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 |
67626.a1 |
67626m2 |
67626.a |
67626m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3538944$ |
$2.609776$ |
$196741326427281/5020614352$ |
$1.05763$ |
$5.08048$ |
$[1, -1, 0, -3151599, -2104694371]$ |
\(y^2+xy=x^3-x^2-3151599x-2104694371\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
67626.a2 |
67626m1 |
67626.a |
67626m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.263203$ |
$559679941521/212556032$ |
$1.20815$ |
$4.55338$ |
$[1, -1, 0, -446559, 67452749]$ |
\(y^2+xy=x^3-x^2-446559x+67452749\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
67626.b1 |
67626b2 |
67626.b |
67626b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$2.819738344$ |
$1$ |
|
$6$ |
$72576$ |
$0.774825$ |
$813146499/832$ |
$1.00713$ |
$3.24323$ |
$[1, -1, 0, -3471, -77779]$ |
\(y^2+xy=x^3-x^2-3471x-77779\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 156.8.0.?, 2652.16.0.? |
$[(-34, 9), (94, 601)]$ |
67626.b2 |
67626b1 |
67626.b |
67626b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 13^{3} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$0.313304260$ |
$1$ |
|
$16$ |
$24192$ |
$0.225519$ |
$54000891/8788$ |
$0.95916$ |
$2.40671$ |
$[1, -1, 0, -156, 676]$ |
\(y^2+xy=x^3-x^2-156x+676\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 156.8.0.?, 2652.16.0.? |
$[(0, 26), (26, 104)]$ |
67626.c1 |
67626j2 |
67626.c |
67626j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 3^{6} \cdot 13 \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$6.403156807$ |
$1$ |
|
$10$ |
$663552$ |
$1.817530$ |
$297141543217/7514$ |
$0.90457$ |
$4.49645$ |
$[1, -1, 0, -361593, 83779515]$ |
\(y^2+xy=x^3-x^2-361593x+83779515\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(421, 2246), (75807/13, 7017642/13)]$ |
67626.c2 |
67626j1 |
67626.c |
67626j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 13^{2} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1.600789201$ |
$1$ |
|
$19$ |
$331776$ |
$1.470957$ |
$81182737/11492$ |
$0.81939$ |
$3.75869$ |
$[1, -1, 0, -23463, 1208169]$ |
\(y^2+xy=x^3-x^2-23463x+1208169\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(-21, 1311), (100/3, 26149/3)]$ |
67626.d1 |
67626k1 |
67626.d |
67626k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.863197$ |
$612241204436497/308834353152$ |
$0.98585$ |
$5.18256$ |
$[1, -1, 0, -4601223, 1362094141]$ |
\(y^2+xy=x^3-x^2-4601223x+1362094141\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
67626.d2 |
67626k2 |
67626.d |
67626k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{22} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8257536$ |
$3.209774$ |
$31091549545392623/20700995942016$ |
$1.00598$ |
$5.53570$ |
$[1, -1, 0, 17039097, 10498637245]$ |
\(y^2+xy=x^3-x^2+17039097x+10498637245\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
67626.e1 |
67626o1 |
67626.e |
67626o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{7} \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$4.797968747$ |
$1$ |
|
$2$ |
$1096704$ |
$2.188286$ |
$-2086979041/171366$ |
$0.89243$ |
$4.57204$ |
$[1, -1, 0, -457830, -127299438]$ |
\(y^2+xy=x^3-x^2-457830x-127299438\) |
24.2.0.b.1 |
$[(5829, 438936)]$ |
67626.f1 |
67626h2 |
67626.f |
67626h |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 13^{7} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$37128$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$987840$ |
$2.255707$ |
$-1064019559329/125497034$ |
