| 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 |
| 254320.a1 |
254320a1 |
254320.a |
254320a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{21} \cdot 5^{5} \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$2.888852466$ |
$1$ |
|
$2$ |
$19906560$ |
$2.615993$ |
$-72043225281/3291200000$ |
$0.95685$ |
$4.39477$ |
$[0, 0, 0, -400843, -873364358]$ |
\(y^2=x^3-400843x-873364358\) |
680.2.0.? |
$[(1343, 31790)]$ |
| 254320.b1 |
254320b1 |
254320.b |
254320b |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3265920$ |
$1.830200$ |
$-219633107337216/304487046875$ |
$1.22786$ |
$3.65224$ |
$[0, 0, 0, -52768, 8597308]$ |
\(y^2=x^3-52768x+8597308\) |
22.2.0.a.1 |
$[]$ |
| 254320.c1 |
254320c1 |
254320.c |
254320c |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1607040$ |
$1.585506$ |
$255688704/4026275$ |
$1.04382$ |
$3.39668$ |
$[0, 0, 0, 9248, 1752496]$ |
\(y^2=x^3+9248x+1752496\) |
22.2.0.a.1 |
$[]$ |
| 254320.d1 |
254320d1 |
254320.d |
254320d |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{35} \cdot 5 \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$2.498439305$ |
$1$ |
|
$2$ |
$61046784$ |
$3.342667$ |
$-5527291469021688969/86276833280$ |
$0.99152$ |
$5.50148$ |
$[0, 0, 0, -170325907, 855608392786]$ |
\(y^2=x^3-170325907x+855608392786\) |
680.2.0.? |
$[(12921, 901120)]$ |
| 254320.e1 |
254320e4 |
254320.e |
254320e |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4478976$ |
$2.131058$ |
$154639330142416/33275$ |
$0.97344$ |
$4.43637$ |
$[0, 1, 0, -2051996, 1130707480]$ |
\(y^2=x^3+x^2-2051996x+1130707480\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[]$ |
| 254320.e2 |
254320e3 |
254320.e |
254320e |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2239488$ |
$1.784483$ |
$610462990336/8857805$ |
$1.02612$ |
$3.76892$ |
$[0, 1, 0, -128701, 17504334]$ |
\(y^2=x^3+x^2-128701x+17504334\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[]$ |
| 254320.e3 |
254320e2 |
254320.e |
254320e |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1492992$ |
$1.581751$ |
$436334416/171875$ |
$0.87819$ |
$3.40970$ |
$[0, 1, 0, -28996, 1064280]$ |
\(y^2=x^3+x^2-28996x+1064280\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[]$ |
| 254320.e4 |
254320e1 |
254320.e |
254320e |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$746496$ |
$1.235178$ |
$643956736/15125$ |
$0.96705$ |
$3.21821$ |
$[0, 1, 0, -13101, -569726]$ |
\(y^2=x^3+x^2-13101x-569726\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[]$ |
| 254320.f1 |
254320f1 |
254320.f |
254320f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11 \cdot 17^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$11.74086531$ |
$1$ |
|
$2$ |
$3870720$ |
$2.227985$ |
$-583396135936/390460675$ |
$0.87128$ |
$4.04979$ |
$[0, 1, 0, -319441, -102156405]$ |
\(y^2=x^3+x^2-319441x-102156405\) |
374.2.0.? |
$[(280502, 148560665)]$ |
| 254320.g1 |
254320g1 |
254320.g |
254320g |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 11^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$30357504$ |
$3.022392$ |
$-251784668965666816/353546875$ |
$0.98443$ |
$5.25330$ |
$[0, 1, 0, -60830261, -182631793565]$ |
\(y^2=x^3+x^2-60830261x-182631793565\) |
3.4.0.a.1, 132.8.0.?, 204.8.0.?, 374.2.0.?, 1122.8.0.?, $\ldots$ |
$[]$ |
| 254320.g2 |
254320g2 |
254320.g |
254320g |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 11^{9} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$91072512$ |
$3.571697$ |
$-99546392709922816/289614925147075$ |
$1.08051$ |
$5.32307$ |
$[0, 1, 0, -44646261, -281910923165]$ |
\(y^2=x^3+x^2-44646261x-281910923165\) |
3.4.0.a.1, 132.8.0.?, 204.8.0.?, 374.2.0.?, 1122.8.0.?, $\ldots$ |
$[]$ |
| 254320.h1 |
254320h1 |
254320.h |
