| 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 |
| 1785.a1 |
1785c3 |
1785.a |
1785c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$1.146379$ |
$25351269426118370449/27551475$ |
$0.98384$ |
$5.96745$ |
$[1, 1, 1, -61201, -5853052]$ |
\(y^2+xy+y=x^3+x^2-61201x-5853052\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 1785.a2 |
1785c4 |
1785.a |
1785c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{8} \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$1.146379$ |
$12010404962647729/6166198828125$ |
$0.97579$ |
$4.94506$ |
$[1, 1, 1, -4771, -44596]$ |
\(y^2+xy+y=x^3+x^2-4771x-44596\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
| 1785.a3 |
1785c2 |
1785.a |
1785c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1536$ |
$0.799807$ |
$6193921595708449/6452105625$ |
$0.94493$ |
$4.85662$ |
$[1, 1, 1, -3826, -92602]$ |
\(y^2+xy+y=x^3+x^2-3826x-92602\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 1785.a4 |
1785c1 |
1785.a |
1785c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.453233$ |
$-656008386769/1581036975$ |
$0.91083$ |
$3.85343$ |
$[1, 1, 1, -181, -2206]$ |
\(y^2+xy+y=x^3+x^2-181x-2206\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 1785.b1 |
1785h3 |
1785.b |
1785h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 7^{4} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1536$ |
$0.713648$ |
$115650783909361/27072079335$ |
$0.92769$ |
$4.32494$ |
$[1, 1, 1, -1015, 9182]$ |
\(y^2+xy+y=x^3+x^2-1015x+9182\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 952.24.0.?, 14280.48.0.? |
$[]$ |
| 1785.b2 |
1785h2 |
1785.b |
1785h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$768$ |
$0.367074$ |
$4347507044161/258084225$ |
$0.89881$ |
$3.88673$ |
$[1, 1, 1, -340, -2428]$ |
\(y^2+xy+y=x^3+x^2-340x-2428\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 476.24.0.?, 7140.48.0.? |
$[]$ |
| 1785.b3 |
1785h1 |
1785.b |
1785h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$384$ |
$0.020501$ |
$4158523459441/16065$ |
$0.89697$ |
$3.88079$ |
$[1, 1, 1, -335, -2500]$ |
\(y^2+xy+y=x^3+x^2-335x-2500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 1785.b4 |
1785h4 |
1785.b |
1785h |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5^{4} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.713648$ |
$1833318007919/39525924375$ |
$0.95071$ |
$4.25097$ |
$[1, 1, 1, 255, -9330]$ |
\(y^2+xy+y=x^3+x^2+255x-9330\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 238.6.0.?, 476.24.0.?, $\ldots$ |
$[]$ |
| 1785.c1 |
1785k4 |
1785.c |
1785k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$4760$ |
$48$ |
$0$ |
$1.081536815$ |
$1$ |
|
$4$ |
$1024$ |
$0.495150$ |
$530044731605089/26309115$ |
$0.93057$ |
$4.52828$ |
$[1, 0, 0, -1686, 26505]$ |
\(y^2+xy=x^3-1686x+26505\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(24, -9)]$ |
| 1785.c2 |
1785k3 |
1785.c |
1785k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$4760$ |
$48$ |
$0$ |
$0.270384203$ |
$1$ |
|
$12$ |
$1024$ |
$0.495150$ |
$17032120495489/1339001685$ |
$0.90955$ |
$4.06911$ |
$[1, 0, 0, -536, -4485]$ |
\(y^2+xy=x^3-536x-4485\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$ |
$[(31, 79)]$ |
| 1785.c3 |
1785k2 |
1785.c |
1785k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$2380$ |
$48$ |
$0$ |
$0.540768407$ |
$1$ |
|
$12$ |
$512$ |
$0.148576$ |
$151334226289/28676025$ |
$1.02382$ |
$3.43825$ |
$[1, 0, 0, -111, 360]$ |
