| 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 |
| 116688.a1 |
116688k1 |
116688.a |
116688k |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{26} \cdot 3^{2} \cdot 11^{4} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3612672$ |
$2.298733$ |
$6793805286030262681/1048227429629952$ |
$0.98644$ |
$4.42952$ |
$[0, -1, 0, -631320, -165133584]$ |
\(y^2=x^3-x^2-631320x-165133584\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 116688.a2 |
116688k2 |
116688.a |
116688k |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{19} \cdot 3^{4} \cdot 11^{8} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7225344$ |
$2.645306$ |
$35862531227445945959/108547797844556928$ |
$1.00994$ |
$4.69573$ |
$[0, -1, 0, 1099240, -912735504]$ |
\(y^2=x^3-x^2+1099240x-912735504\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 116688.b1 |
116688b1 |
116688.b |
116688b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{4} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29417472$ |
$3.427811$ |
$11655514380177716143596484/4227342326200281870153$ |
$1.00524$ |
$5.54109$ |
$[0, -1, 0, -47610480, 77268656016]$ |
\(y^2=x^3-x^2-47610480x+77268656016\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 116688.b2 |
116688b2 |
116688.b |
116688b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{8} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$58834944$ |
$3.774384$ |
$166203951747585136129344238/158911195355141246481321$ |
$1.01819$ |
$5.82826$ |
$[0, -1, 0, 145461880, 545276056656]$ |
\(y^2=x^3-x^2+145461880x+545276056656\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 116688.c1 |
116688d2 |
116688.c |
116688d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{14} \cdot 11^{2} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.156136467$ |
$1$ |
|
$5$ |
$1806336$ |
$2.233841$ |
$1199188932400332409552/367460647585317$ |
$0.95892$ |
$4.63529$ |
$[0, -1, 0, -1405404, -640645200]$ |
\(y^2=x^3-x^2-1405404x-640645200\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-692, 204)]$ |
| 116688.c2 |
116688d1 |
116688.c |
116688d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 11^{4} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$6.312272935$ |
$1$ |
|
$3$ |
$903168$ |
$1.887268$ |
$-3060547801156175872/2627414297644851$ |
$0.96144$ |
$3.96386$ |
$[0, -1, 0, -76219, -12738206]$ |
\(y^2=x^3-x^2-76219x-12738206\) |
2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.? |
$[(374, 3306)]$ |
| 116688.d1 |
116688n1 |
116688.d |
116688n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23424$ |
$-0.115636$ |
$686000/7293$ |
$0.68213$ |
$1.87178$ |
$[0, -1, 0, 12, 60]$ |
\(y^2=x^3-x^2+12x+60\) |
29172.2.0.? |
$[]$ |
| 116688.e1 |
116688p2 |
116688.e |
116688p |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{5} \cdot 11^{3} \cdot 13 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29172$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2954880$ |
$2.623184$ |
$-11355430171368393250000/498618024567704613$ |
$1.00125$ |
$4.83424$ |
$[0, -1, 0, -2973308, 2047856460]$ |
\(y^2=x^3-x^2-2973308x+2047856460\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 14586.8.0.?, 29172.16.0.? |
$[]$ |
| 116688.e2 |
116688p1 |
116688.e |
116688p |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{15} \cdot 11 \cdot 13^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29172$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$984960$ |
$2.073875$ |
$2766056134796750000/1703681184259197$ |
$1.00179$ |
$4.11486$ |
$[0, -1, 0, 185692, 7748988]$ |
\(y^2=x^3-x^2+185692x+7748988\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 14586.8.0.?, 29172.16.0.? |
$[]$ |
| 116688.f1 |
116688o1 |
116688.f |
116688o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 11 \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29172$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1047168$ |
