| 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 |
| 30420.a1 |
30420n1 |
30420.a |
30420n |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$156$ |
$12$ |
$0$ |
$1.242524855$ |
$1$ |
|
$2$ |
$17280$ |
$0.435051$ |
$1141504/625$ |
$0.86277$ |
$2.75525$ |
$[0, 0, 0, -273, -403]$ |
\(y^2=x^3-273x-403\) |
2.2.0.a.1, 26.6.0.a.1, 156.12.0.? |
$[(-4, 25)]$ |
| 30420.b1 |
30420m1 |
30420.b |
30420m |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.230648587$ |
$1$ |
|
$8$ |
$18432$ |
$0.487174$ |
$106496/75$ |
$0.85441$ |
$2.79405$ |
$[0, 0, 0, 312, -988]$ |
\(y^2=x^3+312x-988\) |
6.2.0.a.1 |
$[(16, 90)]$ |
| 30420.c1 |
30420j3 |
30420.c |
30420j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$6.503794695$ |
$1$ |
|
$1$ |
$82944$ |
$1.451138$ |
$488095744/125$ |
$1.07376$ |
$4.33601$ |
$[0, 0, 0, -62868, 6065917]$ |
\(y^2=x^3-62868x+6065917\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(2999/5, 62568/5)]$ |
| 30420.c2 |
30420j4 |
30420.c |
30420j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$3.251897347$ |
$1$ |
|
$3$ |
$165888$ |
$1.797710$ |
$-20720464/15625$ |
$0.95894$ |
$4.37935$ |
$[0, 0, 0, -55263, 7588438]$ |
\(y^2=x^3-55263x+7588438\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(-78, 3380)]$ |
| 30420.c3 |
30420j1 |
30420.c |
30420j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$2.167931565$ |
$1$ |
|
$5$ |
$27648$ |
$0.901831$ |
$16384/5$ |
$0.95621$ |
$3.33803$ |
$[0, 0, 0, -2028, -24167]$ |
\(y^2=x^3-2028x-24167\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-22, 99)]$ |
| 30420.c4 |
30420j2 |
30420.c |
30420j |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1.083965782$ |
$1$ |
|
$7$ |
$55296$ |
$1.248404$ |
$21296/25$ |
$0.83964$ |
$3.63475$ |
$[0, 0, 0, 5577, -162578]$ |
\(y^2=x^3+5577x-162578\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(39, 338)]$ |
| 30420.d1 |
30420k1 |
30420.d |
30420k |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$27.11037564$ |
$1$ |
|
$1$ |
$193536$ |
$1.817774$ |
$153910165504/845$ |
$0.97660$ |
$4.89337$ |
$[0, 0, 0, -427908, -107738683]$ |
\(y^2=x^3-427908x-107738683\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 120.24.0.?, $\ldots$ |
$[(6861149930921/47792, 17504016950471194091/47792)]$ |
| 30420.d2 |
30420k2 |
30420.d |
30420k |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$13.55518782$ |
$1$ |
|
$1$ |
$387072$ |
$2.164349$ |
$-9115564624/714025$ |
$0.88863$ |
$4.90046$ |
$[0, 0, 0, -420303, -111752602]$ |
\(y^2=x^3-420303x-111752602\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 120.24.0.?, 312.12.0.?, $\ldots$ |
$[(46789561/232, 167442197715/232)]$ |
| 30420.e1 |
30420h2 |
30420.e |
30420h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$780$ |
$96$ |
$2$ |
$2.856475550$ |
$1$ |
|
$6$ |
$155520$ |
$1.746372$ |
$151635187115776/25$ |
$1.11334$ |
$5.06416$ |
$[0, 0, 0, -770133, 260133757]$ |
\(y^2=x^3-770133x+260133757\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 26.6.0.a.1, 60.32.0-60.a.2.8, $\ldots$ |
$[(516, 365)]$ |
| 30420.e2 |
30420h1 |
30420.e |
30420h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$780$ |
$96$ |
$2$ |
$0.952158516$ |
$1$ |
|
$2$ |
$51840$ |
$1.197067$ |
$296747776/15625$ |
$0.92816$ |
$3.79086$ |
$[0, 0, 0, -9633, 346957]$ |
