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 |
138.c4 |
138c1 |
138.c |
138c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8$ |
$-0.638133$ |
$2924207/3312$ |
$0.89878$ |
$3.02167$ |
$[1, 1, 1, 3, 3]$ |
\(y^2+xy+y=x^3+x^2+3x+3\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[ ]$ |
414.a4 |
414c1 |
414.a |
414c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$0.477003506$ |
$1$ |
|
$9$ |
$64$ |
$-0.088827$ |
$2924207/3312$ |
$0.89878$ |
$3.56467$ |
$[1, -1, 0, 27, -59]$ |
\(y^2+xy=x^3-x^2+27x-59\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ |
$[(5, 11)]$ |
1104.g4 |
1104h1 |
1104.g |
1104h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.055014$ |
$2924207/3312$ |
$0.89878$ |
$3.31202$ |
$[0, 1, 0, 48, -108]$ |
\(y^2=x^3+x^2+48x-108\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[ ]$ |
3174.e4 |
3174g1 |
3174.e |
3174g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$184$ |
$48$ |
$0$ |
$3.830092543$ |
$1$ |
|
$5$ |
$4224$ |
$0.929614$ |
$2924207/3312$ |
$0.89878$ |
$4.17990$ |
$[1, 1, 1, 1576, -22903]$ |
\(y^2+xy+y=x^3+x^2+1576x-22903\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[(111, 1183)]$ |
3312.d4 |
3312p1 |
3312.d |
3312p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$0.893729284$ |
$1$ |
|
$7$ |
$1536$ |
$0.604321$ |
$2924207/3312$ |
$0.89878$ |
$3.67635$ |
$[0, 0, 0, 429, 3346]$ |
\(y^2=x^3+429x+3346\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$ |
$[(-1, 54)]$ |
3450.k4 |
3450i1 |
3450.k |
3450i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$1.165240284$ |
$1$ |
|
$5$ |
$1024$ |
$0.166586$ |
$2924207/3312$ |
$0.89878$ |
$3.01311$ |
$[1, 0, 1, 74, 248]$ |
\(y^2+xy+y=x^3+74x+248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$ |
$[(1, 17)]$ |
4416.c4 |
4416w1 |
4416.c |
4416w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 23 \) |
\( - 2^{22} \cdot 3^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$184$ |
$48$ |
$0$ |
$1.617691578$ |
$1$ |
|
$5$ |
$1536$ |
$0.401588$ |
$2924207/3312$ |
$0.89878$ |
$3.26048$ |
$[0, -1, 0, 191, -1055]$ |
\(y^2=x^3-x^2+191x-1055\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(7, 24)]$ |
4416.s4 |
4416i1 |
4416.s |
4416i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 23 \) |
\( - 2^{22} \cdot 3^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.401588$ |
$2924207/3312$ |
$0.89878$ |
$3.26048$ |
$[0, 1, 0, 191, 1055]$ |
\(y^2=x^3+x^2+191x+1055\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
6762.bg4 |
6762bi1 |
6762.bg |
6762bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.334822$ |
$2924207/3312$ |
$0.89878$ |
$3.01211$ |
$[1, 0, 0, 146, -652]$ |
\(y^2+xy=x^3+146x-652\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.2, 46.6.0.a.1, $\ldots$ |
$[ ]$ |
9522.d4 |
9522e1 |
9522.d |
9522e |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$2.673270847$ |
$1$ |
|
$3$ |
$33792$ |
$1.478920$ |
$2924207/3312$ |
$0.89878$ |
$4.39816$ |
$[1, -1, 0, 14184, 632560]$ |
\(y^2+xy=x^3-x^2+14184x+632560\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.1, $\ldots$ |
$[(8, 860)]$ |
10350.bj4 |
10350bg1 |
10350.bj |
10350bg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2760$ |
$48$ |
$0$ |
$1.372415011$ |
$1$ |
|
$5$ |
$8192$ |
$0.715892$ |
$2924207/3312$ |
$0.89878$ |
$3.36806$ |
$[1, -1, 1, 670, -6703]$ |
\(y^2+xy+y=x^3-x^2+670x-6703\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(15, 73)]$ |
13248.bj4 |
13248be1 |
13248.bj |
13248be |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$2.234741984$ |
$1$ |
|
$5$ |
$12288$ |