$1.06269$ |
$4.62783$ |
$[1, -1, 0, -553200, 173898674]$ |
\(y^2+xy=x^3-x^2-553200x+173898674\) |
7.24.0.a.2, 104.2.0.?, 357.48.0.?, 728.48.2.?, 37128.96.2.? |
$[]$ |
67626.f2 |
67626h1 |
67626.f |
67626h |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$37128$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$1.282753$ |
$-2146689/1664$ |
$0.96784$ |
$3.50847$ |
$[1, -1, 0, -6990, -342316]$ |
\(y^2+xy=x^3-x^2-6990x-342316\) |
7.24.0.a.1, 104.2.0.?, 357.48.0.?, 728.48.2.?, 37128.96.2.? |
$[]$ |
67626.g1 |
67626n1 |
67626.g |
67626n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{34} \cdot 3^{23} \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$18.20817356$ |
$1$ |
|
$0$ |
$713131776$ |
$5.398872$ |
$298779371619116129414560801/4874288601508740071424$ |
$1.06889$ |
$8.11196$ |
$[1, -1, 0, -239505375690, 44474609517705972]$ |
\(y^2+xy=x^3-x^2-239505375690x+44474609517705972\) |
156.2.0.? |
$[(547551357549156/40963, 2234098788482739021930/40963)]$ |
67626.h1 |
67626p1 |
67626.h |
67626p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$5.181324488$ |
$1$ |
|
$2$ |
$1762560$ |
$2.224430$ |
$2086979041/359424$ |
$0.89594$ |
$4.56011$ |
$[1, -1, 0, -457830, 100044724]$ |
\(y^2+xy=x^3-x^2-457830x+100044724\) |
156.2.0.? |
$[(-516, 14354)]$ |
67626.i1 |
67626d2 |
67626.i |
67626d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4718592$ |
$3.004883$ |
$621403856941038625/6310317312$ |
$0.99125$ |
$5.80500$ |
$[1, -1, 0, -46240632, -121014793152]$ |
\(y^2+xy=x^3-x^2-46240632x-121014793152\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
67626.i2 |
67626d1 |
67626.i |
67626d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.658310$ |
$162995025390625/15251079168$ |
$1.05044$ |
$5.06357$ |
$[1, -1, 0, -2959992, -1793942208]$ |
\(y^2+xy=x^3-x^2-2959992x-1793942208\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
67626.j1 |
67626g1 |
67626.j |
67626g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$0.832179701$ |
$1$ |
|
$12$ |
$103680$ |
$0.807822$ |
$2086979041/359424$ |
$0.89594$ |
$3.03164$ |
$[1, -1, 0, -1584, 20736]$ |
\(y^2+xy=x^3-x^2-1584x+20736\) |
156.2.0.? |
$[(0, 144), (96, 816)]$ |
67626.k1 |
67626e1 |
67626.k |
67626e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{34} \cdot 3^{23} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41948928$ |
$3.982269$ |
$298779371619116129414560801/4874288601508740071424$ |
$1.06889$ |
$6.58348$ |
$[1, -1, 0, -828738324, 9052629256912]$ |
\(y^2+xy=x^3-x^2-828738324x+9052629256912\) |
156.2.0.? |
$[]$ |
67626.l1 |
67626f1 |
67626.l |
67626f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{7} \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$0.771678$ |
$-2086979041/171366$ |
$0.89243$ |
$3.04357$ |
$[1, -1, 0, -1584, -25538]$ |
\(y^2+xy=x^3-x^2-1584x-25538\) |
24.2.0.b.1 |
$[]$ |
67626.m1 |
67626i1 |
67626.m |
67626i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$1.986826$ |
$90942871473/3321188$ |
$0.92211$ |
$4.39000$ |
$[1, -1, 0, -243681, -44754391]$ |
\(y^2+xy=x^3-x^2-243681x-44754391\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
67626.m2 |
67626i2 |
67626.m |
67626i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1769472$ |
$2.333401$ |
$5295319407/627576794$ |
$1.34833$ |
$4.61242$ |
$[1, -1, 0, 94449, -159515713]$ |
\(y^2+xy=x^3-x^2+94449x-159515713\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
67626.n1 |
67626a2 |
67626.n |
67626a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.676429959$ |
