| 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 |
| 8415.a1 |
8415k4 |
8415.a |
8415k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{10} \cdot 5^{3} \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$0.852098012$ |
$1$ |
|
$6$ |
$21504$ |
$1.458424$ |
$44588192560543801/9302151375$ |
$0.94473$ |
$4.97113$ |
$[1, -1, 1, -66488, 6614156]$ |
\(y^2+xy+y=x^3-x^2-66488x+6614156\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 132.12.0.?, 136.12.0.?, $\ldots$ |
$[(36, 2047)]$ |
| 8415.a2 |
8415k3 |
8415.a |
8415k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{7} \cdot 5^{12} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$3.408392051$ |
$1$ |
|
$2$ |
$21504$ |
$1.458424$ |
$4037984881634521/136962890625$ |
$0.98177$ |
$4.70539$ |
$[1, -1, 1, -29858, -1919248]$ |
\(y^2+xy+y=x^3-x^2-29858x-1919248\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 120.12.0.?, 132.12.0.?, $\ldots$ |
$[(-93, 262)]$ |
| 8415.a3 |
8415k2 |
8415.a |
8415k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11220$ |
$48$ |
$0$ |
$1.704196025$ |
$1$ |
|
$8$ |
$10752$ |
$1.111851$ |
$14888751553801/4917515625$ |
$0.90580$ |
$4.08544$ |
$[1, -1, 1, -4613, 80156]$ |
\(y^2+xy+y=x^3-x^2-4613x+80156\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 68.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[(6, 226)]$ |
| 8415.a4 |
8415k1 |
8415.a |
8415k |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{7} \cdot 5^{3} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$3.408392051$ |
$1$ |
|
$3$ |
$5376$ |
$0.765277$ |
$87469256519/93336375$ |
$0.87352$ |
$3.51704$ |
$[1, -1, 1, 832, 8282]$ |
\(y^2+xy+y=x^3-x^2+832x+8282\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 68.12.0-4.c.1.2, 264.12.0.?, $\ldots$ |
$[(72, 625)]$ |
| 8415.b1 |
8415d2 |
8415.b |
8415d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{3} \cdot 5^{5} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28800$ |
$1.564892$ |
$622929950501217507/9127018278125$ |
$0.99623$ |
$4.89823$ |
$[1, -1, 1, -53378, -4672838]$ |
\(y^2+xy+y=x^3-x^2-53378x-4672838\) |
2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[]$ |
| 8415.b2 |
8415d1 |
8415.b |
8415d |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{3} \cdot 5^{10} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14400$ |
$1.218317$ |
$1126259840967507/527763671875$ |
$0.98808$ |
$4.19943$ |
$[1, -1, 1, -6503, 89662]$ |
\(y^2+xy+y=x^3-x^2-6503x+89662\) |
2.3.0.a.1, 60.6.0.b.1, 1122.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[]$ |
| 8415.c1 |
8415c1 |
8415.c |
8415c |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{9} \cdot 5^{5} \cdot 11 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4800$ |
$0.617069$ |
$537367797/584375$ |
$0.81199$ |
$3.31826$ |
$[1, -1, 1, 457, -3644]$ |
\(y^2+xy+y=x^3-x^2+457x-3644\) |
11220.2.0.? |
$[]$ |
| 8415.d1 |
8415e1 |
8415.d |
8415e |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{3} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.698373553$ |
$1$ |
|
$4$ |
$1728$ |
$0.115839$ |
$-16060229667/270215$ |
$1.01576$ |
$2.96800$ |
$[1, -1, 1, -158, -734]$ |
\(y^2+xy+y=x^3-x^2-158x-734\) |
11220.2.0.? |
$[(16, 17)]$ |
| 8415.e1 |
8415j1 |
8415.e |
8415j |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{3} \cdot 5^{11} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.054848075$ |
$1$ |
|
$12$ |
$221760$ |
$2.470673$ |
$-426297217929651309023523/16175874365234375$ |
$1.01965$ |
$6.38491$ |
$[1, -1, 1, -4703822, 3927974546]$ |
\(y^2+xy+y=x^3-x^2-4703822x+3927974546\) |
11220.2.0.? |
$[(1266, 274)]$ |
| 8415.f1 |
8415n3 |
8415.f |
8415n |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{13} \cdot 5^{3} \cdot 11^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$279552$ |
$2.630169$ |
$343278919869647291747209/334291413963375$ |
$1.06979$ |
$6.72561$ |
$[1, -1, 1, -13128557, -18306080386]$ |
\(y^2+xy+y=x^3-x^2-13128557x-18306080386\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 4488.24.0.?, 7480.24.0.?, $\ldots$ |
$[]$ |
| 8415.f2 |
8415n2 |
8415.f |
8415n |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{20} \cdot 5^{6} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$11220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$139776$ |
$2.283596$ |
$85705982088578117209/2613369421265625$ |
$1.02205$ |
$5.80775$ |
$[1, -1, 1, -826682, -281373136]$ |
