| 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 |
| 390402.a1 |
390402a2 |
390402.a |
390402a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{3} \cdot 3^{18} \cdot 23^{8} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7544$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$48660480$ |
$2.925991$ |
$303477995721601/92211390792$ |
$0.92482$ |
$4.56321$ |
$[1, -1, 0, -6665499, -4563123971]$ |
\(y^2+xy=x^3-x^2-6665499x-4563123971\) |
2.3.0.a.1, 92.6.0.?, 328.6.0.?, 7544.12.0.? |
$[ ]$ |
| 390402.a2 |
390402a1 |
390402.a |
390402a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{6} \cdot 3^{12} \cdot 23^{7} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7544$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24330240$ |
$2.579418$ |
$1528425711359/1803860928$ |
$0.89789$ |
$4.15525$ |
$[1, -1, 0, 1142541, -479519051]$ |
\(y^2+xy=x^3-x^2+1142541x-479519051\) |
2.3.0.a.1, 46.6.0.a.1, 328.6.0.?, 7544.12.0.? |
$[ ]$ |
| 390402.b1 |
390402b1 |
390402.b |
390402b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 23^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$18450432$ |
$2.774963$ |
$-15658211002295233/8328576$ |
$0.93892$ |
$4.86949$ |
$[1, -1, 0, -24814431, -47571644979]$ |
\(y^2+xy=x^3-x^2-24814431x-47571644979\) |
984.2.0.? |
$[ ]$ |
| 390402.c1 |
390402c4 |
390402.c |
390402c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2 \cdot 3^{14} \cdot 23^{6} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$22632$ |
$48$ |
$0$ |
$5.127362739$ |
$1$ |
|
$2$ |
$9732096$ |
$2.280197$ |
$9357915116017/538002$ |
$0.98265$ |
$4.29298$ |
$[1, -1, 0, -2090178, -1162535814]$ |
\(y^2+xy=x^3-x^2-2090178x-1162535814\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 328.24.0.?, 552.24.0.?, $\ldots$ |
$[(3717, 204084)]$ |
| 390402.c2 |
390402c2 |
390402.c |
390402c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{10} \cdot 23^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$22632$ |
$48$ |
$0$ |
$2.563681369$ |
$1$ |
|
$8$ |
$4866048$ |
$1.933622$ |
$2703045457/544644$ |
$0.99714$ |
$3.66000$ |
$[1, -1, 0, -138168, -15925140]$ |
\(y^2+xy=x^3-x^2-138168x-15925140\) |
2.6.0.a.1, 8.12.0.b.1, 164.12.0.?, 276.12.0.?, 328.24.0.?, $\ldots$ |
$[(543, 8031)]$ |
| 390402.c3 |
390402c1 |
390402.c |
390402c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{8} \cdot 23^{6} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$22632$ |
$48$ |
$0$ |
$1.281840684$ |
$1$ |
|
$7$ |
$2433024$ |
$1.587048$ |
$81182737/5904$ |
$0.95826$ |
$3.38773$ |
$[1, -1, 0, -42948, 3214080]$ |
\(y^2+xy=x^3-x^2-42948x+3214080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 82.6.0.?, 164.12.0.?, $\ldots$ |
$[(52, 1032)]$ |
| 390402.c4 |
390402c3 |
390402.c |
390402c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2 \cdot 3^{8} \cdot 23^{6} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$22632$ |
$48$ |
$0$ |
$5.127362739$ |
$1$ |
|
$2$ |
$9732096$ |
$2.280197$ |
$25076571983/50863698$ |
$0.97224$ |
$3.90434$ |
$[1, -1, 0, 290322, -95367186]$ |
\(y^2+xy=x^3-x^2+290322x-95367186\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 276.12.0.?, 328.24.0.?, $\ldots$ |
$[(3571, 213782)]$ |
| 390402.d1 |
390402d4 |
390402.d |
390402d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{6} \cdot 23^{10} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22632$ |