$1$ |
|
$6$ |
$165888$ |
$1.173948$ |
$1033364331/676$ |
$1.11849$ |
$3.69107$ |
$[1, -1, 0, -18261, 953849]$ |
\(y^2+xy=x^3-x^2-18261x+953849\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(80, -27)]$ |
67626.n2 |
67626a1 |
67626.n |
67626a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.352859919$ |
$1$ |
|
$5$ |
$82944$ |
$0.827375$ |
$-132651/208$ |
$1.11492$ |
$3.00326$ |
$[1, -1, 0, -921, 20957]$ |
\(y^2+xy=x^3-x^2-921x+20957\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-34, 127)]$ |
67626.o1 |
67626c2 |
67626.o |
67626c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$156$ |
$16$ |
$0$ |
$9.776538491$ |
$1$ |
|
$0$ |
$1233792$ |
$2.191433$ |
$813146499/832$ |
$1.00713$ |
$4.77170$ |
$[1, -1, 0, -1003173, -386140843]$ |
\(y^2+xy=x^3-x^2-1003173x-386140843\) |
3.8.0-3.a.1.1, 156.16.0.? |
$[(-132614/15, 2143589/15)]$ |
67626.o2 |
67626c1 |
67626.o |
67626c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$156$ |
$16$ |
$0$ |
$3.258846163$ |
$1$ |
|
$4$ |
$411264$ |
$1.642126$ |
$54000891/8788$ |
$0.95916$ |
$3.93518$ |
$[1, -1, 0, -45138, 3140712]$ |
\(y^2+xy=x^3-x^2-45138x+3140712\) |
3.8.0-3.a.1.2, 156.16.0.? |
$[(22, 1458)]$ |
67626.p1 |
67626l2 |
67626.p |
67626l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 13^{2} \cdot 17^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$145981440$ |
$4.311333$ |
$729596217166155478587889/697759680872204288$ |
$1.03716$ |
$7.06164$ |
$[1, -1, 0, -4878204165, -131031247775787]$ |
\(y^2+xy=x^3-x^2-4878204165x-131031247775787\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
67626.p2 |
67626l1 |
67626.p |
67626l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{22} \cdot 3^{6} \cdot 13^{4} \cdot 17^{11} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$72990720$ |
$3.964760$ |
$336811992790162430449/170089663019614208$ |
$1.03772$ |
$6.37103$ |
$[1, -1, 0, -377017605, -1005471617067]$ |
\(y^2+xy=x^3-x^2-377017605x-1005471617067\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
67626.q1 |
67626bj2 |
67626.q |
67626bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 13^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$5304$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2506752$ |
$2.393620$ |
$1697936057/114244$ |
$0.90738$ |
$4.79630$ |
$[1, -1, 1, -1098977, 417135885]$ |
\(y^2+xy+y=x^3-x^2-1098977x+417135885\) |
2.3.0.a.1, 4.6.0.d.1, 34.6.0.a.1, 68.12.0.i.1, 104.12.0.?, $\ldots$ |
$[]$ |
67626.q2 |
67626bj1 |
67626.q |
67626bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$5304$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1253376$ |
$2.047047$ |
$12649337/2704$ |
$0.85304$ |
$4.35576$ |
$[1, -1, 1, -214637, -30340155]$ |
\(y^2+xy+y=x^3-x^2-214637x-30340155\) |
2.3.0.a.1, 4.6.0.d.1, 34.6.0.a.1, 68.12.0.i.1, 104.12.0.?, $\ldots$ |
$[]$ |
67626.r1 |
67626x1 |
67626.r |
67626x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{9} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.417223325$ |
$1$ |
|
$6$ |
$108864$ |
$0.598158$ |
$18576359/44928$ |
$0.87463$ |
$2.71110$ |
$[1, -1, 1, 328, -4165]$ |
\(y^2+xy+y=x^3-x^2+328x-4165\) |
312.2.0.? |
$[(21, 97)]$ |
67626.s1 |
67626bo1 |
67626.s |
67626bo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{17} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$5.405975556$ |
$1$ |
|
$2$ |
$2585088$ |
$2.605640$ |
$181262952217/36846576$ |
$0.93816$ |
$4.96150$ |
$[1, -1, 1, -2027534, -894517203]$ |