254320h |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1.365899345$ |
$1$ |
|
$14$ |
$1824768$ |
$1.731695$ |
$-7710244864/565675$ |
$0.93907$ |
$3.65004$ |
$[0, 1, 0, -75525, -8505377]$ |
\(y^2=x^3+x^2-75525x-8505377\) |
3.4.0.a.1, 132.8.0.?, 204.8.0.?, 374.2.0.?, 1122.8.0.?, $\ldots$ |
$[(1031, 31790), (351, 2890)]$ |
| 254320.h2 |
254320h2 |
254320.h |
254320h |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1.365899345$ |
$1$ |
|
$12$ |
$5474304$ |
$2.281002$ |
$1454115454976/844421875$ |
$1.02088$ |
$4.06142$ |
$[0, 1, 0, 433115, -6318225]$ |
\(y^2=x^3+x^2+433115x-6318225\) |
3.4.0.a.1, 132.8.0.?, 204.8.0.?, 374.2.0.?, 1122.8.0.?, $\ldots$ |
$[(1235, 49130), (8395/3, 939250/3)]$ |
| 254320.i1 |
254320i1 |
254320.i |
254320i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 11 \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.495033$ |
$-262144/4675$ |
$1.01736$ |
$3.31452$ |
$[0, 1, 0, -6165, 1048963]$ |
\(y^2=x^3+x^2-6165x+1048963\) |
374.2.0.? |
$[]$ |
| 254320.j1 |
254320j1 |
254320.j |
254320j |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{18} \cdot 5 \cdot 11^{8} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$20.47661187$ |
$1$ |
|
$0$ |
$35251200$ |
$3.347286$ |
$54742641046271/68594841920$ |
$0.94961$ |
$5.04325$ |
$[0, -1, 0, 24183424, -49420427264]$ |
\(y^2=x^3-x^2+24183424x-49420427264\) |
20.2.0.a.1 |
$[(175113617562/2317, 74054442202964938/2317)]$ |
| 254320.k1 |
254320k1 |
254320.k |
254320k |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$5.104320738$ |
$1$ |
|
$2$ |
$2937600$ |
$2.103542$ |
$81807536/378125$ |
$0.81388$ |
$3.88667$ |
$[0, -1, 0, 109724, -37014724]$ |
\(y^2=x^3-x^2+109724x-37014724\) |
20.2.0.a.1 |
$[(265, 3256)]$ |
| 254320.l1 |
254320l1 |
254320.l |
254320l |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{27} \cdot 5^{5} \cdot 11^{4} \cdot 17^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$680$ |
$48$ |
$1$ |
$44.43625017$ |
$1$ |
|
$0$ |
$331776000$ |
$4.532921$ |
$-1606220241149825308027441/2128704136908800000$ |
$1.01195$ |
$6.51237$ |
$[0, -1, 0, -11281797136, -461751936729664]$ |
\(y^2=x^3-x^2-11281797136x-461751936729664\) |
5.12.0.a.1, 40.24.0-5.a.1.8, 340.24.0.?, 680.48.1.? |
$[(3937846696810209049058/48587731, 246594910451040008375799466241474/48587731)]$ |
| 254320.l2 |
254320l2 |
254320.l |
254320l |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{15} \cdot 5 \cdot 11^{20} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$8.887250034$ |
$1$ |
|
$0$ |
$1658880000$ |
$5.337639$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.98409$ |
$[0, -1, 0, 79919204464, 5392030330357696]$ |
\(y^2=x^3-x^2+79919204464x+5392030330357696\) |
5.12.0.a.2, 40.24.0-5.a.2.8, 340.24.0.?, 680.48.1.? |
$[(35041167938/29, 6559607692860574/29)]$ |
| 254320.m1 |
254320m1 |
254320.m |
254320m |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$352512$ |
$1.141308$ |
$-126100646224/605$ |
$0.88554$ |
$3.40971$ |
$[0, -1, 0, -28996, -1890820]$ |
\(y^2=x^3-x^2-28996x-1890820\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 20.2.0.a.1, 30.8.0-3.a.1.1, 60.16.0-60.a.1.4 |
$[]$ |
| 254320.m2 |
254320m2 |
254320.m |
254320m |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11^{6} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1057536$ |
$1.690615$ |
$-27419122384/221445125$ |
$0.92844$ |
$3.50445$ |
$[0, -1, 0, -17436, -3421364]$ |
\(y^2=x^3-x^2-17436x-3421364\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 20.2.0.a.1, 30.8.0-3.a.1.2, 60.16.0-60.a.1.1 |
$[]$ |
| 254320.n1 |
254320n2 |
254320.n |
254320n |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{13} \cdot 5 \cdot 11^{5} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7480$ |
$48$ |
$1$ |
$0.742614760$ |
$1$ |
|
$6$ |
