| 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 |
| 13520.a1 |
13520f1 |
13520.a |
13520f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.286004912$ |
$1$ |
|
$6$ |
$5760$ |
$0.305920$ |
$-338/5$ |
$0.82681$ |
$2.83717$ |
$[0, 1, 0, -56, 820]$ |
\(y^2=x^3+x^2-56x+820\) |
40.2.0.a.1 |
$[(4, 26)]$ |
| 13520.b1 |
13520v2 |
13520.b |
13520v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$3.000560541$ |
$1$ |
|
$5$ |
$20736$ |
$1.122992$ |
$10260751717/125000$ |
$1.10093$ |
$4.10687$ |
$[0, 1, 0, -9416, -351116]$ |
\(y^2=x^3+x^2-9416x-351116\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[(-60, 38)]$ |
| 13520.b2 |
13520v1 |
13520.b |
13520v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1.500280270$ |
$1$ |
|
$7$ |
$10368$ |
$0.776418$ |
$16194277/8000$ |
$0.94554$ |
$3.42862$ |
$[0, 1, 0, -1096, 4980]$ |
\(y^2=x^3+x^2-1096x+4980\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[(4, 26)]$ |
| 13520.c1 |
13520e1 |
13520.c |
13520e |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$2.733676860$ |
$1$ |
|
$5$ |
$10752$ |
$0.888139$ |
$3631696/65$ |
$0.75998$ |
$3.78894$ |
$[0, 1, 0, -3436, 75180]$ |
\(y^2=x^3+x^2-3436x+75180\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[(26, 64)]$ |
| 13520.c2 |
13520e2 |
13520.c |
13520e |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$1.366838430$ |
$1$ |
|
$7$ |
$21504$ |
$1.234713$ |
$-4/4225$ |
$1.09431$ |
$4.00809$ |
$[0, 1, 0, -56, 219844]$ |
\(y^2=x^3+x^2-56x+219844\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 52.12.0-4.a.1.1, 260.24.0.?, $\ldots$ |
$[(-48, 338)]$ |
| 13520.d1 |
13520be1 |
13520.d |
13520be |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{20} \cdot 5^{5} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$0.427972891$ |
$1$ |
|
$9$ |
$322560$ |
$2.332573$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.83740$ |
$[0, 1, 0, -2274120, 1319044468]$ |
\(y^2=x^3+x^2-2274120x+1319044468\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[(836, 1690)]$ |
| 13520.d2 |
13520be2 |
13520.d |
13520be |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$0.855945783$ |
$1$ |
|
$7$ |
$645120$ |
$2.679146$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.87533$ |
$[0, 1, 0, -2057800, 1580272500]$ |
\(y^2=x^3+x^2-2057800x+1580272500\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(-100, 42250)]$ |
| 13520.e1 |
13520bg2 |
13520.e |
13520bg |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 5^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$269568$ |
$2.405464$ |
$10260751717/125000$ |
$1.10093$ |
$5.72480$ |
$[0, 1, 0, -1591360, -765036492]$ |
\(y^2=x^3+x^2-1591360x-765036492\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
| 13520.e2 |
13520bg1 |
13520.e |
13520bg |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$134784$ |
$2.058891$ |
$16194277/8000$ |
$0.94554$ |
$5.04656$ |
$[0, 1, 0, -185280, 11682100]$ |
\(y^2=x^3+x^2-185280x+11682100\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[]$ |
| 13520.f1 |
13520bd1 |
13520.f |
13520bd |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$25.40556817$ |
$1$ |
|
$1$ |
$32256$ |
$1.268467$ |
$153910165504/845$ |
$0.97660$ |
$4.61756$ |
$[0, 1, 0, -47545, -4006170]$ |
\(y^2=x^3+x^2-47545x-4006170\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0-20.e.1.8, $\ldots$ |