$2.067280$ |
$-28482130972727110546000/11092653$ |
$0.97155$ |
$4.90679$ |
$[0, -1, 0, -4039828, -3123958916]$ |
\(y^2=x^3-x^2-4039828x-3123958916\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 14586.8.0.?, 29172.16.0.? |
$[]$ |
| 116688.f2 |
116688o2 |
116688.f |
116688o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 11^{3} \cdot 13^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29172$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3141504$ |
$2.616585$ |
$-28332644210392032898000/208034922340259157$ |
$0.97166$ |
$4.90742$ |
$[0, -1, 0, -4032748, -3135461492]$ |
\(y^2=x^3-x^2-4032748x-3135461492\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 14586.8.0.?, 29172.16.0.? |
$[]$ |
| 116688.g1 |
116688q2 |
116688.g |
116688q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3 \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$159744$ |
$1.022360$ |
$58949987938000/2145243243$ |
$0.85943$ |
$3.19294$ |
$[0, -1, 0, -5148, -135924]$ |
\(y^2=x^3-x^2-5148x-135924\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 116688.g2 |
116688q1 |
116688.g |
116688q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$79872$ |
$0.675786$ |
$3718856704000/1182406797$ |
$0.90782$ |
$2.71846$ |
$[0, -1, 0, -813, 6264]$ |
\(y^2=x^3-x^2-813x+6264\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 116688.h1 |
116688m3 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{36} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$10948608$ |
$3.125214$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.56732$ |
$[0, -1, 0, -52723528, 147344310256]$ |
\(y^2=x^3-x^2-52723528x+147344310256\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 116688.h2 |
116688m4 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{24} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$21897216$ |
$3.471786$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.60131$ |
$[0, -1, 0, -47152968, 179689209840]$ |
\(y^2=x^3-x^2-47152968x+179689209840\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 68.6.0.a.1, $\ldots$ |
$[]$ |
| 116688.h3 |
116688m1 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{20} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3649536$ |
$2.575909$ |
$111675519439697265625/37528570137307392$ |
$1.12088$ |
$4.66947$ |
$[0, -1, 0, -1605208, -506351120]$ |
\(y^2=x^3-x^2-1605208x-506351120\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 116688.h4 |
116688m2 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7299072$ |
$2.922482$ |
$2773679829880629422375/2899504554614368272$ |
$0.98697$ |
$4.94480$ |
$[0, -1, 0, 4683432, -3504774672]$ |
\(y^2=x^3-x^2+4683432x-3504774672\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 68.6.0.a.1, $\ldots$ |
$[]$ |
| 116688.i1 |
116688r1 |
116688.i |
116688r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{19} \cdot 3^{12} \cdot 11 \cdot 13 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$838656$ |
$1.771494$ |
$-1449073218392281/2811246362496$ |
$0.92302$ |
$3.83108$ |
$[0, -1, 0, -37720, -5870096]$ |
\(y^2=x^3-x^2-37720x-5870096\) |
1144.2.0.? |
$[]$ |
| 116688.j1 |
116688j1 |
116688.j |
116688j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$0.595444$ |
$18191447/2362932$ |
$0.84393$ |
$2.60930$ |
$[0, -1, 0, 88, -4752]$ |
\(y^2=x^3-x^2+88x-4752\) |
29172.2.0.? |
$[]$ |
| 116688.k1 |
116688a1 |
116688.k |
116688a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.987357232$ |
$1$ |
|
$0$ |
$2193408$ |
$2.318962$ |
$55485236508042386432/32137626273797187$ |
$1.04402$ |
$4.37188$ |
$[0, -1, 0, 504543, 3913533]$ |
\(y^2=x^3-x^2+504543x+3913533\) |
374.2.0.? |
$[(9789/2, 1008423/2)]$ |
| 116688.l1 |
116688s4 |
116688.l |
116688s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{4} \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$983040$ |
