| 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 |
Manin constant |
| 2240.a1 |
2240s1 |
2240.a |
2240s |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5^{5} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.738044$ |
$-30211716096/1071875$ |
$1.00205$ |
$4.39383$ |
$[0, 0, 0, -1648, -26528]$ |
\(y^2=x^3-1648x-26528\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.b1 |
2240v1 |
2240.b |
2240v |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5 \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.756350924$ |
$1$ |
|
$2$ |
$192$ |
$-0.673357$ |
$13824/35$ |
$0.66491$ |
$1.93272$ |
$[0, 0, 0, 2, -2]$ |
\(y^2=x^3+2x-2\) |
70.2.0.a.1 |
$[(1, 1)]$ |
$1$ |
| 2240.c1 |
2240j1 |
2240.c |
2240j |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5 \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.435507$ |
$14155776/84035$ |
$1.21697$ |
$3.68089$ |
$[0, 0, 0, 128, 1696]$ |
\(y^2=x^3+128x+1696\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.d1 |
2240n1 |
2240.d |
2240n |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{11} \cdot 7^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.091225822$ |
$1$ |
|
$6$ |
$10560$ |
$1.319101$ |
$722603599520256/820654296875$ |
$1.08491$ |
$4.97428$ |
$[0, 0, 0, 7478, 244186]$ |
\(y^2=x^3+7478x+244186\) |
70.2.0.a.1 |
$[(257, 4375)]$ |
$1$ |
| 2240.e1 |
2240q1 |
2240.e |
2240q |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1344$ |
$0.578152$ |
$-88478050816/102942875$ |
$0.97384$ |
$3.94946$ |
$[0, -1, 0, -371, -4655]$ |
\(y^2=x^3-x^2-371x-4655\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.f1 |
2240a1 |
2240.f |
2240a |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{5} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.889516365$ |
$1$ |
|
$2$ |
$320$ |
$-0.140280$ |
$1124864/21875$ |
$0.91387$ |
$2.79697$ |
$[0, -1, 0, 9, -59]$ |
\(y^2=x^3-x^2+9x-59\) |
70.2.0.a.1 |
$[(4, 5)]$ |
$1$ |
| 2240.g1 |
2240c2 |
2240.g |
2240c |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.604121$ |
$-225637236736/1715$ |
$1.02937$ |
$4.64677$ |
$[0, -1, 0, -3221, -69299]$ |
\(y^2=x^3-x^2-3221x-69299\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 840.16.0.? |
$[ ]$ |
$1$ |
| 2240.g2 |
2240c1 |
2240.g |
2240c |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.054815$ |
$-65536/875$ |
$0.97204$ |
$3.10795$ |
$[0, -1, 0, -21, -179]$ |
\(y^2=x^3-x^2-21x-179\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 840.16.0.? |
$[ ]$ |
$1$ |
| 2240.h1 |
2240h1 |
2240.h |
2240h |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$-0.316967$ |
$-6229504/1715$ |
$0.82351$ |
$2.61761$ |
$[0, -1, 0, -15, -23]$ |
\(y^2=x^3-x^2-15x-23\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.i1 |
2240x1 |
2240.i |
2240x |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.257221085$ |
$1$ |
|
$4$ |
$192$ |
$-0.177352$ |
$-738763264/875$ |
$0.89330$ |
$3.18650$ |
$[0, -1, 0, -75, 277]$ |
\(y^2=x^3-x^2-75x+277\) |
70.2.0.a.1 |
$[(4, 5)]$ |
$1$ |
| 2240.j1 |
2240ba1 |
2240.j |
2240ba |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5 \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$-0.214758$ |
$-1024/35$ |
$0.78213$ |
$2.68736$ |
$[0, -1, 0, -5, -35]$ |
\(y^2=x^3-x^2-5x-35\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.k1 |
2240m3 |
2240.k |
2240m |
$3$ |
