| 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 |
| 141.c4 |
141c1 |
141.c |
141c |
$4$ |
$4$ |
\( 3 \cdot 47 \) |
\( - 3^{4} \cdot 47 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6$ |
$-0.627791$ |
$-912673/3807$ |
$0.87304$ |
$3.19863$ |
$[1, 0, 0, -2, 3]$ |
\(y^2+xy=x^3-2x+3\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 94.6.0.?, 188.24.0.?, $\ldots$ |
$[]$ |
| 423.d4 |
423c1 |
423.d |
423c |
$4$ |
$4$ |
\( 3^{2} \cdot 47 \) |
\( - 3^{10} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1128$ |
$48$ |
$0$ |
$1.940755047$ |
$1$ |
|
$3$ |
$48$ |
$-0.078485$ |
$-912673/3807$ |
$0.87304$ |
$3.70755$ |
$[1, -1, 0, -18, -81]$ |
\(y^2+xy=x^3-x^2-18x-81\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[(18, 63)]$ |
| 2256.g4 |
2256j1 |
2256.g |
2256j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 47 \) |
\( - 2^{12} \cdot 3^{4} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1128$ |
$48$ |
$0$ |
$1.604386698$ |
$1$ |
|
$5$ |
$384$ |
$0.065356$ |
$-912673/3807$ |
$0.87304$ |
$3.12730$ |
$[0, -1, 0, -32, -192]$ |
\(y^2=x^3-x^2-32x-192\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 94.6.0.?, 188.24.0.?, $\ldots$ |
$[(16, 56)]$ |
| 3525.j4 |
3525g1 |
3525.j |
3525g |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 47 \) |
\( - 3^{4} \cdot 5^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.176927$ |
$-912673/3807$ |
$0.87304$ |
$3.12035$ |
$[1, 1, 0, -50, 375]$ |
\(y^2+xy=x^3+x^2-50x+375\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 94.6.0.?, $\ldots$ |
$[]$ |
| 6627.c4 |
6627g1 |
6627.c |
6627g |
$4$ |
$4$ |
\( 3 \cdot 47^{2} \) |
\( - 3^{4} \cdot 47^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1128$ |
$48$ |
$0$ |
$9.613669742$ |
$1$ |
|
$3$ |
$13248$ |
$1.297281$ |
$-912673/3807$ |
$0.87304$ |
$4.42443$ |
$[1, 0, 0, -4464, -329265]$ |
\(y^2+xy=x^3-4464x-329265\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 94.6.0.?, 188.24.0.?, $\ldots$ |
$[(25653/13, 3304491/13)]$ |
| 6768.f4 |
6768p1 |
6768.f |
6768p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{10} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1128$ |
$48$ |
$0$ |
$0.825228505$ |
$1$ |
|
$9$ |
$3072$ |
$0.614662$ |
$-912673/3807$ |
$0.87304$ |
$3.48513$ |
$[0, 0, 0, -291, 5474]$ |
\(y^2=x^3-291x+5474\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[(1, 72)]$ |
| 6909.b4 |
6909d1 |
6909.b |
6909d |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 47 \) |
\( - 3^{4} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$1.382354661$ |
$1$ |
|
$7$ |
$2304$ |
$0.345163$ |
$-912673/3807$ |
$0.87304$ |
$3.11119$ |
$[1, 1, 1, -99, -1128]$ |
\(y^2+xy+y=x^3+x^2-99x-1128\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 28.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(20, 63)]$ |
| 9024.d4 |
9024e1 |
9024.d |
9024e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 47 \) |
\( - 2^{18} \cdot 3^{4} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1128$ |
$48$ |
$0$ |
$1.088144399$ |
$1$ |
|
$5$ |
$3072$ |
$0.411929$ |
$-912673/3807$ |
$0.87304$ |
$3.10793$ |
$[0, -1, 0, -129, 1665]$ |
\(y^2=x^3-x^2-129x+1665\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 94.6.0.?, $\ldots$ |
$[(3, 36)]$ |
| 9024.bd4 |
9024bu1 |
9024.bd |
9024bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 47 \) |
\( - 2^{18} \cdot 3^{4} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.411929$ |
$-912673/3807$ |