$2.058346$ |
$8218157522273610913/3262914972603$ |
$0.94925$ |
$4.44583$ |
$[0, -1, 0, -672672, 212501952]$ |
\(y^2=x^3-x^2-672672x+212501952\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 1144.24.0.?, 3432.48.0.? |
$[]$ |
| 116688.l2 |
116688s3 |
116688.l |
116688s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 11 \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$983040$ |
$2.058346$ |
$1231708064988053953/26933399479701$ |
$1.02282$ |
$4.28316$ |
$[0, -1, 0, -357312, -80521920]$ |
\(y^2=x^3-x^2-357312x-80521920\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
| 116688.l3 |
116688s2 |
116688.l |
116688s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{2} \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$491520$ |
$1.711771$ |
$3067396672113073/1245074357241$ |
$0.96142$ |
$3.76930$ |
$[0, -1, 0, -48432, 2257920]$ |
\(y^2=x^3-x^2-48432x+2257920\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 572.24.0.?, 1716.48.0.? |
$[]$ |
| 116688.l4 |
116688s1 |
116688.l |
116688s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{12} \cdot 11 \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.365198$ |
$26100282937247/21962862207$ |
$0.89496$ |
$3.36075$ |
$[0, -1, 0, 9888, 251712]$ |
\(y^2=x^3-x^2+9888x+251712\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 286.6.0.?, 572.24.0.?, $\ldots$ |
$[]$ |
| 116688.m1 |
116688c2 |
116688.m |
116688c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1.436388516$ |
$1$ |
|
$5$ |
$118784$ |
$0.863459$ |
$253526452425808/4091373$ |
$0.87048$ |
$3.31797$ |
$[0, -1, 0, -8372, 297648]$ |
\(y^2=x^3-x^2-8372x+297648\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(56, 36)]$ |
| 116688.m2 |
116688c1 |
116688.m |
116688c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 11^{4} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$2.872777032$ |
$1$ |
|
$3$ |
$59392$ |
$0.516885$ |
$-902576293888/126190779$ |
$0.89321$ |
$2.61565$ |
$[0, -1, 0, -507, 5070]$ |
\(y^2=x^3-x^2-507x+5070\) |
2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.? |
$[(10, 30)]$ |
| 116688.n1 |
116688l1 |
116688.n |
116688l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.144527749$ |
$1$ |
|
$3$ |
$153600$ |
$0.821900$ |
$90458382169/25788048$ |
$0.96781$ |
$2.87522$ |
$[0, -1, 0, -1496, 16368]$ |
\(y^2=x^3-x^2-1496x+16368\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-38, 130)]$ |
| 116688.n2 |
116688l2 |
116688.n |
116688l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{2} \cdot 11^{2} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$4.289055499$ |
$1$ |
|
$3$ |
$307200$ |
$1.168474$ |
$1656015369191/2114999172$ |
$0.87319$ |
$3.14052$ |
$[0, -1, 0, 3944, 103408]$ |
\(y^2=x^3-x^2+3944x+103408\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(802, 22770)]$ |
| 116688.o1 |
116688t1 |
116688.o |
116688t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$571392$ |
$1.387394$ |
$4801049335176577024/6222978333$ |
$0.96851$ |
$3.92448$ |
$[0, -1, 0, -88561, 10173628]$ |
\(y^2=x^3-x^2-88561x+10173628\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.? |
$[]$ |
| 116688.o2 |
116688t2 |
116688.o |
116688t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{4} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1142784$ |
$1.733969$ |
$-292356586786125904/10812404517057$ |
$0.91877$ |
$3.92756$ |
$[0, -1, 0, -87796, 10357228]$ |
\(y^2=x^3-x^2-87796x+10357228\) |
2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.? |
$[]$ |
| 116688.p1 |
116688y4 |
116688.p |
116688y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{21} \cdot 3^{4} \cdot 11 \cdot 13^{12} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$226934784$ |
$4.621147$ |
$1748094148784980747354970849498497/887694600425282263291392$ |
$1.04320$ |
$7.27348$ |