$9$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{9} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2520$ |
$144$ |
$3$ |
$0.631888037$ |
$1$ |
|
$4$ |
$864$ |
$0.474036$ |
$-250523582464/13671875$ |
$1.02112$ |
$3.95319$ |
$[0, -1, 0, -525, -4673]$ |
\(y^2=x^3-x^2-525x-4673\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.1, 63.36.0.e.2, 70.2.0.a.1, $\ldots$ |
$[(34, 125)]$ |
$1$ |
| 2240.k2 |
2240m1 |
2240.k |
2240m |
$3$ |
$9$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5 \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2520$ |
$144$ |
$3$ |
$0.631888037$ |
$1$ |
|
$2$ |
$96$ |
$-0.624577$ |
$-262144/35$ |
$0.88715$ |
$2.18338$ |
$[0, -1, 0, -5, 7]$ |
\(y^2=x^3-x^2-5x+7\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.2, 63.36.0.e.1, 70.2.0.a.1, $\ldots$ |
$[(2, 1)]$ |
$1$ |
| 2240.k3 |
2240m2 |
2240.k |
2240m |
$3$ |
$9$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$2520$ |
$144$ |
$3$ |
$0.210629345$ |
$1$ |
|
$4$ |
$288$ |
$-0.075270$ |
$71991296/42875$ |
$1.06493$ |
$2.88440$ |
$[0, -1, 0, 35, -25]$ |
\(y^2=x^3-x^2+35x-25\) |
3.12.0.a.1, 24.24.0-3.a.1.1, 63.36.0.b.1, 70.2.0.a.1, 210.24.1.?, $\ldots$ |
$[(10, 35)]$ |
$1$ |
| 2240.l1 |
2240o4 |
2240.l |
2240o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.172 |
2B |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.122601$ |
$481927184300808/1225$ |
$1.08132$ |
$5.73045$ |
$[0, 0, 0, -52268, 4599408]$ |
\(y^2=x^3-52268x+4599408\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.y.1.2, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.l2 |
2240o3 |
2240.l |
2240o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.187 |
2B |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.122601$ |
$262389836808/144120025$ |
$1.06498$ |
$4.75618$ |
$[0, 0, 0, -4268, 24208]$ |
\(y^2=x^3-4268x+24208\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.y.1.1, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.l3 |
2240o2 |
2240.l |
2240o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.19 |
2Cs |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.776027$ |
$942344950464/1500625$ |
$1.16391$ |
$4.65236$ |
$[0, 0, 0, -3268, 71808]$ |
\(y^2=x^3-3268x+71808\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 8.48.0-8.a.1.3, 56.96.1-56.c.1.3, 80.96.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.l4 |
2240o1 |
2240.l |
2240o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.200 |
2B |
$560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.429453$ |
$-5053029696/19140625$ |
$1.12450$ |
$3.69746$ |
$[0, 0, 0, -143, 1808]$ |
\(y^2=x^3-143x+1808\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.x.1.2, 28.24.0-4.d.1.2, 56.96.1-56.ep.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.m1 |
2240t3 |
2240.m |
2240t |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.187 |
2B |
$560$ |
$192$ |
$3$ |
$4.689996637$ |
$1$ |
|
$3$ |
$3072$ |
$1.122601$ |
$481927184300808/1225$ |
$1.08132$ |
$5.73045$ |
$[0, 0, 0, -52268, -4599408]$ |
\(y^2=x^3-52268x-4599408\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.y.1.1, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[(444, 7728)]$ |
$1$ |
| 2240.m2 |
2240t4 |
2240.m |
2240t |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.172 |
2B |
$560$ |
$192$ |
$3$ |
$1.172499159$ |
$1$ |
|
$9$ |
$3072$ |
$1.122601$ |
$262389836808/144120025$ |
$1.06498$ |
$4.75618$ |