$0.87304$ |
$3.10793$ |
$[0, 1, 0, -129, -1665]$ |
\(y^2=x^3+x^2-129x-1665\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 94.6.0.?, $\ldots$ |
$[]$ |
| 10575.j4 |
10575h1 |
10575.j |
10575h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 47 \) |
\( - 3^{10} \cdot 5^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.726233$ |
$-912673/3807$ |
$0.87304$ |
$3.46176$ |
$[1, -1, 1, -455, -10578]$ |
\(y^2+xy+y=x^3-x^2-455x-10578\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 17061.d4 |
17061c1 |
17061.d |
17061c |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 47 \) |
\( - 3^{4} \cdot 11^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12408$ |
$48$ |
$0$ |
$7.471277238$ |
$1$ |
|
$1$ |
$7680$ |
$0.571156$ |
$-912673/3807$ |
$0.87304$ |
$3.10087$ |
$[1, 0, 1, -245, -4237]$ |
\(y^2+xy+y=x^3-245x-4237\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(44007/2, 9187805/2)]$ |
| 19881.l4 |
19881k1 |
19881.l |
19881k |
$4$ |
$4$ |
\( 3^{2} \cdot 47^{2} \) |
\( - 3^{10} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$1128$ |
$48$ |
$0$ |
$11.37755844$ |
$1$ |
|
$1$ |
$105984$ |
$1.846588$ |
$-912673/3807$ |
$0.87304$ |
$4.59931$ |
$[1, -1, 0, -40176, 8890155]$ |
\(y^2+xy=x^3-x^2-40176x+8890155\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$ |
$[(199902/23, 81611655/23)]$ |
| 20727.o4 |
20727k1 |
20727.o |
20727k |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 47 \) |
\( - 3^{10} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$2.013689982$ |
$1$ |
|
$3$ |
$18432$ |
$0.894469$ |
$-912673/3807$ |
$0.87304$ |
$3.43050$ |
$[1, -1, 0, -891, 29560]$ |
\(y^2+xy=x^3-x^2-891x+29560\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$ |
$[(-12, 202)]$ |
| 23829.j4 |
23829k1 |
23829.j |
23829k |
$4$ |
$4$ |
\( 3 \cdot 13^{2} \cdot 47 \) |
\( - 3^{4} \cdot 13^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14664$ |
$48$ |
$0$ |
$2.714860956$ |
$1$ |
|
$3$ |
$13824$ |
$0.654683$ |
$-912673/3807$ |
$0.87304$ |
$3.09753$ |
$[1, 0, 1, -342, 6931]$ |
\(y^2+xy+y=x^3-342x+6931\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 52.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(-13, 102)]$ |
| 27072.cf4 |
27072ce1 |
27072.cf |
27072ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 47 \) |
\( - 2^{18} \cdot 3^{10} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1128$ |
$48$ |
$0$ |
$1.925858574$ |
$1$ |
|
$5$ |
$24576$ |
$0.961235$ |
$-912673/3807$ |
$0.87304$ |
$3.41923$ |
$[0, 0, 0, -1164, 43792]$ |
\(y^2=x^3-1164x+43792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 94.6.0.?, $\ldots$ |
$[(-19, 243)]$ |
| 27072.ci4 |
27072bd1 |
27072.ci |
27072bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 47 \) |
\( - 2^{18} \cdot 3^{10} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1128$ |
$48$ |
$0$ |
$4.634137792$ |
$1$ |
|
$3$ |
$24576$ |
$0.961235$ |
$-912673/3807$ |
$0.87304$ |
$3.41923$ |
$[0, 0, 0, -1164, -43792]$ |
\(y^2=x^3-1164x-43792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 94.6.0.?, $\ldots$ |
$[(2446, 120960)]$ |
| 40749.b4 |
40749d1 |
40749.b |
40749d |
$4$ |
$4$ |
\( 3 \cdot 17^{2} \cdot 47 \) |
\( - 3^{4} \cdot 17^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19176$ |
$48$ |
$0$ |
$0.962924065$ |
$1$ |
|
$7$ |
$30720$ |
$0.788815$ |
$-912673/3807$ |
$0.87304$ |
$3.09260$ |
$[1, 1, 1, -584, 15320]$ |
