| 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 |
| 57498.a1 |
57498g1 |
57498.a |
57498g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 37^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$148$ |
$16$ |
$0$ |
$0.384348756$ |
$1$ |
|
$20$ |
$29952$ |
$0.420155$ |
$989043263/777924$ |
$0.91814$ |
$2.54885$ |
$[1, 1, 0, 231, -711]$ |
\(y^2+xy=x^3+x^2+231x-711\) |
4.8.0.b.1, 148.16.0.? |
$[(12, 57), (3, 3)]$ |
| 57498.b1 |
57498c2 |
57498.b |
57498c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$3.687864414$ |
$1$ |
|
$2$ |
$612864$ |
$1.788364$ |
$351447414193/344988$ |
$0.90113$ |
$4.40265$ |
$[1, 1, 0, -201271, -34809719]$ |
\(y^2+xy=x^3+x^2-201271x-34809719\) |
2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.? |
$[(-260, 301)]$ |
| 57498.b2 |
57498c1 |
57498.b |
57498c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$7.375728829$ |
$1$ |
|
$1$ |
$306432$ |
$1.441792$ |
$-38272753/87024$ |
$0.83958$ |
$3.71558$ |
$[1, 1, 0, -9611, -809235]$ |
\(y^2+xy=x^3+x^2-9611x-809235\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(2578/3, 117011/3)]$ |
| 57498.c1 |
57498a1 |
57498.c |
57498a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 7 \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$17.29839549$ |
$1$ |
|
$0$ |
$1641600$ |
$2.326824$ |
$-7347774183121/2757144096$ |
$0.93306$ |
$4.72565$ |
$[1, 1, 0, -554473, -204264539]$ |
\(y^2+xy=x^3+x^2-554473x-204264539\) |
6216.2.0.? |
$[(795419829/947, 1009845794150/947)]$ |
| 57498.d1 |
57498d2 |
57498.d |
57498d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 37^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$3108$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$6905088$ |
$3.280266$ |
$16865845211125/5489031744$ |
$0.99823$ |
$5.74429$ |
$[1, 1, 0, -27062420, 35835135504]$ |
\(y^2+xy=x^3+x^2-27062420x+35835135504\) |
2.3.0.a.1, 3.6.0.b.1, 6.36.0.b.1, 74.6.0.?, 84.72.1.?, $\ldots$ |
$[]$ |
| 57498.d2 |
57498d1 |
57498.d |
57498d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 37^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$3108$ |
$144$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3452544$ |
$2.933693$ |
$1087959899125/37933056$ |
$1.05742$ |
$5.49419$ |
$[1, 1, 0, -10853460, -13346090928]$ |
\(y^2+xy=x^3+x^2-10853460x-13346090928\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.b.1, 42.36.0.b.1, $\ldots$ |
$[]$ |
| 57498.e1 |
57498e2 |
57498.e |
57498e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{10} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7879680$ |
$3.130333$ |
$94162220003958625/54181012560192$ |
$1.04683$ |
$5.54307$ |
$[1, 1, 0, -12975410, -1364509836]$ |
\(y^2+xy=x^3+x^2-12975410x-1364509836\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[]$ |
| 57498.e2 |
57498e1 |
57498.e |
57498e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{5} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3939840$ |
$2.783760$ |
$1457309849609375/848195776512$ |
$1.13949$ |
$5.16272$ |
$[1, 1, 0, 3233550, -168288588]$ |
\(y^2+xy=x^3+x^2+3233550x-168288588\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[]$ |
| 57498.f1 |
57498b4 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$4144$ |
$192$ |
$1$ |
$1.277093503$ |
$1$ |
|
$2$ |
$774144$ |
$1.994560$ |