$[0, 0, 0, -4268, -24208]$ |
\(y^2=x^3-4268x-24208\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.y.1.2, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[(-58, 168)]$ |
$1$ |
| 2240.m3 |
2240t2 |
2240.m |
2240t |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 5^{4} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.19 |
2Cs |
$560$ |
$192$ |
$3$ |
$2.344998318$ |
$1$ |
|
$7$ |
$1536$ |
$0.776027$ |
$942344950464/1500625$ |
$1.16391$ |
$4.65236$ |
$[0, 0, 0, -3268, -71808]$ |
\(y^2=x^3-3268x-71808\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 8.48.0-8.a.1.3, 56.96.1-56.c.1.3, 80.96.0.?, $\ldots$ |
$[(94, 672)]$ |
$1$ |
| 2240.m4 |
2240t1 |
2240.m |
2240t |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.200 |
2B |
$560$ |
$192$ |
$3$ |
$4.689996637$ |
$1$ |
|
$1$ |
$768$ |
$0.429453$ |
$-5053029696/19140625$ |
$1.12450$ |
$3.69746$ |
$[0, 0, 0, -143, -1808]$ |
\(y^2=x^3-143x-1808\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.x.1.2, 28.24.0-4.d.1.2, 56.96.1-56.ep.1.1, $\ldots$ |
$[(208/3, 2296/3)]$ |
$1$ |
| 2240.n1 |
2240f3 |
2240.n |
2240f |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.078709$ |
$2121328796049/120050$ |
$1.01959$ |
$5.29667$ |
$[0, 0, 0, -17132, -863056]$ |
\(y^2=x^3-17132x-863056\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.1 |
$[ ]$ |
$1$ |
| 2240.n2 |
2240f4 |
2240.n |
2240f |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.078709$ |
$74565301329/5468750$ |
$0.99962$ |
$4.86265$ |
$[0, 0, 0, -5612, 151216]$ |
\(y^2=x^3-5612x+151216\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 56.48.0-56.bp.1.5 |
$[ ]$ |
$1$ |
| 2240.n3 |
2240f2 |
2240.n |
2240f |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.732135$ |
$611960049/122500$ |
$1.02632$ |
$4.24006$ |
$[0, 0, 0, -1132, -11856]$ |
\(y^2=x^3-1132x-11856\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.3, 56.48.0-56.d.1.7 |
$[ ]$ |
$1$ |
| 2240.n4 |
2240f1 |
2240.n |
2240f |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{22} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.385561$ |
$1367631/2800$ |
$1.00023$ |
$3.56958$ |
$[0, 0, 0, 148, -1104]$ |
\(y^2=x^3+148x-1104\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.o1 |
2240e3 |
2240.o |
2240e |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.335740$ |
$123505992/4375$ |
$0.97359$ |
$3.76305$ |
$[0, 0, 0, -332, 2256]$ |
\(y^2=x^3-332x+2256\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.2, 56.24.0-56.s.1.4, 280.48.0.? |
$[ ]$ |
$1$ |
| 2240.o2 |
2240e2 |
2240.o |
2240e |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$384$ |
$-0.010833$ |
$3796416/1225$ |
$0.97255$ |
$3.04208$ |
$[0, 0, 0, -52, -96]$ |
\(y^2=x^3-52x-96\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.4, 56.24.0-56.b.1.1, 140.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.o3 |
2240e1 |
2240.o |
2240e |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$192$ |
$-0.357407$ |
$179406144/35$ |
$0.91443$ |
$3.00277$ |
$[0, 0, 0, -47, -124]$ |
\(y^2=x^3-47x-124\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.13, 56.24.0-56.y.1.13, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.o4 |
2240e4 |
2240.o |
2240e |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{15} \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.335740$ |
$10941048/12005$ |
$0.90537$ |
$3.44885$ |
$[0, 0, 0, 148, -656]$ |