\(y^2+xy+y=x^3+x^2-584x+15320\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 68.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(-16, 152)]$ |
| 50901.h4 |
50901b1 |
50901.h |
50901b |
$4$ |
$4$ |
\( 3 \cdot 19^{2} \cdot 47 \) |
\( - 3^{4} \cdot 19^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$21432$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$43200$ |
$0.844428$ |
$-912673/3807$ |
$0.87304$ |
$3.09070$ |
$[1, 1, 0, -729, -22032]$ |
\(y^2+xy=x^3+x^2-729x-22032\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 76.12.0.?, 94.6.0.?, $\ldots$ |
$[]$ |
| 51183.c4 |
51183i1 |
51183.c |
51183i |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 47 \) |
\( - 3^{10} \cdot 11^{6} \cdot 47 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12408$ |
$48$ |
$0$ |
$4.399495106$ |
$1$ |
|
$13$ |
$61440$ |
$1.120462$ |
$-912673/3807$ |
$0.87304$ |
$3.39461$ |
$[1, -1, 1, -2201, 114392]$ |
\(y^2+xy+y=x^3-x^2-2201x+114392\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 88.12.0.?, 94.6.0.?, $\ldots$ |
$[(18, 274), (45, 301)]$ |
| 56400.cr4 |
56400ck1 |
56400.cr |
56400ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$2.216272860$ |
$1$ |
|
$5$ |
$49152$ |
$0.870074$ |
$-912673/3807$ |
$0.87304$ |
$3.08985$ |
$[0, 1, 0, -808, -25612]$ |
\(y^2=x^3+x^2-808x-25612\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 94.6.0.?, $\ldots$ |
$[(62, 408)]$ |
| 71487.h4 |
71487j1 |
71487.h |
71487j |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 47 \) |
\( - 3^{10} \cdot 13^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14664$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$110592$ |
$1.203989$ |
$-912673/3807$ |
$0.87304$ |
$3.38281$ |
$[1, -1, 1, -3074, -187144]$ |
\(y^2+xy+y=x^3-x^2-3074x-187144\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
| 74589.f4 |
74589j1 |
74589.f |
74589j |
$4$ |
$4$ |
\( 3 \cdot 23^{2} \cdot 47 \) |
\( - 3^{4} \cdot 23^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25944$ |
$48$ |
$0$ |
$3.451871783$ |
$1$ |
|
$5$ |
$76032$ |
$0.939956$ |
$-912673/3807$ |
$0.87304$ |
$3.08761$ |
$[1, 0, 0, -1069, -38632]$ |
\(y^2+xy=x^3-1069x-38632\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 92.12.0.?, 94.6.0.?, $\ldots$ |
$[(47, 101)]$ |
| 106032.e4 |
106032u1 |
106032.e |
106032u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1128$ |
$48$ |
$0$ |
$4.726783130$ |
$1$ |
|
$3$ |
$847872$ |
$1.990429$ |
$-912673/3807$ |
$0.87304$ |
$4.08313$ |
$[0, -1, 0, -71424, 21072960]$ |
\(y^2=x^3-x^2-71424x+21072960\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 94.6.0.?, 188.24.0.?, $\ldots$ |
$[(522, 11214)]$ |
| 110544.co4 |
110544ds1 |
110544.co |
110544ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{6} \cdot 47 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$1.068980633$ |
$1$ |
|
$21$ |
$147456$ |
$1.038311$ |
$-912673/3807$ |
$0.87304$ |
$3.08464$ |
$[0, 1, 0, -1584, 69012]$ |
\(y^2=x^3+x^2-1584x+69012\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 28.12.0-4.c.1.1, 94.6.0.?, $\ldots$ |
$[(-12, 294), (-33, 294)]$ |
| 118581.c4 |
118581b1 |
118581.c |
118581b |
$4$ |
$4$ |
\( 3 \cdot 29^{2} \cdot 47 \) |
\( - 3^{4} \cdot 29^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$32712$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$145152$ |
$1.055857$ |
$-912673/3807$ |
$0.87304$ |
$3.08413$ |
$[1, 1, 0, -1699, 76552]$ |
\(y^2+xy=x^3+x^2-1699x+76552\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