$268498407453697/252$ |
$1.05727$ |
$5.00838$ |
$[1, 1, 0, -1839964, 959876932]$ |
\(y^2+xy=x^3+x^2-1839964x+959876932\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$ |
$[(866, 3674)]$ |
| 57498.f2 |
57498b6 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4144$ |
$192$ |
$1$ |
$10.21674803$ |
$1$ |
|
$0$ |
$1548288$ |
$2.341133$ |
$84448510979617/933897762$ |
$1.05309$ |
$4.90284$ |
$[1, 1, 0, -1251294, -534099078]$ |
\(y^2+xy=x^3+x^2-1251294x-534099078\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 148.12.0.?, $\ldots$ |
$[(727819/21, 395976748/21)]$ |
| 57498.f3 |
57498b3 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 7^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$2072$ |
$192$ |
$1$ |
$5.108374015$ |
$1$ |
|
$2$ |
$774144$ |
$1.994560$ |
$124475734657/63011844$ |
$1.06499$ |
$4.30794$ |
$[1, 1, 0, -142404, 7261020]$ |
\(y^2+xy=x^3+x^2-142404x+7261020\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 56.96.1.bp.2, 148.24.0.?, $\ldots$ |
$[(4945/3, 256115/3)]$ |
| 57498.f4 |
57498b2 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$2072$ |
$192$ |
$1$ |
$2.554187007$ |
$1$ |
|
$6$ |
$387072$ |
$1.647987$ |
$65597103937/63504$ |
$1.01692$ |
$4.24949$ |
$[1, 1, 0, -115024, 14954800]$ |
\(y^2+xy=x^3+x^2-115024x+14954800\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 56.96.1.by.1, $\ldots$ |
$[(175, 385)]$ |
| 57498.f5 |
57498b1 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$4144$ |
$192$ |
$1$ |
$1.277093503$ |
$1$ |
|
$7$ |
$193536$ |
$1.301413$ |
$-7189057/16128$ |
$0.98224$ |
$3.56202$ |
$[1, 1, 0, -5504, 344832]$ |
\(y^2+xy=x^3+x^2-5504x+344832\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[(-59, 714)]$ |
| 57498.f6 |
57498b5 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2 \cdot 3^{16} \cdot 7^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$4144$ |
$192$ |
$1$ |
$10.21674803$ |
$1$ |
|
$0$ |
$1548288$ |
$2.341133$ |
$6359387729183/4218578658$ |
$1.08314$ |
$4.66686$ |
$[1, 1, 0, 528406, 56766798]$ |
\(y^2+xy=x^3+x^2+528406x+56766798\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 56.48.0.bc.1, $\ldots$ |
$[(304639/33, 535909849/33)]$ |
| 57498.g1 |
57498f1 |
57498.g |
57498f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3 \cdot 7 \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196992$ |
$1.261036$ |
$-38272753/6216$ |
$0.80407$ |
$3.59260$ |
$[1, 1, 0, -9611, 406437]$ |
\(y^2+xy=x^3+x^2-9611x+406437\) |
6216.2.0.? |
$[]$ |
| 57498.h1 |
57498l1 |
57498.h |
57498l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 7 \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$0.435346104$ |
$1$ |
|
$6$ |
$50400$ |
$0.478561$ |
$7599023/1741824$ |
$0.97707$ |
$2.65016$ |
$[1, 0, 1, 45, 2350]$ |
\(y^2+xy+y=x^3+45x+2350\) |
84.2.0.? |
$[(-1, 48)]$ |
| 57498.i1 |
57498j2 |
57498.i |
57498j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$11.40015064$ |
$1$ |
|
$0$ |
$1313280$ |
$2.315536$ |
$1504154129818033/5519808$ |
$1.03070$ |
$5.16561$ |
$[1, 0, 1, -3267832, -2273988346]$ |
\(y^2+xy+y=x^3-3267832x-2273988346\) |
2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.? |
$[(-4690007/67, 137908217/67)]$ |
| 57498.i2 |
57498j1 |
57498.i |
57498j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$22.80030129$ |