\(y^2=x^3+148x-656\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.s.1.1, 56.24.0-56.y.1.10, 280.48.0.? |
$[ ]$ |
$1$ |
| 2240.p1 |
2240k3 |
2240.p |
2240k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{15} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$0.711578357$ |
$1$ |
|
$7$ |
$768$ |
$0.335740$ |
$123505992/4375$ |
$0.97359$ |
$3.76305$ |
$[0, 0, 0, -332, -2256]$ |
\(y^2=x^3-332x-2256\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 56.24.0-56.s.1.1, 280.48.0.? |
$[(-10, 8)]$ |
$1$ |
| 2240.p2 |
2240k2 |
2240.p |
2240k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$1.423156714$ |
$1$ |
|
$9$ |
$384$ |
$-0.010833$ |
$3796416/1225$ |
$0.97255$ |
$3.04208$ |
$[0, 0, 0, -52, 96]$ |
\(y^2=x^3-52x+96\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 56.24.0-56.b.1.2, 140.24.0.?, $\ldots$ |
$[(-3, 15)]$ |
$1$ |
| 2240.p3 |
2240k1 |
2240.p |
2240k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$280$ |
$48$ |
$0$ |
$2.846313429$ |
$1$ |
|
$1$ |
$192$ |
$-0.357407$ |
$179406144/35$ |
$0.91443$ |
$3.00277$ |
$[0, 0, 0, -47, 124]$ |
\(y^2=x^3-47x+124\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 56.24.0-56.y.1.5, $\ldots$ |
$[(25/2, 69/2)]$ |
$1$ |
| 2240.p4 |
2240k4 |
2240.p |
2240k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{15} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$2.846313429$ |
$1$ |
|
$7$ |
$768$ |
$0.335740$ |
$10941048/12005$ |
$0.90537$ |
$3.44885$ |
$[0, 0, 0, 148, 656]$ |
\(y^2=x^3+148x+656\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.s.1.3, 56.24.0-56.y.1.2, 280.48.0.? |
$[(5, 39)]$ |
$1$ |
| 2240.q1 |
2240y4 |
2240.q |
2240y |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.078709$ |
$2121328796049/120050$ |
$1.01959$ |
$5.29667$ |
$[0, 0, 0, -17132, 863056]$ |
\(y^2=x^3-17132x+863056\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 56.48.0-56.v.1.6 |
$[ ]$ |
$1$ |
| 2240.q2 |
2240y3 |
2240.q |
2240y |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.078709$ |
$74565301329/5468750$ |
$0.99962$ |
$4.86265$ |
$[0, 0, 0, -5612, -151216]$ |
\(y^2=x^3-5612x-151216\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 56.48.0-56.bp.1.1 |
$[ ]$ |
$1$ |
| 2240.q3 |
2240y2 |
2240.q |
2240y |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{20} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.732135$ |
$611960049/122500$ |
$1.02632$ |
$4.24006$ |
$[0, 0, 0, -1132, 11856]$ |
\(y^2=x^3-1132x+11856\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 28.24.0-28.b.1.3, 56.48.0-56.d.1.5 |
$[ ]$ |
$1$ |
| 2240.q4 |
2240y1 |
2240.q |
2240y |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{22} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.385561$ |
$1367631/2800$ |
$1.00023$ |
$3.56958$ |
$[0, 0, 0, 148, 1104]$ |
\(y^2=x^3+148x+1104\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 2240.r1 |
2240p2 |
2240.r |
2240p |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.604121$ |
$-225637236736/1715$ |
$1.02937$ |
$4.64677$ |
$[0, 1, 0, -3221, 69299]$ |
\(y^2=x^3+x^2-3221x+69299\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 70.2.0.a.1, 210.8.0.?, 840.16.0.? |
$[ ]$ |
$1$ |
| 2240.r2 |
2240p1 |
2240.r |
2240p |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.054815$ |
$-65536/875$ |
$0.97204$ |
$3.10795$ |
$[0, 1, 0, -21, 179]$ |
