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 |
510.c2 |
510d2 |
510.c |
510d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.4 |
2Cs |
$136$ |
$48$ |
$0$ |
$0.684795538$ |
$1$ |
|
$14$ |
$384$ |
$0.453959$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.77056$ |
$[1, 1, 1, -421, -3157]$ |
\(y^2+xy+y=x^3+x^2-421x-3157\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 68.24.0-68.b.1.1, 136.48.0.? |
$[(-13, 24)]$ |
1530.d2 |
1530f2 |
1530.d |
1530f |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$0.593903792$ |
$1$ |
|
$16$ |
$3072$ |
$1.003265$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.95475$ |
$[1, -1, 0, -3789, 81445]$ |
\(y^2+xy=x^3-x^2-3789x+81445\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[(66, 307)]$ |
2550.n2 |
2550k2 |
2550.n |
2550k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9216$ |
$1.258678$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.02282$ |
$[1, 0, 1, -10526, -373552]$ |
\(y^2+xy+y=x^3-10526x-373552\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[]$ |
4080.x2 |
4080bb2 |
4080.x |
4080bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$1.147106$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.57783$ |
$[0, 1, 0, -6736, 188564]$ |
\(y^2=x^3+x^2-6736x+188564\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 68.24.0-68.b.1.2, 136.48.0.? |
$[]$ |
7650.cn2 |
7650cf2 |
7650.cn |
7650cf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$73728$ |
$1.807985$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.14287$ |
$[1, -1, 1, -94730, 10085897]$ |
\(y^2+xy+y=x^3-x^2-94730x+10085897\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
8670.bb2 |
8670bb2 |
8670.bb |
8670bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$1.870565$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.15471$ |
$[1, 0, 0, -121675, -14657743]$ |
\(y^2+xy=x^3-121675x-14657743\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 68.24.0-68.b.1.1, 136.48.0.? |
$[]$ |
12240.ce2 |
12240cc2 |
12240.ce |
12240cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.696413$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.74383$ |
$[0, 0, 0, -60627, -5151854]$ |
\(y^2=x^3-60627x-5151854\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[]$ |
16320.bm2 |
16320ch2 |
16320.bm |
16320ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.493681$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.35234$ |
$[0, -1, 0, -26945, 1535457]$ |
\(y^2=x^3-x^2-26945x+1535457\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 68.24.0-68.b.1.3, 136.48.0.? |
$[]$ |
16320.cl2 |
16320bn2 |
16320.cl |
16320bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.493681$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.35234$ |
$[0, 1, 0, -26945, -1535457]$ |
\(y^2=x^3+x^2-26945x-1535457\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 68.24.0-68.b.1.3, 136.48.0.? |
$[]$ |
20400.g2 |
20400ca2 |
20400.g |
20400ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.951826$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.80849$ |
$[0, -1, 0, -168408, 23907312]$ |
\(y^2=x^3-x^2-168408x+23907312\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[]$ |
24990.cc2 |
24990cd2 |
24990.cc |
24990cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$952$ |
$48$ |
$0$ |
$0.378882230$ |
$1$ |
|
$18$ |
$110592$ |
$1.426914$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.09008$ |
$[1, 0, 0, -20630, 1020900]$ |
\(y^2+xy=x^3-20630x+1020900\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[(40, 490)]$ |
26010.n2 |
26010o2 |
26010.n |
26010o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$2.419872$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.24605$ |
$[1, -1, 0, -1095075, 395759061]$ |
\(y^2+xy=x^3-x^2-1095075x+395759061\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$ |
$[]$ |
43350.e2 |
43350n2 |
43350.e |
43350n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$680$ |
$48$ |
$0$ |
$6.082047653$ |
$1$ |
|
$6$ |
$2654208$ |
$2.675285$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.28212$ |
$[1, 1, 0, -3041875, -1832217875]$ |
\(y^2+xy=x^3+x^2-3041875x-1832217875\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$ |
$[(-1259, 2596)]$ |
48960.b2 |
48960bt2 |
48960.b |
48960bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.042988$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.51996$ |
$[0, 0, 0, -242508, 41214832]$ |
\(y^2=x^3-242508x+41214832\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[]$ |
48960.de2 |
48960el2 |
48960.de |
48960el |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$8.326960994$ |
$1$ |
|
$3$ |
$589824$ |
$2.042988$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.51996$ |
$[0, 0, 0, -242508, -41214832]$ |
\(y^2=x^3-242508x-41214832\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[(-26176/11, 1410500/11)]$ |
61200.g2 |
61200gd2 |
61200.g |
61200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1769472$ |
$2.501133$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.92725$ |
$[0, 0, 0, -1515675, -643981750]$ |