$[0, 1, 0, -40154450304, 3097038281725620]$ |
\(y^2=x^3+x^2-40154450304x+3097038281725620\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 312.24.0.?, 3432.48.0.? |
$[]$ |
| 116688.p2 |
116688y3 |
116688.p |
116688y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{21} \cdot 3 \cdot 11 \cdot 13^{3} \cdot 17^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$226934784$ |
$4.621147$ |
$4474676144192042711273397261697/1806328356954994499451382272$ |
$1.04089$ |
$6.76198$ |
$[0, 1, 0, -5492869504, -86174552631628]$ |
\(y^2=x^3+x^2-5492869504x-86174552631628\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 116688.p3 |
116688y2 |
116688.p |
116688y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{30} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$113467392$ |
$4.274574$ |
$433744050935826360922067531137/9612122270219882316693504$ |
$1.05817$ |
$6.56195$ |
$[0, 1, 0, -2523228544, 47840592467636]$ |
\(y^2=x^3+x^2-2523228544x+47840592467636\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 156.24.0.?, 3432.48.0.? |
$[]$ |
| 116688.p4 |
116688y1 |
116688.p |
116688y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{48} \cdot 3 \cdot 11^{4} \cdot 13^{3} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$56733696$ |
$3.927998$ |
$79374649975090937760383/553856914190911653543936$ |
$1.10385$ |
$6.03772$ |
$[0, 1, 0, 14325376, 2291499603636]$ |
\(y^2=x^3+x^2+14325376x+2291499603636\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 78.6.0.?, 88.24.0.?, 156.24.0.?, $\ldots$ |
$[]$ |
| 116688.q1 |
116688v1 |
116688.q |
116688v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{34} \cdot 3^{7} \cdot 11^{5} \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5617920$ |
$2.808060$ |
$-5275941807135921123097/326485867713527808$ |
$0.97660$ |
$5.00861$ |
$[0, 1, 0, -5802904, -5662720108]$ |
\(y^2=x^3+x^2-5802904x-5662720108\) |
29172.2.0.? |
$[]$ |
| 116688.r1 |
116688z1 |
116688.r |
116688z |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{18} \cdot 3 \cdot 11 \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$117504$ |
$0.892673$ |
$-15124197817/78881088$ |
$0.85038$ |
$2.91938$ |
$[0, 1, 0, -824, -29100]$ |
\(y^2=x^3+x^2-824x-29100\) |
29172.2.0.? |
$[]$ |
| 116688.s1 |
116688bc1 |
116688.s |
116688bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{3} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.266290418$ |
$1$ |
|
$6$ |
$1082880$ |
$1.913792$ |
$-7315005991668416512/38160401310603$ |
$1.01708$ |
$4.19898$ |
$[0, 1, 0, -256789, 50225327]$ |
\(y^2=x^3+x^2-256789x+50225327\) |
374.2.0.? |
$[(359, 2106)]$ |
| 116688.t1 |
116688g4 |
116688.t |
116688g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{11} \cdot 3^{4} \cdot 11^{4} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$622592$ |
$1.556326$ |
$100350446414931074/3407151033$ |
$0.92365$ |
$4.00883$ |
$[0, 1, 0, -122944, 16550996]$ |
\(y^2=x^3+x^2-122944x+16550996\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 264.24.0.?, 4488.48.0.? |
$[]$ |
| 116688.t2 |
116688g2 |
116688.t |
116688g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$311296$ |
$1.209753$ |
$55802112308068/8988746481$ |
$0.87357$ |
$3.30706$ |
$[0, 1, 0, -8024, 232356]$ |
\(y^2=x^3+x^2-8024x+232356\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 136.24.0.?, 4488.48.0.? |
$[]$ |
| 116688.t3 |
116688g1 |
116688.t |
116688g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$155648$ |
$0.863179$ |
$4883664557392/465796617$ |
$0.83858$ |
$2.97946$ |
$[0, 1, 0, -2244, -38148]$ |
\(y^2=x^3+x^2-2244x-38148\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 66.6.0.a.1, 132.24.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
| 116688.t4 |
116688g3 |
116688.t |
116688g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{11} \cdot 3 \cdot 11 \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$622592$ |