\(y^2+xy=x^3-111x+360\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 140.24.0.?, $\ldots$ |
$[(9, 6)]$ |
| 1785.c4 |
1785k1 |
1785.c |
1785k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{2} \cdot 5^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$4760$ |
$48$ |
$0$ |
$1.081536815$ |
$1$ |
|
$5$ |
$256$ |
$-0.197997$ |
$302111711/669375$ |
$0.83568$ |
$2.74685$ |
$[1, 0, 0, 14, 35]$ |
\(y^2+xy=x^3+14x+35\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 68.12.0-4.c.1.2, $\ldots$ |
$[(-1, 5)]$ |
| 1785.d1 |
1785m5 |
1785.d |
1785m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3 \cdot 5 \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.55 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4096$ |
$1.121250$ |
$1375634265228629281/24990412335$ |
$1.04808$ |
$5.57827$ |
$[1, 0, 0, -23170, -1359403]$ |
\(y^2+xy=x^3-23170x-1359403\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 60.24.0-60.h.1.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 1785.d2 |
1785m4 |
1785.d |
1785m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5^{8} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.45 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2048$ |
$0.774677$ |
$20751759537944401/418359375$ |
$0.95142$ |
$5.01810$ |
$[1, 0, 0, -5725, 166250]$ |
\(y^2+xy=x^3-5725x+166250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 168.48.0.?, 240.48.0.?, $\ldots$ |
$[]$ |
| 1785.d3 |
1785m3 |
1785.d |
1785m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.6 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2048$ |
$0.774677$ |
$369543396484081/45120132225$ |
$1.10652$ |
$4.48010$ |
$[1, 0, 0, -1495, -19888]$ |
\(y^2+xy=x^3-1495x-19888\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 60.48.0-60.c.1.2, 168.48.0.?, 280.48.0.?, $\ldots$ |
$[]$ |
| 1785.d4 |
1785m2 |
1785.d |
1785m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.24.0.5 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$1024$ |
$0.428103$ |
$5602762882081/716900625$ |
$0.98003$ |
$3.92061$ |
$[1, 0, 0, -370, 2387]$ |
\(y^2+xy=x^3-370x+2387\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 120.48.0.?, 168.48.0.?, 280.48.0.?, $\ldots$ |
$[]$ |
| 1785.d5 |
1785m1 |
1785.d |
1785m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.45 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.081530$ |
$4733169839/19518975$ |
$0.87668$ |
$3.21756$ |
$[1, 0, 0, 35, 200]$ |
\(y^2+xy=x^3+35x+200\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 238.6.0.?, 240.48.0.?, $\ldots$ |
$[]$ |
| 1785.d6 |
1785m6 |
1785.d |
1785m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3 \cdot 5 \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.55 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4096$ |
$1.121250$ |
$1145725929069119/5127181719135$ |
$0.96557$ |
$4.88593$ |
$[1, 0, 0, 2180, -101473]$ |
\(y^2+xy=x^3+2180x-101473\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 30.6.0.a.1, 60.24.0-60.g.1.1, $\ldots$ |
$[]$ |
| 1785.e1 |
1785o5 |
1785.e |
1785o |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.177 |
2B |
$5712$ |
$192$ |
$1$ |
$1.011825735$ |
$1$ |
|
$2$ |
$8192$ |
$1.561209$ |
$40832710302042509761/91556816413125$ |
$1.06564$ |
$6.03112$ |
$[1, 0, 0, -71740, -7387525]$ |
\(y^2+xy=x^3-71740x-7387525\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 42.6.0.a.1, 84.24.0.?, $\ldots$ |
$[(490, 8425)]$ |
| 1785.e2 |
1785o3 |
1785.e |
1785o |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.34 |
