| 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 |
| 12342.a1 |
12342d5 |
12342.a |
12342d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$2.636879$ |
$6812873765474836663297/74052$ |
$1.02772$ |
$6.86361$ |
$[1, 1, 0, -47788226, 127133929344]$ |
\(y^2+xy=x^3+x^2-47788226x+127133929344\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 24.24.0-8.n.1.7, $\ldots$ |
$[]$ |
| 12342.a2 |
12342d3 |
12342.a |
12342d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$4488$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$245760$ |
$2.290302$ |
$1663303207415737537/5483698704$ |
$0.99928$ |
$5.98069$ |
$[1, 1, 0, -2986766, 1985530980]$ |
\(y^2+xy=x^3+x^2-2986766x+1985530980\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.4, 44.24.0-4.b.1.1, $\ldots$ |
$[]$ |
| 12342.a3 |
12342d6 |
12342.a |
12342d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{8} \cdot 11^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$2.636879$ |
$-1595514095015181697/95635786040388$ |
$1.10244$ |
$5.98674$ |
$[1, 1, 0, -2945626, 2042937736]$ |
\(y^2+xy=x^3+x^2-2945626x+2042937736\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 44.12.0-4.c.1.1, 48.48.0-8.ba.2.8, $\ldots$ |
$[]$ |
| 12342.a4 |
12342d2 |
12342.a |
12342d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$4488$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$122880$ |
$1.943729$ |
$423108074414017/23284318464$ |
$0.96119$ |
$5.10214$ |
$[1, 1, 0, -189246, 30064500]$ |
\(y^2+xy=x^3+x^2-189246x+30064500\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.2, 24.48.0-8.d.1.8, $\ldots$ |
$[]$ |
| 12342.a5 |
12342d1 |
12342.a |
12342d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 11^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.597157$ |
$2533811507137/625016832$ |
$0.93502$ |
$4.55888$ |
$[1, 1, 0, -34366, -1871756]$ |
\(y^2+xy=x^3+x^2-34366x-1871756\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.f.1, $\ldots$ |
$[]$ |
| 12342.a6 |
12342d4 |
12342.a |
12342d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 11^{7} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$8976$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$245760$ |
$2.290302$ |
$137763859017023/3683199928848$ |
$1.00917$ |
$5.38757$ |
$[1, 1, 0, 130194, 121616004]$ |
\(y^2+xy=x^3+x^2+130194x+121616004\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 12.12.0-4.c.1.1, 24.48.0-8.ba.1.7, $\ldots$ |
$[]$ |
| 12342.b1 |
12342f1 |
12342.b |
12342f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$2.533710916$ |
$1$ |
|
$5$ |
$11520$ |
$0.768708$ |
$81182737/35904$ |
$1.09390$ |
$3.46040$ |
$[1, 1, 0, -1091, 6285]$ |
\(y^2+xy=x^3+x^2-1091x+6285\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(-2, 93)]$ |
| 12342.b2 |
12342f2 |
12342.b |
12342f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$1.266855458$ |
$1$ |
|
$6$ |
$23040$ |
$1.115282$ |
$3288008303/2517768$ |
$0.89782$ |
$3.85329$ |
$[1, 1, 0, 3749, 51781]$ |
\(y^2+xy=x^3+x^2+3749x+51781\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(-5, 184)]$ |
| 12342.c1 |
12342a1 |
12342.c |
12342a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{4} \cdot 11^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.253779$ |
$-121/11016$ |
$1.08816$ |
$2.79738$ |
$[1, 1, 0, -2, -612]$ |
\(y^2+xy=x^3+x^2-2x-612\) |
136.2.0.? |
$[]$ |
| 12342.d1 |
12342c3 |
12342.d |
12342c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{2} \cdot 11^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$2.017208$ |
$803760366578833/65593817586$ |
$0.96549$ |
$5.17025$ |
$[1, 1, 0, -234379, 40380355]$ |
\(y^2+xy=x^3+x^2-234379x+40380355\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
| 12342.d2 |
12342c2 |
12342.d |
12342c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$92160$ |