$48$ |
$0$ |
$13.42181887$ |
$1$ |
|
$0$ |
$10813440$ |
$2.531277$ |
$76836090299697/45893924$ |
$0.92836$ |
$4.45652$ |
$[1, -1, 0, -4216758, -3330078400]$ |
\(y^2+xy=x^3-x^2-4216758x-3330078400\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 82.6.0.?, 164.12.0.?, $\ldots$ |
$[(1880275/11, 2544122120/11)]$ |
| 390402.d2 |
390402d3 |
390402.d |
390402d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{6} \cdot 23^{7} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22632$ |
$48$ |
$0$ |
$3.355454718$ |
$1$ |
|
$2$ |
$10813440$ |
$2.531277$ |
$16065959324337/259970012$ |
$0.98139$ |
$4.33496$ |
$[1, -1, 0, -2502798, 1503174536]$ |
\(y^2+xy=x^3-x^2-2502798x+1503174536\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 92.12.0.?, 276.24.0.?, $\ldots$ |
$[(29, 37809)]$ |
| 390402.d3 |
390402d2 |
390402.d |
390402d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 23^{8} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11316$ |
$48$ |
$0$ |
$6.710909436$ |
$1$ |
|
$4$ |
$5406720$ |
$2.184704$ |
$31345262577/14227984$ |
$0.92680$ |
$3.85035$ |
$[1, -1, 0, -312738, -31181500]$ |
\(y^2+xy=x^3-x^2-312738x-31181500\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 164.12.0.?, 276.24.0.?, $\ldots$ |
$[(15487, 1918252)]$ |
| 390402.d4 |
390402d1 |
390402.d |
390402d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{8} \cdot 3^{6} \cdot 23^{7} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22632$ |
$48$ |
$0$ |
$13.42181887$ |
$1$ |
|
$1$ |
$2703360$ |
$1.838131$ |
$324242703/241408$ |
$0.87798$ |
$3.49529$ |
$[1, -1, 0, 68142, -3681964]$ |
\(y^2+xy=x^3-x^2+68142x-3681964\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 184.12.0.?, 328.12.0.?, $\ldots$ |
$[(653597/13, 525288765/13)]$ |
| 390402.e1 |
390402e6 |
390402.e |
390402e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{3} \cdot 3^{8} \cdot 23^{14} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.100 |
2B |
$45264$ |
$192$ |
$1$ |
$80.35518316$ |
$1$ |
|
$0$ |
$337379328$ |
$4.159035$ |
$30558708894178043523937/9478135170529992$ |
$0.99978$ |
$5.99448$ |
$[1, -1, 0, -3101001273, -66447638377659]$ |
\(y^2+xy=x^3-x^2-3101001273x-66447638377659\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 48.48.0-8.r.1.1, 276.12.0.?, $\ldots$ |
$[(210482836873018885623774272471980059/909931313784070, 93924573017263912936757153072735608880427138466679883/909931313784070)]$ |
| 390402.e2 |
390402e3 |
390402.e |
390402e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{6} \cdot 3^{22} \cdot 23^{7} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$45264$ |
$192$ |
$1$ |
$10.04439789$ |
$1$ |
|
$0$ |
$168689664$ |
$3.812462$ |
$3692734274560500693217/2597955705792$ |
$0.99272$ |
$5.83034$ |
$[1, -1, 0, -1533108753, 23105453587101]$ |
\(y^2+xy=x^3-x^2-1533108753x+23105453587101\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.7, $\ldots$ |
$[(-124145/6, 1150485089/6)]$ |
| 390402.e3 |
390402e4 |
390402.e |
390402e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{6} \cdot 3^{10} \cdot 23^{10} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.22 |
2Cs |
$22632$ |
$192$ |
$1$ |
$40.17759158$ |
$1$ |
|
$2$ |
$168689664$ |
$3.812462$ |
$10887214909148618977/4099319456261184$ |
$0.98187$ |
$5.37780$ |
$[1, -1, 0, -219834513, -741477949155]$ |
