| 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 |
Manin constant |
| 11094.g1 |
11094g2 |
11094.g |
11094g |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 43^{2} \) |
\( - 2 \cdot 3^{26} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$170352$ |
$1.793667$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$4.91570$ |
$[1, 1, 0, -81738, 10098270]$ |
\(y^2+xy=x^3+x^2-81738x+10098270\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.168.2.?, 4472.336.9.? |
$[ ]$ |
$1$ |
| 11094.g2 |
11094g1 |
11094.g |
11094g |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$13104$ |
$0.511193$ |
$-140246460241/73728$ |
$0.99918$ |
$3.56339$ |
$[1, 1, 0, -1328, -19200]$ |
\(y^2+xy=x^3+x^2-1328x-19200\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.168.2.?, 4472.336.9.? |
$[ ]$ |
$1$ |
| 11094.o1 |
11094q2 |
11094.o |
11094q |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 43^{2} \) |
\( - 2 \cdot 3^{26} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.56.0.3 |
13B.3.2 |
$4472$ |
$336$ |
$9$ |
$4.185008330$ |
$1$ |
|
$0$ |
$7325136$ |
$3.674267$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$7.33859$ |
$[1, 0, 0, -151134525, -805603568589]$ |
\(y^2+xy=x^3-151134525x-805603568589\) |
8.2.0.a.1, 13.56.0-13.a.2.2, 104.112.1.?, 559.168.2.?, 4472.336.9.? |
$[(8970075/22, 17588748537/22)]$ |
$1$ |
| 11094.o2 |
11094q1 |
11094.o |
11094q |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.56.0.1 |
13B.3.1 |
$4472$ |
$336$ |
$9$ |
$0.321923717$ |
$1$ |
|
$4$ |
$563472$ |
$2.391792$ |
$-140246460241/73728$ |
$0.99918$ |
$5.98628$ |
$[1, 0, 0, -2456435, 1482324321]$ |
\(y^2+xy=x^3-2456435x+1482324321\) |
8.2.0.a.1, 13.56.0-13.a.1.1, 104.112.1.?, 559.168.2.?, 4472.336.9.? |
$[(154, 33205)]$ |
$1$ |
| 20736.a1 |
20736d2 |
20736.a |
20736d |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$11.07886354$ |
$1$ |
|
$0$ |
$34944$ |
$1.200016$ |
$-39091613782464$ |
$1.12198$ |
$4.63685$ |
$[0, 0, 0, -97896, -11789504]$ |
\(y^2=x^3-97896x-11789504\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(131040/17, 29902328/17)]$ |
$1$ |
| 20736.a2 |
20736d1 |
20736.a |
20736d |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$0.852220272$ |
$1$ |
|
$2$ |
$2688$ |
$-0.082458$ |
$576$ |
$0.61315$ |
$2.19736$ |
$[0, 0, 0, 24, 64]$ |
\(y^2=x^3+24x+64\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(0, 8)]$ |
$1$ |
| 20736.b1 |
20736h2 |
20736.b |
20736h |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{10} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$0.943859178$ |
$1$ |
|
$10$ |
$52416$ |
$1.402750$ |
$-39091613782464$ |
$1.12198$ |
$4.88161$ |
$[0, 0, 0, -220266, 39789576]$ |
\(y^2=x^3-220266x+39789576\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(271, 1), (276, 144)]$ |
$1$ |
| 20736.b2 |
20736h1 |
20736.b |
20736h |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{10} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$0.943859178$ |
$1$ |
|
$12$ |
$4032$ |
$0.120275$ |
$576$ |
$0.61315$ |
$2.44211$ |
$[0, 0, 0, 54, -216]$ |
\(y^2=x^3+54x-216\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(6, 18), (15, 63)]$ |
$1$ |
| 20736.c1 |
20736l2 |
20736.c |
20736l |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$34944$ |
$1.200016$ |
$-39091613782464$ |
$1.12198$ |
$4.63685$ |
$[0, 0, 0, -97896, 11789504]$ |
\(y^2=x^3-97896x+11789504\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20736.c2 |
20736l1 |
20736.c |
20736l |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$2688$ |
$-0.082458$ |
$576$ |
$0.61315$ |
$2.19736$ |
$[0, 0, 0, 24, -64]$ |
\(y^2=x^3+24x-64\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20736.d1 |
20736p2 |
20736.d |
20736p |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$24.76482283$ |
