| 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 |
| 3042.a1 |
3042f3 |
3042.a |
3042f |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$1.886168$ |
$-10730978619193/6656$ |
$1.02193$ |
$6.48177$ |
$[1, -1, 0, -698931, 225080181]$ |
\(y^2+xy=x^3-x^2-698931x+225080181\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.8, 39.8.0-3.a.1.1, 72.24.0.?, $\ldots$ |
$[]$ |
| 3042.a2 |
3042f2 |
3042.a |
3042f |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$1.336861$ |
$-10218313/17576$ |
$0.94717$ |
$4.92507$ |
$[1, -1, 0, -6876, 439128]$ |
\(y^2+xy=x^3-x^2-6876x+439128\) |
3.12.0.a.1, 24.24.0-3.a.1.4, 39.24.0-3.a.1.1, 104.2.0.?, 117.72.0.?, $\ldots$ |
$[]$ |
| 3042.a3 |
3042f1 |
3042.a |
3042f |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.787555$ |
$12167/26$ |
$0.84415$ |
$4.03707$ |
$[1, -1, 0, 729, -12609]$ |
\(y^2+xy=x^3-x^2+729x-12609\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.7, 39.8.0-3.a.1.2, 72.24.0.?, $\ldots$ |
$[]$ |
| 3042.b1 |
3042a2 |
3042.b |
3042a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.120842842$ |
$1$ |
|
$6$ |
$16128$ |
$1.589123$ |
$1033364331/676$ |
$1.11849$ |
$5.73962$ |
$[1, -1, 0, -96108, -11437516]$ |
\(y^2+xy=x^3-x^2-96108x-11437516\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(-182, 64)]$ |
| 3042.b2 |
3042a1 |
3042.b |
3042a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.241685685$ |
$1$ |
|
$5$ |
$8064$ |
$1.242550$ |
$-132651/208$ |
$1.11492$ |
$4.78582$ |
$[1, -1, 0, -4848, -249040]$ |
\(y^2+xy=x^3-x^2-4848x-249040\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(92, 232)]$ |
| 3042.c1 |
3042g4 |
3042.c |
3042g |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$12.57141927$ |
$1$ |
|
$0$ |
$249600$ |
$3.001785$ |
$18013780041269221/9216$ |
$1.09234$ |
$8.36707$ |
$[1, -1, 0, -107985708, -431887255344]$ |
\(y^2+xy=x^3-x^2-107985708x-431887255344\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[(73243000/23, 624166030428/23)]$ |
| 3042.c2 |
3042g3 |
3042.c |
3042g |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{20} \cdot 3^{7} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$25.14283855$ |
$1$ |
|
$1$ |
$124800$ |
$2.655212$ |
$-4395631034341/3145728$ |
$1.06506$ |
$7.33006$ |
$[1, -1, 0, -6747948, -6749406000]$ |
\(y^2+xy=x^3-x^2-6747948x-6749406000\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.2, $\ldots$ |
$[(2547569664376/8579, 4043432938769613772/8579)]$ |
| 3042.c3 |
3042g2 |
3042.c |
3042g |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$2.514283855$ |
$1$ |
|
$4$ |
$49920$ |
$2.197067$ |
$476379541/236196$ |
$1.06546$ |
$6.19155$ |
$[1, -1, 0, -321723, 26662689]$ |
\(y^2+xy=x^3-x^2-321723x+26662689\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[(634, 8471)]$ |
| 3042.c4 |
3042g1 |
3042.c |
3042g |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$5.028567710$ |
$1$ |
|
$3$ |
$24960$ |
$1.850494$ |
$5735339/3888$ |
$1.16005$ |
$5.64050$ |
$[1, -1, 0, 73737, 3172365]$ |
\(y^2+xy=x^3-x^2+73737x+3172365\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.1, $\ldots$ |
$[(22, 2181)]$ |
| 3042.d1 |
3042c1 |
3042.d |
3042c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$104$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19968$ |
$1.779949$ |
$-169/144$ |
$1.17559$ |
$5.56919$ |
$[1, -1, 0, -5355, 5791189]$ |
\(y^2+xy=x^3-x^2-5355x+5791189\) |
4.2.0.a.1, 104.4.0.? |
$[]$ |
| 3042.e1 |
3042b2 |
3042.e |
3042b |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1092$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$34944$ |
$2.028709$ |
$-38575685889/16384$ |
$1.08547$ |
$6.41972$ |
$[1, -1, 0, -591954, 175511636]$ |
\(y^2+xy=x^3-x^2-591954x+175511636\) |
4.8.0.b.1, 7.8.0.a.1, 12.16.0-4.b.1.1, 21.16.0-7.a.1.1, 28.128.5.b.1, $\ldots$ |
$[]$ |
| 3042.e2 |
3042b1 |
3042.e |