$0.950894$ |
$2924207/3312$ |
$0.89878$ |
$3.57757$ |
$[0, 0, 0, 1716, 26768]$ |
\(y^2=x^3+1716x+26768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 46.6.0.a.1, $\ldots$ |
$[(-11, 81)]$ |
13248.bk4 |
13248r1 |
13248.bk |
13248r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$2.888627098$ |
$1$ |
|
$3$ |
$12288$ |
$0.950894$ |
$2924207/3312$ |
$0.89878$ |
$3.57757$ |
$[0, 0, 0, 1716, -26768]$ |
\(y^2=x^3+1716x-26768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 46.6.0.a.1, $\ldots$ |
$[(164, 2160)]$ |
16698.j4 |
16698e1 |
16698.j |
16698e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 11^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.560815$ |
$2924207/3312$ |
$0.89878$ |
$3.01098$ |
$[1, 1, 0, 361, -2427]$ |
\(y^2+xy=x^3+x^2+361x-2427\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.2, 46.6.0.a.1, $\ldots$ |
$[ ]$ |
20286.z4 |
20286bd1 |
20286.z |
20286bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.884129$ |
$2924207/3312$ |
$0.89878$ |
$3.34309$ |
$[1, -1, 0, 1314, 17604]$ |
\(y^2+xy=x^3-x^2+1314x+17604\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
23322.c4 |
23322b1 |
23322.c |
23322b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 13^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2392$ |
$48$ |
$0$ |
$0.836155596$ |
$1$ |
|
$7$ |
$18432$ |
$0.644341$ |
$2924207/3312$ |
$0.89878$ |
$3.01062$ |
$[1, 1, 0, 504, 4464]$ |
\(y^2+xy=x^3+x^2+504x+4464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(5, 82)]$ |
25392.p4 |
25392be1 |
25392.p |
25392be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.622761$ |
$2924207/3312$ |
$0.89878$ |
$4.14302$ |
$[0, 1, 0, 25216, 1516212]$ |
\(y^2=x^3+x^2+25216x+1516212\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[ ]$ |
27600.w4 |
27600be1 |
27600.w |
27600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 5^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.859734$ |
$2924207/3312$ |
$0.89878$ |
$3.21380$ |
$[0, -1, 0, 1192, -15888]$ |
\(y^2=x^3-x^2+1192x-15888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.1, 40.24.0-8.p.1.3, $\ldots$ |
$[ ]$ |
39882.bu4 |
39882bt1 |
39882.bu |
39882bt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40960$ |
$0.778474$ |
$2924207/3312$ |
$0.89878$ |
$3.01008$ |
$[1, 0, 0, 861, 9585]$ |
\(y^2+xy=x^3+861x+9585\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
49818.p4 |
49818k1 |
49818.p |
49818k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 19^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3496$ |
$48$ |
$0$ |
$6.262935254$ |
$1$ |
|
$1$ |
$48384$ |
$0.834086$ |
$2924207/3312$ |
$0.89878$ |
$3.00987$ |
$[1, 0, 1, 1075, -13192]$ |
\(y^2+xy+y=x^3+1075x-13192\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 76.12.0.?, $\ldots$ |
$[(1299/5, 50258/5)]$ |
50094.br4 |
50094cg1 |
50094.br |
50094cg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$6072$ |
$48$ |
$0$ |
$2.091162460$ |
$1$ |
|
$3$ |
$92160$ |
$1.110121$ |
$2924207/3312$ |
$0.89878$ |
$3.31443$ |
$[1, -1, 1, 3244, 68775]$ |
\(y^2+xy+y=x^3-x^2+3244x+68775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(29, 417)]$ |
54096.k4 |
54096by1 |
54096.k |
54096by |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 7^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$3.411302425$ |
$1$ |
|
$15$ |
$73728$ |
$1.027969$ |
$2924207/3312$ |
$0.89878$ |
$3.20060$ |
$[0, -1, 0, 2336, 41728]$ |
\(y^2=x^3-x^2+2336x+41728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.1, 46.6.0.a.1, $\ldots$ |
$[(16, 288), (33, 392)]$ |
69966.bd4 |
69966bf1 |