$1$ |
|
$1$ |
$656640$ |
$1.968964$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.41213$ |
$[1, 0, 1, -201272, -36626170]$ |
\(y^2+xy+y=x^3-201272x-36626170\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(46051647145/8241, 6403621033611115/8241)]$ |
| 57498.j1 |
57498i2 |
57498.j |
57498i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$5.404408669$ |
$1$ |
|
$2$ |
$875520$ |
$2.067196$ |
$54117385890625/587412$ |
$0.98539$ |
$4.86223$ |
$[1, 0, 1, -1078801, -431366368]$ |
\(y^2+xy+y=x^3-1078801x-431366368\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[(1297, 18104)]$ |
| 57498.j2 |
57498i1 |
57498.j |
57498i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$10.80881733$ |
$1$ |
|
$1$ |
$437760$ |
$1.720621$ |
$-12246522625/1379952$ |
$0.87355$ |
$4.11259$ |
$[1, 0, 1, -65741, -7096840]$ |
\(y^2+xy+y=x^3-65741x-7096840\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[(116775/19, 14989690/19)]$ |
| 57498.k1 |
57498m2 |
57498.k |
57498m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{4} \cdot 37^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10229760$ |
$3.446129$ |
$154240738777189/36294822144$ |
$1.00501$ |
$5.94624$ |
$[1, 0, 1, -56593120, 126224480558]$ |
\(y^2+xy+y=x^3-56593120x+126224480558\) |
2.3.0.a.1, 12.6.0.f.1, 74.6.0.?, 444.12.0.? |
$[]$ |
| 57498.k2 |
57498m1 |
57498.k |
57498m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{2} \cdot 37^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5114880$ |
$3.099552$ |
$476562552731/780337152$ |
$0.98855$ |
$5.47398$ |
$[1, 0, 1, 8242720, 12320876846]$ |
\(y^2+xy+y=x^3+8242720x+12320876846\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[]$ |
| 57498.l1 |
57498h1 |
57498.l |
57498h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 7 \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$853632$ |
$1.975288$ |
$6058428767/57286656$ |
$0.92119$ |
$4.28127$ |
$[1, 0, 1, 51993, 17876458]$ |
\(y^2+xy+y=x^3+51993x+17876458\) |
6216.2.0.? |
$[]$ |
| 57498.m1 |
57498k3 |
57498.m |
57498k |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 37^{15} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$18648$ |
$144$ |
$3$ |
$7.200025397$ |
$9$ |
$3$ |
$2$ |
$47869056$ |
$3.851707$ |
$-446030778735169043473/267461260498268466$ |
$1.01968$ |
$6.38017$ |
$[1, 0, 1, -217913342, -1766800687798]$ |
\(y^2+xy+y=x^3-217913342x-1766800687798\) |
3.4.0.a.1, 9.36.0.d.2, 111.8.0.?, 168.8.0.?, 333.72.0.?, $\ldots$ |
$[(40370, 7411431)]$ |
| 57498.m2 |
57498k1 |
57498.m |
57498k |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{3} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$18648$ |
$144$ |
$3$ |
$0.800002821$ |
$1$ |
|
$4$ |
$5318784$ |
$2.753094$ |
$-11980221891814513/127896039936$ |
$0.96940$ |
$5.35661$ |
$[1, 0, 1, -6526052, 6475252322]$ |
\(y^2+xy+y=x^3-6526052x+6475252322\) |
3.4.0.a.1, 9.36.0.d.1, 111.8.0.?, 168.8.0.?, 333.72.0.?, $\ldots$ |
$[(780, 42733)]$ |
| 57498.m3 |
57498k2 |
57498.m |
57498k |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$18648$ |
$144$ |
$3$ |
$2.400008465$ |
$1$ |
|
$2$ |
$15956352$ |
$3.302399$ |
$432326451325256207/441510751160136$ |
$1.00296$ |
$5.68214$ |
$[1, 0, 1, 21565828, 33710773538]$ |
\(y^2+xy+y=x^3+21565828x+33710773538\) |
