \) |
\( - 2^{17} \cdot 7^{11} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1.331935332$ |
$1$ |
|
$0$ |
$460800$ |
$1.839216$ |
$13806727199/58622816$ |
$0.87963$ |
$3.97931$ |
$[0, -1, 0, 39184, 7502272]$ |
\(y^2=x^3-x^2+39184x+7502272\) |
5.12.0.a.1, 140.24.0.?, 4360.24.0.?, 6104.2.0.?, 30520.48.1.? |
$[(136/3, 76832/3)]$ |
| 96138.s2 |
96138n1 |
96138.s |
96138n |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 109 \) |
\( - 2^{5} \cdot 3^{6} \cdot 7^{11} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$91560$ |
$48$ |
$1$ |
$10.01205065$ |
$1$ |
|
$0$ |
$576000$ |
$1.695374$ |
$13806727199/58622816$ |
$0.87963$ |
$3.78802$ |
$[1, -1, 0, 22041, 3165021]$ |
\(y^2+xy=x^3-x^2+22041x+3165021\) |
5.12.0.a.1, 105.24.0.?, 6104.2.0.?, 13080.24.0.?, 30520.24.1.?, $\ldots$ |
$[(130321/15, 47929811/15)]$ |
| 109872.q2 |
109872bh1 |
109872.q |
109872bh |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 109 \) |
\( - 2^{17} \cdot 3^{6} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$91560$ |
$48$ |
$1$ |
$4.388572696$ |
$1$ |
|
$2$ |
$288000$ |
$1.415567$ |
$13806727199/58622816$ |
$0.87963$ |
$3.45516$ |
$[0, 0, 0, 7197, 591586]$ |
\(y^2=x^3+7197x+591586\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 6104.2.0.?, 30520.24.1.?, 91560.48.1.? |
$[(63, 1138)]$ |
| 166334.b2 |
166334g1 |
166334.b |
166334g |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 109^{2} \) |
\( - 2^{5} \cdot 7^{5} \cdot 109^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4752000$ |
$2.518787$ |
$13806727199/58622816$ |
$0.87963$ |
$4.43720$ |
$[1, 1, 0, 593803, 443604493]$ |
\(y^2+xy=x^3+x^2+593803x+443604493\) |
5.12.0.a.1, 280.24.0.?, 545.24.0.?, 6104.2.0.?, 30520.48.1.? |
$[]$ |
| 184646.b2 |
184646o1 |
184646.b |
184646o |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 109 \) |
\( - 2^{5} \cdot 7^{5} \cdot 11^{6} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$335720$ |
$48$ |
$1$ |
$13.64143505$ |
$1$ |
|
$0$ |
$540000$ |
$1.372061$ |
$13806727199/58622816$ |
$0.87963$ |
$3.26419$ |
$[1, 1, 0, 6048, -453152]$ |
\(y^2+xy=x^3+x^2+6048x-453152\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 6104.2.0.?, 30520.24.1.?, 335720.48.1.? |
$[(534883/71, 404083639/71)]$ |
| 257894.d2 |
257894d1 |
257894.d |
257894d |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 13^{2} \cdot 109 \) |
\( - 2^{5} \cdot 7^{5} \cdot 13^{6} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$396760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$768000$ |
$1.455587$ |
$13806727199/58622816$ |
$0.87963$ |
$3.25711$ |
$[1, 1, 0, 8447, 755669]$ |
\(y^2+xy=x^3+x^2+8447x+755669\) |
5.12.0.a.1, 65.24.0-5.a.1.1, 6104.2.0.?, 30520.24.1.?, 396760.48.1.? |
$[]$ |
| 267050.k2 |
267050k1 |
267050.k |
267050k |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 109 \) |
\( - 2^{5} \cdot 5^{6} \cdot 7^{11} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2688000$ |
$1.950787$ |
$13806727199/58622816$ |
$0.87963$ |
$3.72359$ |
$[1, 1, 0, 61225, -14652875]$ |
\(y^2+xy=x^3+x^2+61225x-14652875\) |
5.12.0.a.1, 35.24.0-5.a.1.1, 4360.24.0.?, 6104.2.0.?, 30520.48.1.? |
$[]$ |
| 305200.bf2 |
305200bf1 |
305200.bf |
305200bf |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 109 \) |