\(y^2=x^3-9633x+346957\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 26.6.0.a.1, 60.32.0-60.a.1.2, $\ldots$ |
$[(156, 1625)]$ |
| 30420.f1 |
30420a2 |
30420.f |
30420a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.082506915$ |
$1$ |
|
$17$ |
$387072$ |
$2.060970$ |
$98055792/8125$ |
$1.02576$ |
$4.76839$ |
$[0, 0, 0, -278343, 52319358]$ |
\(y^2=x^3-278343x+52319358\) |
2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? |
$[(559, 8450), (207, 1890)]$ |
| 30420.f2 |
30420a1 |
30420.f |
30420a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.082506915$ |
$1$ |
|
$19$ |
$193536$ |
$1.714399$ |
$442368/4225$ |
$1.05520$ |
$4.24212$ |
$[0, 0, 0, 18252, 3737097]$ |
\(y^2=x^3+18252x+3737097\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(52, 2197), (-104, 845)]$ |
| 30420.g1 |
30420o2 |
30420.g |
30420o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1198080$ |
$2.810760$ |
$4877139472/1171875$ |
$1.11253$ |
$5.57299$ |
$[0, 0, 0, -4435743, 2749795958]$ |
\(y^2=x^3-4435743x+2749795958\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 30420.g2 |
30420o1 |
30420.g |
30420o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$599040$ |
$2.464188$ |
$63404326912/5625$ |
$1.03071$ |
$5.55288$ |
$[0, 0, 0, -4139148, 3241016597]$ |
\(y^2=x^3-4139148x+3241016597\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 30420.h1 |
30420e1 |
30420.h |
30420e |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{21} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$21.79419112$ |
$1$ |
|
$0$ |
$3594240$ |
$3.478264$ |
$-143737544704/358722675$ |
$1.08334$ |
$6.31101$ |
$[0, 0, 0, -32216808, -162226822732]$ |
\(y^2=x^3-32216808x-162226822732\) |
6.2.0.a.1 |
$[(805160351701/9937, 335946163658480955/9937)]$ |
| 30420.i1 |
30420b1 |
30420.i |
30420b |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.583815$ |
$1769472/40625$ |
$1.04442$ |
$4.09499$ |
$[0, 0, 0, 8112, -1748812]$ |
\(y^2=x^3+8112x-1748812\) |
390.2.0.? |
$[]$ |
| 30420.j1 |
30420g2 |
30420.j |
30420g |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$2.465651154$ |
$1$ |
|
$2$ |
$290304$ |
$2.154781$ |
$-4684079104/823875$ |
$0.93879$ |
$4.84937$ |
$[0, 0, 0, -336648, 85849972]$ |
\(y^2=x^3-336648x+85849972\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 39.8.0-3.a.1.1, 390.16.0.? |
$[(533, 7605)]$ |
| 30420.j2 |
30420g1 |
30420.j |
30420g |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$0.821883718$ |
$1$ |
|
$4$ |
$96768$ |
$1.605474$ |
$2809856/1755$ |
$0.89795$ |
$4.10499$ |
$[0, 0, 0, 28392, -518492]$ |
\(y^2=x^3+28392x-518492\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 39.8.0-3.a.1.2, 390.16.0.? |
$[(416, 9126)]$ |
| 30420.k1 |
30420f2 |
30420.k |
30420f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$2.351430453$ |
$1$ |
|
$0$ |
$25920$ |
$0.813499$ |
$1000939264/15625$ |
$0.89834$ |
$3.41169$ |
$[0, 0, 0, -2613, 50713]$ |
\(y^2=x^3-2613x+50713\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(81/2, 625/2)]$ |
| 30420.k2 |
30420f1 |
30420.k |
30420f |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$0.783810151$ |
$1$ |
|
$4$ |
$8640$ |
$0.264194$ |
$1141504/25$ |
$0.76553$ |
$2.75525$ |
$[0, 0, 0, -273, -1703]$ |
\(y^2=x^3-273x-1703\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(-9, 5)]$ |
