| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 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 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$13104$ |
$0.511193$ |
$-140246460241/73728$ |
$0.99918$ |
$3.56339$ |
$1$ |
$[1, 1, 0, -1328, -19200]$ |
\(y^2+xy=x^3+x^2-1328x-19200\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.168.2.?, 4472.336.9.? |
$[ ]$ |
$1$ |
| 11094.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 |
$4472$ |
$336$ |
$9$ |
$0.321923717$ |
$1$ |
|
$4$ |
$563472$ |
$2.391792$ |
$-140246460241/73728$ |
$0.99918$ |
$5.98628$ |
$1$ |
$[1, 0, 0, -2456435, 1482324321]$ |
\(y^2+xy=x^3-2456435x+1482324321\) |
8.2.0.a.1, 13.56.0-13.a.1.1, 104.112.1.?, 559.168.2.?, 4472.336.9.? |
$[(154, 33205)]$ |
$1$ |
| 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 |
$13416$ |
$336$ |
$9$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4507776$ |
$2.941097$ |
$-140246460241/73728$ |
$0.99918$ |
$5.98773$ |
$1$ |
$[1, -1, 0, -22107915, -40022756667]$ |
\(y^2+xy=x^3-x^2-22107915x-40022756667\) |
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.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 |
$13416$ |
$336$ |
$9$ |
$0.169664337$ |
$1$ |
|
$30$ |
$104832$ |
$1.060499$ |
$-140246460241/73728$ |
$0.99918$ |
$3.82047$ |
$1$ |
$[1, -1, 1, -11957, 506445]$ |
\(y^2+xy+y=x^3-x^2-11957x+506445\) |
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.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 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$13523328$ |
$3.084942$ |
$-140246460241/73728$ |
$0.99918$ |
$5.62377$ |
$1$ |
$[0, -1, 0, -39302960, -94868756544]$ |
\(y^2=x^3-x^2-39302960x-94868756544\) |
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.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 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$314496$ |
$1.204340$ |
$-140246460241/73728$ |
$0.99918$ |
$3.64307$ |
$1$ |
$[0, 1, 0, -21256, 1186292]$ |
\(y^2=x^3+x^2-21256x+1186292\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 2236.168.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 266256.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 |
$13416$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$2515968$ |
$1.753647$ |
$-140246460241/73728$ |
$0.99918$ |
$3.85035$ |
$1$ |
$[0, 0, 0, -191307, -32221190]$ |
\(y^2=x^3-191307x-32221190\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 4472.168.9.?, $\ldots$ |
$[ ]$ |
$1$ |
| 266256.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 |
$13416$ |
$336$ |
$9$ |
$6.867302902$ |
$1$ |
|
$2$ |
$108186624$ |
$3.634247$ |
$-140246460241/73728$ |
$0.99918$ |
$5.65685$ |
$1$ |
$[0, 0, 0, -353726643, 2561810153330]$ |
\(y^2=x^3-353726643x+2561810153330\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 156.56.0.?, 312.112.1.?, $\ldots$ |
$[(5935, 819450)]$ |
$1$ |
| 277350.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 |
$22360$ |
$336$ |
$9$ |
$7.386691069$ |
$1$ |
|
$2$ |
$45077760$ |
$3.196510$ |
$-140246460241/73728$ |
$0.99918$ |
$5.21931$ |
$1$ |
$[1, 1, 0, -61410875, 185290540125]$ |
\(y^2+xy=x^3+x^2-61410875x+185290540125\) |
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.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 |
$22360$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1048320$ |
$1.315912$ |
$-140246460241/73728$ |
$0.99918$ |
$3.41869$ |
$1$ |
$[1, 0, 0, -33213, -2333583]$ |
\(y^2+xy=x^3-33213x-2333583\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 2795.168.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 355008.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 |
$4472$ |
$336$ |
$9$ |
$0.835305656$ |
$1$ |
|
$4$ |
$2515968$ |
$1.550913$ |
$-140246460241/73728$ |
$0.99918$ |
$3.57332$ |
$1$ |
$[0, -1, 0, -85025, 9575361]$ |
\(y^2=x^3-x^2-85025x+9575361\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 1118.168.2.?, $\ldots$ |
$[(253, 2048)]$ |
$1$ |
| 355008.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 |
$4472$ |
$336$ |
$9$ |
$16.81654237$ |
$1$ |
|
$0$ |
$108186624$ |
$3.431515$ |
$-140246460241/73728$ |
$0.99918$ |
$5.33915$ |
$1$ |
$[0, -1, 0, -157211841, 759107264193]$ |
\(y^2=x^3-x^2-157211841x+759107264193\) |
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.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 |
$4472$ |
$336$ |
$9$ |
$9.062949586$ |
$1$ |
|
$2$ |
$2515968$ |
$1.550913$ |
$-140246460241/73728$ |
$0.99918$ |
$3.57332$ |
$1$ |
$[0, 1, 0, -85025, -9575361]$ |
\(y^2=x^3+x^2-85025x-9575361\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 2236.168.2.?, $\ldots$ |
$[(29725, 5124708)]$ |
$1$ |
| 355008.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 |
$4472$ |
$336$ |
$9$ |
$53.68721921$ |
$1$ |
|
$0$ |
$108186624$ |
$3.431515$ |
$-140246460241/73728$ |
$0.99918$ |
$5.33915$ |
$1$ |
$[0, 1, 0, -157211841, -759107264193]$ |
\(y^2=x^3+x^2-157211841x-759107264193\) |
8.2.0.a.1, 13.28.0.a.1, 26.56.0-13.a.1.1, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[(38352569954273661131855442/46523598463, 143081490329124184617308720246413533195/46523598463)]$ |
$1$ |
