| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 29370.a1 |
29370b1 |
29370.a |
29370b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{5} \cdot 11^{3} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354960$ |
$1.688528$ |
$-57505706745232137049/1310061772800000$ |
$0.94431$ |
$4.42634$ |
$1$ |
$[1, 1, 0, -80413, -8981507]$ |
\(y^2+xy=x^3+x^2-80413x-8981507\) |
117480.2.0.? |
$[ ]$ |
$1$ |
| 29370.b1 |
29370d1 |
29370.b |
29370d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18000$ |
$0.487206$ |
$15087533111/2643300000$ |
$0.89216$ |
$2.83315$ |
$1$ |
$[1, 1, 0, 52, -2448]$ |
\(y^2+xy=x^3+x^2+52x-2448\) |
117480.2.0.? |
$[ ]$ |
$1$ |
| 29370.c1 |
29370a1 |
29370.c |
29370a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{13} \cdot 3 \cdot 5^{5} \cdot 11^{3} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$6.935558919$ |
$1$ |
|
$0$ |
$87360$ |
$1.174175$ |
$-3468253438176409/9097651200000$ |
$0.98333$ |
$3.64445$ |
$1$ |
$[1, 1, 0, -3153, -161643]$ |
\(y^2+xy=x^3+x^2-3153x-161643\) |
117480.2.0.? |
$[(661/3, 1667/3)]$ |
$1$ |
| 29370.d1 |
29370e1 |
29370.d |
29370e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3916$ |
$12$ |
$0$ |
$0.527639075$ |
$1$ |
|
$9$ |
$147456$ |
$1.554083$ |
$2103494075182340569/735620155142400$ |
$0.93792$ |
$4.10102$ |
$1$ |
$[1, 1, 0, -26693, 1044813]$ |
\(y^2+xy=x^3+x^2-26693x+1044813\) |
2.3.0.a.1, 44.6.0.c.1, 178.6.0.?, 3916.12.0.? |
$[(218, 2267)]$ |
$1$ |
| 29370.d2 |
29370e2 |
29370.d |
29370e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 11^{3} \cdot 89^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3916$ |
$12$ |
$0$ |
$1.055278151$ |
$1$ |
|
$6$ |
$294912$ |
$1.900656$ |
$56170930044076051751/56029032782910000$ |
$0.95830$ |
$4.42031$ |
$1$ |
$[1, 1, 0, 79787, 7412317]$ |
\(y^2+xy=x^3+x^2+79787x+7412317\) |
2.3.0.a.1, 22.6.0.a.1, 356.6.0.?, 3916.12.0.? |
$[(97, 3961)]$ |
$1$ |
| 29370.e1 |
29370c2 |
29370.e |
29370c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2 \cdot 3^{24} \cdot 5 \cdot 11^{2} \cdot 89^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$737280$ |
$2.319950$ |
$107904624575808496744729/2706920473743861210$ |
$0.97381$ |
$5.15522$ |
$1$ |
$[1, 1, 0, -991833, -372276333]$ |
\(y^2+xy=x^3+x^2-991833x-372276333\) |
2.3.0.a.1, 40.6.0.b.1, 356.6.0.?, 3560.12.0.? |
$[ ]$ |
$1$ |
| 29370.e2 |
29370c1 |
29370.e |
29370c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.973377$ |
$105942050324199557697529/69249366360900$ |
$0.97335$ |
$5.15344$ |
$1$ |
$[1, 1, 0, -985783, -377132063]$ |
\(y^2+xy=x^3+x^2-985783x-377132063\) |
2.3.0.a.1, 40.6.0.c.1, 178.6.0.?, 3560.12.0.? |
$[ ]$ |
$1$ |
| 29370.f1 |
29370h1 |
29370.f |
29370h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{5} \cdot 3^{7} \cdot 5^{3} \cdot 11 \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18480$ |
$0.636953$ |
$-60425492474521/8564292000$ |
$0.86728$ |
$3.10579$ |
$1$ |
$[1, 1, 0, -817, -10379]$ |
\(y^2+xy=x^3+x^2-817x-10379\) |
117480.2.0.? |
$[ ]$ |
$1$ |
| 29370.g1 |
29370g4 |
29370.g |