$1.670633$ |
$7457162887153/1370924676$ |
$0.94001$ |
$4.67346$ |
$[1, 1, 0, -49249, -3495455]$ |
\(y^2+xy=x^3+x^2-49249x-3495455\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 12342.d3 |
12342c1 |
12342.d |
12342c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.324060$ |
$6411014266033/296208$ |
$0.93329$ |
$4.65742$ |
$[1, 1, 0, -46829, -3919923]$ |
\(y^2+xy=x^3+x^2-46829x-3919923\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 12342.d4 |
12342c4 |
12342.d |
12342c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{8} \cdot 11^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$2.017208$ |
$57258048889007/132611470002$ |
$0.97333$ |
$5.00652$ |
$[1, 1, 0, 97161, -20156913]$ |
\(y^2+xy=x^3+x^2+97161x-20156913\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 12342.e1 |
12342b2 |
12342.e |
12342b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{26} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$3893760$ |
$3.672607$ |
$150476552140919246594353/42832838728685592576$ |
$1.04321$ |
$7.19214$ |
$[1, 1, 0, -134080949, -426032184915]$ |
\(y^2+xy=x^3+x^2-134080949x-426032184915\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
| 12342.e2 |
12342b1 |
12342.e |
12342b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{26} \cdot 3^{13} \cdot 11^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1946880$ |
$3.326035$ |
$7722211175253055152433/340131399900069888$ |
$1.02892$ |
$6.87691$ |
$[1, 1, 0, -49826229, 130099519917]$ |
\(y^2+xy=x^3+x^2-49826229x+130099519917\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
| 12342.f1 |
12342e1 |
12342.f |
12342e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{5} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6000$ |
$0.066740$ |
$65227151/132192$ |
$0.95912$ |
$2.51639$ |
$[1, 1, 0, 42, 180]$ |
\(y^2+xy=x^3+x^2+42x+180\) |
408.2.0.? |
$[]$ |
| 12342.g1 |
12342m2 |
12342.g |
12342m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{21} \cdot 3^{4} \cdot 11^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$408$ |
$16$ |
$0$ |
$9.645604599$ |
$1$ |
|
$0$ |
$532224$ |
$2.567627$ |
$-59023897051273/834567929856$ |
$1.10234$ |
$5.74563$ |
$[1, 0, 1, -485455, -656593918]$ |
\(y^2+xy+y=x^3-485455x-656593918\) |
3.8.0-3.a.1.1, 136.2.0.?, 408.16.0.? |
$[(25309/4, 3171059/4)]$ |
| 12342.g2 |
12342m1 |
12342.g |
12342m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{12} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$408$ |
$16$ |
$0$ |
$3.215201533$ |
$1$ |
|
$6$ |
$177408$ |
$2.018322$ |
$79448965607/1156415616$ |
$0.98581$ |
$5.03843$ |
$[1, 0, 1, 53600, 23477870]$ |
\(y^2+xy+y=x^3+53600x+23477870\) |
3.8.0-3.a.1.2, 136.2.0.?, 408.16.0.? |
$[(334, 8702)]$ |
| 12342.h1 |
12342h1 |
12342.h |
12342h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.292052860$ |
$1$ |
|
$33$ |
$10752$ |
$0.517867$ |
$4435194707/2528172$ |
$0.99902$ |
$3.12146$ |
$[1, 0, 1, -377, -376]$ |
\(y^2+xy+y=x^3-377x-376\) |
2.3.0.a.1, 66.6.0.a.1, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(-12, 55), (-3, 28)]$ |
| 12342.h2 |
12342h2 |
12342.h |
12342h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{14} \cdot 11^{3} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.168211442$ |
$1$ |
|
$16$ |
$21504$ |
$0.864440$ |
$276785390413/162620946$ |
$1.20946$ |
$3.56024$ |
$[1, 0, 1, 1493, -2620]$ |
\(y^2+xy+y=x^3+1493x-2620\) |
2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(22, 191), (10, 110)]$ |
| 12342.i1 |
12342l5 |
12342.i |
12342l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{2} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.213 |
2B |
$2992$ |
$192$ |
$1$ |
$3.002625635$ |
$1$ |
|
$2$ |
$163840$ |
$2.046024$ |
$2361739090258884097/5202$ |
$1.06083$ |
$6.01791$ |
