| 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 |
| 7350.a1 |
7350k1 |
7350.a |
7350k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{11} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$524160$ |
$2.755219$ |
$-1231272543361/230400000$ |
$1.02666$ |
$6.42912$ |
$[1, 1, 0, -3662775, -3105376875]$ |
\(y^2+xy=x^3+x^2-3662775x-3105376875\) |
40.2.0.a.1 |
$[]$ |
| 7350.b1 |
7350r1 |
7350.b |
7350r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.123679940$ |
$1$ |
|
$4$ |
$21120$ |
$1.214100$ |
$16468459/165888$ |
$1.13258$ |
$4.24505$ |
$[1, 1, 0, 2425, 187125]$ |
\(y^2+xy=x^3+x^2+2425x+187125\) |
40.2.0.a.1 |
$[(35, 545)]$ |
| 7350.c1 |
7350b1 |
7350.c |
7350b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.172711707$ |
$1$ |
|
$6$ |
$1440$ |
$-0.069199$ |
$-30625/48$ |
$1.04235$ |
$2.54342$ |
$[1, 1, 0, -25, 85]$ |
\(y^2+xy=x^3+x^2-25x+85\) |
6.2.0.a.1 |
$[(6, 11)]$ |
| 7350.d1 |
7350h1 |
7350.d |
7350h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95040$ |
$1.970156$ |
$-5591213575/40310784$ |
$1.07464$ |
$5.27677$ |
$[1, 1, 0, -55325, 18352125]$ |
\(y^2+xy=x^3+x^2-55325x+18352125\) |
168.2.0.? |
$[]$ |
| 7350.e1 |
7350l1 |
7350.e |
7350l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$171360$ |
$2.226044$ |
$2157045625/1179648$ |
$1.13043$ |
$5.60910$ |
$[1, 1, 0, -352825, -19062875]$ |
\(y^2+xy=x^3+x^2-352825x-19062875\) |
8.2.0.b.1 |
$[]$ |
| 7350.f1 |
7350i3 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$1.966776$ |
$268498407453697/252$ |
$1.05727$ |
$6.12819$ |
$[1, 1, 0, -1646425, -813818375]$ |
\(y^2+xy=x^3+x^2-1646425x-813818375\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 7350.f2 |
7350i5 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$2.313351$ |
$84448510979617/933897762$ |
$1.05309$ |
$5.99826$ |
$[1, 1, 0, -1119675, 451177875]$ |
\(y^2+xy=x^3+x^2-1119675x+451177875\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[]$ |
| 7350.f3 |
7350i4 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$98304$ |
$1.966776$ |
$124475734657/63011844$ |
$1.06499$ |
$5.26590$ |
$[1, 1, 0, -127425, -6249375]$ |
\(y^2+xy=x^3+x^2-127425x-6249375\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 40.96.0-8.f.1.2, 56.96.1.bp.2, $\ldots$ |
$[]$ |
| 7350.f4 |
7350i2 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.620201$ |
$65597103937/63504$ |
$1.01692$ |
$5.19395$ |
$[1, 1, 0, -102925, -12741875]$ |
\(y^2+xy=x^3+x^2-102925x-12741875\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 20.24.0-4.b.1.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 7350.f5 |
7350i1 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.273628$ |
$-7189057/16128$ |
$0.98224$ |
$4.34763$ |
$[1, 1, 0, -4925, -295875]$ |
\(y^2+xy=x^3+x^2-4925x-295875\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[]$ |
| 7350.f6 |
7350i6 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{16} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$196608$ |
$2.313351$ |
$6359387729183/4218578658$ |
$1.08314$ |
$5.70776$ |
$[1, 1, 0, 472825, -47666625]$ |
\(y^2+xy=x^3+x^2+472825x-47666625\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 40.48.0-8.k.1.5, $\ldots$ |