29370g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$39160$ |
$48$ |
$0$ |
$30.42756199$ |
$1$ |
|
$0$ |
$9510912$ |
$3.557259$ |
$2346078086370715866851393871595561/7599381768000$ |
$1.03389$ |
$7.46890$ |
$2$ |
$[1, 1, 0, -2768256002, -56061720838476]$ |
\(y^2+xy=x^3+x^2-2768256002x-56061720838476\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 356.12.0.?, $\ldots$ |
$[(34269508975837/21197, 126165822754083288048/21197)]$ |
$1$ |
| 29370.g2 |
29370g3 |
29370.g |
29370g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{6} \cdot 3^{24} \cdot 5^{12} \cdot 11 \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$39160$ |
$48$ |
$0$ |
$7.606890499$ |
$1$ |
|
$2$ |
$9510912$ |
$3.557259$ |
$575889990340942705973299773481/4320289315857796875000000$ |
$1.06654$ |
$6.66092$ |
$2$ |
$[1, 1, 0, -173329282, -872687198924]$ |
\(y^2+xy=x^3+x^2-173329282x-872687198924\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 356.12.0.?, $\ldots$ |
$[(17292, 1131974)]$ |
$1$ |
| 29370.g3 |
29370g2 |
29370.g |
29370g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 89^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$19580$ |
$48$ |
$0$ |
$15.21378099$ |
$1$ |
|
$2$ |
$4755456$ |
$3.210686$ |
$572772993776422104380438635561/32598709982784000000$ |
$1.01680$ |
$6.66039$ |
$1$ |
$[1, 1, 0, -173016002, -876018430476]$ |
\(y^2+xy=x^3+x^2-173016002x-876018430476\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 220.24.0.?, 356.12.0.?, $\ldots$ |
$[(111063508/41, 1142950412646/41)]$ |
$1$ |
| 29370.g4 |
29370g1 |
29370.g |
29370g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{24} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 89^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$39160$ |
$48$ |
$0$ |
$7.606890499$ |
$1$ |
|
$1$ |
$2377728$ |
$2.864113$ |
$-139079013394701859751552041/1055140149888811008000$ |
$0.99589$ |
$5.85261$ |
$2$ |
$[1, 1, 0, -10793922, -13743186444]$ |
\(y^2+xy=x^3+x^2-10793922x-13743186444\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 110.6.0.?, $\ldots$ |
$[(655917/11, 389144784/11)]$ |
$1$ |
| 29370.h1 |
29370f1 |
29370.h |
29370f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10000$ |
$0.238062$ |
$-1481933914201/38063520$ |
$0.83379$ |
$2.72828$ |
$1$ |
$[1, 1, 0, -237, 1341]$ |
\(y^2+xy=x^3+x^2-237x+1341\) |
117480.2.0.? |
$[ ]$ |
$1$ |
| 29370.i1 |
29370i1 |
29370.i |
29370i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \cdot 89 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$39160$ |
$12$ |
$0$ |
$0.472423155$ |
$1$ |
|
$27$ |
$13312$ |
$0.214748$ |
$161789533849/87228900$ |
$0.84749$ |
$2.50877$ |
$1$ |
$[1, 0, 1, -114, 112]$ |
\(y^2+xy+y=x^3-114x+112\) |
2.3.0.a.1, 178.6.0.?, 440.6.0.?, 39160.12.0.? |
$[(-4, 24), (11, 9)]$ |
$1$ |
| 29370.i2 |
29370i2 |
29370.i |
29370i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2 \cdot 3^{8} \cdot 5 \cdot 11 \cdot 89^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$39160$ |
$12$ |
$0$ |
$1.889692622$ |
$1$ |
|
$14$ |
$26624$ |
$0.561322$ |
$9196324145351/5716664910$ |
$0.88363$ |
$2.90150$ |
$1$ |