69966.bd |
69966bf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$7176$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.193647$ |
$2924207/3312$ |
$0.89878$ |
$3.30501$ |
$[1, -1, 1, 4531, -115995]$ |
\(y^2+xy+y=x^3-x^2+4531x-115995\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
76176.bz4 |
76176ca1 |
76176.bz |
76176ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{8} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$811008$ |
$2.172066$ |
$2924207/3312$ |
$0.89878$ |
$4.32451$ |
$[0, 0, 0, 226941, -40710782]$ |
\(y^2=x^3+226941x-40710782\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.3, $\ldots$ |
$[ ]$ |
79350.bk4 |
79350y1 |
79350.bk |
79350y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$7.425801408$ |
$1$ |
|
$1$ |
$540672$ |
$1.734333$ |
$2924207/3312$ |
$0.89878$ |
$3.84325$ |
$[1, 0, 1, 39399, -2941652]$ |
\(y^2+xy+y=x^3+39399x-2941652\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.8, $\ldots$ |
$[(7508/7, 861288/7)]$ |
82800.dd4 |
82800dq1 |
82800.dd |
82800dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{8} \cdot 5^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.409039$ |
$2924207/3312$ |
$0.89878$ |
$3.48410$ |
$[0, 0, 0, 10725, 418250]$ |
\(y^2=x^3+10725x+418250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
101568.bj4 |
101568ce1 |
101568.bj |
101568ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 23^{2} \) |
\( - 2^{22} \cdot 3^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.107 |
2B |
$184$ |
$48$ |
$0$ |
$8.596955874$ |
$1$ |
|
$1$ |
$811008$ |
$1.969336$ |
$2924207/3312$ |
$0.89878$ |
$4.00557$ |
$[0, -1, 0, 100863, 12028833]$ |
\(y^2=x^3-x^2+100863x+12028833\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.4, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(-1881/7, 976128/7)]$ |
101568.di4 |
101568x1 |
101568.di |
101568x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 23^{2} \) |
\( - 2^{22} \cdot 3^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.111 |
2B |
$184$ |
$48$ |
$0$ |
$6.964083746$ |
$1$ |
|
$1$ |
$811008$ |
$1.969336$ |
$2924207/3312$ |
$0.89878$ |
$4.00557$ |
$[0, 1, 0, 100863, -12028833]$ |
\(y^2=x^3+x^2+100863x-12028833\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.2, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(98393/7, 31232160/7)]$ |
110400.cn4 |
110400v1 |
110400.cn |
110400v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.206306$ |
$2924207/3312$ |
$0.89878$ |
$3.18827$ |
$[0, -1, 0, 4767, 122337]$ |
\(y^2=x^3-x^2+4767x+122337\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 46.6.0.a.1, $\ldots$ |
$[ ]$ |
110400.hd4 |
110400hm1 |
110400.hd |
110400hm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$5.132167150$ |
$1$ |
|
$1$ |
$196608$ |
$1.206306$ |
$2924207/3312$ |
$0.89878$ |
$3.18827$ |
$[0, 1, 0, 4767, -122337]$ |
\(y^2=x^3+x^2+4767x-122337\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.2, 46.6.0.a.1, $\ldots$ |
$[(1317/2, 48825/2)]$ |
116058.o4 |
116058g1 |
116058.o |
116058g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$5336$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$200704$ |
$1.045515$ |
$2924207/3312$ |
$0.89878$ |
$3.00916$ |
$[1, 0, 1, 2505, 47434]$ |
\(y^2+xy+y=x^3+2505x+47434\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
119646.bb4 |
119646p1 |
119646.bb |
119646p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 17^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$9384$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.327780$ |
$2924207/3312$ |
$0.89878$ |