\(y^2+xy+y=x^3-x^2-826682x-281373136\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 2244.24.0.?, 3740.24.0.?, $\ldots$ |
$[]$ |
| 8415.f3 |
8415n1 |
8415.f |
8415n |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{13} \cdot 5^{12} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$69888$ |
$1.937021$ |
$286150792766867209/99845947265625$ |
$0.96469$ |
$5.17683$ |
$[1, -1, 1, -123557, 10564364]$ |
\(y^2+xy+y=x^3-x^2-123557x+10564364\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 1122.6.0.?, 2244.24.0.?, $\ldots$ |
$[]$ |
| 8415.f4 |
8415n4 |
8415.f |
8415n |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{34} \cdot 5^{3} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$279552$ |
$2.630169$ |
$1732457747755512791/534745023634713375$ |
$1.07705$ |
$6.07064$ |
$[1, -1, 1, 225193, -949103386]$ |
\(y^2+xy+y=x^3-x^2+225193x-949103386\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 8415.g1 |
8415i2 |
8415.g |
8415i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{3} \cdot 5 \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$0.642267479$ |
$1$ |
|
$6$ |
$1152$ |
$0.035941$ |
$3157114563/174845$ |
$0.80895$ |
$2.78484$ |
$[1, -1, 1, -92, 344]$ |
\(y^2+xy+y=x^3-x^2-92x+344\) |
2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[(4, 3)]$ |
| 8415.g2 |
8415i1 |
8415.g |
8415i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{3} \cdot 5^{2} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1.284534959$ |
$1$ |
|
$5$ |
$576$ |
$-0.310632$ |
$19034163/4675$ |
$0.81448$ |
$2.21931$ |
$[1, -1, 1, -17, -16]$ |
\(y^2+xy+y=x^3-x^2-17x-16\) |
2.3.0.a.1, 60.6.0.b.1, 1122.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[(-2, 3)]$ |
| 8415.h1 |
8415o3 |
8415.h |
8415o |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{10} \cdot 5^{2} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$28672$ |
$1.443085$ |
$1714251504439303129/378675$ |
$0.96252$ |
$5.37491$ |
$[1, -1, 1, -224402, -40859346]$ |
\(y^2+xy+y=x^3-x^2-224402x-40859346\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 8415.h2 |
8415o2 |
8415.h |
8415o |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{8} \cdot 5^{4} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$14336$ |
$1.096512$ |
$418660076257129/196700625$ |
$0.91767$ |
$4.45461$ |
$[1, -1, 1, -14027, -635646]$ |
\(y^2+xy+y=x^3-x^2-14027x-635646\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 204.24.0.?, 748.24.0.?, $\ldots$ |
$[]$ |
| 8415.h3 |
8415o4 |
8415.h |
8415o |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{7} \cdot 5^{8} \cdot 11^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28672$ |
$1.443085$ |
$-244950111766009/291676171875$ |
$0.93067$ |
$4.51897$ |
$[1, -1, 1, -11732, -852294]$ |
\(y^2+xy+y=x^3-x^2-11732x-852294\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 8415.h4 |
8415o1 |
8415.h |
8415o |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7168$ |
$0.749938$ |
$161789533849/68904825$ |
$0.87566$ |
$3.58509$ |
$[1, -1, 1, -1022, -6204]$ |
\(y^2+xy+y=x^3-x^2-1022x-6204\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 66.6.0.a.1, 132.24.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 8415.i1 |
8415l1 |
8415.i |
8415l |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{6} \cdot 5^{6} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35136$ |
$1.461943$ |
$-251784668965666816/353546875$ |
$0.98443$ |
$5.16267$ |
$[0, 0, 1, -118398, -15680691]$ |
\(y^2+y=x^3-118398x-15680691\) |
3.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[]$ |
| 8415.i2 |
8415l2 |
8415.i |
8415l |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{6} \cdot 5^{2} \cdot 11^{9} \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$105408$ |
$2.011250$ |
$-99546392709922816/289614925147075$ |
$1.08051$ |
$5.25875$ |
$[0, 0, 1, -86898, -24206166]$ |
\(y^2+y=x^3-86898x-24206166\) |
3.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[]$ |
| 8415.j1 |
8415p1 |
8415.j |
8415p |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{12} \cdot 5^{4} \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$1.316984$ |
$-724731558068224/24623341875$ |
$0.95211$ |
$4.52164$ |
$[0, 0, 1, -16842, -865620]$ |
\(y^2+y=x^3-16842x-865620\) |
3.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[]$ |
| 8415.j2 |
8415p2 |
8415.j |
8415p |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{8} \cdot 5^{12} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$41472$ |