$[1, 0, 1, 436, 992]$ |
\(y^2+xy+y=x^3+436x+992\) |
2.3.0.a.1, 356.6.0.?, 440.6.0.?, 39160.12.0.? |
$[(20, 123), (0, 31)]$ |
$1$ |
| 29370.j1 |
29370l1 |
29370.j |
29370l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 11^{7} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$11748$ |
$2$ |
$0$ |
$2.332995262$ |
$1$ |
|
$2$ |
$193536$ |
$1.542959$ |
$-17642805663591289/832491945120000$ |
$0.95772$ |
$4.06527$ |
$1$ |
$[1, 0, 1, -5424, 1396222]$ |
\(y^2+xy+y=x^3-5424x+1396222\) |
11748.2.0.? |
$[(-119, 659)]$ |
$1$ |
| 29370.k1 |
29370k1 |
29370.k |
29370k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{5} \cdot 3^{10} \cdot 5^{7} \cdot 11^{11} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$39160$ |
$2$ |
$0$ |
$10.86755772$ |
$1$ |
|
$0$ |
$5667200$ |
$3.395428$ |
$-93659948635834293690161449/3748539566434738927500000$ |
$1.02899$ |
$6.22611$ |
$1$ |
$[1, 0, 1, -9461139, -93823179314]$ |
\(y^2+xy+y=x^3-9461139x-93823179314\) |
39160.2.0.? |
$[(369020/7, 174299586/7)]$ |
$1$ |
| 29370.l1 |
29370n2 |
29370.l |
29370n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{3} \cdot 3^{8} \cdot 5 \cdot 11^{2} \cdot 89^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3560$ |
$12$ |
$0$ |
$0.465636565$ |
$1$ |
|
$10$ |
$98304$ |
$1.208191$ |
$1935594897227176249/251533256040$ |
$0.92794$ |
$4.09293$ |
$1$ |
$[1, 0, 1, -25964, 1607906]$ |
\(y^2+xy+y=x^3-25964x+1607906\) |
2.3.0.a.1, 40.6.0.b.1, 356.6.0.?, 3560.12.0.? |
$[(96, 1)]$ |
$1$ |
| 29370.l2 |
29370n1 |
29370.l |
29370n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 11^{4} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3560$ |
$12$ |
$0$ |
$0.232818282$ |
$1$ |
|
$13$ |
$49152$ |
$0.861618$ |
$606548448011449/168875150400$ |
$0.88815$ |
$3.30868$ |
$1$ |
$[1, 0, 1, -1764, 20386]$ |
\(y^2+xy+y=x^3-1764x+20386\) |
2.3.0.a.1, 40.6.0.c.1, 178.6.0.?, 3560.12.0.? |
$[(8, 78)]$ |
$1$ |
| 29370.m1 |
29370m2 |
29370.m |
29370m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{3} \cdot 3 \cdot 5^{3} \cdot 11 \cdot 89^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$117480$ |
$16$ |
$0$ |
$8.935725297$ |
$1$ |
|
$0$ |
$25920$ |
$0.668969$ |
$-362314607689/23263977000$ |
$0.89971$ |
$3.04575$ |
$1$ |
$[1, 0, 1, -149, -7384]$ |
\(y^2+xy+y=x^3-149x-7384\) |
3.8.0-3.a.1.1, 117480.16.0.? |
$[(7135/6, 580127/6)]$ |
$1$ |
| 29370.m2 |
29370m1 |
29370.m |
29370m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2 \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 89 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$117480$ |
$16$ |
$0$ |
$2.978575099$ |
$1$ |
|
$4$ |
$8640$ |
$0.119663$ |
$494913671/31983930$ |
$0.84352$ |
$2.40349$ |
$1$ |
$[1, 0, 1, 16, 272]$ |
\(y^2+xy+y=x^3+16x+272\) |
3.8.0-3.a.1.2, 117480.16.0.? |
$[(198, 2689)]$ |
$1$ |
| 29370.n1 |
29370j1 |
29370.n |
29370j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{23} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$39160$ |
$2$ |
$0$ |
$3.825058933$ |
$1$ |
|
$2$ |
$52992$ |
$1.091568$ |
$-1535562100788409/3326041128960$ |
$0.90843$ |
$3.55028$ |