$1$ |
|
$0$ |
$52416$ |
$1.402750$ |
$-39091613782464$ |
$1.12198$ |
$4.88161$ |
$[0, 0, 0, -220266, -39789576]$ |
\(y^2=x^3-220266x-39789576\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(58886576782/8929, 10078953993370090/8929)]$ |
$1$ |
| 20736.d2 |
20736p1 |
20736.d |
20736p |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1.904986372$ |
$1$ |
|
$2$ |
$4032$ |
$0.120275$ |
$576$ |
$0.61315$ |
$2.44211$ |
$[0, 0, 0, 54, 216]$ |
\(y^2=x^3+54x+216\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(-2, 10)]$ |
$1$ |
| 20736.m1 |
20736g2 |
20736.m |
20736g |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$104832$ |
$1.749323$ |
$-39091613782464$ |
$1.12198$ |
$5.30002$ |
$[0, 0, 0, -881064, 318316608]$ |
\(y^2=x^3-881064x+318316608\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20736.m2 |
20736g1 |
20736.m |
20736g |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.466848$ |
$576$ |
$0.61315$ |
$2.86053$ |
$[0, 0, 0, 216, -1728]$ |
\(y^2=x^3+216x-1728\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20736.n1 |
20736c2 |
20736.n |
20736c |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$14.80026034$ |
$1$ |
|
$0$ |
$17472$ |
$0.853443$ |
$-39091613782464$ |
$1.12198$ |
$4.21844$ |
$[0, 0, 0, -24474, -1473688]$ |
\(y^2=x^3-24474x-1473688\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(2651039/17, 4315792879/17)]$ |
$1$ |
| 20736.n2 |
20736c1 |
20736.n |
20736c |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1.138481565$ |
$1$ |
|
$2$ |
$1344$ |
$-0.429031$ |
$576$ |
$0.61315$ |
$1.77894$ |
$[0, 0, 0, 6, 8]$ |
\(y^2=x^3+6x+8\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(-1, 1)]$ |
$1$ |
| 20736.o1 |
20736o2 |
20736.o |
20736o |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$13.86959219$ |
$1$ |
|
$0$ |
$104832$ |
$1.749323$ |
$-39091613782464$ |
$1.12198$ |
$5.30002$ |
$[0, 0, 0, -881064, -318316608]$ |
\(y^2=x^3-881064x-318316608\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(8625336/89, 2586264048/89)]$ |
$1$ |
| 20736.o2 |
20736o1 |
20736.o |
20736o |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{15} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1.066891707$ |
$1$ |
|
$2$ |
$8064$ |
$0.466848$ |
$576$ |
$0.61315$ |
$2.86053$ |
$[0, 0, 0, 216, 1728]$ |
\(y^2=x^3+216x+1728\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[(24, 144)]$ |
$1$ |
| 20736.p1 |
20736k2 |
20736.p |
20736k |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$17472$ |
$0.853443$ |
$-39091613782464$ |
$1.12198$ |
$4.21844$ |
$[0, 0, 0, -24474, 1473688]$ |
\(y^2=x^3-24474x+1473688\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.2, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 20736.p2 |
20736k1 |
20736.p |
20736k |
$2$ |
$13$ |
\( 2^{8} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 13$ |
8.2.0.1, 13.14.0.1 |
13B |
$1872$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1344$ |
$-0.429031$ |
$576$ |
$0.61315$ |
$1.77894$ |
$[0, 0, 0, 6, -8]$ |
\(y^2=x^3+6x-8\) |
8.2.0.a.1, 13.14.0.a.1, 52.28.0.b.1, 104.56.1.?, 117.42.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.p1 |
33282j2 |
33282.p |
33282j |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{32} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$13416$ |
$336$ |
$9$ |
$1$ |
$9$ |
$3$ |
$0$ |
$58601088$ |
$4.223572$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$7.19736$ |
$[1, -1, 0, -1360210725, 21751296351903]$ |
\(y^2+xy=x^3-x^2-1360210725x+21751296351903\) |
8.2.0.a.1, 13.28.0.a.2, 39.56.0-13.a.2.1, 104.56.1.?, 312.112.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.p2 |
33282j1 |
33282.p |
33282j |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$13416$ |