\(y^2+xy=x^3-x^2-219834513x-741477949155\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.c.1, 24.48.0-8.c.1.2, 184.48.0.?, $\ldots$ |
$[(24475423916874680715/36142154, 61427204919960752158884169125/36142154)]$ |
| 390402.e4 |
390402e2 |
390402.e |
390402e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{12} \cdot 3^{14} \cdot 23^{8} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.25 |
2Cs |
$22632$ |
$192$ |
$1$ |
$20.08879579$ |
$1$ |
|
$2$ |
$84344832$ |
$3.465889$ |
$918877186561273057/23897549574144$ |
$0.95998$ |
$5.18578$ |
$[1, -1, 0, -96429393, 356210593245]$ |
\(y^2+xy=x^3-x^2-96429393x+356210593245\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.h.1, 24.48.0-8.h.1.2, 184.48.0.?, $\ldots$ |
$[(-5174519159/2424, 9458736816012977/2424)]$ |
| 390402.e5 |
390402e1 |
390402.e |
390402e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{24} \cdot 3^{10} \cdot 23^{7} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$45264$ |
$192$ |
$1$ |
$40.17759158$ |
$1$ |
|
$1$ |
$42172416$ |
$3.119312$ |
$1276229915423/1281494089728$ |
$0.99255$ |
$4.71753$ |
$[1, -1, 0, 1075887, 17886772701]$ |
\(y^2+xy=x^3-x^2+1075887x+17886772701\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.h.1, 24.24.0-8.n.1.8, $\ldots$ |
$[(49919620220921497/8139792, 74379287595816347330075611/8139792)]$ |
| 390402.e6 |
390402e5 |
390402.e |
390402e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{3} \cdot 3^{8} \cdot 23^{8} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.99 |
2B |
$45264$ |
$192$ |
$1$ |
$80.35518316$ |
$1$ |
|
$0$ |
$337379328$ |
$4.159035$ |
$332059183270966325663/304129832126760648$ |
$0.99924$ |
$5.64325$ |
$[1, -1, 0, 686850327, -5288865095691]$ |
\(y^2+xy=x^3-x^2+686850327x-5288865095691\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 24.48.0-8.k.1.3, 184.48.0.?, $\ldots$ |
$[(1728149849409631157719816551429198169/2623643008017720, 2281507178599717532770582671457129492525877985373947913/2623643008017720)]$ |
| 390402.f1 |
390402f2 |
390402.f |
390402f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{11} \cdot 3^{10} \cdot 23^{3} \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14057472$ |
$2.434475$ |
$131995849245106679/468759840768$ |
$1.03808$ |
$4.30447$ |
$[1, -1, 0, -2195748, 1249039440]$ |
\(y^2+xy=x^3-x^2-2195748x+1249039440\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[ ]$ |
| 390402.f2 |
390402f1 |
390402.f |
390402f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{22} \cdot 3^{8} \cdot 23^{3} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7028736$ |
$2.087902$ |
$-5488098288119/63455625216$ |
$0.97995$ |
$3.75733$ |
$[1, -1, 0, -76068, 37006416]$ |
\(y^2+xy=x^3-x^2-76068x+37006416\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[ ]$ |
| 390402.g1 |
390402g1 |
390402.g |
390402g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{3} \cdot 3^{6} \cdot 23^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$328$ |
$2$ |
$0$ |
$6.752039739$ |
$1$ |
|
$0$ |
$200448$ |
$0.380326$ |
$-38758657/328$ |
$0.78901$ |
$2.35730$ |
$[1, -1, 0, -513, -4379]$ |
\(y^2+xy=x^3-x^2-513x-4379\) |
328.2.0.? |
$[(1745/8, 11803/8)]$ |
| 390402.h1 |
390402h1 |
390402.h |
390402h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{5} \cdot 3^{9} \cdot 23^{6} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2703360$ |
$1.677767$ |