| 30420.l1 |
30420i1 |
30420.l |
30420i |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1.545762861$ |
$1$ |
|
$7$ |
$258048$ |
$1.966900$ |
$3718856704/2132325$ |
$1.07236$ |
$4.53272$ |
$[0, 0, 0, -123708, -1606007]$ |
\(y^2=x^3-123708x-1606007\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(494, 7605)]$ |
| 30420.l2 |
30420i2 |
30420.l |
30420i |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$3.091525722$ |
$1$ |
|
$5$ |
$516096$ |
$2.313473$ |
$14647977776/8555625$ |
$0.99143$ |
$4.93411$ |
$[0, 0, 0, 492297, -12817298]$ |
\(y^2=x^3+492297x-12817298\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 312.24.0.?, $\ldots$ |
$[(251, 11250)]$ |
| 30420.m1 |
30420l1 |
30420.m |
30420l |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$0.814200076$ |
$1$ |
|
$4$ |
$104832$ |
$1.465828$ |
$89856/25$ |
$0.66228$ |
$3.99984$ |
$[0, 0, 0, -19773, -771147]$ |
\(y^2=x^3-19773x-771147\) |
2.2.0.a.1, 26.6.0.a.1, 60.4.0-2.a.1.1, 780.12.0.? |
$[(169, 845)]$ |
| 30420.n1 |
30420p1 |
30420.n |
30420p |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.133095$ |
$-22478848/10935$ |
$1.00451$ |
$3.62011$ |
$[0, 0, 0, -4368, -150748]$ |
\(y^2=x^3-4368x-150748\) |
390.2.0.? |
$[]$ |
| 30420.o1 |
30420z1 |
30420.o |
30420z |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$12.67333713$ |
$1$ |
|
$0$ |
$1048320$ |
$2.415569$ |
$-22478848/10935$ |
$1.00451$ |
$5.11095$ |
$[0, 0, 0, -738192, -331193356]$ |
\(y^2=x^3-738192x-331193356\) |
390.2.0.? |
$[(33086989/149, 143385392475/149)]$ |
| 30420.p1 |
30420v1 |
30420.p |
30420v |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{19} \cdot 5^{5} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2096640$ |
$3.047287$ |
$3186827264/64769371875$ |
$1.15762$ |
$5.80027$ |
$[0, 0, 0, 296088, 11621189684]$ |
\(y^2=x^3+296088x+11621189684\) |
390.2.0.? |
$[]$ |
| 30420.q1 |
30420w1 |
30420.q |
30420w |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$780$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.183354$ |
$89856/25$ |
$0.66228$ |
$2.50901$ |
$[0, 0, 0, -117, -351]$ |
\(y^2=x^3-117x-351\) |
2.2.0.a.1, 26.6.0.a.1, 780.12.0.? |
$[]$ |
| 30420.r1 |
30420s2 |
30420.r |
30420s |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$336960$ |
$2.095974$ |
$1000939264/15625$ |
$0.89834$ |
$4.90253$ |
$[0, 0, 0, -441597, 111416461]$ |
\(y^2=x^3-441597x+111416461\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 26.6.0.a.1, 60.32.0-60.a.2.8, $\ldots$ |
$[]$ |
| 30420.r2 |
30420s1 |
30420.r |
30420s |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$112320$ |
$1.546669$ |
$1141504/25$ |
$0.76553$ |
$4.24608$ |
$[0, 0, 0, -46137, -3741491]$ |
\(y^2=x^3-46137x-3741491\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 26.6.0.a.1, 60.32.0-60.a.1.2, $\ldots$ |
$[]$ |
| 30420.s1 |
30420r1 |
30420.s |
30420r |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{21} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$2.195789$ |
$-143737544704/358722675$ |
$1.08334$ |
$4.82018$ |
$[0, 0, 0, -190632, -73840156]$ |
\(y^2=x^3-190632x-73840156\) |
6.2.0.a.1 |
$[]$ |
| 30420.t1 |
30420y2 |
30420.t |
30420y |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.507686851$ |
$1$ |
|
$9$ |
$92160$ |
$1.528286$ |