$336$ |
$9$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4507776$ |
$2.941097$ |
$-140246460241/73728$ |
$0.99918$ |
$5.98773$ |
$[1, -1, 0, -22107915, -40022756667]$ |
\(y^2+xy=x^3-x^2-22107915x-40022756667\) |
8.2.0.a.1, 13.28.0.a.1, 39.56.0-13.a.1.1, 104.56.1.?, 312.112.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.q1 |
33282bg2 |
33282.q |
33282bg |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{32} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$13416$ |
$336$ |
$9$ |
$28.67327304$ |
$1$ |
|
$0$ |
$1362816$ |
$2.342972$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$5.03010$ |
$[1, -1, 1, -735647, -273388935]$ |
\(y^2+xy+y=x^3-x^2-735647x-273388935\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 1677.168.2.?, $\ldots$ |
$[(60221/4, 14228433/4), (110063/2, 36385671/2)]$ |
$1$ |
| 33282.q2 |
33282bg1 |
33282.q |
33282bg |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$13416$ |
$336$ |
$9$ |
$0.169664337$ |
$1$ |
|
$30$ |
$104832$ |
$1.060499$ |
$-140246460241/73728$ |
$0.99918$ |
$3.82047$ |
$[1, -1, 1, -11957, 506445]$ |
\(y^2+xy+y=x^3-x^2-11957x+506445\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 1677.168.2.?, $\ldots$ |
$[(47, 192), (71, 72)]$ |
$1$ |
| 88752.a1 |
88752n2 |
88752.a |
88752n |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{26} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$175803264$ |
$4.367416$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.72927$ |
$[0, -1, 0, -2418152400, 51558628389696]$ |
\(y^2=x^3-x^2-2418152400x+51558628389696\) |
8.2.0.a.1, 13.28.0.a.2, 52.56.0-13.a.2.1, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.a2 |
88752n1 |
88752.a |
88752n |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{25} \cdot 3^{2} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$13523328$ |
$3.084942$ |
$-140246460241/73728$ |
$0.99918$ |
$5.62377$ |
$[0, -1, 0, -39302960, -94868756544]$ |
\(y^2=x^3-x^2-39302960x-94868756544\) |
8.2.0.a.1, 13.28.0.a.1, 52.56.0-13.a.1.1, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.bm1 |
88752bm2 |
88752.bm |
88752bm |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{26} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$4088448$ |
$2.486816$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$4.74858$ |
$[0, 1, 0, -1307816, -648904908]$ |
\(y^2=x^3+x^2-1307816x-648904908\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 2236.168.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.bm2 |
88752bm1 |
88752.bm |
88752bm |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{25} \cdot 3^{2} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$314496$ |
$1.204340$ |
$-140246460241/73728$ |
$0.99918$ |
$3.64307$ |
$[0, 1, 0, -21256, 1186292]$ |
\(y^2=x^3+x^2-21256x+1186292\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 2236.168.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 266256.b1 |
266256b2 |
266256.b |
266256b |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{32} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$13416$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$32707584$ |
$3.036121$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$4.85863$ |
$[0, 0, 0, -11770347, 17508662170]$ |
\(y^2=x^3-11770347x+17508662170\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 4472.168.9.?, $\ldots$ |
$[ ]$ |
$1$ |
| 266256.b2 |
266256b1 |
266256.b |
266256b |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{25} \cdot 3^{8} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$13416$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$2515968$ |
$1.753647$ |
$-140246460241/73728$ |
$0.99918$ |
$3.85035$ |
$[0, 0, 0, -191307, -32221190]$ |