$1601613/1312$ |
$0.86376$ |
$3.33881$ |
$[1, -1, 0, 34815, -1620451]$ |
\(y^2+xy=x^3-x^2+34815x-1620451\) |
984.2.0.? |
$[ ]$ |
| 390402.i1 |
390402i1 |
390402.i |
390402i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2 \cdot 3^{9} \cdot 23^{10} \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$6.498927090$ |
$1$ |
|
$0$ |
$45619200$ |
$3.122604$ |
$-53000603012547/38573843122$ |
$0.99249$ |
$4.74691$ |
$[1, -1, 0, -11177340, 21614200334]$ |
\(y^2+xy=x^3-x^2-11177340x+21614200334\) |
984.2.0.? |
$[(336025/16, 390251413/16)]$ |
| 390402.j1 |
390402j2 |
390402.j |
390402j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{2} \cdot 3^{9} \cdot 23^{2} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5658$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$1.799667$ |
$-51723856668852625/7443468$ |
$0.97021$ |
$3.98817$ |
$[1, -1, 0, -565002, -163323216]$ |
\(y^2+xy=x^3-x^2-565002x-163323216\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 246.8.0.?, 5658.16.0.? |
$[ ]$ |
| 390402.j2 |
390402j1 |
390402.j |
390402j |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{6} \cdot 3^{15} \cdot 23^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5658$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$884736$ |
$1.250360$ |
$-65162412625/51648192$ |
$0.89525$ |
$3.00006$ |
$[1, -1, 0, -6102, -280908]$ |
\(y^2+xy=x^3-x^2-6102x-280908\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 246.8.0.?, 5658.16.0.? |
$[ ]$ |
| 390402.k1 |
390402k2 |
390402.k |
390402k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2 \cdot 3^{10} \cdot 23^{8} \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7544$ |
$12$ |
$0$ |
$9.728973647$ |
$1$ |
|
$6$ |
$6488064$ |
$2.337849$ |
$8979457236625/3513618$ |
$0.89045$ |
$4.28978$ |
$[1, -1, 0, -2061612, 1139483862]$ |
\(y^2+xy=x^3-x^2-2061612x+1139483862\) |
2.3.0.a.1, 92.6.0.?, 328.6.0.?, 7544.12.0.? |
$[(949, 5609), (65461/9, 319330/9)]$ |
| 390402.k2 |
390402k1 |
390402.k |
390402k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{2} \cdot 3^{8} \cdot 23^{7} \cdot 41^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7544$ |
$12$ |
$0$ |
$2.432243411$ |
$1$ |
|
$15$ |
$3244032$ |
$1.991274$ |
$-1349232625/1391868$ |
$0.82658$ |
$3.68552$ |
$[1, -1, 0, -109602, 23324544]$ |
\(y^2+xy=x^3-x^2-109602x+23324544\) |
2.3.0.a.1, 46.6.0.a.1, 328.6.0.?, 7544.12.0.? |
$[(6, 4758), (7941, 703038)]$ |
| 390402.l1 |
390402l2 |
390402.l |
390402l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{2} \cdot 3^{9} \cdot 23^{8} \cdot 41^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$246$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$61046784$ |
$3.367413$ |
$-51723856668852625/7443468$ |
$0.97021$ |
$5.44937$ |
$[1, -1, 0, -298886157, 1988946885825]$ |
\(y^2+xy=x^3-x^2-298886157x+1988946885825\) |
3.8.0-3.a.1.2, 246.16.0.? |
$[ ]$ |
| 390402.l2 |
390402l1 |
390402.l |
390402l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{6} \cdot 3^{15} \cdot 23^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$246$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20348928$ |
$2.818108$ |
$-65162412625/51648192$ |
$0.89525$ |
$4.46127$ |
$[1, -1, 0, -3228057, 3437175789]$ |
\(y^2+xy=x^3-x^2-3228057x+3437175789\) |
3.8.0-3.a.1.1, 246.16.0.? |
$[ ]$ |
| 390402.m1 |
390402m2 |
390402.m |