$[(1380935078377/13588, 1622191906456417283/13588)]$ |
| 13520.f2 |
13520bd2 |
13520.f |
13520bd |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$12.70278408$ |
$1$ |
|
$1$ |
$64512$ |
$1.615042$ |
$-9115564624/714025$ |
$0.88863$ |
$4.62525$ |
$[0, 1, 0, -46700, -4154552]$ |
\(y^2=x^3+x^2-46700x-4154552\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0-20.d.1.4, 104.12.0.?, $\ldots$ |
$[(6386149/158, 3312044255/158)]$ |
| 13520.g1 |
13520l1 |
13520.g |
13520l |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.588394$ |
$-338/5$ |
$0.82681$ |
$4.45511$ |
$[0, 1, 0, -9520, 1839540]$ |
\(y^2=x^3+x^2-9520x+1839540\) |
40.2.0.a.1 |
$[]$ |
| 13520.h1 |
13520r2 |
13520.h |
13520r |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$269568$ |
$2.479542$ |
$151635187115776/25$ |
$1.11334$ |
$6.42084$ |
$[0, -1, 0, -14461386, 21172000615]$ |
\(y^2=x^3-x^2-14461386x+21172000615\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.2, $\ldots$ |
$[]$ |
| 13520.h2 |
13520r1 |
13520.h |
13520r |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$89856$ |
$1.930235$ |
$296747776/15625$ |
$0.92816$ |
$5.03899$ |
$[0, -1, 0, -180886, 28292315]$ |
\(y^2=x^3-x^2-180886x+28292315\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.1, $\ldots$ |
$[]$ |
| 13520.i1 |
13520q2 |
13520.i |
13520q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1.602619329$ |
$1$ |
|
$4$ |
$44928$ |
$1.546669$ |
$1000939264/15625$ |
$0.89834$ |
$4.62750$ |
$[0, -1, 0, -49066, 4142891]$ |
\(y^2=x^3-x^2-49066x+4142891\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.4, 20.4.0-2.a.1.1, $\ldots$ |
$[(113, 169), (-731/2, 21125/2)]$ |
| 13520.i2 |
13520q1 |
13520.i |
13520q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1.602619329$ |
$1$ |
|
$6$ |
$14976$ |
$0.997362$ |
$1141504/25$ |
$0.76553$ |
$3.91509$ |
$[0, -1, 0, -5126, -136865]$ |
\(y^2=x^3-x^2-5126x-136865\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.1, 20.4.0-2.a.1.1, $\ldots$ |
$[(113, 845), (-727/4, 845/4)]$ |
| 13520.j1 |
13520z2 |
13520.j |
13520z |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.323178882$ |
$1$ |
|
$4$ |
$3456$ |
$0.264194$ |
$1000939264/15625$ |
$0.89834$ |
$3.00956$ |
$[0, -1, 0, -290, 1975]$ |
\(y^2=x^3-x^2-290x+1975\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.2, $\ldots$ |
$[(5, 25)]$ |
| 13520.j2 |
13520z1 |
13520.j |
13520z |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.969536647$ |
$1$ |
|
$2$ |
$1152$ |
$-0.285113$ |
$1141504/25$ |
$0.76553$ |
$2.29715$ |
$[0, -1, 0, -30, -53]$ |
\(y^2=x^3-x^2-30x-53\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 60.16.0.a.1, $\ldots$ |
$[(-3, 1)]$ |
| 13520.k1 |
13520y2 |
13520.k |
13520y |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.515729542$ |
$1$ |
|
$4$ |
$20736$ |
$1.197067$ |
$151635187115776/25$ |
$1.11334$ |
$4.80291$ |
$[0, -1, 0, -85570, 9663107]$ |
\(y^2=x^3-x^2-85570x+9663107\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.4, 20.4.0-2.a.1.1, $\ldots$ |
$[(169, 5)]$ |
| 13520.k2 |
13520y1 |
13520.k |
13520y |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.171909847$ |
$1$ |
|
$4$ |
$6912$ |
$0.647760$ |
$296747776/15625$ |
$0.92816$ |
$3.42105$ |
$[0, -1, 0, -1070, 13207]$ |