| 122247.q4 |
122247q1 |
122247.q |
122247q |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \cdot 47 \) |
\( - 3^{10} \cdot 17^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19176$ |
$48$ |
$0$ |
$9.913263532$ |
$1$ |
|
$1$ |
$245760$ |
$1.338121$ |
$-912673/3807$ |
$0.87304$ |
$3.36528$ |
$[1, -1, 0, -5256, -418901]$ |
\(y^2+xy=x^3-x^2-5256x-418901\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 136.12.0.?, $\ldots$ |
$[(3088766/5, 5420731549/5)]$ |
| 135501.c4 |
135501e1 |
135501.c |
135501e |
$4$ |
$4$ |
\( 3 \cdot 31^{2} \cdot 47 \) |
\( - 3^{4} \cdot 31^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34968$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$181440$ |
$1.089203$ |
$-912673/3807$ |
$0.87304$ |
$3.08318$ |
$[1, 1, 1, -1942, -95182]$ |
\(y^2+xy+y=x^3+x^2-1942x-95182\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
| 152703.f4 |
152703f1 |
152703.f |
152703f |
$4$ |
$4$ |
\( 3^{2} \cdot 19^{2} \cdot 47 \) |
\( - 3^{10} \cdot 19^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$21432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$345600$ |
$1.393734$ |
$-912673/3807$ |
$0.87304$ |
$3.35847$ |
$[1, -1, 1, -6566, 588300]$ |
\(y^2+xy+y=x^3-x^2-6566x+588300\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 152.12.0.?, $\ldots$ |
$[]$ |
| 165675.s4 |
165675z1 |
165675.s |
165675z |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 47^{2} \) |
\( - 3^{4} \cdot 5^{6} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1695744$ |
$2.102001$ |
$-912673/3807$ |
$0.87304$ |
$4.04290$ |
$[1, 1, 0, -111600, -41158125]$ |
\(y^2+xy=x^3+x^2-111600x-41158125\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 94.6.0.?, $\ldots$ |
$[]$ |
| 169200.dz4 |
169200cu1 |
169200.dz |
169200cu |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.419380$ |
$-912673/3807$ |
$0.87304$ |
$3.35542$ |
$[0, 0, 0, -7275, 684250]$ |
\(y^2=x^3-7275x+684250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 172725.bq4 |
172725bj1 |
172725.bq |
172725bj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 47 \) |
\( - 3^{4} \cdot 5^{6} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$39480$ |
$48$ |
$0$ |
$4.668847434$ |
$1$ |
|
$3$ |
$294912$ |
$1.149883$ |
$-912673/3807$ |
$0.87304$ |
$3.08151$ |
$[1, 0, 1, -2476, -136027]$ |
\(y^2+xy+y=x^3-2476x-136027\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 140.12.0.?, $\ldots$ |
$[(8467, 774866)]$ |
| 193029.h4 |
193029f1 |
193029.h |
193029f |
$4$ |
$4$ |
\( 3 \cdot 37^{2} \cdot 47 \) |
\( - 3^{4} \cdot 37^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41736$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$290304$ |
$1.177668$ |
$-912673/3807$ |
$0.87304$ |
$3.08076$ |
$[1, 0, 1, -2767, 160229]$ |
\(y^2+xy+y=x^3-2767x+160229\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 148.12.0.?, $\ldots$ |
$[]$ |
| 223767.k4 |
223767k1 |
223767.k |
223767k |
$4$ |
$4$ |
\( 3^{2} \cdot 23^{2} \cdot 47 \) |
\( - 3^{10} \cdot 23^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25944$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$608256$ |
$1.489262$ |
$-912673/3807$ |
$0.87304$ |
$3.34735$ |
$[1, -1, 0, -9621, 1043064]$ |
\(y^2+xy=x^3-x^2-9621x+1043064\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 225600.cn4 |
225600ed1 |
225600.cn |
225600ed |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.216648$ |
$-912673/3807$ |
$0.87304$ |
