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 |
57.c2 |
57b1 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( 3^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3$ |
$-0.591582$ |
$30664297/3249$ |
$0.90727$ |
$4.26376$ |
$[1, 0, 1, -7, 5]$ |
\(y^2+xy+y=x^3-7x+5\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[]$ |
171.a2 |
171a2 |
171.a |
171a |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \) |
\( 3^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$24$ |
$-0.042276$ |
$30664297/3249$ |
$0.90727$ |
$4.63474$ |
$[1, -1, 1, -59, -142]$ |
\(y^2+xy+y=x^3-x^2-59x-142\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[]$ |
912.b2 |
912g2 |
912.b |
912g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1.300946956$ |
$1$ |
|
$9$ |
$192$ |
$0.101565$ |
$30664297/3249$ |
$0.90727$ |
$3.74967$ |
$[0, -1, 0, -104, -336]$ |
\(y^2=x^3-x^2-104x-336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 76.24.0.?, 228.48.0.? |
$[(-6, 6)]$ |
1083.a2 |
1083b2 |
1083.a |
1083b |
$4$ |
$4$ |
\( 3 \cdot 19^{2} \) |
\( 3^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1080$ |
$0.880637$ |
$30664297/3249$ |
$0.90727$ |
$4.99539$ |
$[1, 1, 1, -2354, -40714]$ |
\(y^2+xy+y=x^3+x^2-2354x-40714\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.? |
$[]$ |
1425.a2 |
1425a2 |
1425.a |
1425a |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19 \) |
\( 3^{2} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$0.781842584$ |
$1$ |
|
$12$ |
$384$ |
$0.213137$ |
$30664297/3249$ |
$0.90727$ |
$3.70360$ |
$[1, 1, 1, -163, 656]$ |
\(y^2+xy+y=x^3+x^2-163x+656\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[(4, 7)]$ |
2736.s2 |
2736t2 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.650871$ |
$30664297/3249$ |
$0.90727$ |
$4.06205$ |
$[0, 0, 0, -939, 10010]$ |
\(y^2=x^3-939x+10010\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 76.24.0.?, 228.48.0.? |
$[]$ |
2793.i2 |
2793c2 |
2793.i |
2793c |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19 \) |
\( 3^{2} \cdot 7^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$3.275125787$ |
$1$ |
|
$2$ |
$1152$ |
$0.381373$ |
$30664297/3249$ |
$0.90727$ |
$3.64392$ |
$[1, 1, 0, -319, -2120]$ |
\(y^2+xy=x^3+x^2-319x-2120\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[(143/2, 1327/2)]$ |
3249.g2 |
3249e2 |
3249.g |
3249e |
$4$ |
$4$ |
\( 3^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$228$ |
$48$ |
$0$ |
$7.785547844$ |
$1$ |
|
$2$ |
$8640$ |
$1.429943$ |
$30664297/3249$ |
$0.90727$ |
$5.13188$ |
$[1, -1, 0, -21186, 1078087]$ |
\(y^2+xy=x^3-x^2-21186x+1078087\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 76.24.0.?, 228.48.0.? |
$[(-34/7, 358679/7)]$ |
3648.o2 |
3648g2 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.448139$ |
$30664297/3249$ |
$0.90727$ |
$3.62296$ |
$[0, -1, 0, -417, 3105]$ |
\(y^2=x^3-x^2-417x+3105\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
3648.bf2 |
3648bf2 |
3648.bf |
3648bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$4.212750122$ |
$1$ |
|
$5$ |
$1536$ |
$0.448139$ |
$30664297/3249$ |
$0.90727$ |
$3.62296$ |
$[0, 1, 0, -417, -3105]$ |
\(y^2=x^3+x^2-417x-3105\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[(498, 11115)]$ |
4275.m2 |
4275e2 |
4275.m |
4275e |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 3^{8} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$0.762443$ |
$30664297/3249$ |
$0.90727$ |
$4.00535$ |
$[1, -1, 0, -1467, -19184]$ |
\(y^2+xy=x^3-x^2-1467x-19184\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
6897.a2 |
6897f2 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( 3^{2} \cdot 11^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4320$ |
