| 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 |
| 5070.a1 |
5070a5 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$3120$ |
$192$ |
$1$ |
$7.449562855$ |
$1$ |
|
$0$ |
$86016$ |
$2.046547$ |
$81025909800741361/11088090$ |
$1.01361$ |
$6.36767$ |
$[1, 1, 0, -1523538, -724450878]$ |
\(y^2+xy=x^3+x^2-1523538x-724450878\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 40.48.0-40.bp.1.12, 48.48.0-48.f.2.17, $\ldots$ |
$[(15931/3, 1221887/3)]$ |
| 5070.a2 |
5070a4 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{8} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$3120$ |
$192$ |
$1$ |
$0.931195356$ |
$1$ |
|
$6$ |
$43008$ |
$1.699974$ |
$66730743078481/60937500$ |
$0.97968$ |
$5.53521$ |
$[1, 1, 0, -142808, 20696148]$ |
\(y^2+xy=x^3+x^2-142808x+20696148\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.2, $\ldots$ |
$[(226, 56)]$ |
| 5070.a3 |
5070a3 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1560$ |
$192$ |
$1$ |
$3.724781427$ |
$1$ |
|
$6$ |
$43008$ |
$1.699974$ |
$19948814692561/231344100$ |
$0.97293$ |
$5.39367$ |
$[1, 1, 0, -95488, -11282708]$ |
\(y^2+xy=x^3+x^2-95488x-11282708\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.2.10, 40.48.0-40.e.1.13, $\ldots$ |
$[(-173, 397)]$ |
| 5070.a4 |
5070a6 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$3120$ |
$192$ |
$1$ |
$7.449562855$ |
$1$ |
|
$2$ |
$86016$ |
$2.046547$ |
$-168288035761/73415764890$ |
$1.05371$ |
$5.61067$ |
$[1, 1, 0, -19438, -28667738]$ |
\(y^2+xy=x^3+x^2-19438x-28667738\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.by.2, $\ldots$ |
$[(1517, 57857)]$ |
| 5070.a5 |
5070a2 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1560$ |
$192$ |
$1$ |
$1.862390713$ |
$1$ |
|
$8$ |
$21504$ |
$1.353401$ |
$30400540561/15210000$ |
$0.96238$ |
$4.63333$ |
$[1, 1, 0, -10988, 158592]$ |
\(y^2+xy=x^3+x^2-10988x+158592\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.2, 24.48.0-24.h.1.31, $\ldots$ |
$[(-4, 452)]$ |
| 5070.a6 |
5070a1 |
5070.a |
5070a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$3120$ |
$192$ |
$1$ |
$0.931195356$ |
$1$ |
|
$5$ |
$10752$ |
$1.006826$ |
$371694959/249600$ |
$0.92494$ |
$4.11709$ |
$[1, 1, 0, 2532, 20688]$ |
\(y^2+xy=x^3+x^2+2532x+20688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.4, $\ldots$ |
$[(109, 1213)]$ |
| 5070.b1 |
5070c1 |
5070.b |
5070c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{5} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$5.683942767$ |
$1$ |
|
$2$ |
$212160$ |
$2.541252$ |
$-2813198004118489/33177600000$ |
$1.02381$ |
$6.57745$ |
$[1, 1, 0, -2747943, 1769945013]$ |
\(y^2+xy=x^3+x^2-2747943x+1769945013\) |
40.2.0.a.1 |
$[(1161, 11511)]$ |
| 5070.c1 |
5070b1 |
5070.c |
5070b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.875420240$ |
$1$ |
|
$4$ |
$2688$ |
$0.385779$ |
$-1557701041/4199040$ |
$0.96965$ |
$3.28556$ |
$[1, 1, 0, -133, 1357]$ |
\(y^2+xy=x^3+x^2-133x+1357\) |
40.2.0.a.1 |
$[(-11, 46)]$ |
| 5070.d1 |
5070f1 |
5070.d |
5070f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$528528$ |
$2.979908$ |
$41689615345255319/28343520000000$ |
$1.06366$ |
$6.89110$ |
$[1, 1, 0, 6749688, 2824854336]$ |
\(y^2+xy=x^3+x^2+6749688x+2824854336\) |
120.2.0.? |
$[]$ |
| 5070.e1 |
5070e2 |
5070.e |