3042b |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1092$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$4992$ |
$1.055754$ |
$351/4$ |
$1.27279$ |
$4.47618$ |
$[1, -1, 0, 1236, -72604]$ |
\(y^2+xy=x^3-x^2+1236x-72604\) |
4.8.0.b.1, 7.8.0.a.1, 12.16.0-4.b.1.1, 21.16.0-7.a.1.2, 28.128.5.b.2, $\ldots$ |
$[]$ |
| 3042.f1 |
3042d3 |
3042.f |
3042d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$215040$ |
$2.799858$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.90676$ |
$[1, -1, 0, -31544811, -68185140971]$ |
\(y^2+xy=x^3-x^2-31544811x-68185140971\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[]$ |
| 3042.f2 |
3042d4 |
3042.f |
3042d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{26} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.799858$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$7.09054$ |
$[1, -1, 0, -3558411, 877166005]$ |
\(y^2+xy=x^3-x^2-3558411x+877166005\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$ |
$[]$ |
| 3042.f3 |
3042d2 |
3042.f |
3042d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$107520$ |
$2.453285$ |
$242702053576633/2554695936$ |
$1.10395$ |
$6.87062$ |
$[1, -1, 0, -1976571, -1059322523]$ |
\(y^2+xy=x^3-x^2-1976571x-1059322523\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[]$ |
| 3042.f4 |
3042d1 |
3042.f |
3042d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{11} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$2.106712$ |
$-822656953/207028224$ |
$1.08584$ |
$6.05799$ |
$[1, -1, 0, -29691, -41104283]$ |
\(y^2+xy=x^3-x^2-29691x-41104283\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.13, $\ldots$ |
$[]$ |
| 3042.g1 |
3042h2 |
3042.g |
3042h |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$4.285595275$ |
$1$ |
|
$2$ |
$3600$ |
$0.850447$ |
$-1680914269/32768$ |
$1.02322$ |
$4.43405$ |
$[1, -1, 0, -2898, -60332]$ |
\(y^2+xy=x^3-x^2-2898x-60332\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(231, 3284)]$ |
| 3042.g2 |
3042h1 |
3042.g |
3042h |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$0.857119055$ |
$1$ |
|
$4$ |
$720$ |
$0.045728$ |
$1331/8$ |
$0.93577$ |
$2.95744$ |
$[1, -1, 0, 27, 157]$ |
\(y^2+xy=x^3-x^2+27x+157\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(-3, 8)]$ |
| 3042.h1 |
3042e1 |
3042.h |
3042e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.682034$ |
$-156116857/186624$ |
$1.01025$ |
$3.95348$ |
$[1, -1, 0, -558, -8748]$ |
\(y^2+xy=x^3-x^2-558x-8748\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 3042.h2 |
3042e2 |
3042.h |
3042e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.231339$ |
$93603087383/150994944$ |
$1.05810$ |
$4.68372$ |
$[1, -1, 0, 4707, 164997]$ |
\(y^2+xy=x^3-x^2+4707x+164997\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 3042.i1 |
3042m1 |
3042.i |
3042m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.8.0.2 |
3B.1.2 |
$24$ |
$32$ |
$0$ |
$0.685314465$ |
$1$ |
|
$6$ |
$39936$ |
$1.964508$ |
$-156116857/186624$ |
$1.01025$ |
$5.87233$ |
$[1, -1, 1, -94334, -19502323]$ |
\(y^2+xy+y=x^3-x^2-94334x-19502323\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.16.0-12.a.1.5, 24.32.0-24.b.2.8 |
$[(465, 5851)]$ |
| 3042.i2 |
3042m2 |
3042.i |
3042m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{8} \cdot 13^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.4.0.2, 3.8.0.1 |
3B.1.1 |
$24$ |
$32$ |
$0$ |
$2.055943397$ |
$1$ |
|
$8$ |
$119808$ |
$2.513813$ |
$93603087383/150994944$ |
$1.05810$ |
$6.60257$ |
$[1, -1, 1, 795451, 364884797]$ |
\(y^2+xy+y=x^3-x^2+795451x+364884797\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 8.4.0-4.a.1.1, 12.16.0-12.a.1.6, 24.32.0-24.b.1.8 |
$[(465, 28666)]$ |
| 3042.j1 |
3042o2 |
3042.j |
3042o |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$46800$ |
$2.132923$ |
$-1680914269/32768$ |
$1.02322$ |
$6.35290$ |
$[1, -1, 1, -489794, -134018751]$ |
\(y^2+xy+y=x^3-x^2-489794x-134018751\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