$[1, 0, 1, -3357027, 2367167284]$ |
\(y^2+xy+y=x^3-3357027x+2367167284\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.2, 44.12.0-4.c.1.1, $\ldots$ |
$[(1064, -180)]$ |
| 12342.i2 |
12342l3 |
12342.i |
12342l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.137 |
2Cs |
$1496$ |
$192$ |
$1$ |
$1.501312817$ |
$1$ |
|
$8$ |
$81920$ |
$1.699451$ |
$576615941610337/27060804$ |
$1.03156$ |
$5.13499$ |
$[1, 0, 1, -209817, 36973000]$ |
\(y^2+xy+y=x^3-209817x+36973000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 44.24.0-4.b.1.1, 88.96.0.?, $\ldots$ |
$[(296, 759)]$ |
| 12342.i3 |
12342l6 |
12342.i |
12342l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{2} \cdot 11^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.224 |
2B |
$2992$ |
$192$ |
$1$ |
$3.002625635$ |
$1$ |
|
$2$ |
$163840$ |
$2.046024$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$5.15684$ |
$[1, 0, 1, -198927, 40984876]$ |
\(y^2+xy+y=x^3-198927x+40984876\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$ |
$[(230, 2607)]$ |
| 12342.i4 |
12342l2 |
12342.i |
12342l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.89 |
2Cs |
$1496$ |
$192$ |
$1$ |
$0.750656408$ |
$1$ |
|
$14$ |
$40960$ |
$1.352879$ |
$163936758817/30338064$ |
$1.07571$ |
$4.26824$ |
$[1, 0, 1, -13797, 513280]$ |
\(y^2+xy+y=x^3-13797x+513280\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 44.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$ |
$[(-1, 726)]$ |
| 12342.i5 |
12342l1 |
12342.i |
12342l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.101 |
2B |
$2992$ |
$192$ |
$1$ |
$1.501312817$ |
$1$ |
|
$7$ |
$20480$ |
$1.006306$ |
$4354703137/352512$ |
$1.05192$ |
$3.88311$ |
$[1, 0, 1, -4117, -94624]$ |
\(y^2+xy+y=x^3-4117x-94624\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 34.6.0.a.1, $\ldots$ |
$[(-29, 38)]$ |
| 12342.i6 |
12342l4 |
12342.i |
12342l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{16} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.132 |
2B |
$2992$ |
$192$ |
$1$ |
$0.375328204$ |
$1$ |
|
$8$ |
$81920$ |
$1.699451$ |
$1276229915423/2927177028$ |
$1.03010$ |
$4.60139$ |
$[1, 0, 1, 27343, 2998136]$ |
\(y^2+xy+y=x^3+27343x+2998136\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 44.12.0-4.c.1.2, $\ldots$ |
$[(-12, 1639)]$ |
| 12342.j1 |
12342q1 |
12342.j |
12342q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{5} \cdot 11^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$134400$ |
$1.723509$ |
$81706955619457/744505344$ |
$0.95028$ |
$4.92758$ |
$[1, 0, 1, -109387, -13824010]$ |
\(y^2+xy+y=x^3-109387x-13824010\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[]$ |
| 12342.j2 |
12342q2 |
12342.j |
12342q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{10} \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$268800$ |
$2.070084$ |
$-2035346265217/264305213568$ |
$1.01228$ |
$5.11072$ |
$[1, 0, 1, -31947, -32998154]$ |
\(y^2+xy+y=x^3-31947x-32998154\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[]$ |
| 12342.k1 |
12342p2 |
12342.k |
12342p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 11^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$408$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$137808$ |
$1.946012$ |
$-2615903802147625/408$ |
$0.99143$ |
$5.80458$ |
$[1, 0, 1, -1717961, -866841340]$ |
\(y^2+xy+y=x^3-1717961x-866841340\) |
3.8.0-3.a.1.1, 408.16.0.? |
$[]$ |
| 12342.k2 |
12342p1 |
12342.k |
12342p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 11^{8} \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$45936$ |
$1.396708$ |
$-4734057625/265302$ |
$0.90077$ |
$4.41086$ |
$[1, 0, 1, -20936, -1222828]$ |
\(y^2+xy+y=x^3-20936x-1222828\) |
3.8.0-3.a.1.2, 408.16.0.? |
$[]$ |
| 12342.l1 |
12342o1 |
12342.l |