$10560000$ |
$2.754829$ |
$-23178622194826561/1610510$ |
$1.01294$ |
$5.06165$ |
$[0, -1, 0, -27466656, 55415159680]$ |
\(y^2=x^3-x^2-27466656x+55415159680\) |
5.12.0.a.2, 340.24.0.?, 440.24.1.?, 7480.48.1.? |
$[(3016, 968)]$ |
| 254320.n2 |
254320n1 |
254320.n |
254320n |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{5} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$7480$ |
$48$ |
$1$ |
$3.713073804$ |
$1$ |
|
$2$ |
$2112000$ |
$1.950111$ |
$109902239/1100000$ |
$0.94438$ |
$3.74592$ |
$[0, -1, 0, 46144, 15385600]$ |
\(y^2=x^3-x^2+46144x+15385600\) |
5.12.0.a.1, 340.24.0.?, 440.24.1.?, 7480.48.1.? |
$[(-64, 3488)]$ |
| 254320.o1 |
254320o2 |
254320.o |
254320o |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$4.595858660$ |
$1$ |
|
$2$ |
$6345216$ |
$2.447174$ |
$-5050365927424/171875$ |
$0.93000$ |
$4.61673$ |
$[0, -1, 0, -4336541, 3477416305]$ |
\(y^2=x^3-x^2-4336541x+3477416305\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(1205, 350)]$ |
| 254320.o2 |
254320o1 |
254320.o |
254320o |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.531952886$ |
$1$ |
|
$2$ |
$2115072$ |
$1.897867$ |
$-139264/33275$ |
$0.88527$ |
$3.70234$ |
$[0, -1, 0, -13101, 11746801]$ |
\(y^2=x^3-x^2-13101x+11746801\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(193, 4046)]$ |
| 254320.p1 |
254320p1 |
254320.p |
254320p |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$4.014846725$ |
$1$ |
|
$2$ |
$93312$ |
$0.338654$ |
$-557056/275$ |
$0.71891$ |
$2.23611$ |
$[0, -1, 0, -181, -1219]$ |
\(y^2=x^3-x^2-181x-1219\) |
22.2.0.a.1 |
$[(116, 1235)]$ |
| 254320.q1 |
254320q1 |
254320.q |
254320q |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{17} \cdot 5 \cdot 11^{4} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$2.373333$ |
$-2796665386969/39823520$ |
$0.88184$ |
$4.33869$ |
$[0, -1, 0, -1357240, -615591568]$ |
\(y^2=x^3-x^2-1357240x-615591568\) |
680.2.0.? |
$[]$ |
| 254320.r1 |
254320r1 |
254320.r |
254320r |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 11 \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$13.90691130$ |
$1$ |
|
$0$ |
$2741760$ |
$2.241657$ |
$-1183744/275$ |
$0.74107$ |
$4.09530$ |
$[0, -1, 0, -445445, 135613357]$ |
\(y^2=x^3-x^2-445445x+135613357\) |
22.2.0.a.1 |
$[(1003649/64, 1680935105/64)]$ |
| 254320.s1 |
254320s1 |
254320.s |
254320s |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{14} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20563200$ |
$3.109528$ |
$6688860068864/67138671875$ |
$0.96319$ |
$4.86378$ |
$[0, -1, 0, 4762335, 16170466237]$ |
\(y^2=x^3-x^2+4762335x+16170466237\) |
22.2.0.a.1 |
$[]$ |
| 254320.t1 |
254320t1 |
254320.t |
254320t |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$12.65560950$ |
$1$ |
|
$0$ |
$998784$ |
$1.596045$ |
$-8912896/275$ |
$0.81590$ |
$3.55653$ |
$[0, -1, 0, -52405, -4721575]$ |
\(y^2=x^3-x^2-52405x-4721575\) |
22.2.0.a.1 |
$[(940505/59, 180153650/59)]$ |
| 254320.u1 |
254320u1 |
254320.u |
254320u |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{22} \cdot 5^{7} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$2.981409757$ |
$1$ |
|
$2$ |
$4354560$ |
$2.194508$ |
$-3759529209744889/1171280000000$ |
$0.96043$ |
$4.03958$ |
$[0, -1, 0, -342680, -95651600]$ |
\(y^2=x^3-x^2-342680x-95651600\) |
20.2.0.a.1 |
$[(1370, 44770)]$ |
| 254320.v1 |
254320v2 |
254320.v |
254320v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{15} \cdot 5^{2} \cdot 11^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7480$ |
$12$ |
$0$ |
$1.856417555$ |
$1$ |
|
$3$ |
$4644864$ |
$2.347576$ |
$42002659053081/411400$ |
$0.95878$ |
$4.55441$ |
$[0, 0, 0, -3348643, 2358564258]$ |
\(y^2=x^3-3348643x+2358564258\) |
2.3.0.a.1, 136.6.0.?, 220.6.0.?, 7480.12.0.? |