390402m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{9} \cdot 3^{10} \cdot 23^{8} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7544$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$48660480$ |
$3.445759$ |
$155178361567176468625/899486208$ |
$0.98117$ |
$5.58416$ |
$[1, -1, 0, -533008332, 4736541280720]$ |
\(y^2+xy=x^3-x^2-533008332x+4736541280720\) |
2.3.0.a.1, 92.6.0.?, 328.6.0.?, 7544.12.0.? |
$[ ]$ |
| 390402.m2 |
390402m1 |
390402.m |
390402m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{18} \cdot 3^{8} \cdot 23^{7} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7544$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24330240$ |
$3.099186$ |
$-37819708605204625/91217461248$ |
$0.94372$ |
$4.93831$ |
$[1, -1, 0, -33293772, 74104493008]$ |
\(y^2+xy=x^3-x^2-33293772x+74104493008\) |
2.3.0.a.1, 46.6.0.a.1, 328.6.0.?, 7544.12.0.? |
$[ ]$ |
| 390402.n1 |
390402n1 |
390402.n |
390402n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{3} \cdot 3^{13} \cdot 23^{6} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8456448$ |
$2.214005$ |
$-2177286259681/717336$ |
$0.97361$ |
$4.17977$ |
$[1, -1, 0, -1285569, -560875019]$ |
\(y^2+xy=x^3-x^2-1285569x-560875019\) |
984.2.0.? |
$[ ]$ |
| 390402.o1 |
390402o1 |
390402.o |
390402o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{9} \cdot 3^{9} \cdot 23^{8} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$984$ |
$2$ |
$0$ |
$6.343785611$ |
$1$ |
|
$0$ |
$9123840$ |
$2.428432$ |
$168105213359/299828736$ |
$0.88300$ |
$4.03776$ |
$[1, -1, 0, 547416, -225076928]$ |
\(y^2+xy=x^3-x^2+547416x-225076928\) |
984.2.0.? |
$[(56297/8, 15443263/8)]$ |
| 390402.p1 |
390402p2 |
390402.p |
390402p |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{5} \cdot 3^{7} \cdot 23^{6} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$113160$ |
$48$ |
$1$ |
$151.9883887$ |
$1$ |
|
$0$ |
$142560000$ |
$3.812134$ |
$-21525971829968662032241/11122195296$ |
$1.06339$ |
$5.96727$ |
$[1, -1, 0, -2759166234, -55783986042348]$ |
\(y^2+xy=x^3-x^2-2759166234x-55783986042348\) |
5.12.0.a.2, 345.24.0.?, 984.2.0.?, 4920.24.1.?, 37720.24.0.?, $\ldots$ |
$[(55090225895537762041226564291789015750482452418350779945662585475001/22348667834016934224462122155055, 349133269984288594848181499291578491503187375113950364078730350050170594146589281272960862460350194386/22348667834016934224462122155055)]$ |
| 390402.p2 |
390402p1 |
390402.p |
390402p |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{25} \cdot 3^{11} \cdot 23^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$113160$ |
$48$ |
$1$ |
$30.39767775$ |
$1$ |
|
$0$ |
$28512000$ |
$3.007412$ |
$-592915705201/334302806016$ |
$1.07782$ |
$4.61328$ |
$[1, -1, 0, -833274, -9142990668]$ |
\(y^2+xy=x^3-x^2-833274x-9142990668\) |
5.12.0.a.1, 345.24.0.?, 984.2.0.?, 4920.24.1.?, 37720.24.0.?, $\ldots$ |
$[(1083735177631257/101999, 35619793936937372353074/101999)]$ |
| 390402.q1 |
390402q1 |
390402.q |
390402q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{3} \cdot 3^{6} \cdot 23^{8} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$328$ |
$2$ |
$0$ |
$4.420495806$ |
$1$ |
|
$2$ |
$4610304$ |
$1.948074$ |
$-38758657/328$ |
$0.78901$ |
$3.81851$ |
$[1, -1, 0, -271476, 54907960]$ |
\(y^2+xy=x^3-x^2-271476x+54907960\) |
328.2.0.? |
$[(353, 1547)]$ |
| 390402.r1 |
390402r2 |
390402.r |