5070e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.183432$ |
$10779215329/1232010$ |
$1.08676$ |
$4.51180$ |
$[1, 1, 0, -7777, -239741]$ |
\(y^2+xy=x^3+x^2-7777x-239741\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 5070.e2 |
5070e1 |
5070.e |
5070e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8064$ |
$0.836857$ |
$6967871/35100$ |
$0.89079$ |
$3.89028$ |
$[1, 1, 0, 673, -18351]$ |
\(y^2+xy=x^3+x^2+673x-18351\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 5070.f1 |
5070d1 |
5070.f |
5070d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1872$ |
$0.267981$ |
$-50308609/1105920$ |
$0.98509$ |
$3.10942$ |
$[1, 1, 0, -42, -684]$ |
\(y^2+xy=x^3+x^2-42x-684\) |
120.2.0.? |
$[]$ |
| 5070.g1 |
5070g2 |
5070.g |
5070g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.862549999$ |
$1$ |
|
$4$ |
$1920$ |
$0.210676$ |
$16718302693/90$ |
$0.96871$ |
$3.66127$ |
$[1, 1, 0, -692, 6726]$ |
\(y^2+xy=x^3+x^2-692x+6726\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(5, 56)]$ |
| 5070.g2 |
5070g1 |
5070.g |
5070g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.431274999$ |
$1$ |
|
$9$ |
$960$ |
$-0.135897$ |
$-3869893/300$ |
$0.87964$ |
$2.69476$ |
$[1, 1, 0, -42, 96]$ |
\(y^2+xy=x^3+x^2-42x+96\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(2, 4)]$ |
| 5070.h1 |
5070h1 |
5070.h |
5070h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$4.289049559$ |
$1$ |
|
$3$ |
$336960$ |
$2.679916$ |
$570403428460237/23887872000$ |
$1.03085$ |
$6.68870$ |
$[1, 1, 0, -3795912, -2743222464]$ |
\(y^2+xy=x^3+x^2-3795912x-2743222464\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$ |
$[(-1233, 8649)]$ |
| 5070.h2 |
5070h2 |
5070.h |
5070h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$8.578099118$ |
$1$ |
|
$0$ |
$673920$ |
$3.026489$ |
$63745936931123/4251528000000$ |
$1.08920$ |
$6.98724$ |
$[1, 1, 0, 1828408, -10170699456]$ |
\(y^2+xy=x^3+x^2+1828408x-10170699456\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.f.1, 39.12.0.a.1, $\ldots$ |
$[(886117/7, 832675838/7)]$ |
| 5070.i1 |
5070j1 |
5070.i |
5070j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{4} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87360$ |
$1.900578$ |
$-79370312059129/12960$ |
$1.18524$ |
$6.15686$ |
$[1, 0, 1, -836554, -294572068]$ |
\(y^2+xy+y=x^3-836554x-294572068\) |
40.2.0.a.1 |
$[]$ |
| 5070.j1 |
5070i1 |
5070.j |
5070i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 13^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3024$ |
$0.461392$ |
$-2365581049/6750$ |
$0.97050$ |
$3.73328$ |
$[1, 0, 1, -849, 9466]$ |
\(y^2+xy+y=x^3-849x+9466\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
| 5070.j2 |
5070i2 |
5070.j |
5070i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{9} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9072$ |
$1.010698$ |
$18573478391/46875000$ |
$1.02244$ |
$4.11636$ |
$[1, 0, 1, 1686, 49012]$ |
\(y^2+xy+y=x^3+1686x+49012\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
| 5070.k1 |
5070k4 |
5070.k |
5070k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$2.518085046$ |
$1$ |
|
$2$ |
$48384$ |
$1.962297$ |
$189208196468929/10860320250$ |
$0.98694$ |
$5.65737$ |
$[1, 0, 1, -202128, -33214244]$ |
\(y^2+xy+y=x^3-202128x-33214244\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.2, $\ldots$ |