$4877139472/1171875$ |
$1.11253$ |
$4.08216$ |
$[0, 0, 0, -26247, 1251614]$ |
\(y^2=x^3-26247x+1251614\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(43, 450)]$ |
| 30420.t2 |
30420y1 |
30420.t |
30420y |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.253843425$ |
$1$ |
|
$13$ |
$46080$ |
$1.181713$ |
$63404326912/5625$ |
$1.03071$ |
$4.06205$ |
$[0, 0, 0, -24492, 1475201]$ |
\(y^2=x^3-24492x+1475201\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(52, 585)]$ |
| 30420.u1 |
30420c2 |
30420.u |
30420c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.371398278$ |
$1$ |
|
$3$ |
$129024$ |
$1.511665$ |
$98055792/8125$ |
$1.02576$ |
$4.12984$ |
$[0, 0, 0, -30927, -1937754]$ |
\(y^2=x^3-30927x-1937754\) |
2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? |
$[(1222, 42250)]$ |
| 30420.u2 |
30420c1 |
30420.u |
30420c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.742796556$ |
$1$ |
|
$1$ |
$64512$ |
$1.165092$ |
$442368/4225$ |
$1.05520$ |
$3.60357$ |
$[0, 0, 0, 2028, -138411]$ |
\(y^2=x^3+2028x-138411\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(4849/4, 340535/4)]$ |
| 30420.v1 |
30420d1 |
30420.v |
30420d |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.258989750$ |
$1$ |
|
$6$ |
$241920$ |
$2.133121$ |
$1769472/40625$ |
$1.04442$ |
$4.73355$ |
$[0, 0, 0, 73008, 47217924]$ |
\(y^2=x^3+73008x+47217924\) |
390.2.0.? |
$[(1248, 45630)]$ |
| 30420.w1 |
30420q2 |
30420.w |
30420q |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2021760$ |
$3.028847$ |
$151635187115776/25$ |
$1.11334$ |
$6.55499$ |
$[0, 0, 0, -130152477, 571513864129]$ |
\(y^2=x^3-130152477x+571513864129\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 30420.w2 |
30420q1 |
30420.w |
30420q |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$780$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$673920$ |
$2.479542$ |
$296747776/15625$ |
$0.92816$ |
$5.28169$ |
$[0, 0, 0, -1627977, 762264529]$ |
\(y^2=x^3-1627977x+762264529\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 26.6.0.a.1, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 30420.x1 |
30420t1 |
30420.x |
30420t |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.776625$ |
$8077950976/26325$ |
$0.94883$ |
$4.60787$ |
$[0, 0, 0, -160212, -24612991]$ |
\(y^2=x^3-160212x-24612991\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 30420.x2 |
30420t2 |
30420.x |
30420t |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.38 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$2.123199$ |
$-94875856/950625$ |
$0.90630$ |
$4.72760$ |
$[0, 0, 0, -91767, -45789874]$ |
\(y^2=x^3-91767x-45789874\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 52.12.0.d.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 30420.y1 |
30420u1 |
30420.y |
30420u |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$239616$ |
$1.769650$ |
$106496/75$ |
$0.85441$ |
$4.28489$ |
$[0, 0, 0, 52728, -2170636]$ |
\(y^2=x^3+52728x-2170636\) |
6.2.0.a.1 |
$[]$ |
| 30420.z1 |
30420x1 |
30420.z |
30420x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$224640$ |
$1.717525$ |
$1141504/625$ |
$0.86277$ |
$4.24608$ |
$[0, 0, 0, -46137, -885391]$ |
\(y^2=x^3-46137x-885391\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 26.6.0.a.1, 156.12.0.? |
$[]$ |