$3.29101$ |
$[1, -1, 0, 7749, -258795]$ |
\(y^2+xy=x^3-x^2+7749x-258795\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
132618.bc4 |
132618g1 |
132618.bc |
132618g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$5704$ |
$48$ |
$0$ |
$4.752545999$ |
$1$ |
|
$3$ |
$230400$ |
$1.078861$ |
$2924207/3312$ |
$0.89878$ |
$3.00905$ |
$[1, 0, 0, 2863, -57447]$ |
\(y^2+xy=x^3+2863x-57447\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(12418, 1377631)]$ |
133584.dr4 |
133584ba1 |
133584.dr |
133584ba |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 11^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2024$ |
$48$ |
$0$ |
$5.835364016$ |
$1$ |
|
$1$ |
$276480$ |
$1.253962$ |
$2924207/3312$ |
$0.89878$ |
$3.18523$ |
$[0, 1, 0, 5768, 166868]$ |
\(y^2=x^3+x^2+5768x+166868\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.1, 46.6.0.a.1, $\ldots$ |
$[(326/7, 155520/7)]$ |
149454.bs4 |
149454g1 |
149454.bs |
149454g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 19^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10488$ |
$48$ |
$0$ |
$3.100910902$ |
$1$ |
|
$3$ |
$387072$ |
$1.383392$ |
$2924207/3312$ |
$0.89878$ |
$3.28558$ |
$[1, -1, 1, 9679, 356177]$ |
\(y^2+xy+y=x^3-x^2+9679x+356177\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(117, 1696)]$ |
155526.dd4 |
155526v1 |
155526.dd |
155526v |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$4.563501508$ |
$1$ |
|
$1$ |
$1622016$ |
$1.902569$ |
$2924207/3312$ |
$0.89878$ |
$3.79578$ |
$[1, 0, 0, 77223, 8087337]$ |
\(y^2+xy=x^3+77223x+8087337\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.2, 46.6.0.a.1, $\ldots$ |
$[(55504/3, 13006849/3)]$ |
162288.fc4 |
162288ci1 |
162288.fc |
162288ci |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{8} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.577276$ |
$2924207/3312$ |
$0.89878$ |
$3.45695$ |
$[0, 0, 0, 21021, -1147678]$ |
\(y^2=x^3+21021x-1147678\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
169050.z4 |
169050ij1 |
169050.z |
169050ij |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$6440$ |
$48$ |
$0$ |
$2.753560747$ |
$1$ |
|
$5$ |
$393216$ |
$1.139542$ |
$2924207/3312$ |
$0.89878$ |
$3.00887$ |
$[1, 1, 0, 3650, -81500]$ |
\(y^2+xy=x^3+x^2+3650x-81500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(69, 676)]$ |
186576.ca4 |
186576i1 |
186576.ca |
186576i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 13^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2392$ |
$48$ |
$0$ |
$5.407975590$ |
$1$ |
|
$9$ |
$442368$ |
$1.337488$ |
$2924207/3312$ |
$0.89878$ |
$3.18013$ |
$[0, 1, 0, 8056, -269580]$ |
\(y^2=x^3+x^2+8056x-269580\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(94, 1152), (147, 2028)]$ |
188922.a4 |
188922m1 |
188922.a |
188922m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$6808$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$1.167326$ |
$2924207/3312$ |
$0.89878$ |
$3.00879$ |
$[1, 1, 0, 4079, 99781]$ |
\(y^2+xy=x^3+x^2+4079x+99781\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
216384.dk4 |
216384in1 |
216384.dk |
216384in |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{2} \cdot 7^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$10.52418758$ |
$1$ |
|
$7$ |
$589824$ |
$1.374542$ |
$2924207/3312$ |
$0.89878$ |
$3.17796$ |
$[0, -1, 0, 9343, -343167]$ |
\(y^2=x^3-x^2+9343x-343167\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 56.24.0-8.p.1.2, $\ldots$ |
$[(131, 1764), (1357/2, 51695/2)]$ |
216384.ib4 |
216384bv1 |
216384.ib |
216384bv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$7.395539198$ |