$[(-298, 909)]$ |
| 5070.k2 |
5070k2 |
5070.k |
5070k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.839361682$ |
$1$ |
|
$6$ |
$16128$ |
$1.412992$ |
$967068262369/4928040$ |
$0.95296$ |
$5.03889$ |
$[1, 0, 1, -34818, 2486668]$ |
\(y^2+xy+y=x^3-34818x+2486668\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$ |
$[(92, 207)]$ |
| 5070.k3 |
5070k1 |
5070.k |
5070k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.419680841$ |
$1$ |
|
$9$ |
$8064$ |
$1.066418$ |
$-24137569/561600$ |
$1.08140$ |
$4.23246$ |
$[1, 0, 1, -1018, 80108]$ |
\(y^2+xy+y=x^3-1018x+80108\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 39.8.0-3.a.1.1, 40.6.0.c.1, $\ldots$ |
$[(-38, 272)]$ |
| 5070.k4 |
5070k3 |
5070.k |
5070k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1.259042523$ |
$1$ |
|
$5$ |
$24192$ |
$1.615725$ |
$17394111071/411937500$ |
$1.08898$ |
$5.00007$ |
$[1, 0, 1, 9122, -2118244]$ |
\(y^2+xy+y=x^3+9122x-2118244\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 39.8.0-3.a.1.2, 40.6.0.c.1, $\ldots$ |
$[(222, 3184)]$ |
| 5070.l1 |
5070p1 |
5070.l |
5070p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$0.628735221$ |
$1$ |
|
$9$ |
$25920$ |
$1.397442$ |
$570403428460237/23887872000$ |
$1.03085$ |
$4.88474$ |
$[1, 1, 1, -22461, -1257261]$ |
\(y^2+xy+y=x^3+x^2-22461x-1257261\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 30.36.0.d.1, $\ldots$ |
$[(-89, 260)]$ |
| 5070.l2 |
5070p2 |
5070.l |
5070p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1.257470443$ |
$1$ |
|
$6$ |
$51840$ |
$1.744015$ |
$63745936931123/4251528000000$ |
$1.08920$ |
$5.18329$ |
$[1, 1, 1, 10819, -4625197]$ |
\(y^2+xy+y=x^3+x^2+10819x-4625197\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.f.1, 39.12.0.a.1, $\ldots$ |
$[(327, 5668)]$ |
| 5070.m1 |
5070o2 |
5070.m |
5070o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.978281887$ |
$1$ |
|
$0$ |
$24960$ |
$1.493151$ |
$16718302693/90$ |
$0.96871$ |
$5.46522$ |
$[1, 1, 1, -117036, 15362043]$ |
\(y^2+xy+y=x^3+x^2-117036x+15362043\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(3173/4, -4563/4)]$ |
| 5070.m2 |
5070o1 |
5070.m |
5070o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.989140943$ |
$1$ |
|
$3$ |
$12480$ |
$1.146578$ |
$-3869893/300$ |
$0.87964$ |
$4.49872$ |
$[1, 1, 1, -7186, 246683]$ |
\(y^2+xy+y=x^3+x^2-7186x+246683\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(61, 169)]$ |
| 5070.n1 |
5070m2 |
5070.n |
5070m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.534311$ |
$68523370149961/243360$ |
$0.97981$ |
$5.53831$ |
$[1, 1, 1, -144076, -21109171]$ |
\(y^2+xy+y=x^3+x^2-144076x-21109171\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 5070.n2 |
5070m1 |
5070.n |
5070m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13440$ |
$1.187737$ |
$-16022066761/998400$ |
$0.92192$ |
$4.57024$ |
$[1, 1, 1, -8876, -342451]$ |
\(y^2+xy+y=x^3+x^2-8876x-342451\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 5070.o1 |
5070l1 |
5070.o |
5070l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24336$ |
$1.550455$ |
$-50308609/1105920$ |
$0.98509$ |
$4.91338$ |
$[1, 1, 1, -7186, -1466977]$ |
\(y^2+xy+y=x^3+x^2-7186x-1466977\) |
120.2.0.? |
$[]$ |
| 5070.p1 |
5070n1 |
5070.p |
5070n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40656$ |