$0.607366$ |
$30664297/3249$ |
$0.90727$ |
$3.57807$ |
$[1, 0, 0, -789, -7776]$ |
\(y^2+xy=x^3-789x-7776\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
8379.e2 |
8379n2 |
8379.e |
8379n |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 19 \) |
\( 3^{8} \cdot 7^{6} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1.841944016$ |
$1$ |
|
$26$ |
$9216$ |
$0.930679$ |
$30664297/3249$ |
$0.90727$ |
$3.93046$ |
$[1, -1, 1, -2876, 54366]$ |
\(y^2+xy+y=x^3-x^2-2876x+54366\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[(2, 219), (51, 170)]$ |
9633.h2 |
9633m2 |
9633.h |
9633m |
$4$ |
$4$ |
\( 3 \cdot 13^{2} \cdot 19 \) |
\( 3^{2} \cdot 13^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2964$ |
$48$ |
$0$ |
$3.186858900$ |
$1$ |
|
$4$ |
$5760$ |
$0.690892$ |
$30664297/3249$ |
$0.90727$ |
$3.55701$ |
$[1, 0, 0, -1102, 12635]$ |
\(y^2+xy=x^3-1102x+12635\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$ |
$[(-13, 164)]$ |
10944.n2 |
10944cb2 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$2.107890646$ |
$1$ |
|
$9$ |
$12288$ |
$0.997445$ |
$30664297/3249$ |
$0.90727$ |
$3.90374$ |
$[0, 0, 0, -3756, 80080]$ |
\(y^2=x^3-3756x+80080\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[(-6, 320)]$ |
10944.o2 |
10944bh2 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$3.044327614$ |
$1$ |
|
$7$ |
$12288$ |
$0.997445$ |
$30664297/3249$ |
$0.90727$ |
$3.90374$ |
$[0, 0, 0, -3756, -80080]$ |
\(y^2=x^3-3756x-80080\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[(-28, 56)]$ |
16473.e2 |
16473a2 |
16473.e |
16473a |
$4$ |
$4$ |
\( 3 \cdot 17^{2} \cdot 19 \) |
\( 3^{2} \cdot 17^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3876$ |
$48$ |
$0$ |
$5.539546961$ |
$1$ |
|
$2$ |
$13824$ |
$0.825025$ |
$30664297/3249$ |
$0.90727$ |
$3.52623$ |
$[1, 1, 0, -1884, 27675]$ |
\(y^2+xy=x^3+x^2-1884x+27675\) |
2.6.0.a.1, 12.12.0.b.1, 68.12.0-2.a.1.1, 76.12.0.?, 204.24.0.?, $\ldots$ |
$[(-34/5, 21821/5)]$ |
17328.u2 |
17328bg2 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$69120$ |
$1.573784$ |
$30664297/3249$ |
$0.90727$ |
$4.42855$ |
$[0, 1, 0, -37664, 2530356]$ |
\(y^2=x^3+x^2-37664x+2530356\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.? |
$[]$ |
20691.p2 |
20691q2 |
20691.p |
20691q |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 19 \) |
\( 3^{8} \cdot 11^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$34560$ |
$1.156672$ |
$30664297/3249$ |
$0.90727$ |
$3.84582$ |
$[1, -1, 0, -7101, 209952]$ |
\(y^2+xy=x^3-x^2-7101x+209952\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
22800.cw2 |
22800de2 |
22800.cw |
22800de |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$0.906284$ |
$30664297/3249$ |
$0.90727$ |
$3.50919$ |
$[0, 1, 0, -2608, -47212]$ |
\(y^2=x^3+x^2-2608x-47212\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
27075.s2 |
27075q2 |
27075.s |
27075q |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$13.53685764$ |
$1$ |
|
$2$ |
$138240$ |
$1.685356$ |
$30664297/3249$ |
$0.90727$ |
$4.36609$ |
$[1, 0, 1, -58851, -4971527]$ |
\(y^2+xy+y=x^3-58851x-4971527\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.3, 76.12.0.?, $\ldots$ |
$[(3305137/59, 5694455569/59)]$ |
28899.m2 |
28899k2 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( 3^{8} \cdot 13^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2964$ |
$48$ |
$0$ |
$5.342809403$ |
$1$ |
|
$4$ |
$46080$ |
$1.240198$ |
$30664297/3249$ |
$0.90727$ |
$3.81831$ |
$[1, -1, 0, -9918, -341145]$ |
\(y^2+xy=x^3-x^2-9918x-341145\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$ |