$1.866291$ |
$76363175346569216/49717529296875$ |
$1.03211$ |
$5.03066$ |
$[0, 0, 1, 79548, -3053673]$ |
\(y^2+y=x^3+79548x-3053673\) |
3.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[]$ |
| 8415.k1 |
8415m1 |
8415.k |
8415m |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{6} \cdot 5^{2} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.490025201$ |
$1$ |
|
$4$ |
$960$ |
$-0.065414$ |
$-262144/4675$ |
$1.01736$ |
$2.49268$ |
$[0, 0, 1, -12, 90]$ |
\(y^2+y=x^3-12x+90\) |
374.2.0.? |
$[(8, 22)]$ |
| 8415.l1 |
8415b1 |
8415.l |
8415b |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{9} \cdot 5^{11} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$665280$ |
$3.019978$ |
$-426297217929651309023523/16175874365234375$ |
$1.01965$ |
$7.11425$ |
$[1, -1, 0, -42334395, -106012978354]$ |
\(y^2+xy=x^3-x^2-42334395x-106012978354\) |
11220.2.0.? |
$[]$ |
| 8415.m1 |
8415a2 |
8415.m |
8415a |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$0.585248$ |
$3157114563/174845$ |
$0.80895$ |
$3.51419$ |
$[1, -1, 0, -825, -8470]$ |
\(y^2+xy=x^3-x^2-825x-8470\) |
2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[]$ |
| 8415.m2 |
8415a1 |
8415.m |
8415a |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{9} \cdot 5^{2} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$0.238674$ |
$19034163/4675$ |
$0.81448$ |
$2.94865$ |
$[1, -1, 0, -150, 575]$ |
\(y^2+xy=x^3-x^2-150x+575\) |
2.3.0.a.1, 60.6.0.b.1, 1122.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[]$ |
| 8415.n1 |
8415g2 |
8415.n |
8415g |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{9} \cdot 5^{5} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$0.543524997$ |
$1$ |
|
$4$ |
$86400$ |
$2.114197$ |
$622929950501217507/9127018278125$ |
$0.99623$ |
$5.62757$ |
$[1, -1, 0, -480399, 126647018]$ |
\(y^2+xy=x^3-x^2-480399x+126647018\) |
2.3.0.a.1, 60.6.0.a.1, 2244.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[(322, 2134)]$ |
| 8415.n2 |
8415g1 |
8415.n |
8415g |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{9} \cdot 5^{10} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1.087049995$ |
$1$ |
|
$3$ |
$43200$ |
$1.767624$ |
$1126259840967507/527763671875$ |
$0.98808$ |
$4.92878$ |
$[1, -1, 0, -58524, -2362357]$ |
\(y^2+xy=x^3-x^2-58524x-2362357\) |
2.3.0.a.1, 60.6.0.b.1, 1122.6.0.?, 3740.6.0.?, 11220.12.0.? |
$[(-118, 1759)]$ |
| 8415.o1 |
8415q3 |
8415.o |
8415q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{9} \cdot 5^{8} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$1.630672$ |
$2162548495235945809/1972265625$ |
$0.96357$ |
$5.40061$ |
$[1, -1, 0, -242469, 46015600]$ |
\(y^2+xy=x^3-x^2-242469x+46015600\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[]$ |
| 8415.o2 |
8415q2 |
8415.o |
8415q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$18432$ |
$1.284100$ |
$539532064700929/15932750625$ |
$0.91993$ |
$4.48268$ |
$[1, -1, 0, -15264, 710923]$ |
\(y^2+xy=x^3-x^2-15264x+710923\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 68.12.0.a.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 8415.o3 |
8415q1 |
8415.o |
8415q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.937526$ |
$1749254553649/620143425$ |
$0.89069$ |
$3.84850$ |
$[1, -1, 0, -2259, -25160]$ |
\(y^2+xy=x^3-x^2-2259x-25160\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 8415.o4 |
8415q4 |
8415.o |
8415q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{18} \cdot 5^{2} \cdot 11^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$1.630672$ |
$8730363285071/3306851764425$ |
$1.19388$ |
$4.74363$ |
$[1, -1, 0, 3861, 2359498]$ |
\(y^2+xy=x^3-x^2+3861x+2359498\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0.h.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 8415.p1 |
8415f1 |
8415.p |
8415f |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{9} \cdot 5 \cdot 11 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.665145$ |
$-16060229667/270215$ |
$1.01576$ |
$3.69735$ |
$[1, -1, 0, -1419, 21230]$ |
\(y^2+xy=x^3-x^2-1419x+21230\) |
11220.2.0.? |
$[]$ |
| 8415.q1 |
8415h1 |
8415.q |
8415h |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 3^{3} \cdot 5^{5} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$0.411631163$ |
$1$ |
|
$4$ |
$1600$ |
$0.067763$ |
$537367797/584375$ |
$0.81199$ |
$2.58892$ |
$[1, -1, 0, 51, 118]$ |
\(y^2+xy=x^3-x^2+51x+118\) |
11220.2.0.? |
$[(2, 14)]$ |