$1.697433$ |
$41689615345255319/28343520000000$ |
$1.06366$ |
$5.08715$ |
$[1, 1, 1, 39939, 1301139]$ |
\(y^2+xy+y=x^3+x^2+39939x+1301139\) |
120.2.0.? |
$[]$ |
| 5070.q1 |
5070r1 |
5070.q |
5070r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.288718969$ |
$1$ |
|
$6$ |
$34944$ |
$1.668255$ |
$-1557701041/4199040$ |
$0.96965$ |
$5.08952$ |
$[1, 1, 1, -22565, 3093995]$ |
\(y^2+xy+y=x^3+x^2-22565x+3093995\) |
40.2.0.a.1 |
$[(915, 26920)]$ |
| 5070.r1 |
5070s1 |
5070.r |
5070s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{5} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.037363363$ |
$1$ |
|
$18$ |
$16320$ |
$1.258778$ |
$-2813198004118489/33177600000$ |
$1.02381$ |
$4.77350$ |
$[1, 1, 1, -16260, 799365]$ |
\(y^2+xy+y=x^3+x^2-16260x+799365\) |
40.2.0.a.1 |
$[(253, 3473)]$ |
| 5070.s1 |
5070q3 |
5070.s |
5070q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$9.019660460$ |
$1$ |
|
$0$ |
$21504$ |
$1.509508$ |
$12501706118329/2570490$ |
$0.96978$ |
$5.33889$ |
$[1, 1, 1, -81715, -9023305]$ |
\(y^2+xy+y=x^3+x^2-81715x-9023305\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.v.1.7, 104.24.0.?, $\ldots$ |
$[(-32381/14, 333915/14)]$ |
| 5070.s2 |
5070q2 |
5070.s |
5070q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$4.509830230$ |
$1$ |
|
$2$ |
$10752$ |
$1.162933$ |
$4165509529/1368900$ |
$0.92273$ |
$4.40035$ |
$[1, 1, 1, -5665, -110245]$ |
\(y^2+xy+y=x^3+x^2-5665x-110245\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.6, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-109/2, 1365/2)]$ |
| 5070.s3 |
5070q1 |
5070.s |
5070q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$2.254915115$ |
$1$ |
|
$7$ |
$5376$ |
$0.816360$ |
$273359449/9360$ |
$0.87806$ |
$4.08107$ |
$[1, 1, 1, -2285, 39827]$ |
\(y^2+xy+y=x^3+x^2-2285x+39827\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 104.24.0.?, 130.6.0.?, $\ldots$ |
$[(15, 88)]$ |
| 5070.s4 |
5070q4 |
5070.s |
5070q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$2.254915115$ |
$1$ |
|
$0$ |
$21504$ |
$1.509508$ |
$99317171591/106616250$ |
$1.03579$ |
$4.77210$ |
$[1, 1, 1, 16305, -734193]$ |
\(y^2+xy+y=x^3+x^2+16305x-734193\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 104.24.0.?, 520.48.0.? |
$[(423/2, 11403/2)]$ |
| 5070.t1 |
5070t4 |
5070.t |
5070t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1.530216493$ |
$1$ |
|
$6$ |
$725760$ |
$3.287861$ |
$73474353581350183614361/576510977802240$ |
$1.05636$ |
$7.97564$ |
$[1, 0, 0, -147465601, -689269402615]$ |
\(y^2+xy=x^3-147465601x-689269402615\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.2, $\ldots$ |
$[(-7006, 5531)]$ |
| 5070.t2 |
5070t3 |
5070.t |
5070t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.765108246$ |
$1$ |
|
$9$ |
$362880$ |
$2.941288$ |
$-16818951115904497561/1592332281446400$ |
$1.03465$ |
$7.01085$ |
$[1, 0, 0, -9020801, -11249839095]$ |
\(y^2+xy=x^3-9020801x-11249839095\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 39.8.0-3.a.1.2, 40.6.0.c.1, $\ldots$ |
$[(4018, 129811)]$ |
| 5070.t3 |
5070t2 |
5070.t |
5070t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{18} \cdot 5^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.510072164$ |
$1$ |
|
$10$ |
$241920$ |
$2.738556$ |
$453198971846635561/261896250564000$ |
$1.11183$ |