$[]$ |
| 7350.g1 |
7350q1 |
7350.g |
7350q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.654908366$ |
$1$ |
|
$5$ |
$15360$ |
$1.064302$ |
$4386781853/27216$ |
$0.96368$ |
$4.34775$ |
$[1, 1, 0, -8355, -295875]$ |
\(y^2+xy=x^3+x^2-8355x-295875\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(-55, 60)]$ |
| 7350.g2 |
7350q2 |
7350.g |
7350q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.327454183$ |
$1$ |
|
$6$ |
$30720$ |
$1.410875$ |
$-310288733/11573604$ |
$1.03520$ |
$4.51989$ |
$[1, 1, 0, -3455, -633975]$ |
\(y^2+xy=x^3+x^2-3455x-633975\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(160, 1635)]$ |
| 7350.h1 |
7350e1 |
7350.h |
7350e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14400$ |
$1.013483$ |
$5213425/2592$ |
$0.99564$ |
$3.98238$ |
$[1, 1, 0, -2825, -22875]$ |
\(y^2+xy=x^3+x^2-2825x-22875\) |
8.2.0.b.1 |
$[]$ |
| 7350.i1 |
7350f1 |
7350.i |
7350f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 3^{5} \cdot 5^{2} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$109440$ |
$1.888187$ |
$-1103770289367265/891813888$ |
$1.02860$ |
$5.56400$ |
$[1, 1, 0, -308480, 65863680]$ |
\(y^2+xy=x^3+x^2-308480x+65863680\) |
168.2.0.? |
$[]$ |
| 7350.j1 |
7350a1 |
7350.j |
7350a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{7} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.205149403$ |
$1$ |
|
$4$ |
$40320$ |
$1.514891$ |
$-105484561/1440$ |
$0.92003$ |
$4.91115$ |
$[1, 1, 0, -44125, -3627875]$ |
\(y^2+xy=x^3+x^2-44125x-3627875\) |
40.2.0.a.1 |
$[(265, 1705)]$ |
| 7350.k1 |
7350p1 |
7350.k |
7350p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$2.914390012$ |
$1$ |
|
$2$ |
$5184$ |
$0.472939$ |
$-2637114025/6912$ |
$0.99964$ |
$3.59755$ |
$[1, 1, 0, -900, -10800]$ |
\(y^2+xy=x^3+x^2-900x-10800\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1 |
$[(56, 316)]$ |
| 7350.k2 |
7350p2 |
7350.k |
7350p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{24} \cdot 3 \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$0.971463337$ |
$1$ |
|
$4$ |
$15552$ |
$1.022245$ |
$18519167975/50331648$ |
$1.05037$ |
$3.96284$ |
$[1, 1, 0, 1725, -52275]$ |
\(y^2+xy=x^3+x^2+1725x-52275\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.2, 42.16.0-6.b.1.2 |
$[(470, 10005)]$ |
| 7350.l1 |
7350n1 |
7350.l |
7350n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{5} \cdot 3 \cdot 5^{8} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$2.001785123$ |
$1$ |
|
$0$ |
$33600$ |
$1.594231$ |
$-6655/96$ |
$0.94197$ |
$4.76802$ |
$[1, 1, 0, -9825, -1912875]$ |
\(y^2+xy=x^3+x^2-9825x-1912875\) |
168.2.0.? |
$[(815/2, 16335/2)]$ |
| 7350.m1 |
7350m2 |
7350.m |
7350m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{5} \cdot 3^{14} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$5.757305278$ |
$1$ |
|
$2$ |
$89600$ |
$1.990990$ |
$1118063669939/153055008$ |
$1.04479$ |
$5.39910$ |
$[1, 1, 0, -189200, -27756000]$ |
\(y^2+xy=x^3+x^2-189200x-27756000\) |
2.3.0.a.1, 24.6.0.i.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(-189, 1233)]$ |
| 7350.m2 |
7350m1 |
7350.m |
7350m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.878652639$ |