\(y^2=x^3+x^2-21x+179\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 70.2.0.a.1, 210.8.0.?, 840.16.0.? |
$[ ]$ |
$1$ |
| 2240.s1 |
2240b1 |
2240.s |
2240b |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{5} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$320$ |
$-0.140280$ |
$1124864/21875$ |
$0.91387$ |
$2.79697$ |
$[0, 1, 0, 9, 59]$ |
\(y^2=x^3+x^2+9x+59\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.t1 |
2240u1 |
2240.t |
2240u |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.408345036$ |
$1$ |
|
$2$ |
$1344$ |
$0.578152$ |
$-88478050816/102942875$ |
$0.97384$ |
$3.94946$ |
$[0, 1, 0, -371, 4655]$ |
\(y^2=x^3+x^2-371x+4655\) |
70.2.0.a.1 |
$[(14, 49)]$ |
$1$ |
| 2240.u1 |
2240w3 |
2240.u |
2240w |
$3$ |
$9$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{9} \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2520$ |
$144$ |
$3$ |
$0.252387828$ |
$1$ |
|
$4$ |
$864$ |
$0.474036$ |
$-250523582464/13671875$ |
$1.02112$ |
$3.95319$ |
$[0, 1, 0, -525, 4673]$ |
\(y^2=x^3+x^2-525x+4673\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.3, 63.36.0.e.2, 70.2.0.a.1, $\ldots$ |
$[(16, 25)]$ |
$1$ |
| 2240.u2 |
2240w1 |
2240.u |
2240w |
$3$ |
$9$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5 \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2520$ |
$144$ |
$3$ |
$2.271490452$ |
$1$ |
|
$2$ |
$96$ |
$-0.624577$ |
$-262144/35$ |
$0.88715$ |
$2.18338$ |
$[0, 1, 0, -5, -7]$ |
\(y^2=x^3+x^2-5x-7\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.4, 63.36.0.e.1, 70.2.0.a.1, $\ldots$ |
$[(8, 23)]$ |
$1$ |
| 2240.u3 |
2240w2 |
2240.u |
2240w |
$3$ |
$9$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$2520$ |
$144$ |
$3$ |
$0.757163484$ |
$1$ |
|
$2$ |
$288$ |
$-0.075270$ |
$71991296/42875$ |
$1.06493$ |
$2.88440$ |
$[0, 1, 0, 35, 25]$ |
\(y^2=x^3+x^2+35x+25\) |
3.12.0.a.1, 24.24.0-3.a.1.2, 63.36.0.b.1, 70.2.0.a.1, 210.24.1.?, $\ldots$ |
$[(0, 5)]$ |
$1$ |
| 2240.v1 |
2240g1 |
2240.v |
2240g |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5 \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$-0.214758$ |
$-1024/35$ |
$0.78213$ |
$2.68736$ |
$[0, 1, 0, -5, 35]$ |
\(y^2=x^3+x^2-5x+35\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.w1 |
2240l1 |
2240.w |
2240l |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5 \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.387554873$ |
$1$ |
|
$2$ |
$192$ |
$-0.316967$ |
$-6229504/1715$ |
$0.82351$ |
$2.61761$ |
$[0, 1, 0, -15, 23]$ |
\(y^2=x^3+x^2-15x+23\) |
70.2.0.a.1 |
$[(-2, 7)]$ |
$1$ |
| 2240.x1 |
2240z1 |
2240.x |
2240z |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$-0.177352$ |
$-738763264/875$ |
$0.89330$ |
$3.18650$ |
$[0, 1, 0, -75, -277]$ |
\(y^2=x^3+x^2-75x-277\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.y1 |
2240r1 |
2240.y |
2240r |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 5 \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$192$ |
$-0.673357$ |
$13824/35$ |
$0.66491$ |
$1.93272$ |
$[0, 0, 0, 2, 2]$ |
\(y^2=x^3+2x+2\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 2240.z1 |
2240d1 |
2240.z |
2240d |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( - 2^{14} \cdot 5^{5} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.738044$ |
$-30211716096/1071875$ |
$1.00205$ |
$4.39383$ |
$[0, 0, 0, -1648, 26528]$ |
\(y^2=x^3-1648x+26528\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