$3.07974$ |
$[0, -1, 0, -3233, -201663]$ |
\(y^2=x^3-x^2-3233x-201663\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.1, 94.6.0.?, $\ldots$ |
$[]$ |
| 225600.gq4 |
225600fu1 |
225600.gq |
225600fu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5640$ |
$48$ |
$0$ |
$1.576466490$ |
$1$ |
|
$5$ |
$393216$ |
$1.216648$ |
$-912673/3807$ |
$0.87304$ |
$3.07974$ |
$[0, 1, 0, -3233, 201663]$ |
\(y^2=x^3+x^2-3233x+201663\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(19, 384)]$ |
| 237021.f4 |
237021f1 |
237021.f |
237021f |
$4$ |
$4$ |
\( 3 \cdot 41^{2} \cdot 47 \) |
\( - 3^{4} \cdot 41^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$46248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$422400$ |
$1.228994$ |
$-912673/3807$ |
$0.87304$ |
$3.07942$ |
$[1, 1, 1, -3397, 216914]$ |
\(y^2+xy+y=x^3+x^2-3397x+216914\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
| 260709.f4 |
260709f1 |
260709.f |
260709f |
$4$ |
$4$ |
\( 3 \cdot 43^{2} \cdot 47 \) |
\( - 3^{4} \cdot 43^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$48504$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$471744$ |
$1.252808$ |
$-912673/3807$ |
$0.87304$ |
$3.07882$ |
$[1, 1, 0, -3736, -253421]$ |
\(y^2+xy=x^3+x^2-3736x-253421\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 272976.y4 |
272976y1 |
272976.y |
272976y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{4} \cdot 11^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.264303$ |
$-912673/3807$ |
$0.87304$ |
$3.07853$ |
$[0, -1, 0, -3912, 271152]$ |
\(y^2=x^3-x^2-3912x+271152\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.1, 94.6.0.?, $\ldots$ |
$[]$ |
| 318096.bs4 |
318096bs1 |
318096.bs |
318096bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{10} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6782976$ |
$2.539734$ |
$-912673/3807$ |
$0.87304$ |
$4.24934$ |
$[0, 0, 0, -642819, -568327102]$ |
\(y^2=x^3-642819x-568327102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$ |
$[]$ |
| 324723.f4 |
324723f1 |
324723.f |
324723f |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 47^{2} \) |
\( - 3^{4} \cdot 7^{6} \cdot 47^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$3.611762618$ |
$1$ |
|
$3$ |
$5087232$ |
$2.270237$ |
$-912673/3807$ |
$0.87304$ |
$3.98760$ |
$[1, 1, 1, -218737, 112719158]$ |
\(y^2+xy+y=x^3+x^2-218737x+112719158\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 28.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(-64, 11277)]$ |
| 331632.fq4 |
331632fq1 |
331632.fq |
331632fq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{10} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$3.606308825$ |
$1$ |
|
$3$ |
$1179648$ |
$1.587616$ |
$-912673/3807$ |
$0.87304$ |
$3.33660$ |
$[0, 0, 0, -14259, -1877582]$ |
\(y^2=x^3-14259x-1877582\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.5, 84.12.0.?, $\ldots$ |
$[(686, 17640)]$ |
| 355743.c4 |
355743c1 |
355743.c |
355743c |
$4$ |
$4$ |
\( 3^{2} \cdot 29^{2} \cdot 47 \) |
\( - 3^{10} \cdot 29^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$32712$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1161216$ |
$1.605162$ |
$-912673/3807$ |
$0.87304$ |
$3.33475$ |
$[1, -1, 1, -15296, -2082198]$ |
\(y^2+xy+y=x^3-x^2-15296x-2082198\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 188.12.0.?, $\ldots$ |
$[]$ |
| 381264.g4 |
381264g1 |
381264.g |