$1$ |
|
$5$ |
$44800$ |
$1.644415$ |
$19661138099/2239488$ |
$1.02113$ |
$4.94522$ |
$[1, 1, 0, -49200, 3744000]$ |
\(y^2+xy=x^3+x^2-49200x+3744000\) |
2.3.0.a.1, 24.6.0.i.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(35, 1420)]$ |
| 7350.n1 |
7350o2 |
7350.n |
7350o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1.452847086$ |
$1$ |
|
$4$ |
$272160$ |
$2.561649$ |
$2569823930905/72$ |
$1.04571$ |
$6.84187$ |
$[1, 1, 0, -13686950, 19484131500]$ |
\(y^2+xy=x^3+x^2-13686950x+19484131500\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.2, 24.8.0.b.1, 168.16.0.? |
$[(2135, -1030)]$ |
| 7350.n2 |
7350o1 |
7350.n |
7350o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$4.358541259$ |
$1$ |
|
$2$ |
$90720$ |
$2.012344$ |
$5975305/1458$ |
$1.14081$ |
$5.38478$ |
$[1, 1, 0, -181325, 22525875]$ |
\(y^2+xy=x^3+x^2-181325x+22525875\) |
3.4.0.a.1, 8.2.0.b.1, 21.8.0-3.a.1.1, 24.8.0.b.1, 168.16.0.? |
$[(59, 3440)]$ |
| 7350.o1 |
7350d1 |
7350.o |
7350d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32256$ |
$1.481541$ |
$1092727/540$ |
$0.92700$ |
$4.61378$ |
$[1, 1, 0, -18400, 359500]$ |
\(y^2+xy=x^3+x^2-18400x+359500\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |
| 7350.o2 |
7350d2 |
7350.o |
7350d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.828115$ |
$53582633/36450$ |
$0.97948$ |
$5.05103$ |
$[1, 1, 0, 67350, 2846250]$ |
\(y^2+xy=x^3+x^2+67350x+2846250\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
| 7350.p1 |
7350g5 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$2.514431$ |
$524388516989299201/3150$ |
$1.03693$ |
$6.97932$ |
$[1, 1, 0, -20580025, 35926369375]$ |
\(y^2+xy=x^3+x^2-20580025x+35926369375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.7, $\ldots$ |
$[]$ |
| 7350.p2 |
7350g4 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$147456$ |
$2.167858$ |
$128031684631201/9922500$ |
$1.00206$ |
$6.04500$ |
$[1, 1, 0, -1286275, 560925625]$ |
\(y^2+xy=x^3+x^2-1286275x+560925625\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.10, 40.48.0-8.e.2.14, $\ldots$ |
$[]$ |
| 7350.p3 |
7350g6 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$2.514431$ |
$-104094944089921/35880468750$ |
$1.00819$ |
$6.07424$ |
$[1, 1, 0, -1200525, 639043875]$ |
\(y^2+xy=x^3+x^2-1200525x+639043875\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 40.48.0-8.bb.1.6, 48.48.0-8.bb.1.7, $\ldots$ |
$[]$ |
| 7350.p4 |
7350g3 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{7} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.167858$ |
$5602762882081/345888060$ |
$0.98661$ |
$5.69353$ |
$[1, 1, 0, -453275, -111207375]$ |
\(y^2+xy=x^3+x^2-453275x-111207375\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 48.48.0-8.bb.2.7, 60.12.0.h.1, $\ldots$ |
$[]$ |
| 7350.p5 |
7350g2 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$73728$ |
$1.821283$ |
$37966934881/8643600$ |
$0.95916$ |
$5.13252$ |
$[1, 1, 0, -85775, 7495125]$ |
\(y^2+xy=x^3+x^2-85775x+7495125\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 24.48.0-8.e.1.13, 40.48.0-8.e.1.4, $\ldots$ |
$[]$ |
| 7350.p6 |
7350g1 |
7350.p |