3.12.0.a.1, 9.36.0.a.1, 111.24.0.?, 168.24.0.?, 333.72.0.?, $\ldots$ |
$[(38964, 7728373)]$ |
| 57498.n1 |
57498o1 |
57498.n |
57498o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{7} \cdot 3 \cdot 7^{5} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$0.849752337$ |
$1$ |
|
$4$ |
$766080$ |
$2.093697$ |
$15983964359/238793856$ |
$0.93735$ |
$4.41369$ |
$[1, 1, 1, 71844, -36892995]$ |
\(y^2+xy+y=x^3+x^2+71844x-36892995\) |
6216.2.0.? |
$[(1125, 37769)]$ |
| 57498.o1 |
57498n2 |
57498.o |
57498n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$3108$ |
$144$ |
$5$ |
$1.358484305$ |
$1$ |
|
$6$ |
$186624$ |
$1.474808$ |
$16865845211125/5489031744$ |
$0.99823$ |
$3.76742$ |
$[1, 1, 1, -19768, 699449]$ |
\(y^2+xy+y=x^3+x^2-19768x+699449\) |
2.3.0.a.1, 3.6.0.b.1, 6.36.0.b.1, 74.6.0.?, 84.72.1.?, $\ldots$ |
$[(31, 327)]$ |
| 57498.o2 |
57498n1 |
57498.o |
57498n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{3} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$3108$ |
$144$ |
$5$ |
$2.716968611$ |
$1$ |
|
$5$ |
$93312$ |
$1.128235$ |
$1087959899125/37933056$ |
$1.05742$ |
$3.51732$ |
$[1, 1, 1, -7928, -266695]$ |
\(y^2+xy+y=x^3+x^2-7928x-266695\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.b.1, 42.36.0.b.1, $\ldots$ |
$[(-55, 109)]$ |
| 57498.p1 |
57498p1 |
57498.p |
57498p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$1.513169770$ |
$1$ |
|
$0$ |
$1108224$ |
$2.225613$ |
$989043263/777924$ |
$0.91814$ |
$4.52571$ |
$[1, 1, 1, 315526, -40750837]$ |
\(y^2+xy+y=x^3+x^2+315526x-40750837\) |
4.16.0-4.b.1.1 |
$[(5013/4, 593671/4)]$ |
| 57498.q1 |
57498w2 |
57498.q |
57498w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 7^{4} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$0.150444324$ |
$1$ |
|
$16$ |
$276480$ |
$1.640669$ |
$154240738777189/36294822144$ |
$1.00501$ |
$3.96937$ |
$[1, 0, 0, -41339, 2488593]$ |
\(y^2+xy=x^3-41339x+2488593\) |
2.3.0.a.1, 12.6.0.f.1, 74.6.0.?, 444.12.0.? |
$[(-74, 2305)]$ |
| 57498.q2 |
57498w1 |
57498.q |
57498w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{2} \cdot 37^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$0.300888648$ |
$1$ |
|
$11$ |
$138240$ |
$1.294094$ |
$476562552731/780337152$ |
$0.98855$ |
$3.49711$ |
$[1, 0, 0, 6021, 243729]$ |
\(y^2+xy=x^3+6021x+243729\) |
2.3.0.a.1, 12.6.0.f.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[(30, 657)]$ |
| 57498.r1 |
57498q1 |
57498.r |
57498q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2 \cdot 3^{7} \cdot 7 \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$2.152970071$ |
$1$ |
|
$0$ |
$459648$ |
$1.651737$ |
$590589719/1132866$ |
$0.86976$ |
$3.89629$ |
$[1, 0, 0, 23929, 2169579]$ |
\(y^2+xy=x^3+23929x+2169579\) |
6216.2.0.? |
$[(-173/2, 8387/2)]$ |
| 57498.s1 |
57498s1 |
57498.s |
57498s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6216$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$984960$ |
$1.975874$ |
$-27986475935881/76146$ |
$0.93399$ |
$4.80206$ |
$[1, 0, 0, -865921, 310074107]$ |
\(y^2+xy=x^3-865921x+310074107\) |
6216.2.0.? |
$[]$ |
| 57498.t1 |
57498r4 |
57498.t |
57498r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7 \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6216$ |
$48$ |
$0$ |
$2.841329792$ |
$1$ |
|
$0$ |