381264g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{4} \cdot 13^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14664$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$1.347830$ |
$-912673/3807$ |
$0.87304$ |
$3.07649$ |
$[0, -1, 0, -5464, -443600]$ |
\(y^2=x^3-x^2-5464x-443600\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 52.12.0-4.c.1.1, 94.6.0.?, $\ldots$ |
$[]$ |
| 396069.c4 |
396069c1 |
396069.c |
396069c |
$4$ |
$4$ |
\( 3 \cdot 47 \cdot 53^{2} \) |
\( - 3^{4} \cdot 47 \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$59784$ |
$48$ |
$0$ |
$5.015205587$ |
$1$ |
|
$1$ |
$908544$ |
$1.357355$ |
$-912673/3807$ |
$0.87304$ |
$3.07626$ |
$[1, 1, 0, -5676, 469251]$ |
\(y^2+xy=x^3+x^2-5676x+469251\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 188.12.0.?, $\ldots$ |
$[(7325/4, 606139/4)]$ |
| 406503.k4 |
406503k1 |
406503.k |
406503k |
$4$ |
$4$ |
\( 3^{2} \cdot 31^{2} \cdot 47 \) |
\( - 3^{10} \cdot 31^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$34968$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1451520$ |
$1.638508$ |
$-912673/3807$ |
$0.87304$ |
$3.33130$ |
$[1, -1, 0, -17478, 2552431]$ |
\(y^2+xy=x^3-x^2-17478x+2552431\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 188.12.0.?, $\ldots$ |
$[]$ |
| 424128.bx4 |
424128bx1 |
424128.bx |
424128bx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 47^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6782976$ |
$2.337002$ |
$-912673/3807$ |
$0.87304$ |
$3.96725$ |
$[0, -1, 0, -285697, -168297983]$ |
\(y^2=x^3-x^2-285697x-168297983\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.3, 94.6.0.?, $\ldots$ |
$[]$ |
| 424128.ee4 |
424128ee1 |
424128.ee |
424128ee |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 47^{2} \) |
\( - 2^{18} \cdot 3^{4} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6782976$ |
$2.337002$ |
$-912673/3807$ |
$0.87304$ |
$3.96725$ |
$[0, 1, 0, -285697, 168297983]$ |
\(y^2=x^3+x^2-285697x+168297983\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.11, 94.6.0.?, $\ldots$ |
$[]$ |
| 426525.n4 |
426525n1 |
426525.n |
426525n |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 47 \) |
\( - 3^{4} \cdot 5^{6} \cdot 11^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$62040$ |
$48$ |
$0$ |
$8.691355344$ |
$1$ |
|
$1$ |
$983040$ |
$1.375875$ |
$-912673/3807$ |
$0.87304$ |
$3.07583$ |
$[1, 1, 1, -6113, -529594]$ |
\(y^2+xy+y=x^3+x^2-6113x-529594\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 94.6.0.?, 188.12.0.?, $\ldots$ |
$[(64954/3, 16457231/3)]$ |
| 442176.er4 |
442176er1 |
442176.er |
442176er |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 47 \) |
\( - 2^{18} \cdot 3^{4} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$2.242946132$ |
$1$ |
|
$5$ |
$1179648$ |
$1.384884$ |
$-912673/3807$ |
$0.87304$ |
$3.07562$ |
$[0, -1, 0, -6337, 558433]$ |
\(y^2=x^3-x^2-6337x+558433\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.2, 94.6.0.?, $\ldots$ |
$[(-9, 784)]$ |
| 442176.jj4 |
442176jj1 |
442176.jj |
442176jj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 47 \) |
\( - 2^{18} \cdot 3^{4} \cdot 7^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7896$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.384884$ |
$-912673/3807$ |
$0.87304$ |
$3.07562$ |
$[0, 1, 0, -6337, -558433]$ |
\(y^2=x^3+x^2-6337x-558433\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.1, 94.6.0.?, $\ldots$ |
$[]$ |