$1$ |
$[1, 0, 1, -2404, -98974]$ |
\(y^2+xy+y=x^3-2404x-98974\) |
39160.2.0.? |
$[(70, 242)]$ |
$1$ |
| 29370.o1 |
29370r1 |
29370.o |
29370r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 11 \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$39160$ |
$2$ |
$0$ |
$0.506877199$ |
$1$ |
|
$4$ |
$6144$ |
$-0.001672$ |
$2294744759/7136910$ |
$0.80158$ |
$2.23855$ |
$1$ |
$[1, 0, 1, 27, 118]$ |
\(y^2+xy+y=x^3+27x+118\) |
39160.2.0.? |
$[(2, 12)]$ |
$1$ |
| 29370.p1 |
29370p2 |
29370.p |
29370p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{42} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$11748$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1040256$ |
$2.438240$ |
$-2997201678998045401/39074114374415155200$ |
$1.03575$ |
$5.10966$ |
$1$ |
$[1, 0, 1, -30038, -300757144]$ |
\(y^2+xy+y=x^3-30038x-300757144\) |
3.8.0-3.a.1.1, 11748.16.0.? |
$[ ]$ |
$1$ |
| 29370.p2 |
29370p1 |
29370.p |
29370p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 89^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$11748$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$346752$ |
$1.888933$ |
$4111302216360599/53600203008000000$ |
$1.01581$ |
$4.46892$ |
$1$ |
$[1, 0, 1, 3337, 11138906]$ |
\(y^2+xy+y=x^3+3337x+11138906\) |
3.8.0-3.a.1.2, 11748.16.0.? |
$[ ]$ |
$1$ |
| 29370.q1 |
29370o1 |
29370.q |
29370o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{3} \cdot 3^{19} \cdot 5 \cdot 11 \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$0.475028576$ |
$1$ |
|
$4$ |
$134976$ |
$1.363813$ |
$-502461771077385001/45514159047720$ |
$0.92280$ |
$3.97597$ |
$1$ |
$[1, 0, 1, -16563, 880918]$ |
\(y^2+xy+y=x^3-16563x+880918\) |
117480.2.0.? |
$[(-118, 1152)]$ |
$1$ |
| 29370.r1 |
29370q4 |
29370.r |
29370q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 89 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$39160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$196608$ |
$1.650238$ |
$4128310636706811586681/256928760000$ |
$0.96151$ |
$4.83801$ |
$1$ |
$[1, 0, 1, -334208, 74337806]$ |
\(y^2+xy+y=x^3-334208x+74337806\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 3916.24.0.?, 39160.48.0.? |
$[ ]$ |
$1$ |
| 29370.r2 |
29370q3 |
29370.r |
29370q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{4} \cdot 89^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$39160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$1.650238$ |
$4875994371841290361/2645594353385280$ |
$0.96137$ |
$4.18274$ |
$2$ |
$[1, 0, 1, -35328, -641522]$ |
\(y^2+xy+y=x^3-35328x-641522\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 7832.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 29370.r3 |
29370q2 |
29370.r |
29370q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \cdot 89^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$19580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$98304$ |
$1.303665$ |
$1013624410729712761/7949693030400$ |
$0.92481$ |
$4.03005$ |
$1$ |
$[1, 0, 1, -20928, 1155598]$ |
\(y^2+xy+y=x^3-20928x+1155598\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 3916.24.0.?, 19580.48.0.? |