$[(2662, 135897)]$ |
30153.g2 |
30153h2 |
30153.g |
30153h |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 23^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5244$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$36960$ |
$0.976165$ |
$30664297/3249$ |
$0.90727$ |
$3.49539$ |
$[1, 0, 1, -3450, -70769]$ |
\(y^2+xy+y=x^3-3450x-70769\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 92.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
44688.di2 |
44688cv2 |
44688.di |
44688cv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.074520$ |
$30664297/3249$ |
$0.90727$ |
$3.47719$ |
$[0, 1, 0, -5112, 125460]$ |
\(y^2=x^3+x^2-5112x+125460\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
47937.b2 |
47937b2 |
47937.b |
47937b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 29^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6612$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$75264$ |
$1.092066$ |
$30664297/3249$ |
$0.90727$ |
$3.47408$ |
$[1, 1, 1, -5484, 138996]$ |
\(y^2+xy+y=x^3+x^2-5484x+138996\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 116.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
49419.d2 |
49419b2 |
49419.d |
49419b |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \cdot 19 \) |
\( 3^{8} \cdot 17^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3876$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$1.374331$ |
$30664297/3249$ |
$0.90727$ |
$3.77769$ |
$[1, -1, 1, -16961, -764184]$ |
\(y^2+xy+y=x^3-x^2-16961x-764184\) |
2.6.0.a.1, 12.12.0.b.1, 68.12.0-2.a.1.1, 76.12.0.?, 204.24.0.?, $\ldots$ |
$[]$ |
51984.ci2 |
51984cr2 |
51984.ci |
51984cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$552960$ |
$2.123089$ |
$30664297/3249$ |
$0.90727$ |
$4.58754$ |
$[0, 0, 0, -338979, -68658590]$ |
\(y^2=x^3-338979x-68658590\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 76.24.0.?, 228.48.0.? |
$[]$ |
53067.j2 |
53067t2 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$414720$ |
$1.853592$ |
$30664297/3249$ |
$0.90727$ |
$4.28159$ |
$[1, 0, 0, -115347, 13618800]$ |
\(y^2+xy=x^3-115347x+13618800\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
54777.c2 |
54777a2 |
54777.c |
54777a |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 31^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7068$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$86400$ |
$1.125412$ |
$30664297/3249$ |
$0.90727$ |
$3.46828$ |
$[1, 1, 0, -6266, -175185]$ |
\(y^2+xy=x^3+x^2-6266x-175185\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 124.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
68400.dj2 |
68400ex2 |
68400.dj |
68400ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$2.301853412$ |
$1$ |
|
$27$ |
$196608$ |
$1.455589$ |
$30664297/3249$ |
$0.90727$ |
$3.75498$ |
$[0, 0, 0, -23475, 1251250]$ |
\(y^2=x^3-23475x+1251250\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[(15, 950), (50, 450)]$ |
69312.bp2 |
69312cp2 |
69312.bp |
69312cp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$9.104361385$ |
$1$ |
|
$3$ |
$552960$ |
$1.920359$ |
$30664297/3249$ |
$0.90727$ |
$4.25088$ |
$[0, -1, 0, -150657, 20393505]$ |
\(y^2=x^3-x^2-150657x+20393505\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 76.12.0.?, $\ldots$ |
$[(-39203/11, 7884480/11)]$ |
69312.dn2 |
69312br2 |
69312.dn |
69312br |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$20.28489791$ |
$1$ |
|
$3$ |
$552960$ |
$1.920359$ |
$30664297/3249$ |
$0.90727$ |
$4.25088$ |
$[0, 1, 0, -150657, -20393505]$ |
\(y^2=x^3+x^2-150657x-20393505\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 76.12.0.?, $\ldots$ |