\(y^2=x^3-x^2-1070x+13207\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.1, 20.4.0-2.a.1.1, $\ldots$ |
$[(9, 65)]$ |
| 13520.l1 |
13520a3 |
13520.l |
13520a |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1040$ |
$192$ |
$3$ |
$1.602809268$ |
$1$ |
|
$5$ |
$18432$ |
$1.080261$ |
$132304644/5$ |
$1.13632$ |
$4.31267$ |
$[0, 0, 0, -18083, 935922]$ |
\(y^2=x^3-18083x+935922\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(77, 8)]$ |
| 13520.l2 |
13520a2 |
13520.l |
13520a |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$520$ |
$192$ |
$3$ |
$3.205618536$ |
$1$ |
|
$5$ |
$9216$ |
$0.733687$ |
$148176/25$ |
$1.09175$ |
$3.45262$ |
$[0, 0, 0, -1183, 13182]$ |
\(y^2=x^3-1183x+13182\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$ |
$[(-23, 168)]$ |
| 13520.l3 |
13520a1 |
13520.l |
13520a |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1040$ |
$192$ |
$3$ |
$6.411237073$ |
$1$ |
|
$1$ |
$4608$ |
$0.387114$ |
$55296/5$ |
$1.01898$ |
$3.05750$ |
$[0, 0, 0, -338, -2197]$ |
\(y^2=x^3-338x-2197\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(-493/7, 4668/7)]$ |
| 13520.l4 |
13520a4 |
13520.l |
13520a |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$1040$ |
$192$ |
$3$ |
$1.602809268$ |
$1$ |
|
$3$ |
$18432$ |
$1.080261$ |
$237276/625$ |
$1.04671$ |
$3.78110$ |
$[0, 0, 0, 2197, 74698]$ |
\(y^2=x^3+2197x+74698\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 52.48.0-4.c.1.1, 80.96.3.?, $\ldots$ |
$[(91, 1014)]$ |
| 13520.m1 |
13520o2 |
13520.m |
13520o |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{47} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$3669120$ |
$3.727406$ |
$-1762712152495281/171798691840$ |
$1.13774$ |
$7.27808$ |
$[0, 0, 0, -208009763, 1248166024482]$ |
\(y^2=x^3-208009763x+1248166024482\) |
7.8.0.a.1, 40.2.0.a.1, 91.24.0.?, 280.16.0.?, 364.48.0.?, $\ldots$ |
$[]$ |
| 13520.m2 |
13520o1 |
13520.m |
13520o |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 5^{7} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$524160$ |
$2.754452$ |
$-2609064081/2500000$ |
$1.05128$ |
$5.95318$ |
$[0, 0, 0, -2370563, -2289392638]$ |
\(y^2=x^3-2370563x-2289392638\) |
7.8.0.a.1, 40.2.0.a.1, 91.24.0.?, 280.16.0.?, 364.48.0.?, $\ldots$ |
$[]$ |
| 13520.n1 |
13520n3 |
13520.n |
13520n |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$2.171410$ |
$294889639316481/260$ |
$1.02336$ |
$5.99511$ |
$[0, 0, 0, -3749603, 2794641122]$ |
\(y^2=x^3-3749603x+2794641122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 13520.n2 |
13520n2 |
13520.n |
13520n |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$520$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$64512$ |
$1.824835$ |
$72043225281/67600$ |
$1.01871$ |
$5.12073$ |
$[0, 0, 0, -234403, 43645602]$ |
\(y^2=x^3-234403x+43645602\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0-4.a.1.2, 40.48.0-8.g.1.4, $\ldots$ |
$[]$ |
| 13520.n3 |
13520n4 |
13520.n |
13520n |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{4} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$2.171410$ |
$-32798729601/71402500$ |
$1.04885$ |
$5.20208$ |
$[0, 0, 0, -180323, 64314978]$ |
\(y^2=x^3-180323x+64314978\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.0-4.c.1.2, 52.48.0-4.c.1.1, 520.96.1.?, $\ldots$ |
$[]$ |
| 13520.n4 |
13520n1 |
13520.n |