$1.556326$ |
$161769988460446/457624934481$ |
$0.90955$ |
$3.57409$ |
$[0, 1, 0, 14416, 1318452]$ |
\(y^2=x^3+x^2+14416x+1318452\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
| 116688.u1 |
116688ba1 |
116688.u |
116688ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{25} \cdot 3^{4} \cdot 11^{7} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.363942359$ |
$1$ |
|
$4$ |
$3075072$ |
$2.573868$ |
$165568631260031/48580832601759744$ |
$1.05610$ |
$4.64501$ |
$[0, 1, 0, 18304, 678694068]$ |
\(y^2=x^3+x^2+18304x+678694068\) |
1144.2.0.? |
$[(106, 26112)]$ |
| 116688.v1 |
116688be1 |
116688.v |
116688be |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.079332597$ |
$1$ |
|
$3$ |
$43008$ |
$0.441445$ |
$733001728000/36822357$ |
$0.85798$ |
$2.57927$ |
$[0, 1, 0, -473, 3630]$ |
\(y^2=x^3+x^2-473x+3630\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.? |
$[(22, 66)]$ |
| 116688.v2 |
116688be2 |
116688.v |
116688be |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{4} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.158665195$ |
$1$ |
|
$3$ |
$86016$ |
$0.788019$ |
$10718750000/378572337$ |
$0.96379$ |
$2.80574$ |
$[0, 1, 0, 292, 14952]$ |
\(y^2=x^3+x^2+292x+14952\) |
2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.? |
$[(31, 234)]$ |
| 116688.w1 |
116688x1 |
116688.w |
116688x |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{18} \cdot 3^{4} \cdot 11^{2} \cdot 13^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$0.904150952$ |
$1$ |
|
$21$ |
$516096$ |
$1.633028$ |
$3047678972871625/304559880768$ |
$0.90943$ |
$3.76874$ |
$[0, 1, 0, -48328, 3703412]$ |
\(y^2=x^3+x^2-48328x+3703412\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(68, 858), (158, 192)]$ |
| 116688.w2 |
116688x2 |
116688.w |
116688x |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$0.904150952$ |
$1$ |
|
$25$ |
$1032192$ |
$1.979601$ |
$5783051584712375/37533175779528$ |
$0.94430$ |
$4.02282$ |
$[0, 1, 0, 59832, 18023796]$ |
\(y^2=x^3+x^2+59832x+18023796\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(270, 7344), (-36, 3978)]$ |
| 116688.x1 |
116688w1 |
116688.x |
116688w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{15} \cdot 11 \cdot 13^{2} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$189235200$ |
$4.689667$ |
$8131755985964161964448308988625/4491414222168968491132426977$ |
$1.05669$ |
$6.81318$ |
$[0, 1, 0, -6703066448, -45095778953004]$ |
\(y^2=x^3+x^2-6703066448x-45095778953004\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
| 116688.x2 |
116688w2 |
116688.x |
116688w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{30} \cdot 11^{2} \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$378470400$ |
$5.036247$ |
$481375691534989591168533139109375/291970430882721534414299079537$ |
$1.08859$ |
$7.16295$ |
$[0, 1, 0, 26124027392, -356388544418956]$ |
\(y^2=x^3+x^2+26124027392x-356388544418956\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
| 116688.y1 |
116688u1 |
116688.y |
116688u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3^{7} \cdot 11 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$0.969230647$ |
$1$ |
|
$7$ |
$1419264$ |
$2.177822$ |
$66342819962001390625/4812668669952$ |
$0.99193$ |
$4.62483$ |
$[0, 1, 0, -1349408, 602853876]$ |
\(y^2=x^3+x^2-1349408x+602853876\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(700, 1326)]$ |
| 116688.y2 |
116688u2 |
116688.y |
116688u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{18} \cdot 3^{14} \cdot 11^{2} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.938461294$ |
$1$ |
|
$5$ |
$2838528$ |
$2.524395$ |
$-54315282059491182625/17983956399469632$ |
$0.96250$ |
$4.64647$ |
$[0, 1, 0, -1262368, 684079604]$ |
\(y^2=x^3+x^2-1262368x+684079604\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(188, 21294)]$ |