$[ ]$ |
$1$ |
| 29370.r4 |
29370q1 |
29370.r |
29370q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{24} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$39160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$0.957091$ |
$-9912050027641/739120250880$ |
$0.92387$ |
$3.38181$ |
$2$ |
$[1, 0, 1, -448, 41486]$ |
\(y^2+xy+y=x^3-448x+41486\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ |
$[ ]$ |
$1$ |
| 29370.s1 |
29370u1 |
29370.s |
29370u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{11} \cdot 3^{13} \cdot 5^{9} \cdot 11^{7} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10810800$ |
$3.489151$ |
$4220023514326527797232309071/11060508795162948000000000$ |
$1.08471$ |
$6.30563$ |
$1$ |
$[1, 1, 1, 33666429, -141230159007]$ |
\(y^2+xy+y=x^3+x^2+33666429x-141230159007\) |
117480.2.0.? |
$[ ]$ |
$1$ |
| 29370.t1 |
29370s1 |
29370.t |
29370s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$6.714035071$ |
$1$ |
|
$0$ |
$57024$ |
$1.016153$ |
$-17863296516440929/413015625000$ |
$0.90284$ |
$3.64130$ |
$1$ |
$[1, 1, 1, -5446, -160021]$ |
\(y^2+xy+y=x^3+x^2-5446x-160021\) |
117480.2.0.? |
$[(919/3, 14845/3)]$ |
$1$ |
| 29370.u1 |
29370t1 |
29370.u |
29370t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 11 \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$39160$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.594026$ |
$-777901113206209/317196000$ |
$0.88233$ |
$3.33293$ |
$1$ |
$[1, 1, 1, -1916, -33091]$ |
\(y^2+xy+y=x^3+x^2-1916x-33091\) |
39160.2.0.? |
$[ ]$ |
$1$ |
| 29370.v1 |
29370y2 |
29370.v |
29370y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{2} \cdot 11 \cdot 89^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7832$ |
$12$ |
$0$ |
$0.887669177$ |
$1$ |
|
$20$ |
$112640$ |
$1.205679$ |
$11445402762801640801/5646088800$ |
$0.93654$ |
$4.26568$ |
$1$ |
$[1, 1, 1, -46950, 3896067]$ |
\(y^2+xy+y=x^3+x^2-46950x+3896067\) |
2.3.0.a.1, 88.6.0.?, 356.6.0.?, 7832.12.0.? |
$[(147, 371), (181, 1079)]$ |
$1$ |
| 29370.v2 |
29370y1 |
29370.v |
29370y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 11^{2} \cdot 89 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7832$ |
$12$ |
$0$ |
$0.221917294$ |
$1$ |
|
$39$ |
$56320$ |
$0.859104$ |
$2839219448104801/62029440000$ |
$0.89133$ |
$3.45871$ |
$1$ |
$[1, 1, 1, -2950, 59267]$ |
\(y^2+xy+y=x^3+x^2-2950x+59267\) |
2.3.0.a.1, 88.6.0.?, 178.6.0.?, 7832.12.0.? |
$[(47, 141), (-19, 339)]$ |
$1$ |
| 29370.w1 |
29370x1 |
29370.w |
29370x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{33} \cdot 3^{3} \cdot 5^{15} \cdot 11^{7} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$104282640$ |
$4.685219$ |
$-53711888017171801045793163661413361/12275593225961472000000000000000$ |
$1.04160$ |
$7.80559$ |
$1$ |
$[1, 1, 1, -7860477015, -316811948600595]$ |
\(y^2+xy+y=x^3+x^2-7860477015x-316811948600595\) |
117480.2.0.? |
$[ ]$ |
$1$ |
| 29370.x1 |
29370w1 |
29370.x |
29370w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$11748$ |
$2$ |
$0$ |
$3.418912609$ |
$1$ |