13520n |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{20} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$32256$ |
$1.478262$ |
$33076161/16640$ |
$0.93564$ |
$4.31267$ |
$[0, 0, 0, -18083, 338338]$ |
\(y^2=x^3-18083x+338338\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 13520.o1 |
13520h3 |
13520.o |
13520h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$43008$ |
$1.595594$ |
$9636491538/8125$ |
$0.94289$ |
$4.83636$ |
$[0, 0, 0, -95147, 11288186]$ |
\(y^2=x^3-95147x+11288186\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.15, 104.24.0.?, 520.48.0.? |
$[]$ |
| 13520.o2 |
13520h2 |
13520.o |
13520h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$21504$ |
$1.249022$ |
$8586756/4225$ |
$0.96662$ |
$4.02515$ |
$[0, 0, 0, -7267, 92274]$ |
\(y^2=x^3-7267x+92274\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.5, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 13520.o3 |
13520h1 |
13520.o |
13520h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.902448$ |
$5256144/65$ |
$0.85145$ |
$3.82780$ |
$[0, 0, 0, -3887, -92274]$ |
\(y^2=x^3-3887x-92274\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.7, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[]$ |
| 13520.o4 |
13520h4 |
13520.o |
13520h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$1.595594$ |
$208974222/142805$ |
$0.95226$ |
$4.43360$ |
$[0, 0, 0, 26533, 707434]$ |
\(y^2=x^3+26533x+707434\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.s.1.7, 104.24.0.?, $\ldots$ |
$[]$ |
| 13520.p1 |
13520w2 |
13520.p |
13520w |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{47} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$4.315851423$ |
$1$ |
|
$2$ |
$282240$ |
$2.444931$ |
$-1762712152495281/171798691840$ |
$1.13774$ |
$5.66014$ |
$[0, 0, 0, -1230827, 568122906]$ |
\(y^2=x^3-1230827x+568122906\) |
7.8.0.a.1, 28.16.0-7.a.1.2, 40.2.0.a.1, 91.24.0.?, 280.32.0.?, $\ldots$ |
$[(455, 10114)]$ |
| 13520.p2 |
13520w1 |
13520.p |
13520w |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 5^{7} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$0.616550203$ |
$1$ |
|
$6$ |
$40320$ |
$1.471977$ |
$-2609064081/2500000$ |
$1.05128$ |
$4.33525$ |
$[0, 0, 0, -14027, -1042054]$ |
\(y^2=x^3-14027x-1042054\) |
7.8.0.a.1, 28.16.0-7.a.1.1, 40.2.0.a.1, 91.24.0.?, 280.32.0.?, $\ldots$ |
$[(247, 3250)]$ |
| 13520.q1 |
13520p1 |
13520.q |
13520p |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.2 |
2Cn |
$52$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29952$ |
$1.168221$ |
$1141504/625$ |
$0.86277$ |
$3.91509$ |
$[0, 1, 0, -5126, -34501]$ |
\(y^2=x^3+x^2-5126x-34501\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 26.6.0.a.1, 52.12.0-26.a.1.3 |
$[]$ |
| 13520.r1 |
13520d1 |
13520.r |
13520d |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$1.389807961$ |
$1$ |
|
$0$ |
$1536$ |
$-0.209718$ |
$7311616/25$ |
$0.98811$ |
$2.49239$ |
$[0, 1, 0, -56, -181]$ |
\(y^2=x^3+x^2-56x-181\) |
2.2.0.a.1, 26.6.0.a.1, 260.12.0.? |
$[(-19/2, 5/2)]$ |
| 13520.s1 |
13520b1 |
13520.s |
13520b |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$3.231925723$ |
$1$ |
|
$2$ |
$29952$ |
$1.379604$ |
$3037375744/25$ |
$1.18153$ |
$4.74420$ |
$[0, 1, 0, -71036, -7310965]$ |
\(y^2=x^3+x^2-71036x-7310965\) |
2.2.0.a.1, 20.4.0-2.a.1.1, 26.6.0.a.1, 260.12.0.? |
$[(1577, 61685)]$ |