12342o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3 \cdot 11^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.155373$ |
$858729462625/38148$ |
$0.91835$ |
$4.44402$ |
$[1, 0, 1, -23961, -1429496]$ |
\(y^2+xy+y=x^3-23961x-1429496\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 12342.l2 |
12342o2 |
12342.l |
12342o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{2} \cdot 11^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.501945$ |
$-735091890625/181908738$ |
$1.08903$ |
$4.46531$ |
$[1, 0, 1, -22751, -1580020]$ |
\(y^2+xy+y=x^3-22751x-1580020\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 12342.m1 |
12342n3 |
12342.m |
12342n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4147200$ |
$3.639893$ |
$505384091400037554067434625/815656731648$ |
$1.17649$ |
$8.05399$ |
$[1, 0, 1, -2007942731, 34631635202294]$ |
\(y^2+xy+y=x^3-2007942731x+34631635202294\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.d.1, 24.48.0-24.bx.1.2, $\ldots$ |
$[]$ |
| 12342.m2 |
12342n4 |
12342.m |
12342n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{2} \cdot 11^{8} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$8294400$ |
$3.986465$ |
$-505369473241574671219626625/20303219722982711328$ |
$1.10395$ |
$8.05399$ |
$[1, 0, 1, -2007923371, 34632336413750]$ |
\(y^2+xy+y=x^3-2007923371x+34632336413750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.11, $\ldots$ |
$[]$ |
| 12342.m3 |
12342n1 |
12342.m |
12342n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{30} \cdot 3^{3} \cdot 11^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1382400$ |
$3.090588$ |
$959024269496848362625/11151660319506432$ |
$1.02199$ |
$6.65549$ |
$[1, 0, 1, -24859211, 47222872310]$ |
\(y^2+xy+y=x^3-24859211x+47222872310\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.d.1, 24.48.0-24.bx.1.6, $\ldots$ |
$[]$ |
| 12342.m4 |
12342n2 |
12342.m |
12342n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 11^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$3.437160$ |
$-7966267523043306625/3534510366354604032$ |
$1.07621$ |
$6.85215$ |
$[1, 0, 1, -5034571, 120470952182]$ |
\(y^2+xy+y=x^3-5034571x+120470952182\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.5, $\ldots$ |
$[]$ |
| 12342.n1 |
12342g2 |
12342.n |
12342g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$2.421787$ |
$362515826352179162139875/203046912$ |
$1.06305$ |
$6.52187$ |
$[1, 0, 1, -16340316, 25422339226]$ |
\(y^2+xy+y=x^3-16340316x+25422339226\) |
2.3.0.a.1, 132.6.0.?, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[]$ |
| 12342.n2 |
12342g1 |
12342.n |
12342g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{28} \cdot 3^{3} \cdot 11^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$145152$ |
$2.075211$ |
$88506348541062171875/2094601863168$ |
$1.08097$ |
$5.63896$ |
$[1, 0, 1, -1021276, 397155482]$ |
\(y^2+xy+y=x^3-1021276x+397155482\) |
2.3.0.a.1, 66.6.0.a.1, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[]$ |
| 12342.o1 |
12342i1 |
12342.o |
12342i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{2} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$13.39449534$ |
$1$ |
|
$0$ |
$38016$ |
$1.381187$ |
$-14284562281/78336$ |
$1.03604$ |
$4.51928$ |
$[1, 0, 1, -30253, -2037400]$ |
\(y^2+xy+y=x^3-30253x-2037400\) |
136.2.0.? |
$[(762520/61, 116389040/61)]$ |
| 12342.p1 |
12342k3 |
12342.p |
12342k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{8} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1496$ |
$48$ |
$0$ |
$2.421893468$ |
$1$ |
|
$0$ |
$1290240$ |
$3.041214$ |
$306234591284035366263793/1727485056$ |
$1.03821$ |
$7.26756$ |
$[1, 0, 1, -169913890, 852480046196]$ |
\(y^2+xy+y=x^3-169913890x+852480046196\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 136.24.0.?, $\ldots$ |