| 3042.j2 |
3042o1 |
3042.j |
3042o |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$9360$ |
$1.328203$ |
$1331/8$ |
$0.93577$ |
$4.87629$ |
$[1, -1, 1, 4531, 358557]$ |
\(y^2+xy+y=x^3-x^2+4531x+358557\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
| 3042.k1 |
3042l2 |
3042.k |
3042l |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1092$ |
$768$ |
$21$ |
$0.107569973$ |
$1$ |
|
$10$ |
$2688$ |
$0.746233$ |
$-38575685889/16384$ |
$1.08547$ |
$4.50087$ |
$[1, -1, 1, -3503, 80695]$ |
\(y^2+xy+y=x^3-x^2-3503x+80695\) |
4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.1, 91.24.0.?, 156.16.0.?, $\ldots$ |
$[(19, 134)]$ |
| 3042.k2 |
3042l1 |
3042.k |
3042l |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1092$ |
$768$ |
$21$ |
$0.752989816$ |
$1$ |
|
$2$ |
$384$ |
$-0.226722$ |
$351/4$ |
$1.27279$ |
$2.55733$ |
$[1, -1, 1, 7, -35]$ |
\(y^2+xy+y=x^3-x^2+7x-35\) |
4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 156.16.0.?, $\ldots$ |
$[(7, 14)]$ |
| 3042.l1 |
3042k2 |
3042.l |
3042k |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{6} \cdot 13^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$2184$ |
$96$ |
$2$ |
$3.903989467$ |
$1$ |
|
$0$ |
$32928$ |
$2.121574$ |
$-1064019559329/125497034$ |
$1.06269$ |
$6.21674$ |
$[1, -1, 1, -323498, 77783203]$ |
\(y^2+xy+y=x^3-x^2-323498x+77783203\) |
7.24.0.a.2, 104.2.0.?, 168.48.0.?, 273.48.0.?, 728.48.2.?, $\ldots$ |
$[(3431/10, 8150791/10)]$ |
| 3042.l2 |
3042k1 |
3042.l |
3042k |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$2184$ |
$96$ |
$2$ |
$0.557712781$ |
$1$ |
|
$4$ |
$4704$ |
$1.148621$ |
$-2146689/1664$ |
$0.96784$ |
$4.66452$ |
$[1, -1, 1, -4088, -152837]$ |
\(y^2+xy+y=x^3-x^2-4088x-152837\) |
7.24.0.a.1, 104.2.0.?, 168.48.0.?, 273.48.0.?, 728.48.2.?, $\ldots$ |
$[(101, 625)]$ |
| 3042.m1 |
3042j1 |
3042.m |
3042j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$0.174573878$ |
$1$ |
|
$6$ |
$1536$ |
$0.497475$ |
$-169/144$ |
$1.17559$ |
$3.65034$ |
$[1, -1, 1, -32, 2643]$ |
\(y^2+xy+y=x^3-x^2-32x+2643\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[(23, 105)]$ |
| 3042.n1 |
3042n4 |
3042.n |
3042n |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$1.719313$ |
$18013780041269221/9216$ |
$1.09234$ |
$6.44822$ |
$[1, -1, 1, -638969, -196432999]$ |
\(y^2+xy+y=x^3-x^2-638969x-196432999\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 3042.n2 |
3042n3 |
3042.n |
3042n |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{20} \cdot 3^{7} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$9600$ |
$1.372738$ |
$-4395631034341/3145728$ |
$1.06506$ |
$5.41121$ |
$[1, -1, 1, -39929, -3062887]$ |
\(y^2+xy+y=x^3-x^2-39929x-3062887\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.2, $\ldots$ |
$[]$ |
| 3042.n3 |
3042n2 |
3042.n |
3042n |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.914593$ |
$476379541/236196$ |
$1.06546$ |
$4.27270$ |
$[1, -1, 1, -1904, 12575]$ |
\(y^2+xy+y=x^3-x^2-1904x+12575\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 3042.n4 |
3042n1 |
3042.n |
3042n |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.568020$ |
$5735339/3888$ |
$1.16005$ |
$3.72165$ |
$[1, -1, 1, 436, 1343]$ |
\(y^2+xy+y=x^3-x^2+436x+1343\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.1, $\ldots$ |
$[]$ |
| 3042.o1 |
3042i2 |
3042.o |
3042i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5376$ |
$1.039818$ |
$1033364331/676$ |
$1.11849$ |
$4.91774$ |
$[1, -1, 1, -10679, 427171]$ |
\(y^2+xy+y=x^3-x^2-10679x+427171\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 3042.o2 |
3042i1 |
3042.o |
3042i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2688$ |
$0.693244$ |
$-132651/208$ |
$1.11492$ |
$3.96395$ |
$[1, -1, 1, -539, 9403]$ |
\(y^2+xy+y=x^3-x^2-539x+9403\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