$[(1207, 8670)]$ |
| 254320.v2 |
254320v1 |
254320.v |
254320v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{18} \cdot 5 \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7480$ |
$12$ |
$0$ |
$3.712835111$ |
$1$ |
|
$1$ |
$2322432$ |
$2.001003$ |
$-9541617561/1017280$ |
$0.84580$ |
$3.89392$ |
$[0, 0, 0, -204323, 38684962]$ |
\(y^2=x^3-204323x+38684962\) |
2.3.0.a.1, 110.6.0.?, 136.6.0.?, 7480.12.0.? |
$[(2482/3, 49130/3)]$ |
| 254320.w1 |
254320w2 |
254320.w |
254320w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{23} \cdot 5^{4} \cdot 11^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$183828480$ |
$4.287338$ |
$705713043507894297/274379367680000$ |
$1.06744$ |
$6.01901$ |
$[0, 0, 0, -1458035923, -12275580992622]$ |
\(y^2=x^3-1458035923x-12275580992622\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 254320.w2 |
254320w1 |
254320.w |
254320w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{34} \cdot 5^{2} \cdot 11^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$91914240$ |
$3.940765$ |
$63422386460383257/1535220121600$ |
$1.04275$ |
$5.82543$ |
$[0, 0, 0, -653090003, 6288242803602]$ |
\(y^2=x^3-653090003x+6288242803602\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 254320.x1 |
254320x3 |
254320.x |
254320x |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{3} \cdot 11^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$7480$ |
$48$ |
$0$ |
$2.711685190$ |
$1$ |
|
$5$ |
$9732096$ |
$2.797482$ |
$40301032281655122/31112125$ |
$0.99483$ |
$5.05040$ |
$[0, 0, 0, -26214323, 51660165522]$ |
\(y^2=x^3-26214323x+51660165522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 340.12.0.?, 440.24.0.?, $\ldots$ |
$[(2669, 26588)]$ |
| 254320.x2 |
254320x4 |
254320.x |
254320x |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{12} \cdot 11 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$7480$ |
$48$ |
$0$ |
$10.84674076$ |
$1$ |
|
$1$ |
$9732096$ |
$2.797482$ |
$123831683830962/45654296875$ |
$1.00750$ |
$4.58559$ |
$[0, 0, 0, -3811043, -1725121342]$ |
\(y^2=x^3-3811043x-1725121342\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 440.24.0.?, 680.24.0.?, $\ldots$ |
$[(-76873/7, 6795258/7)]$ |
| 254320.x3 |
254320x2 |
254320.x |
254320x |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{6} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$7480$ |
$48$ |
$0$ |
$5.423370381$ |
$1$ |
|
$5$ |
$4866048$ |
$2.450909$ |
$20074621850244/546390625$ |
$1.01601$ |
$4.38371$ |
$[0, 0, 0, -1649323, 795876522]$ |
\(y^2=x^3-1649323x+795876522\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 220.12.0.?, 340.12.0.?, 440.24.0.?, $\ldots$ |
$[(637, 1932)]$ |
| 254320.x4 |
254320x1 |
254320.x |
254320x |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$7480$ |
$48$ |
$0$ |
$10.84674076$ |
$1$ |
|
$1$ |
$2433024$ |
$2.104336$ |
$168055344/114841375$ |
$0.93873$ |
$3.90134$ |
$[0, 0, 0, 21097, 40512598]$ |
\(y^2=x^3+21097x+40512598\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 110.6.0.?, 220.12.0.?, $\ldots$ |
$[(100777/3, 31995208/3)]$ |
| 254320.y1 |
254320y4 |
254320.y |
254320y |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{4} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1179648$ |
$1.824089$ |
$22930509321/6875$ |
$1.07717$ |
$3.95078$ |
$[0, 0, 0, -273683, -55094382]$ |
\(y^2=x^3-273683x-55094382\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0.h.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 254320.y2 |
254320y3 |
254320.y |
254320y |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{12} \cdot 5 \cdot 11^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.824089$ |
$2749884201/73205$ |
$0.94591$ |
$3.78038$ |
$[0, 0, 0, -134963, 18639922]$ |