\(y^2=x^3-191307x-32221190\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 4472.168.9.?, $\ldots$ |
$[ ]$ |
$1$ |
| 266256.cz1 |
266256cz2 |
266256.cz |
266256cz |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{32} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$13416$ |
$336$ |
$9$ |
$89.27493772$ |
$1$ |
|
$0$ |
$1406426112$ |
$4.916718$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.66513$ |
$[0, 0, 0, -21763371603, -1392061203150190]$ |
\(y^2=x^3-21763371603x-1392061203150190\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 156.56.0.?, 312.112.1.?, $\ldots$ |
$[(4418573732912274968700803610668478665365495/824408649048879059, 9285605288685997787727763876377090639697227650869408557232697550/824408649048879059)]$ |
$1$ |
| 266256.cz2 |
266256cz1 |
266256.cz |
266256cz |
$2$ |
$13$ |
\( 2^{4} \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{25} \cdot 3^{8} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$13416$ |
$336$ |
$9$ |
$6.867302902$ |
$1$ |
|
$2$ |
$108186624$ |
$3.634247$ |
$-140246460241/73728$ |
$0.99918$ |
$5.65685$ |
$[0, 0, 0, -353726643, 2561810153330]$ |
\(y^2=x^3-353726643x+2561810153330\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 156.56.0.?, 312.112.1.?, $\ldots$ |
$[(5935, 819450)]$ |
$1$ |
| 277350.e1 |
277350e2 |
277350.e |
277350e |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{26} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$22360$ |
$336$ |
$9$ |
$96.02698389$ |
$1$ |
|
$0$ |
$586010880$ |
$4.478989$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.22431$ |
$[1, 1, 0, -3778363125, -100700446073625]$ |
\(y^2+xy=x^3+x^2-3778363125x-100700446073625\) |
8.2.0.a.1, 13.28.0.a.2, 65.56.0-13.a.2.1, 104.56.1.?, 520.112.1.?, $\ldots$ |
$[(3016864996273808765226644786435268628837290585/69765241863286715119, 164747217721372405827208990503148714279595313908104868910764669646780/69765241863286715119)]$ |
$1$ |
| 277350.e2 |
277350e1 |
277350.e |
277350e |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{6} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$22360$ |
$336$ |
$9$ |
$7.386691069$ |
$1$ |
|
$2$ |
$45077760$ |
$3.196510$ |
$-140246460241/73728$ |
$0.99918$ |
$5.21931$ |
$[1, 1, 0, -61410875, 185290540125]$ |
\(y^2+xy=x^3+x^2-61410875x+185290540125\) |
8.2.0.a.1, 13.28.0.a.1, 65.56.0-13.a.1.1, 104.56.1.?, 520.112.1.?, $\ldots$ |
$[(15335, 1680545)]$ |
$1$ |
| 277350.do1 |
277350do2 |
277350.do |
277350do |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{26} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$22360$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$13628160$ |
$2.598385$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$4.42369$ |
$[1, 0, 0, -2043463, 1266370667]$ |
\(y^2+xy=x^3-2043463x+1266370667\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 2795.168.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 277350.do2 |
277350do1 |
277350.do |
277350do |
$2$ |
$13$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$22360$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1048320$ |
$1.315912$ |
$-140246460241/73728$ |
$0.99918$ |
$3.41869$ |
$[1, 0, 0, -33213, -2333583]$ |
\(y^2+xy=x^3-33213x-2333583\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 2795.168.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 355008.b1 |
355008b2 |
355008.b |
355008b |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{26} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$10.85897353$ |
$1$ |
|
$0$ |
$32707584$ |
$2.833389$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$4.55890$ |
$[0, -1, 0, -5231265, -5186007999]$ |
\(y^2=x^3-x^2-5231265x-5186007999\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 1118.168.2.?, $\ldots$ |
$[(330581/11, 40088416/11)]$ |