\(y^2+xy+y=x^3-x^2-2027534x-894517203\) |
156.2.0.? |
$[(-505, 891)]$ |
67626.t1 |
67626bn2 |
67626.t |
67626bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$156$ |
$16$ |
$0$ |
$0.296014344$ |
$1$ |
|
$18$ |
$539136$ |
$1.652119$ |
$237747859417/26996736$ |
$0.96943$ |
$3.96691$ |
$[1, -1, 1, -50774, 3960677]$ |
\(y^2+xy+y=x^3-x^2-50774x+3960677\) |
3.8.0-3.a.1.2, 156.16.0.? |
$[(81, 571)]$ |
67626.t2 |
67626bn1 |
67626.t |
67626bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$156$ |
$16$ |
$0$ |
$0.888043033$ |
$1$ |
|
$4$ |
$179712$ |
$1.102814$ |
$2953092457/5616$ |
$0.92906$ |
$3.57234$ |
$[1, -1, 1, -11759, -487033]$ |
\(y^2+xy+y=x^3-x^2-11759x-487033\) |
3.8.0-3.a.1.1, 156.16.0.? |
$[(-63, 4)]$ |
67626.u1 |
67626s2 |
67626.u |
67626s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 13^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1233792$ |
$2.191433$ |
$54000891/8788$ |
$0.95916$ |
$4.52786$ |
$[1, -1, 1, -406244, -84392981]$ |
\(y^2+xy+y=x^3-x^2-406244x-84392981\) |
3.8.0-3.a.1.1, 156.16.0.? |
$[]$ |
67626.u2 |
67626s1 |
67626.u |
67626s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$411264$ |
$1.642126$ |
$813146499/832$ |
$1.00713$ |
$4.17902$ |
$[1, -1, 1, -111464, 14338667]$ |
\(y^2+xy+y=x^3-x^2-111464x+14338667\) |
3.8.0-3.a.1.2, 156.16.0.? |
$[]$ |
67626.v1 |
67626bg1 |
67626.v |
67626bg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 13^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5170176$ |
$2.800732$ |
$-8861981833/1038336$ |
$0.94316$ |
$5.21620$ |
$[1, -1, 1, -4901639, -4579100161]$ |
\(y^2+xy+y=x^3-x^2-4901639x-4579100161\) |
24.2.0.b.1 |
$[]$ |
67626.w1 |
67626bh3 |
67626.w |
67626bh |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$15912$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$907200$ |
$2.020298$ |
$-10730978619193/6656$ |
$1.02193$ |
$4.81895$ |
$[1, -1, 1, -1195214, 503239389]$ |
\(y^2+xy+y=x^3-x^2-1195214x+503239389\) |
3.4.0.a.1, 9.12.0.a.1, 51.8.0-3.a.1.2, 104.2.0.?, 117.36.0.?, $\ldots$ |
$[]$ |
67626.w2 |
67626bh2 |
67626.w |
67626bh |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$15912$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$302400$ |
$1.470993$ |
$-10218313/17576$ |
$0.94717$ |
$3.69636$ |
$[1, -1, 1, -11759, 981087]$ |
\(y^2+xy+y=x^3-x^2-11759x+981087\) |
3.12.0.a.1, 51.24.0-3.a.1.1, 104.2.0.?, 117.36.0.?, 312.24.1.?, $\ldots$ |
$[]$ |
67626.w3 |
67626bh1 |
67626.w |
67626bh |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{6} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$15912$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$100800$ |
$0.921687$ |
$12167/26$ |
$0.84415$ |
$3.05599$ |
$[1, -1, 1, 1246, -28101]$ |
\(y^2+xy+y=x^3-x^2+1246x-28101\) |
3.4.0.a.1, 9.12.0.a.1, 51.8.0-3.a.1.1, 104.2.0.?, 117.36.0.?, $\ldots$ |
$[]$ |
67626.x1 |
67626bd4 |
67626.x |
67626bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.346363$ |
$143820170742457/5826444$ |
$1.02007$ |
$5.05231$ |
$[1, -1, 1, -2839046, -1840450039]$ |
\(y^2+xy+y=x^3-x^2-2839046x-1840450039\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 204.24.0.?, 5304.48.0.? |
$[]$ |
67626.x2 |
67626bd3 |
67626.x |
67626bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.346363$ |
$4029546653497/351790452$ |
$0.92744$ |
$4.73088$ |
$[1, -1, 1, -862286, 284213225]$ |
\(y^2+xy+y=x^3-x^2-862286x+284213225\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[]$ |
67626.x3 |
67626bd2 |
67626.x |
67626bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$589824$ |