$2101248$ |
$2.673252$ |
$1193961132635558617/335664$ |
$0.99022$ |
$5.77483$ |
$[1, 0, 0, -30256982, 64057418100]$ |
\(y^2+xy=x^3-30256982x+64057418100\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.1, 148.12.0.?, $\ldots$ |
$[(78034/5, 466142/5)]$ |
| 57498.t2 |
57498r2 |
57498.t |
57498r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3108$ |
$48$ |
$0$ |
$5.682659585$ |
$1$ |
|
$4$ |
$1050624$ |
$2.326679$ |
$291605712526297/154554624$ |
$0.94881$ |
$5.01591$ |
$[1, 0, 0, -1891302, 1000511460]$ |
\(y^2+xy=x^3-1891302x+1000511460\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 84.24.0.?, 148.12.0.?, $\ldots$ |
$[(-1336, 34478)]$ |
| 57498.t3 |
57498r3 |
57498.t |
57498r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{4} \cdot 37^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6216$ |
$48$ |
$0$ |
$11.36531917$ |
$1$ |
|
$0$ |
$2101248$ |
$2.673252$ |
$-164503536215257/215993306928$ |
$0.96307$ |
$5.07175$ |
$[1, 0, 0, -1562742, 1359364692]$ |
\(y^2+xy=x^3-1562742x+1359364692\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(-690316/23, 425342194/23)]$ |
| 57498.t4 |
57498r1 |
57498.t |
57498r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{16} \cdot 3 \cdot 7 \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6216$ |
$48$ |
$0$ |
$2.841329792$ |
$1$ |
|
$3$ |
$525312$ |
$1.980104$ |
$115714886617/50921472$ |
$0.91428$ |
$4.30128$ |
$[1, 0, 0, -138982, 9749732]$ |
\(y^2+xy=x^3-138982x+9749732\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(20908, 3012298)]$ |
| 57498.u1 |
57498t2 |
57498.u |
57498t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 7^{3} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5515776$ |
$2.986038$ |
$19751532485554297/8983697617692$ |
$0.99144$ |
$5.40056$ |
$[1, 0, 0, -7709552, 3811276548]$ |
\(y^2+xy=x^3-7709552x+3811276548\) |
2.3.0.a.1, 28.6.0.a.1, 444.6.0.?, 3108.12.0.? |
$[]$ |
| 57498.u2 |
57498t1 |
57498.u |
57498t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{6} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2757888$ |
$2.639465$ |
$205034573717063/152320630896$ |
$0.97143$ |
$4.98377$ |
$[1, 0, 0, 1681788, 447298560]$ |
\(y^2+xy=x^3+1681788x+447298560\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 57498.v1 |
57498u1 |
57498.v |
57498u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 7 \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1864800$ |
$2.284019$ |
$7599023/1741824$ |
$0.97707$ |
$4.62703$ |
$[1, 0, 0, 62261, 118860401]$ |
\(y^2+xy=x^3+62261x+118860401\) |
84.2.0.? |
$[]$ |
| 57498.w1 |
57498v2 |
57498.w |
57498v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 7^{2} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10506240$ |
$3.020645$ |
$175880497476668041/4994797131072$ |
$1.02330$ |
$5.60008$ |
$[1, 0, 0, -15979681, -23977171447]$ |
\(y^2+xy=x^3-15979681x-23977171447\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[]$ |
| 57498.w2 |
57498v1 |
57498.w |
57498v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 7 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5253120$ |
$2.674072$ |
$519524563319/257532162048$ |
$1.06754$ |
$5.05438$ |
$[1, 0, 0, 229279, -1236000567]$ |
\(y^2+xy=x^3+229279x-1236000567\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[]$ |