2Cs |
$2856$ |
$192$ |
$1$ |
$0.505912867$ |
$1$ |
|
$12$ |
$4096$ |
$1.214636$ |
$25288177725059761/14387797265625$ |
$1.10504$ |
$5.04451$ |
$[1, 0, 0, -6115, -24400]$ |
\(y^2+xy=x^3-6115x-24400\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 84.48.0.?, 136.96.0.?, $\ldots$ |
$[(-55, 410)]$ |
| 1785.e3 |
1785o2 |
1785.e |
1785o |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.24 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1.011825735$ |
$1$ |
|
$18$ |
$2048$ |
$0.868061$ |
$6610905152742241/35128130625$ |
$0.94538$ |
$4.86532$ |
$[1, 0, 0, -3910, 93347]$ |
\(y^2+xy=x^3-3910x+93347\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 68.48.0-68.c.1.1, 136.96.0.?, $\ldots$ |
$[(29, 53)]$ |
| 1785.e4 |
1785o1 |
1785.e |
1785o |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.27 |
2B |
$5712$ |
$192$ |
$1$ |
$2.023651471$ |
$1$ |
|
$7$ |
$1024$ |
$0.521488$ |
$6585576176607121/187425$ |
$0.94525$ |
$4.86481$ |
$[1, 0, 0, -3905, 93600]$ |
\(y^2+xy=x^3-3905x+93600\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.1.2, 34.6.0.a.1, $\ldots$ |
$[(45, 75)]$ |
| 1785.e5 |
1785o4 |
1785.e |
1785o |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$5712$ |
$192$ |
$1$ |
$2.023651471$ |
$1$ |
|
$14$ |
$4096$ |
$1.214636$ |
$-629004249876241/16074715228425$ |
$0.98451$ |
$5.06004$ |
$[1, 0, 0, -1785, 194922]$ |
\(y^2+xy=x^3-1785x+194922\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 68.24.0-68.h.1.2, 136.96.0.?, $\ldots$ |
$[(63, 546)]$ |
| 1785.e6 |
1785o6 |
1785.e |
1785o |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3 \cdot 5^{16} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.48 |
2B |
$5712$ |
$192$ |
$1$ |
$1.011825735$ |
$1$ |
|
$2$ |
$8192$ |
$1.561209$ |
$1573196002879828319/926055908203125$ |
$1.02075$ |
$5.59619$ |
$[1, 0, 0, 24230, -188263]$ |
\(y^2+xy=x^3+24230x-188263\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.2.5, 84.24.0.?, $\ldots$ |
$[(64, 1243)]$ |
| 1785.f1 |
1785d1 |
1785.f |
1785d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{3} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.271428571$ |
$1$ |
|
$6$ |
$42000$ |
$2.522869$ |
$-11926249134908509075308544/2246680441062421875$ |
$1.05575$ |
$7.71200$ |
$[0, -1, 1, -4759851, 3999274382]$ |
\(y^2+y=x^3-x^2-4759851x+3999274382\) |
1190.2.0.? |
$[(1488, 14458)]$ |
| 1785.g1 |
1785f1 |
1785.g |
1785f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{2} \cdot 5^{5} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.094801117$ |
$1$ |
|
$8$ |
$240$ |
$-0.047669$ |
$-4878401536/3346875$ |
$0.87578$ |
$3.08393$ |
$[0, -1, 1, -35, 131]$ |
\(y^2+y=x^3-x^2-35x+131\) |
1190.2.0.? |
$[(5, 7)]$ |
| 1785.h1 |
1785l2 |
1785.h |
1785l |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1584$ |
$0.811900$ |
$-209906535145406464/6559875$ |
$1.03595$ |
$5.32717$ |
$[0, 1, 1, -12381, -534400]$ |
\(y^2+y=x^3+x^2-12381x-534400\) |
3.8.0-3.a.1.1, 1190.2.0.?, 3570.16.0.? |
$[]$ |
| 1785.h2 |
1785l1 |
1785.h |
1785l |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$528$ |
$0.262594$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.60536$ |
$[0, 1, 1, -141, -889]$ |
\(y^2+y=x^3+x^2-141x-889\) |
3.8.0-3.a.1.2, 1190.2.0.?, 3570.16.0.? |
$[]$ |
| 1785.i1 |
1785a2 |
1785.i |
1785a |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.570949$ |
$23711636464489/4590075735$ |
$0.91546$ |
$4.11330$ |
$[1, 1, 0, -598, -4847]$ |