390402r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{11} \cdot 3^{10} \cdot 23^{9} \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$323321856$ |
$4.002220$ |
$131995849245106679/468759840768$ |
$1.03808$ |
$5.76567$ |
$[1, -1, 0, -1161550791, -15190093561923]$ |
\(y^2+xy=x^3-x^2-1161550791x-15190093561923\) |
2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.? |
$[ ]$ |
| 390402.r2 |
390402r1 |
390402.r |
390402r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{22} \cdot 3^{8} \cdot 23^{9} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161660928$ |
$3.655647$ |
$-5488098288119/63455625216$ |
$0.97995$ |
$5.21854$ |
$[1, -1, 0, -40240071, -450015623235]$ |
\(y^2+xy=x^3-x^2-40240071x-450015623235\) |
2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.? |
$[ ]$ |
| 390402.s1 |
390402s1 |
390402.s |
390402s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{7} \cdot 3^{12} \cdot 23^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$328$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31159296$ |
$2.587132$ |
$1867202951/3825792$ |
$0.99908$ |
$4.19076$ |
$[1, -1, 1, 987808, 602067075]$ |
\(y^2+xy+y=x^3-x^2+987808x+602067075\) |
328.2.0.? |
$[ ]$ |
| 390402.t1 |
390402t2 |
390402.t |
390402t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{6} \cdot 3^{6} \cdot 23^{7} \cdot 41^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3772$ |
$12$ |
$0$ |
$3.161113251$ |
$1$ |
|
$12$ |
$34062336$ |
$2.823242$ |
$53528500090850617/2474432$ |
$0.94548$ |
$4.96497$ |
$[1, -1, 1, -37381091, 87977614947]$ |
\(y^2+xy+y=x^3-x^2-37381091x+87977614947\) |
2.3.0.a.1, 92.6.0.?, 164.6.0.?, 3772.12.0.? |
$[(3525, -2292), (2991/2, 1963827/2)]$ |
| 390402.t2 |
390402t1 |
390402.t |
390402t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{12} \cdot 3^{6} \cdot 23^{8} \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3772$ |
$12$ |
$0$ |
$3.161113251$ |
$1$ |
|
$17$ |
$17031168$ |
$2.476665$ |
$13132563308857/88838144$ |
$0.89349$ |
$4.31930$ |
$[1, -1, 1, -2340131, 1370378211]$ |
\(y^2+xy+y=x^3-x^2-2340131x+1370378211\) |
2.3.0.a.1, 82.6.0.?, 92.6.0.?, 3772.12.0.? |
$[(351, 24158), (489, 18270)]$ |
| 390402.u1 |
390402u1 |
390402.u |
390402u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{30} \cdot 3^{9} \cdot 23^{2} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$246$ |
$2$ |
$0$ |
$2.064272618$ |
$1$ |
|
$10$ |
$5529600$ |
$2.067764$ |
$20412584663/1188632199168$ |
$1.18699$ |
$3.73759$ |
$[1, -1, 1, 4144, -32575053]$ |
\(y^2+xy+y=x^3-x^2+4144x-32575053\) |
246.2.0.? |
$[(605, 13521), (1629, 64721)]$ |
| 390402.v1 |
390402v1 |
390402.v |
390402v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{6} \cdot 3^{10} \cdot 23^{6} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$1.631859902$ |
$1$ |
|
$7$ |
$4730880$ |
$1.975189$ |
$32553430057/212544$ |
$0.94292$ |
$3.85329$ |
$[1, -1, 1, -316706, 68292321]$ |
\(y^2+xy+y=x^3-x^2-316706x+68292321\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[(351, 353)]$ |
| 390402.v2 |
390402v2 |
390402.v |
390402v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{3} \cdot 3^{14} \cdot 23^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$3.263719804$ |
$1$ |
|
$4$ |
$9461760$ |
$2.321762$ |
$-2062933417/88232328$ |
$1.00890$ |
$3.97426$ |
$[1, -1, 1, -126266, 149495937]$ |