|
$2$ |
$12672$ |
$0.422393$ |
$-15107691357361/319839300$ |
$0.85357$ |
$2.95324$ |
$1$ |
$[1, 1, 1, -515, -4795]$ |
\(y^2+xy+y=x^3+x^2-515x-4795\) |
11748.2.0.? |
$[(83, 688)]$ |
$1$ |
| 29370.y1 |
29370ba1 |
29370.y |
29370ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$11748$ |
$2$ |
$0$ |
$0.228045063$ |
$1$ |
|
$6$ |
$9600$ |
$0.190174$ |
$-1/75187200$ |
$1.10863$ |
$2.48745$ |
$1$ |
$[1, 1, 1, 0, 417]$ |
\(y^2+xy+y=x^3+x^2+417\) |
11748.2.0.? |
$[(-3, 21)]$ |
$1$ |
| 29370.z1 |
29370z1 |
29370.z |
29370z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{5} \cdot 3 \cdot 5^{3} \cdot 11 \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$117480$ |
$2$ |
$0$ |
$0.290223816$ |
$1$ |
|
$4$ |
$33600$ |
$0.789645$ |
$-120320392325340241/11748000$ |
$0.91331$ |
$3.82290$ |
$1$ |
$[1, 1, 1, -10285, 397187]$ |
\(y^2+xy+y=x^3+x^2-10285x+397187\) |
117480.2.0.? |
$[(57, -14)]$ |
$1$ |
| 29370.ba1 |
29370v2 |
29370.ba |
29370v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{2} \cdot 3^{12} \cdot 5 \cdot 11 \cdot 89^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$19580$ |
$12$ |
$0$ |
$1.432783046$ |
$4$ |
$2$ |
$4$ |
$49152$ |
$0.988090$ |
$1780404196683601/926099715420$ |
$0.91435$ |
$3.41335$ |
$1$ |
$[1, 1, 1, -2525, -16585]$ |
\(y^2+xy+y=x^3+x^2-2525x-16585\) |
2.3.0.a.1, 220.6.0.?, 356.6.0.?, 19580.12.0.? |
$[(-25, 190)]$ |
$1$ |
| 29370.ba2 |
29370v1 |
29370.ba |
29370v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 11^{2} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$19580$ |
$12$ |
$0$ |
$0.716391523$ |
$1$ |
|
$7$ |
$24576$ |
$0.641517$ |
$320027539885201/3140240400$ |
$0.87635$ |
$3.24653$ |
$1$ |
$[1, 1, 1, -1425, 19935]$ |
\(y^2+xy+y=x^3+x^2-1425x+19935\) |
2.3.0.a.1, 178.6.0.?, 220.6.0.?, 19580.12.0.? |
$[(25, 14)]$ |
$1$ |
| 29370.bb1 |
29370bb4 |
29370.bb |
29370bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 11 \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$7832$ |
$48$ |
$0$ |
$15.10188145$ |
$4$ |
$2$ |
$0$ |
$19660800$ |
$3.782215$ |
$140359859210252791987044736676659201/2030054400$ |
$1.04118$ |
$7.86661$ |
$2$ |
$[1, 1, 1, -10826956800, -433622928076383]$ |
\(y^2+xy+y=x^3+x^2-10826956800x-433622928076383\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ |
$[(8028969/7, 16029719187/7)]$ |
$1$ |
| 29370.bb2 |
29370bb2 |
29370.bb |
29370bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 89^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$3916$ |
$48$ |
$0$ |
$7.550940725$ |
$1$ |
|
$4$ |
$9830400$ |
$3.435642$ |
$34267543755470330068019895091201/4121120866959360000$ |
$1.02563$ |
$7.05809$ |
$1$ |
$[1, 1, 1, -676684800, -6775569714783]$ |
\(y^2+xy+y=x^3+x^2-676684800x-6775569714783\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.b.1.2, 356.24.0.?, 3916.48.0.? |
$[(47481, 8231009)]$ |
$1$ |
| 29370.bb3 |
29370bb3 |
29370.bb |
29370bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{10} \cdot 3^{16} \cdot 5^{8} \cdot 11 \cdot 89^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$7832$ |
$48$ |
$0$ |
$3.775470362$ |