\( - 2^{17} \cdot 5^{6} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$3.414921344$ |
$1$ |
|
$2$ |
$1344000$ |
$1.670979$ |
$13806727199/58622816$ |
$0.87963$ |
$3.41834$ |
$[0, -1, 0, 19992, -2745488]$ |
\(y^2=x^3-x^2+19992x-2745488\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 6104.2.0.?, 30520.48.1.? |
$[(178, 2534)]$ |
| 341824.x2 |
341824x1 |
341824.x |
341824x |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 109 \) |
\( - 2^{23} \cdot 7^{11} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$9.418662123$ |
$1$ |
|
$2$ |
$3686400$ |
$2.185787$ |
$13806727199/58622816$ |
$0.87963$ |
$3.87276$ |
$[0, -1, 0, 156735, -60174911]$ |
\(y^2=x^3-x^2+156735x-60174911\) |
5.12.0.a.1, 280.24.0.?, 1090.24.0.?, 6104.2.0.?, 30520.48.1.? |
$[(172191, 71452192)]$ |
| 341824.bs2 |
341824bs1 |
341824.bs |
341824bs |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 109 \) |
\( - 2^{23} \cdot 7^{11} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$30520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3686400$ |
$2.185787$ |
$13806727199/58622816$ |
$0.87963$ |
$3.87276$ |
$[0, 1, 0, 156735, 60174911]$ |
\(y^2=x^3+x^2+156735x+60174911\) |
5.12.0.a.1, 280.24.0.?, 2180.24.0.?, 6104.2.0.?, 30520.48.1.? |
$[]$ |
| 343350.dx2 |
343350dx1 |
343350.dx |
343350dx |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 109 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 7^{5} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$91560$ |
$48$ |
$1$ |
$11.85612825$ |
$1$ |
|
$0$ |
$1680000$ |
$1.527138$ |
$13806727199/58622816$ |
$0.87963$ |
$3.25133$ |
$[1, -1, 1, 11245, -1158253]$ |
\(y^2+xy+y=x^3-x^2+11245x-1158253\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 6104.2.0.?, 30520.24.1.?, 91560.48.1.? |
$[(179503/41, 73392566/41)]$ |
| 439488.du2 |
439488du1 |
439488.du |
439488du |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 109 \) |
\( - 2^{23} \cdot 3^{6} \cdot 7^{5} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$91560$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2304000$ |
$1.762140$ |
$13806727199/58622816$ |
$0.87963$ |
$3.40660$ |
$[0, 0, 0, 28788, 4732688]$ |
\(y^2=x^3+28788x+4732688\) |
5.12.0.a.1, 120.24.0.?, 6104.2.0.?, 30520.24.1.?, 45780.24.0.?, $\ldots$ |
$[]$ |
| 439488.ef2 |
439488ef1 |
439488.ef |
439488ef |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 109 \) |
\( - 2^{23} \cdot 3^{6} \cdot 7^{5} \cdot 109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$91560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2304000$ |
$1.762140$ |
$13806727199/58622816$ |
$0.87963$ |
$3.40660$ |
$[0, 0, 0, 28788, -4732688]$ |
\(y^2=x^3+28788x-4732688\) |
5.12.0.a.1, 120.24.0.?, 6104.2.0.?, 22890.24.0.?, 30520.24.1.?, $\ldots$ |
$[]$ |
| 441014.p2 |
441014p1 |
441014.p |
441014p |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 17^{2} \cdot 109 \) |
\( - 2^{5} \cdot 7^{5} \cdot 17^{6} \cdot 109 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$518840$ |
$48$ |
$1$ |
$1.827108974$ |
$1$ |
|
$4$ |
$2048000$ |
$1.589720$ |
$13806727199/58622816$ |
$0.87963$ |
$3.24649$ |
$[1, 0, 0, 14444, 1683184]$ |
\(y^2+xy=x^3+14444x+1683184\) |
5.12.0.a.1, 85.24.0.?, 6104.2.0.?, 30520.24.1.?, 518840.48.1.? |
$[(-78, 328)]$ |