$1$ |
| 355008.b2 |
355008b1 |
355008.b |
355008b |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{31} \cdot 3^{2} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$0.835305656$ |
$1$ |
|
$4$ |
$2515968$ |
$1.550913$ |
$-140246460241/73728$ |
$0.99918$ |
$3.57332$ |
$[0, -1, 0, -85025, 9575361]$ |
\(y^2=x^3-x^2-85025x+9575361\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 1118.168.2.?, $\ldots$ |
$[(253, 2048)]$ |
$1$ |
| 355008.ce1 |
355008ce2 |
355008.ce |
355008ce |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{26} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$218.6150508$ |
$1$ |
|
$0$ |
$1406426112$ |
$4.713989$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.32474$ |
$[0, -1, 0, -9672609601, -412459354507967]$ |
\(y^2=x^3-x^2-9672609601x-412459354507967\) |
8.2.0.a.1, 13.28.0.a.2, 52.56.0-13.a.2.3, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[(826914765761060153447309021156718076416649822708088162842762190165895905957676871303758247090424761/62498167104408780526662719703043600027417984435, 20465083331789758521151483371146431509472026430584229623914071291876377216022307768458142960472036395021165164125719591902377614636843509977303678816/62498167104408780526662719703043600027417984435)]$ |
$1$ |
| 355008.ce2 |
355008ce1 |
355008.ce |
355008ce |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{31} \cdot 3^{2} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$16.81654237$ |
$1$ |
|
$0$ |
$108186624$ |
$3.431515$ |
$-140246460241/73728$ |
$0.99918$ |
$5.33915$ |
$[0, -1, 0, -157211841, 759107264193]$ |
\(y^2=x^3-x^2-157211841x+759107264193\) |
8.2.0.a.1, 13.28.0.a.1, 52.56.0-13.a.1.3, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[(3249532569/755, 94406294857728/755)]$ |
$1$ |
| 355008.cf1 |
355008cf2 |
355008.cf |
355008cf |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{26} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$0.697149968$ |
$1$ |
|
$4$ |
$32707584$ |
$2.833389$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$4.55890$ |
$[0, 1, 0, -5231265, 5186007999]$ |
\(y^2=x^3+x^2-5231265x+5186007999\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 2236.168.2.?, $\ldots$ |
$[(-195, 78732)]$ |
$1$ |
| 355008.cf2 |
355008cf1 |
355008.cf |
355008cf |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{31} \cdot 3^{2} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$9.062949586$ |
$1$ |
|
$2$ |
$2515968$ |
$1.550913$ |
$-140246460241/73728$ |
$0.99918$ |
$3.57332$ |
$[0, 1, 0, -85025, -9575361]$ |
\(y^2=x^3+x^2-85025x-9575361\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 2236.168.2.?, $\ldots$ |
$[(29725, 5124708)]$ |
$1$ |
| 355008.ej1 |
355008ej2 |
355008.ej |
355008ej |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{26} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$4.129786093$ |
$1$ |
|
$2$ |
$1406426112$ |
$4.713989$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.32474$ |
$[0, 1, 0, -9672609601, 412459354507967]$ |
\(y^2=x^3+x^2-9672609601x+412459354507967\) |
8.2.0.a.1, 13.28.0.a.2, 26.56.0-13.a.2.2, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[(-114022, 5741145)]$ |
$1$ |
| 355008.ej2 |
355008ej1 |
355008.ej |
355008ej |
$2$ |
$13$ |
\( 2^{6} \cdot 3 \cdot 43^{2} \) |
\( - 2^{31} \cdot 3^{2} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$53.68721921$ |
$1$ |
|
$0$ |
$108186624$ |
$3.431515$ |
$-140246460241/73728$ |
$0.99918$ |
$5.33915$ |
$[0, 1, 0, -157211841, -759107264193]$ |
\(y^2=x^3+x^2-157211841x-759107264193\) |
8.2.0.a.1, 13.28.0.a.1, 26.56.0-13.a.1.1, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[(38352569954273661131855442/46523598463, 143081490329124184617308720246413533195/46523598463)]$ |
$1$ |