$[(31291/2, 328075/2)]$ |
| 12342.p2 |
12342k2 |
12342.p |
12342k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1496$ |
$48$ |
$0$ |
$4.843786936$ |
$1$ |
|
$2$ |
$645120$ |
$2.694641$ |
$74768347616680342513/5615307472896$ |
$1.01338$ |
$6.38465$ |
$[1, 0, 1, -10619810, 13318832756]$ |
\(y^2+xy+y=x^3-10619810x+13318832756\) |
2.6.0.a.1, 8.12.0.b.1, 44.12.0-2.a.1.1, 68.12.0.b.1, 88.24.0.?, $\ldots$ |
$[(16551/2, 1587905/2)]$ |
| 12342.p3 |
12342k4 |
12342.p |
12342k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{2} \cdot 11^{14} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1496$ |
$48$ |
$0$ |
$9.687573872$ |
$1$ |
|
$0$ |
$1290240$ |
$3.041214$ |
$-60992553706117024753/20624795251201152$ |
$1.01769$ |
$6.41188$ |
$[1, 0, 1, -9922850, 15142637684]$ |
\(y^2+xy+y=x^3-9922850x+15142637684\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 44.12.0-4.c.1.1, 88.24.0.?, $\ldots$ |
$[(407631/10, 203950141/10)]$ |
| 12342.p4 |
12342k1 |
12342.p |
12342k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{28} \cdot 3^{2} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1496$ |
$48$ |
$0$ |
$9.687573872$ |
$1$ |
|
$1$ |
$322560$ |
$2.348068$ |
$22106889268753393/4969545596928$ |
$0.98677$ |
$5.52206$ |
$[1, 0, 1, -707490, 179061364]$ |
\(y^2+xy+y=x^3-707490x+179061364\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 34.6.0.a.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(268793/16, 97678053/16)]$ |
| 12342.q1 |
12342j2 |
12342.q |
12342j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{2} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$6.343157770$ |
$1$ |
|
$0$ |
$23040$ |
$1.140936$ |
$666940371553/37026$ |
$1.02770$ |
$4.41719$ |
$[1, 0, 1, -22025, -1259854]$ |
\(y^2+xy+y=x^3-22025x-1259854\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(-3101/6, 8125/6)]$ |
| 12342.q2 |
12342j1 |
12342.q |
12342j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3 \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$3.171578885$ |
$1$ |
|
$3$ |
$11520$ |
$0.794362$ |
$192100033/38148$ |
$0.83997$ |
$3.55182$ |
$[1, 0, 1, -1455, -17426]$ |
\(y^2+xy+y=x^3-1455x-17426\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-29, 38)]$ |
| 12342.r1 |
12342s1 |
12342.r |
12342s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{19} \cdot 11^{10} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$408$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9781200$ |
$3.770489$ |
$9010188470393231/13201960638001752$ |
$1.11555$ |
$7.27674$ |
$[1, 0, 1, 12832531, -890132106976]$ |
\(y^2+xy+y=x^3+12832531x-890132106976\) |
408.2.0.? |
$[]$ |
| 12342.s1 |
12342r1 |
12342.s |
12342r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 11^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.243315$ |
$832972004929/610368$ |
$1.08401$ |
$4.44079$ |
$[1, 0, 1, -23719, 1403114]$ |
\(y^2+xy+y=x^3-23719x+1403114\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 12342.s2 |
12342r2 |
12342.s |
12342r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.589890$ |
$-420021471169/727634952$ |
$0.93771$ |
$4.51509$ |
$[1, 0, 1, -18879, 1993594]$ |
\(y^2+xy+y=x^3-18879x+1993594\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 12342.t1 |
12342y1 |
12342.t |
12342y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.435420$ |
$1771561/612$ |
$1.28490$ |
$3.05440$ |
$[1, 1, 1, -305, -1429]$ |
\(y^2+xy+y=x^3+x^2-305x-1429\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 12342.t2 |
12342y2 |
12342.t |
12342y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 3^{4} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.781993$ |
$46268279/46818$ |
$0.94894$ |
$3.40072$ |
$[1, 1, 1, 905, -8689]$ |
\(y^2+xy+y=x^3+x^2+905x-8689\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