\(y^2+xy=x^3+x^2-598x-4847\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
| 1785.i2 |
1785a1 |
1785.i |
1785a |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5^{2} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.224375$ |
$49471280711/106269975$ |
$0.88824$ |
$3.42216$ |
$[1, 1, 0, 77, -392]$ |
\(y^2+xy=x^3+x^2+77x-392\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
| 1785.j1 |
1785b3 |
1785.j |
1785b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1536$ |
$0.671836$ |
$3585019225176649/316207395$ |
$0.94186$ |
$4.78359$ |
$[1, 1, 0, -3188, -70623]$ |
\(y^2+xy=x^3+x^2-3188x-70623\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[]$ |
| 1785.j2 |
1785b4 |
1785.j |
1785b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{4} \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.671836$ |
$171963096231529/9865918125$ |
$0.92481$ |
$4.37793$ |
$[1, 1, 0, -1158, 13923]$ |
\(y^2+xy=x^3+x^2-1158x+13923\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
| 1785.j3 |
1785b2 |
1785.j |
1785b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$768$ |
$0.325263$ |
$1076575468249/258084225$ |
$0.89370$ |
$3.70030$ |
$[1, 1, 0, -213, -1008]$ |
\(y^2+xy=x^3+x^2-213x-1008\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 340.12.0.?, $\ldots$ |
$[]$ |
| 1785.j4 |
1785b1 |
1785.j |
1785b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{3} \cdot 5 \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.021311$ |
$3449795831/5510295$ |
$0.85849$ |
$3.00874$ |
$[1, 1, 0, 32, -77]$ |
\(y^2+xy=x^3+x^2+32x-77\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
| 1785.k1 |
1785e2 |
1785.k |
1785e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$-0.122431$ |
$51520374361/212415$ |
$1.00183$ |
$3.29433$ |
$[1, 1, 0, -77, -294]$ |
\(y^2+xy=x^3+x^2-77x-294\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
| 1785.k2 |
1785e1 |
1785.k |
1785e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$128$ |
$-0.469005$ |
$-1771561/26775$ |
$0.91070$ |
$2.36238$ |
$[1, 1, 0, -2, -9]$ |
\(y^2+xy=x^3+x^2-2x-9\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
| 1785.l1 |
1785g3 |
1785.l |
1785g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3 \cdot 5^{4} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$512$ |
$0.294160$ |
$2912566550041/76531875$ |
$0.89481$ |
$3.83323$ |
$[1, 1, 0, -297, 1806]$ |
\(y^2+xy=x^3+x^2-297x+1806\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 204.24.0.?, 280.24.0.?, 14280.48.0.? |
$[]$ |
| 1785.l2 |
1785g2 |
1785.l |
1785g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$256$ |
$-0.052414$ |
$8502154921/3186225$ |
$0.85593$ |
$3.05370$ |
$[1, 1, 0, -42, -81]$ |
\(y^2+xy=x^3+x^2-42x-81\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 204.24.0.?, 7140.48.0.? |
$[]$ |
| 1785.l3 |
1785g1 |
1785.l |
1785g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$128$ |
$-0.398987$ |
$5841725401/1785$ |
$0.83537$ |
$3.00358$ |
$[1, 1, 0, -37, -104]$ |
\(y^2+xy=x^3+x^2-37x-104\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 1785.l4 |
1785g4 |
1785.l |
1785g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{4} \cdot 5 \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$512$ |
$0.294160$ |
$257138126279/236782035$ |
$0.89688$ |
$3.50905$ |
$[1, 1, 0, 133, -396]$ |
\(y^2+xy=x^3+x^2+133x-396\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 1785.m1 |
1785i3 |
1785.m |