$1$ |
|
$4$ |
$19660800$ |
$3.782215$ |
$-34258988276876079443876743249921/11883730070263748400000000$ |
$1.02563$ |
$7.05813$ |
$2$ |
$[1, 1, 1, -676628480, -6776753876575]$ |
\(y^2+xy+y=x^3+x^2-676628480x-6776753876575\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 44.24.0-44.g.1.1, 712.24.0.?, $\ldots$ |
$[(43943, 6931153)]$ |
$1$ |
| 29370.bb4 |
29370bb1 |
29370.bb |
29370bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{40} \cdot 3^{4} \cdot 5^{2} \cdot 11^{4} \cdot 89 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$7832$ |
$48$ |
$0$ |
$3.775470362$ |
$1$ |
|
$7$ |
$4915200$ |
$3.089069$ |
$8368188648876773705628794881/2901252992300325273600$ |
$1.00671$ |
$6.24960$ |
$1$ |
$[1, 1, 1, -42296320, -105862991455]$ |
\(y^2+xy+y=x^3+x^2-42296320x-105862991455\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 178.6.0.?, 356.24.0.?, $\ldots$ |
$[(-3727, 6633)]$ |
$1$ |
| 29370.bc1 |
29370bg1 |
29370.bc |
29370bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3916$ |
$12$ |
$0$ |
$0.190006302$ |
$1$ |
|
$15$ |
$49152$ |
$1.021811$ |
$2469626647031809/1429158297600$ |
$1.03266$ |
$3.44516$ |
$1$ |
$[1, 0, 0, -2816, 0]$ |
\(y^2+xy=x^3-2816x\) |
2.3.0.a.1, 44.6.0.c.1, 178.6.0.?, 3916.12.0.? |
$[(88, 616)]$ |
$1$ |
| 29370.bc2 |
29370bg2 |
29370.bc |
29370bg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 89^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3916$ |
$12$ |
$0$ |
$0.380012604$ |
$1$ |
|
$10$ |
$98304$ |
$1.368383$ |
$158051720492531711/91466638560000$ |
$1.04801$ |
$3.84941$ |
$1$ |
$[1, 0, 0, 11264, 2816]$ |
\(y^2+xy=x^3+11264x+2816\) |
2.3.0.a.1, 22.6.0.a.1, 356.6.0.?, 3916.12.0.? |
$[(56, 872)]$ |
$1$ |
| 29370.bd1 |
29370bh1 |
29370.bd |
29370bh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 89 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3916$ |
$12$ |
$0$ |
$3.393561378$ |
$1$ |
|
$3$ |
$2703360$ |
$3.029449$ |
$759521040149442590077955416129/282621636000000$ |
$1.01744$ |
$6.68782$ |
$1$ |
$[1, 0, 0, -190080996, -1008702232560]$ |
\(y^2+xy=x^3-190080996x-1008702232560\) |
2.3.0.a.1, 44.6.0.c.1, 178.6.0.?, 3916.12.0.? |
$[(23808, 2809596)]$ |
$1$ |
| 29370.bd2 |
29370bh2 |
29370.bd |
29370bh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{4} \cdot 3^{16} \cdot 5^{12} \cdot 11 \cdot 89^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3916$ |
$12$ |
$0$ |
$6.787122757$ |
$1$ |
|
$2$ |
$5406720$ |
$3.376022$ |
$-759510491350220163891402355009/14651186904105468750000$ |
$1.01744$ |
$6.68782$ |
$1$ |
$[1, 0, 0, -190080116, -1008712039104]$ |
\(y^2+xy=x^3-190080116x-1008712039104\) |
2.3.0.a.1, 22.6.0.a.1, 356.6.0.?, 3916.12.0.? |
$[(88210, 25812976)]$ |
$1$ |
| 29370.be1 |
29370bf1 |
29370.be |
29370bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 11^{3} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$39160$ |
$2$ |
$0$ |
$0.160037807$ |
$1$ |
|
$6$ |
$13440$ |
$0.375625$ |
$-25128011089/682323840$ |
$0.86445$ |
$2.70388$ |
$1$ |
$[1, 0, 0, -61, 1265]$ |
\(y^2+xy=x^3-61x+1265\) |
39160.2.0.? |
$[(26, 119)]$ |
$1$ |