$[(-821566415/2211, 4923062007920/2211)]$ |
69825.q2 |
69825by2 |
69825.q |
69825by |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7980$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$147456$ |
$1.186092$ |
$30664297/3249$ |
$0.90727$ |
$3.45809$ |
$[1, 0, 0, -7988, -249033]$ |
\(y^2+xy=x^3-7988x-249033\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 140.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
78033.a2 |
78033b2 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8436$ |
$48$ |
$0$ |
$7.510417240$ |
$1$ |
|
$2$ |
$145152$ |
$1.213877$ |
$30664297/3249$ |
$0.90727$ |
$3.45357$ |
$[1, 0, 0, -8927, 292680]$ |
\(y^2+xy=x^3-8927x+292680\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 148.12.0.?, 228.24.0.?, $\ldots$ |
$[(1933/7, 9682/7)]$ |
81225.k2 |
81225bd2 |
81225.k |
81225bd |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$3.820430677$ |
$1$ |
|
$4$ |
$1105920$ |
$2.234661$ |
$30664297/3249$ |
$0.90727$ |
$4.52487$ |
$[1, -1, 1, -529655, 134231222]$ |
\(y^2+xy+y=x^3-x^2-529655x+134231222\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.2, 60.24.0-12.b.1.4, 76.12.0.?, $\ldots$ |
$[(69, 9865)]$ |
90459.f2 |
90459r2 |
90459.f |
90459r |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 23^{2} \) |
\( 3^{8} \cdot 19^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$295680$ |
$1.525471$ |
$30664297/3249$ |
$0.90727$ |
$3.73649$ |
$[1, -1, 1, -31046, 1910756]$ |
\(y^2+xy+y=x^3-x^2-31046x+1910756\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 92.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
91200.cp2 |
91200ez2 |
91200.cp |
91200ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.252857$ |
$30664297/3249$ |
$0.90727$ |
$3.44738$ |
$[0, -1, 0, -10433, -367263]$ |
\(y^2=x^3-x^2-10433x-367263\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 76.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
91200.ha2 |
91200dn2 |
91200.ha |
91200dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$3.512409554$ |
$1$ |
|
$5$ |
$196608$ |
$1.252857$ |
$30664297/3249$ |
$0.90727$ |
$3.44738$ |
$[0, 1, 0, -10433, 367263]$ |
\(y^2=x^3+x^2-10433x+367263\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 76.12.0.?, 120.24.0.?, $\ldots$ |
$[(1323, 48000)]$ |
95817.i2 |
95817d2 |
95817.i |
95817d |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 41^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9348$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$211200$ |
$1.265203$ |
$30664297/3249$ |
$0.90727$ |
$3.44545$ |
$[1, 1, 0, -10961, 394680]$ |
\(y^2+xy=x^3+x^2-10961x+394680\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 164.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
105393.d2 |
105393j2 |
105393.d |
105393j |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 43^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9804$ |
$48$ |
$0$ |
$9.816090003$ |
$1$ |
|
$2$ |
$241920$ |
$1.289019$ |
$30664297/3249$ |
$0.90727$ |
$3.44179$ |
$[1, 1, 1, -12057, -465594]$ |
\(y^2+xy+y=x^3+x^2-12057x-465594\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 172.12.0.?, 228.24.0.?, $\ldots$ |
$[(-89975/43, 9363989/43)]$ |
110352.j2 |
110352y2 |
110352.j |
110352y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$1.156114656$ |
$1$ |
|
$13$ |
$276480$ |
$1.300512$ |
$30664297/3249$ |
$0.90727$ |
$3.44004$ |
$[0, -1, 0, -12624, 497664]$ |
\(y^2=x^3-x^2-12624x+497664\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[(24, 456)]$ |
125913.h2 |
125913g2 |
125913.h |
125913g |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 47^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10716$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$298080$ |