| 13520.t1 |
13520c1 |
13520.t |
13520c |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$0.512908140$ |
$1$ |
|
$2$ |
$2304$ |
$0.043772$ |
$43264/25$ |
$1.09219$ |
$2.49239$ |
$[0, 1, 0, -56, -25]$ |
\(y^2=x^3+x^2-56x-25\) |
2.2.0.a.1, 20.4.0-2.a.1.1, 26.6.0.a.1, 260.12.0.? |
$[(17, 65)]$ |
| 13520.u1 |
13520k1 |
13520.u |
13520k |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29952$ |
$1.326246$ |
$43264/25$ |
$1.09219$ |
$4.11033$ |
$[0, 1, 0, -9520, -16925]$ |
\(y^2=x^3+x^2-9520x-16925\) |
2.2.0.a.1, 26.6.0.a.1, 260.12.0.? |
$[]$ |
| 13520.v1 |
13520j1 |
13520.v |
13520j |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.097129$ |
$3037375744/25$ |
$1.18153$ |
$3.12626$ |
$[0, 1, 0, -420, -3457]$ |
\(y^2=x^3+x^2-420x-3457\) |
2.2.0.a.1, 26.6.0.a.1, 260.12.0.? |
$[]$ |
| 13520.w1 |
13520i1 |
13520.w |
13520i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19968$ |
$1.072758$ |
$7311616/25$ |
$0.98811$ |
$4.11033$ |
$[0, 1, 0, -9520, -359657]$ |
\(y^2=x^3+x^2-9520x-359657\) |
2.2.0.a.1, 20.4.0-2.a.1.1, 26.6.0.a.1, 260.12.0.? |
$[]$ |
| 13520.x1 |
13520x1 |
13520.x |
13520x |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$52$ |
$12$ |
$0$ |
$0.741090709$ |
$1$ |
|
$2$ |
$2304$ |
$-0.114255$ |
$1141504/625$ |
$0.86277$ |
$2.29715$ |
$[0, 1, 0, -30, -25]$ |
\(y^2=x^3+x^2-30x-25\) |
2.2.0.a.1, 26.6.0.a.1, 52.12.0-26.a.1.1 |
$[(-5, 5)]$ |
| 13520.y1 |
13520t3 |
13520.y |
13520t |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{24} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$290304$ |
$2.206070$ |
$988345570681/44994560$ |
$0.95432$ |
$5.39604$ |
$[0, -1, 0, -561136, 155482560]$ |
\(y^2=x^3-x^2-561136x+155482560\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
| 13520.y2 |
13520t1 |
13520.y |
13520t |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$96768$ |
$1.656765$ |
$3803721481/26000$ |
$0.90619$ |
$4.81151$ |
$[0, -1, 0, -87936, -9948160]$ |
\(y^2=x^3-x^2-87936x-9948160\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
| 13520.y3 |
13520t2 |
13520.y |
13520t |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$2.003338$ |
$-217081801/10562500$ |
$0.97746$ |
$4.97763$ |
$[0, -1, 0, -33856, -22105344]$ |
\(y^2=x^3-x^2-33856x-22105344\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ |
$[]$ |
| 13520.y4 |
13520t4 |
13520.y |
13520t |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{18} \cdot 5^{2} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$580608$ |
$2.552647$ |
$157376536199/7722894400$ |
$1.01877$ |
$5.66844$ |
$[0, -1, 0, 304144, 590891456]$ |
\(y^2=x^3-x^2+304144x+590891456\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ |
$[]$ |
| 13520.z1 |
13520s1 |
13520.z |
13520s |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44928$ |
$1.465408$ |
$-658489/40$ |
$0.82676$ |
$4.45072$ |
$[0, -1, 0, -27096, -1795600]$ |
\(y^2=x^3-x^2-27096x-1795600\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[]$ |
| 13520.z2 |
13520s2 |
13520.z |
13520s |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( - 2^{21} \cdot 5^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134784$ |
$2.014713$ |
$108750551/64000$ |
$1.00157$ |
$4.97711$ |
$[0, -1, 0, 148664, -2920464]$ |
\(y^2=x^3-x^2+148664x-2920464\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[]$ |