\(y^2=x^3-1515675x-643981750\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
61710.i2 |
61710c2 |
61710.i |
61710c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$491520$ |
$1.652906$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.00074$ |
$[1, 1, 0, -50943, 3947013]$ |
\(y^2+xy=x^3+x^2-50943x+3947013\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$ |
$[]$ |
69360.be2 |
69360cy2 |
69360.be |
69360cy |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$136$ |
$48$ |
$0$ |
$2.491681788$ |
$1$ |
|
$9$ |
$2654208$ |
$2.563713$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.93930$ |
$[0, -1, 0, -1946800, 938095552]$ |
\(y^2=x^3-x^2-1946800x+938095552\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 68.24.0-68.b.1.2, 136.48.0.? |
$[(1162, 15606)]$ |
74970.y2 |
74970bd2 |
74970.y |
74970bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$1.976221$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.27701$ |
$[1, -1, 0, -185670, -27564300]$ |
\(y^2+xy=x^3-x^2-185670x-27564300\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 84.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
81600.ew2 |
81600o2 |
81600.ew |
81600o |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$680$ |
$48$ |
$0$ |
$10.90712128$ |
$1$ |
|
$3$ |
$1769472$ |
$2.298401$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.58681$ |
$[0, -1, 0, -673633, -190584863]$ |
\(y^2=x^3-x^2-673633x-190584863\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[(-100088/17, 5040693/17)]$ |
81600.ff2 |
81600ii2 |
81600.ff |
81600ii |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$680$ |
$48$ |
$0$ |
$2.495805959$ |
$1$ |
|
$11$ |
$1769472$ |
$2.298401$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.58681$ |
$[0, 1, 0, -673633, 190584863]$ |
\(y^2=x^3+x^2-673633x+190584863\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[(599, 1536)]$ |
86190.t2 |
86190r2 |
86190.t |
86190r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1768$ |
$48$ |
$0$ |
$2.534799924$ |
$1$ |
|
$8$ |
$884736$ |
$1.736435$ |
$8253429989329/936360000$ |
$0.96220$ |
$3.97132$ |
$[1, 1, 0, -71152, -6579776]$ |
\(y^2+xy=x^3+x^2-71152x-6579776\) |
2.6.0.a.1, 8.12.0.b.1, 52.12.0-2.a.1.1, 68.12.0.b.1, 104.24.0.?, $\ldots$ |
$[(-137, 856)]$ |
124950.h2 |
124950bd2 |
124950.h |
124950bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4760$ |
$48$ |
$0$ |
$1.824860259$ |
$1$ |
|
$12$ |
$2654208$ |
$2.231632$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.35201$ |
$[1, 1, 0, -515750, 127612500]$ |
\(y^2+xy=x^3+x^2-515750x+127612500\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 136.24.0.?, 140.12.0.?, $\ldots$ |
$[(580, 4610)]$ |
130050.dw2 |
130050y2 |
130050.dw |
130050y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$3.474103845$ |
$1$ |
|
$8$ |
$21233664$ |
$3.224590$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.34910$ |
$[1, -1, 1, -27376880, 49442505747]$ |
\(y^2+xy+y=x^3-x^2-27376880x+49442505747\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(2129, 27285)]$ |
184110.p2 |
184110be2 |
184110.p |
184110be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2584$ |
$48$ |
$0$ |
$3.411085354$ |
$1$ |
|
$24$ |
$2654208$ |
$1.926178$ |
$8253429989329/936360000$ |
$0.96220$ |
$3.91051$ |
$[1, 0, 1, -151989, 20436736]$ |
\(y^2+xy+y=x^3-151989x+20436736\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 76.12.0.?, 136.24.0.?, $\ldots$ |
$[(11, 4326), (388, 4268)]$ |
185130.fr2 |
185130w2 |
185130.fr |
185130w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3932160$ |
$2.202213$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.18183$ |
$[1, -1, 1, -458492, -107027841]$ |
\(y^2+xy+y=x^3-x^2-458492x-107027841\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 132.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
199920.dt2 |
199920cw2 |
199920.dt |
199920cw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2654208$ |
$2.120060$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.07473$ |
$[0, -1, 0, -330080, -65337600]$ |
\(y^2=x^3-x^2-330080x-65337600\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[]$ |
208080.m2 |
208080br2 |
208080.m |
208080br |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$11.63433499$ |
$1$ |
|
$3$ |
$21233664$ |
$3.113018$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.03446$ |
$[0, 0, 0, -17521203, -25311058702]$ |
\(y^2=x^3-17521203x-25311058702\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$ |
$[(-1046161/19, 230280050/19)]$ |
244800.bu2 |
244800bu2 |
244800.bu |
244800bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$14155776$ |
$2.847706$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.71193$ |
$[0, 0, 0, -6062700, -5151854000]$ |
\(y^2=x^3-6062700x-5151854000\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
244800.rl2 |
244800rl2 |
244800.rl |
244800rl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2040$ |
$48$ |
$0$ |
$7.794830853$ |
$1$ |
|
$3$ |
$14155776$ |
$2.847706$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.71193$ |
$[0, 0, 0, -6062700, 5151854000]$ |