$1.333492$ |
$30664297/3249$ |
$0.90727$ |
$3.43509$ |
$[1, 0, 1, -14405, -602629]$ |
\(y^2+xy+y=x^3-14405x-602629\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 188.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
131043.w2 |
131043z2 |
131043.w |
131043z |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 11^{6} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$11.25988427$ |
$1$ |
|
$2$ |
$1555200$ |
$2.079586$ |
$30664297/3249$ |
$0.90727$ |
$4.18327$ |
$[1, 1, 0, -284836, 52765915]$ |
\(y^2+xy=x^3+x^2-284836x+52765915\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[(-281186/49, 1088585497/49)]$ |
134064.bm2 |
134064q2 |
134064.bm |
134064q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{6} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$3.944542647$ |
$1$ |
|
$25$ |
$589824$ |
$1.623827$ |
$30664297/3249$ |
$0.90727$ |
$3.71195$ |
$[0, 0, 0, -46011, -3433430]$ |
\(y^2=x^3-46011x-3433430\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[(-97, 342), (359, 5130)]$ |
143811.p2 |
143811o2 |
143811.p |
143811o |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 29^{2} \) |
\( 3^{8} \cdot 19^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6612$ |
$48$ |
$0$ |
$15.44586400$ |
$1$ |
|
$2$ |
$602112$ |
$1.641373$ |
$30664297/3249$ |
$0.90727$ |
$3.70774$ |
$[1, -1, 0, -49356, -3802253]$ |
\(y^2+xy=x^3-x^2-49356x-3802253\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 116.12.0.?, 228.24.0.?, $\ldots$ |
$[(115246217/56, 1233938128849/56)]$ |
154128.bk2 |
154128ca2 |
154128.bk |
154128ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 13^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2964$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$368640$ |
$1.384039$ |
$30664297/3249$ |
$0.90727$ |
$3.42773$ |
$[0, -1, 0, -17632, -808640]$ |
\(y^2=x^3-x^2-17632x-808640\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$ |
$[]$ |
159201.bi2 |
159201bh2 |
159201.bi |
159201bh |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$3317760$ |
$2.402897$ |
$30664297/3249$ |
$0.90727$ |
$4.43920$ |
$[1, -1, 0, -1038123, -367707600]$ |
\(y^2+xy=x^3-x^2-1038123x-367707600\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.2, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
160113.d2 |
160113d2 |
160113.d |
160113d |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 53^{2} \) |
\( 3^{2} \cdot 19^{2} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12084$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$449280$ |
$1.393564$ |
$30664297/3249$ |
$0.90727$ |
$3.42637$ |
$[1, 1, 1, -18317, 854786]$ |
\(y^2+xy+y=x^3+x^2-18317x+854786\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 212.12.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
164331.a2 |
164331a2 |
164331.a |
164331a |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 31^{2} \) |
\( 3^{8} \cdot 19^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7068$ |
$48$ |
$0$ |
$4.501467586$ |
$1$ |
|
$4$ |
$691200$ |
$1.674717$ |
$30664297/3249$ |
$0.90727$ |
$3.69988$ |
$[1, -1, 1, -56399, 4673598]$ |
\(y^2+xy+y=x^3-x^2-56399x+4673598\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 124.12.0.?, 228.24.0.?, $\ldots$ |
$[(-46, 2700)]$ |
172425.ca2 |
172425cj2 |
172425.ca |
172425cj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12540$ |
$48$ |
$0$ |
$4.219124369$ |
$1$ |
|
$4$ |
$552960$ |
$1.412085$ |
$30664297/3249$ |
$0.90727$ |
$3.42375$ |
$[1, 1, 0, -19725, -972000]$ |
\(y^2+xy=x^3+x^2-19725x-972000\) |
2.6.0.a.1, 12.12.0.b.1, 76.12.0.?, 220.12.0.?, 228.24.0.?, $\ldots$ |
$[(260, 3270)]$ |