\(y^2=x^3-134963x+18639922\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 254320.y3 |
254320y2 |
254320.y |
254320y |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3740$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$1.477514$ |
$8120601/3025$ |
$1.05560$ |
$3.31237$ |
$[0, 0, 0, -19363, -619038]$ |
\(y^2=x^3-19363x-619038\) |
2.6.0.a.1, 20.12.0.b.1, 44.12.0.a.1, 68.12.0-2.a.1.1, 220.24.0.?, $\ldots$ |
$[]$ |
| 254320.y4 |
254320y1 |
254320.y |
254320y |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.130941$ |
$59319/55$ |
$0.79207$ |
$2.91714$ |
$[0, 0, 0, 3757, -68782]$ |
\(y^2=x^3+3757x-68782\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 88.12.0.?, 110.6.0.?, $\ldots$ |
$[]$ |
| 254320.z1 |
254320z1 |
254320.z |
254320z |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{15} \cdot 5^{4} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$3.355486303$ |
$1$ |
|
$2$ |
$145152$ |
$0.756087$ |
$-3148281/55000$ |
$0.86412$ |
$2.60210$ |
$[0, 0, 0, -323, -12478]$ |
\(y^2=x^3-323x-12478\) |
88.2.0.? |
$[(271, 4450)]$ |
| 254320.ba1 |
254320ba3 |
254320.ba |
254320ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{3} \cdot 11^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$14960$ |
$192$ |
$3$ |
$16.65083311$ |
$1$ |
|
$1$ |
$10616832$ |
$2.684711$ |
$46424454082884/26794860125$ |
$1.13955$ |
$4.45107$ |
$[0, 0, 0, -2181083, 63800218]$ |
\(y^2=x^3-2181083x+63800218\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(-26578731/157, 131911957292/157)]$ |
| 254320.ba2 |
254320ba2 |
254320.ba |
254320ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$7480$ |
$192$ |
$3$ |
$33.30166622$ |
$1$ |
|
$3$ |
$5308416$ |
$2.338139$ |
$55537159171536/228765625$ |
$1.14096$ |
$4.35409$ |
$[0, 0, 0, -1458583, -675606282]$ |
\(y^2=x^3-1458583x-675606282\) |
2.6.0.a.1, 4.12.0.a.1, 20.24.0.b.1, 40.48.0.g.1, 68.24.0-4.a.1.1, $\ldots$ |
$[(-1058758966005247/1242341, 2812935349584277147776/1242341)]$ |
| 254320.ba3 |
254320ba1 |
254320.ba |
254320ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$14960$ |
$192$ |
$3$ |
$66.60333245$ |
$1$ |
|
$1$ |
$2654208$ |
$1.991566$ |
$885956203616256/15125$ |
$1.05882$ |
$4.35385$ |
$[0, 0, 0, -1457138, -677016313]$ |
\(y^2=x^3-1457138x-677016313\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(1002442225191265743546566283161/24823253136448, 542519028465132921635375332454243706375367869/24823253136448)]$ |
| 254320.ba4 |
254320ba4 |
254320.ba |
254320ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{12} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$14960$ |
$192$ |
$3$ |
$16.65083311$ |
$1$ |
|
$1$ |
$10616832$ |
$2.684711$ |
$-1957960715364/29541015625$ |
$1.10389$ |
$4.46172$ |
$[0, 0, 0, -759203, -1324770798]$ |
\(y^2=x^3-759203x-1324770798\) |
2.3.0.a.1, 4.12.0.d.1, 40.24.0.w.1, 44.24.0.d.1, 68.24.0-4.d.1.1, $\ldots$ |
$[(928639841/208, 28273769197201/208)]$ |
| 254320.bb1 |
254320bb1 |
254320.bb |
254320bb |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{15} \cdot 5^{4} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2467584$ |
$2.172695$ |
$-3148281/55000$ |
$0.86412$ |
$3.96790$ |
$[0, 0, 0, -93347, -61304414]$ |
\(y^2=x^3-93347x-61304414\) |
88.2.0.? |
$[]$ |
| 254320.bc1 |
254320bc1 |
254320.bc |
254320bc |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$1.216181$ |
$379275264/15125$ |
$1.01554$ |
$3.17568$ |
$[0, 0, 0, -10982, 427431]$ |
\(y^2=x^3-10982x+427431\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
| 254320.bc2 |
254320bc2 |
254320.bc |
254320bc |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$1.562754$ |
$2122416/171875$ |
$1.06651$ |
$3.37822$ |
$[0, 0, 0, 4913, 1562334]$ |
\(y^2=x^3+4913x+1562334\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