$1$ |
|
$1$ |
$589824$ |
$1.374542$ |
$2924207/3312$ |
$0.89878$ |
$3.17796$ |
$[0, 1, 0, 9343, 343167]$ |
\(y^2=x^3+x^2+9343x+343167\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 56.24.0-8.p.1.1, $\ldots$ |
$[(10497/4, 1088535/4)]$ |
231978.u4 |
231978u1 |
231978.u |
231978u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 41^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$7544$ |
$48$ |
$0$ |
$5.312839724$ |
$1$ |
|
$1$ |
$532480$ |
$1.218653$ |
$2924207/3312$ |
$0.89878$ |
$3.00864$ |
$[1, 0, 0, 5008, 133872]$ |
\(y^2+xy=x^3+5008x+133872\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(13642/3, 1574806/3)]$ |
238050.fe4 |
238050fe1 |
238050.fe |
238050fe |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4325376$ |
$2.283638$ |
$2924207/3312$ |
$0.89878$ |
$4.03464$ |
$[1, -1, 1, 354595, 79424597]$ |
\(y^2+xy+y=x^3-x^2+354595x+79424597\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
255162.n4 |
255162n1 |
255162.n |
255162n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$7912$ |
$48$ |
$0$ |
$8.053423893$ |
$1$ |
|
$1$ |
$628992$ |
$1.242468$ |
$2924207/3312$ |
$0.89878$ |
$3.00858$ |
$[1, 0, 1, 5508, -153494]$ |
\(y^2+xy+y=x^3+5508x-153494\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(3701/11, 257673/11)]$ |
304704.bj4 |
304704bj1 |
304704.bj |
304704bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 23^{2} \) |
\( - 2^{22} \cdot 3^{8} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$4.771466302$ |
$1$ |
|
$3$ |
$6488064$ |
$2.518642$ |
$2924207/3312$ |
$0.89878$ |
$4.17909$ |
$[0, 0, 0, 907764, 325686256]$ |
\(y^2=x^3+907764x+325686256\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.4, 46.6.0.a.1, $\ldots$ |
$[(9278, 898560)]$ |
304704.bk4 |
304704bk1 |
304704.bk |
304704bk |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 23^{2} \) |
\( - 2^{22} \cdot 3^{8} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6488064$ |
$2.518642$ |
$2924207/3312$ |
$0.89878$ |
$4.17909$ |
$[0, 0, 0, 907764, -325686256]$ |
\(y^2=x^3+907764x-325686256\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.2, 46.6.0.a.1, $\ldots$ |
$[ ]$ |
304842.y4 |
304842y1 |
304842.y |
304842y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 23 \cdot 47^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 23 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$8648$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$824320$ |
$1.286942$ |
$2924207/3312$ |
$0.89878$ |
$3.00846$ |
$[1, 1, 1, 6581, -198295]$ |
\(y^2+xy+y=x^3+x^2+6581x-198295\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
319056.m4 |
319056m1 |
319056.m |
319056m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 17^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{2} \cdot 17^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$3128$ |
$48$ |
$0$ |
$9.738892120$ |
$1$ |
|
$9$ |
$983040$ |
$1.471621$ |
$2924207/3312$ |
$0.89878$ |
$3.17251$ |
$[0, -1, 0, 13776, -613440]$ |
\(y^2=x^3-x^2+13776x-613440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(72, 864), (138, 1974)]$ |
331200.io4 |
331200io1 |
331200.io |
331200io |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{8} \cdot 5^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2760$ |
$48$ |
$0$ |
$7.185373715$ |
$1$ |
|
$9$ |
$1572864$ |
$1.755613$ |
$2924207/3312$ |
$0.89878$ |
$3.43130$ |
$[0, 0, 0, 42900, 3346000]$ |
\(y^2=x^3+42900x+3346000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 46.6.0.a.1, 92.12.0.?, $\ldots$ |
$[(80, 2700), (954, 30208)]$ |