1785i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5 \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$1.050209$ |
$1214661886599131209/2213451765$ |
$0.97108$ |
$5.56164$ |
$[1, 0, 1, -22229, -1277449]$ |
\(y^2+xy+y=x^3-22229x-1277449\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 1785.m2 |
1785i4 |
1785.m |
1785i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{4} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$1.050209$ |
$5595100866606889/1653777286875$ |
$0.95322$ |
$4.84304$ |
$[1, 0, 1, -3699, 60247]$ |
\(y^2+xy+y=x^3-3699x+60247\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 1785.m3 |
1785i2 |
1785.m |
1785i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1536$ |
$0.703635$ |
$305759741604409/12646127025$ |
$0.92809$ |
$4.45479$ |
$[1, 0, 1, -1404, -19619]$ |
\(y^2+xy+y=x^3-1404x-19619\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 68.12.0-2.a.1.1, $\ldots$ |
$[]$ |
| 1785.m4 |
1785i1 |
1785.m |
1785i |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{3} \cdot 5 \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.357061$ |
$7892485271/552491415$ |
$0.93302$ |
$3.68315$ |
$[1, 0, 1, 41, -1123]$ |
\(y^2+xy+y=x^3+41x-1123\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[]$ |
| 1785.n1 |
1785j4 |
1785.n |
1785j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3 \cdot 5^{12} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$4.254350847$ |
$1$ |
|
$0$ |
$3072$ |
$1.145145$ |
$281486573281608409/610107421875$ |
$0.96443$ |
$5.36636$ |
$[1, 0, 1, -13654, 611777]$ |
\(y^2+xy+y=x^3-13654x+611777\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 68.12.0-4.c.1.2, $\ldots$ |
$[(315/2, 983/2)]$ |
| 1785.n2 |
1785j3 |
1785.n |
1785j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1.063587711$ |
$1$ |
|
$6$ |
$3072$ |
$1.145145$ |
$180945977944161529/992266372125$ |
$0.96239$ |
$5.30734$ |
$[1, 0, 1, -11784, -490979]$ |
\(y^2+xy+y=x^3-11784x-490979\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, $\ldots$ |
$[(-61, 72)]$ |
| 1785.n3 |
1785j2 |
1785.n |
1785j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$1020$ |
$48$ |
$0$ |
$2.127175423$ |
$1$ |
|
$4$ |
$1536$ |
$0.798572$ |
$171963096231529/97578140625$ |
$0.97769$ |
$4.37793$ |
$[1, 0, 1, -1159, 2021]$ |
\(y^2+xy+y=x^3-1159x+2021\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 68.12.0-2.a.1.1, $\ldots$ |
$[(49, 227)]$ |
| 1785.n4 |
1785j1 |
1785.n |
1785j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3 \cdot 5^{3} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$4.254350847$ |
$1$ |
|
$1$ |
$768$ |
$0.451998$ |
$2600176603751/1534698375$ |
$0.95214$ |
$3.81808$ |
$[1, 0, 1, 286, 287]$ |
\(y^2+xy+y=x^3+286x+287\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[(55/3, 1192/3)]$ |
| 1785.o1 |
1785n2 |
1785.o |
1785n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$2.458202$ |
$216486375407331255135001/27004994294227023375$ |
$1.01697$ |
$7.17652$ |
$[1, 0, 1, -1250938, -477065287]$ |
\(y^2+xy+y=x^3-1250938x-477065287\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[]$ |
| 1785.o2 |
1785n1 |
1785.o |
1785n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{14} \cdot 5^{6} \cdot 7 \cdot 17^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20160$ |
$2.111626$ |
$172343644217341694999/742780064187984375$ |
$1.01380$ |
$6.47236$ |
$[1, 0, 1, 115937, -38571787]$ |
\(y^2+xy+y=x^3+115937x-38571787\) |
2.3.0.a.1, 60.6.0.b.1, 238.6.0.?, 7140.12.0.? |
$[]$ |