\(y^2=x^3-6062700x+5151854000\) |
2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(65185/8, 2962575/8)]$ |
258570.ec2 |
258570ec2 |
258570.ec |
258570ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$5304$ |
$48$ |
$0$ |
$2.361696016$ |
$1$ |
|
$8$ |
$7077888$ |
$2.285740$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.15015$ |
$[1, -1, 1, -640373, 177013581]$ |
\(y^2+xy+y=x^3-x^2-640373x+177013581\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 136.24.0.?, 156.12.0.?, $\ldots$ |
$[(923, 18816)]$ |
269790.bs2 |
269790bs2 |
269790.bs |
269790bs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4730880$ |
$2.021706$ |
$8253429989329/936360000$ |
$0.96220$ |
$3.88269$ |
$[1, 1, 1, -222720, 36181857]$ |
\(y^2+xy+y=x^3+x^2-222720x+36181857\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 92.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
277440.cd2 |
277440cd2 |
277440.cd |
277440cd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.8 |
2Cs |
$136$ |
$48$ |
$0$ |
$5.307935083$ |
$4$ |
$2$ |
$5$ |
$21233664$ |
$2.910286$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.72480$ |
$[0, -1, 0, -7787201, -7496977215]$ |
\(y^2=x^3-x^2-7787201x-7496977215\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 68.24.0-68.b.1.4, 136.48.0.? |
$[(-1617, 29400)]$ |
277440.fc2 |
277440fc2 |
277440.fc |
277440fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.8 |
2Cs |
$136$ |
$48$ |
$0$ |
$6.956167216$ |
$1$ |
|
$3$ |
$21233664$ |
$2.910286$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.72480$ |
$[0, 1, 0, -7787201, 7496977215]$ |
\(y^2=x^3+x^2-7787201x+7496977215\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 68.24.0-68.b.1.4, 136.48.0.? |
$[(2311/3, 2004992/3)]$ |
308550.hy2 |
308550hy2 |
308550.hy |
308550hy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$7480$ |
$48$ |
$0$ |
$1.360736079$ |
$1$ |
|
$12$ |
$11796480$ |
$2.457626$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.25532$ |
$[1, 0, 0, -1273588, 495923792]$ |
\(y^2+xy=x^3-1273588x+495923792\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 136.24.0.?, 220.12.0.?, $\ldots$ |
$[(362, 8894)]$ |
346800.lh2 |
346800lh2 |
346800.lh |
346800lh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{10} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$680$ |
$48$ |
$0$ |
$9.661402332$ |
$1$ |
|
$3$ |
$63700992$ |
$3.368431$ |
$8253429989329/936360000$ |
$0.96220$ |
$5.07312$ |
$[0, 1, 0, -48670008, 117164603988]$ |
\(y^2=x^3+x^2-48670008x+117164603988\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$ |
$[(992148/19, 442916250/19)]$ |
374850.on2 |
374850on2 |
374850.on |
374850on |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$21233664$ |
$2.780941$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.49308$ |
$[1, -1, 1, -4641755, -3450179253]$ |
\(y^2+xy+y=x^3-x^2-4641755x-3450179253\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 136.24.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
424830.ff2 |
424830ff2 |
424830.ff |
424830ff |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$952$ |
$48$ |
$0$ |
$3.805933846$ |
$1$ |
|
$6$ |
$31850496$ |
$2.843521$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.50763$ |
$[1, 1, 1, -5962076, 5021643773]$ |
\(y^2+xy+y=x^3+x^2-5962076x+5021643773\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.3, 68.12.0.b.1, $\ldots$ |
$[(1821, 13489)]$ |
428910.w2 |
428910w2 |
428910.w |
428910w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$3944$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9633792$ |
$2.137608$ |
$8253429989329/936360000$ |
$0.96220$ |
$3.85114$ |
$[1, 0, 1, -354079, -72742798]$ |
\(y^2+xy+y=x^3-354079x-72742798\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 116.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
430950.gv2 |
430950gv2 |
430950.gv |
430950gv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$8840$ |
$48$ |
$0$ |
$2.588444095$ |
$1$ |
|
$8$ |
$21233664$ |
$2.541153$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.22299$ |
$[1, 0, 0, -1778813, -818914383]$ |
\(y^2+xy=x^3-1778813x-818914383\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 136.24.0.?, 260.12.0.?, $\ldots$ |
$[(-584, 4855)]$ |
490110.ck2 |
490110ck2 |
490110.ck |
490110ck |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 17^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$4216$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$11612160$ |
$2.170952$ |
$8253429989329/936360000$ |
$0.96220$ |
$3.84247$ |
$[1, 0, 0, -404601, 88785081]$ |
\(y^2+xy=x^3-404601x+88785081\) |
2.6.0.a.1, 8.12.0.b.1, 68.12.0.b.1, 124.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
493680.dx2 |
493680dx2 |
493680.dx |
493680dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1496$ |
$48$ |
$0$ |
$6.455845549$ |
$1$ |
|
$19$ |
$11796480$ |
$2.346054$ |
$8253429989329/936360000$ |
$0.96220$ |
$4.00063$ |
$[0, 1, 0, -815096, -254239020]$ |
\(y^2=x^3+x^2-815096x-254239020\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$ |
$[(-620, 3630), (-428, 4050)]$ |