$1.999788$ |
$40459583737/7033104$ |
$0.89253$ |
$4.31717$ |
$[1, -1, 1, -186026, -25784359]$ |
\(y^2+xy+y=x^3-x^2-186026x-25784359\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 204.24.0.?, 2652.48.0.? |
$[]$ |
67626.x4 |
67626bd1 |
67626.x |
67626bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13 \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.653214$ |
$67419143/169728$ |
$0.85450$ |
$3.85069$ |
$[1, -1, 1, 22054, -2312935]$ |
\(y^2+xy+y=x^3-x^2+22054x-2312935\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 408.24.0.?, 1326.6.0.?, $\ldots$ |
$[]$ |
67626.y1 |
67626q2 |
67626.y |
67626q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.723255$ |
$1033364331/676$ |
$1.11849$ |
$4.28376$ |
$[1, -1, 1, -164351, -25589573]$ |
\(y^2+xy+y=x^3-x^2-164351x-25589573\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
67626.y2 |
67626q1 |
67626.y |
67626q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$248832$ |
$1.376682$ |
$-132651/208$ |
$1.11492$ |
$3.59594$ |
$[1, -1, 1, -8291, -557549]$ |
\(y^2+xy+y=x^3-x^2-8291x-557549\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
67626.z1 |
67626bl1 |
67626.z |
67626bl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{17} \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$8.991403922$ |
$1$ |
|
$0$ |
$1723392$ |
$2.617531$ |
$62452050119/59875686$ |
$1.02251$ |
$4.86570$ |
$[1, -1, 1, 1421392, -528931047]$ |
\(y^2+xy+y=x^3-x^2+1421392x-528931047\) |
24.2.0.b.1 |
$[(2732567/38, 5134765113/38)]$ |
67626.ba1 |
67626v1 |
67626.ba |
67626v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{15} \cdot 13^{5} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$23.92571197$ |
$1$ |
|
$0$ |
$15863040$ |
$3.608601$ |
$51875959429369/29232640476$ |
$1.05981$ |
$5.97961$ |
$[1, -1, 1, -88339118, -51759611935]$ |
\(y^2+xy+y=x^3-x^2-88339118x-51759611935\) |
156.2.0.? |
$[(-242729027895/9224, 331327576247561225/9224)]$ |
67626.bb1 |
67626ba1 |
67626.bb |
67626ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{25} \cdot 13^{5} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21395520$ |
$3.614948$ |
$-3772118414306118217515625/56562751486929272832$ |
$1.09281$ |
$6.19267$ |
$[1, -1, 1, -192972605, -1045024462587]$ |
\(y^2+xy+y=x^3-x^2-192972605x-1045024462587\) |
312.2.0.? |
$[]$ |
67626.bc1 |
67626u1 |
67626.bc |
67626u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$2.186368763$ |
$1$ |
|
$7$ |
$7372800$ |
$3.318298$ |
$771864882375147625/29358565696512$ |
$0.99298$ |
$5.82449$ |
$[1, -1, 1, -49706465, 130390498865]$ |
\(y^2+xy+y=x^3-x^2-49706465x+130390498865\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(4671, 8068)]$ |
67626.bc2 |
67626u2 |
67626.bc |
67626u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{5} \cdot 3^{26} \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$4.372737527$ |
$1$ |
|
$4$ |
$14745600$ |
$3.664871$ |
$55138849409108375/5449537181735712$ |
$1.04317$ |
$6.04888$ |
$[1, -1, 1, 20624575, 469751833073]$ |
\(y^2+xy+y=x^3-x^2+20624575x+469751833073\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(-6821, 111496)]$ |
67626.bd1 |
67626t2 |
67626.bd |
67626t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$7.932483462$ |
$1$ |
|
$0$ |
$589824$ |
$2.086452$ |
$2441288319625/1217268$ |
$0.92133$ |
$4.68582$ |
$[1, -1, 1, -729635, -239601009]$ |
\(y^2+xy+y=x^3-x^2-729635x-239601009\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(-12489/5, 6876/5)]$ |