$6.56947$ |
$[1, 0, 0, -2704426, 64216580]$ |
\(y^2+xy=x^3-2704426x+64216580\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$ |
$[(-766, 41450)]$ |
| 5070.t4 |
5070t1 |
5070.t |
5070t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.255036082$ |
$1$ |
|
$15$ |
$120960$ |
$2.391979$ |
$7064514799444439/4094064000000$ |
$1.10261$ |
$6.08170$ |
$[1, 0, 0, 675574, 8108580]$ |
\(y^2+xy=x^3+675574x+8108580\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 39.8.0-3.a.1.1, 40.6.0.c.1, $\ldots$ |
$[(196, 12070)]$ |
| 5070.u1 |
5070w4 |
5070.u |
5070w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.479736$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$7.16297$ |
$[1, 0, 0, -14623320, 21522489312]$ |
\(y^2+xy=x^3-14623320x+21522489312\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 5070.u2 |
5070w3 |
5070.u |
5070w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{4} \cdot 5 \cdot 13^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.479736$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$6.23652$ |
$[1, 0, 0, -1049240, 230144160]$ |
\(y^2+xy=x^3-1049240x+230144160\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 5070.u3 |
5070w2 |
5070.u |
5070w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$107520$ |
$2.133163$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$6.18801$ |
$[1, 0, 0, -914040, 336168000]$ |
\(y^2+xy=x^3-914040x+336168000\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 5070.u4 |
5070w1 |
5070.u |
5070w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$1.786591$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$5.27501$ |
$[1, 0, 0, -48760, 6842432]$ |
\(y^2+xy=x^3-48760x+6842432\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[]$ |
| 5070.v1 |
5070u1 |
5070.v |
5070u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39312$ |
$1.743866$ |
$-2365581049/6750$ |
$0.97050$ |
$5.53724$ |
$[1, 0, 0, -143400, 20940750]$ |
\(y^2+xy=x^3-143400x+20940750\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 120.8.0.?, 1560.16.0.? |
$[]$ |
| 5070.v2 |
5070u2 |
5070.v |
5070u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{9} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$117936$ |
$2.293171$ |
$18573478391/46875000$ |
$1.02244$ |
$5.92031$ |
$[1, 0, 0, 285015, 107394897]$ |
\(y^2+xy=x^3+285015x+107394897\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 120.8.0.?, 1560.16.0.? |
$[]$ |
| 5070.w1 |
5070v7 |
5070.w |
5070v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.846642$ |
$16778985534208729/81000$ |
$1.08181$ |
$6.18310$ |
$[1, 0, 0, -901365, -329456583]$ |
\(y^2+xy=x^3-901365x-329456583\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
| 5070.w2 |
5070v8 |
5070.w |
5070v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.846642$ |
$10316097499609/5859375000$ |
$1.13600$ |
$5.31637$ |
$[1, 0, 0, -76645, -1117975]$ |
\(y^2+xy=x^3-76645x-1117975\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
| 5070.w3 |
5070v6 |
5070.w |
5070v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1560$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$27648$ |
$1.500067$ |
$4102915888729/9000000$ |
$1.05221$ |
$5.20829$ |
$[1, 0, 0, -56365, -5145583]$ |
\(y^2+xy=x^3-56365x-5145583\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[]$ |