\(y^2+xy+y=x^3-x^2-126266x+149495937\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[(-477, 10289)]$ |
| 390402.w1 |
390402w1 |
390402.w |
390402w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{9} \cdot 3^{6} \cdot 23^{8} \cdot 41^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.186181584$ |
$1$ |
|
$2$ |
$38154240$ |
$3.083179$ |
$-400064554633/1446789632$ |
$0.93022$ |
$4.68907$ |
$[1, -1, 1, -5910881, -14891074383]$ |
\(y^2+xy+y=x^3-x^2-5910881x-14891074383\) |
8.2.0.a.1 |
$[(4629, 236264)]$ |
| 390402.x1 |
390402x1 |
390402.x |
390402x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{8} \cdot 3^{6} \cdot 23^{8} \cdot 41^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3772$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$19464192$ |
$2.799007$ |
$250440136856937/9333557504$ |
$0.93772$ |
$4.54829$ |
$[1, -1, 1, -6252086, 5821664581]$ |
\(y^2+xy+y=x^3-x^2-6252086x+5821664581\) |
2.3.0.a.1, 82.6.0.?, 92.6.0.?, 3772.12.0.? |
$[ ]$ |
| 390402.x2 |
390402x2 |
390402.x |
390402x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23^{7} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3772$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38928384$ |
$3.145580$ |
$16169326314903/1748038360688$ |
$1.16322$ |
$4.74127$ |
$[1, -1, 1, 2508154, 20840220037]$ |
\(y^2+xy+y=x^3-x^2+2508154x+20840220037\) |
2.3.0.a.1, 46.6.0.a.1, 164.6.0.?, 3772.12.0.? |
$[ ]$ |
| 390402.y1 |
390402y1 |
390402.y |
390402y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{14} \cdot 3^{18} \cdot 23^{6} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$328$ |
$12$ |
$0$ |
$19.10201942$ |
$1$ |
|
$1$ |
$165580800$ |
$3.831432$ |
$10341755683137709164937/356992303104$ |
$1.06164$ |
$5.91033$ |
$[1, -1, 1, -2161001336, -38665585017349]$ |
\(y^2+xy+y=x^3-x^2-2161001336x-38665585017349\) |
2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? |
$[(23254903069/37, 3545826431678685/37)]$ |
| 390402.y2 |
390402y2 |
390402.y |
390402y |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( - 2^{7} \cdot 3^{30} \cdot 23^{6} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$328$ |
$12$ |
$0$ |
$38.20403884$ |
$1$ |
|
$0$ |
$331161600$ |
$4.178009$ |
$-10298071306410575356297/60769798505543808$ |
$1.06173$ |
$5.91079$ |
$[1, -1, 1, -2157954296, -38780061091333]$ |
\(y^2+xy+y=x^3-x^2-2157954296x-38780061091333\) |
2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? |
$[(2943721922037046837/416287, 5049993836075324841105372351/416287)]$ |
| 390402.z1 |
390402z2 |
390402.z |
390402z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{6} \cdot 23^{7} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3772$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4866048$ |
$2.263012$ |
$13132563308857/154652$ |
$0.89334$ |
$4.31930$ |
$[1, -1, 1, -2340131, -1377271065]$ |
\(y^2+xy+y=x^3-x^2-2340131x-1377271065\) |
2.3.0.a.1, 92.6.0.?, 164.6.0.?, 3772.12.0.? |
$[ ]$ |
| 390402.z2 |
390402z1 |
390402.z |
390402z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 23^{8} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3772$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2433024$ |
$1.916437$ |
$3463512697/347024$ |
$0.81807$ |
$3.67926$ |
$[1, -1, 1, -150071, -20309889]$ |
\(y^2+xy+y=x^3-x^2-150071x-20309889\) |
2.3.0.a.1, 82.6.0.?, 92.6.0.?, 3772.12.0.? |
$[ ]$ |