7350g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.474710$ |
$109902239/188160$ |
$0.92835$ |
$4.55148$ |
$[1, 1, 0, 12225, 733125]$ |
\(y^2+xy=x^3+x^2+12225x+733125\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
| 7350.q1 |
7350j2 |
7350.q |
7350j |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$840$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$11760$ |
$0.939196$ |
$-6329617441/279936$ |
$1.03234$ |
$4.06524$ |
$[1, 1, 0, -3525, 82125]$ |
\(y^2+xy=x^3+x^2-3525x+82125\) |
7.24.0.a.1, 24.2.0.b.1, 35.48.0-7.a.1.1, 168.48.2.?, 840.96.2.? |
$[]$ |
| 7350.q2 |
7350j1 |
7350.q |
7350j |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3 \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$840$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1680$ |
$-0.033760$ |
$-2401/6$ |
$1.11692$ |
$2.58392$ |
$[1, 1, 0, -25, -125]$ |
\(y^2+xy=x^3+x^2-25x-125\) |
7.24.0.a.2, 24.2.0.b.1, 35.48.0-7.a.2.1, 168.48.2.?, 840.96.2.? |
$[]$ |
| 7350.r1 |
7350s2 |
7350.r |
7350s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{4} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.373368506$ |
$1$ |
|
$4$ |
$31104$ |
$1.358273$ |
$-7620530425/526848$ |
$0.98174$ |
$4.60324$ |
$[1, 1, 0, -17175, 909525]$ |
\(y^2+xy=x^3+x^2-17175x+909525\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0-3.a.1.8, 168.16.0.? |
$[(125, 795)]$ |
| 7350.r2 |
7350s1 |
7350.r |
7350s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1.120105518$ |
$1$ |
|
$4$ |
$10368$ |
$0.808967$ |
$2595575/1512$ |
$1.04999$ |
$3.69365$ |
$[1, 1, 0, 1200, 1800]$ |
\(y^2+xy=x^3+x^2+1200x+1800\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0-3.a.1.7, 168.16.0.? |
$[(-1, 25)]$ |
| 7350.s1 |
7350c2 |
7350.s |
7350c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$15.87975438$ |
$1$ |
|
$0$ |
$181440$ |
$2.212166$ |
$266916252066900625/162$ |
$1.11489$ |
$6.61749$ |
$[1, 1, 0, -7032750, -7181467110]$ |
\(y^2+xy=x^3+x^2-7032750x-7181467110\) |
3.4.0.a.1, 8.2.0.b.1, 15.8.0-3.a.1.1, 24.8.0.b.1, 120.16.0.? |
$[(-12553449429/2863, 17970883717452/2863)]$ |
| 7350.s2 |
7350c1 |
7350.s |
7350c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$5.293251461$ |
$1$ |
|
$0$ |
$60480$ |
$1.662859$ |
$505318200625/4251528$ |
$1.07784$ |
$5.13730$ |
$[1, 1, 0, -87000, -9841320]$ |
\(y^2+xy=x^3+x^2-87000x-9841320\) |
3.4.0.a.1, 8.2.0.b.1, 15.8.0-3.a.1.2, 24.8.0.b.1, 120.16.0.? |
$[(-8139/7, 113415/7)]$ |
| 7350.t1 |
7350bg1 |
7350.t |
7350bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$3.452936892$ |
$1$ |
|
$2$ |
$147840$ |
$2.187054$ |
$16468459/165888$ |
$1.13258$ |
$5.55654$ |
$[1, 0, 1, 118799, -63827452]$ |
\(y^2+xy+y=x^3+118799x-63827452\) |
40.2.0.a.1 |
$[(502, 10811)]$ |
| 7350.u1 |
7350v1 |
7350.u |
7350v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 5^{11} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.782265$ |
$-1231272543361/230400000$ |
$1.02666$ |
$5.11763$ |
$[1, 0, 1, -74751, 9042898]$ |
\(y^2+xy+y=x^3-74751x+9042898\) |
40.2.0.a.1 |
$[]$ |
| 7350.v1 |
7350bm1 |
7350.v |
7350bm |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24480$ |
$1.253090$ |
$2157045625/1179648$ |
$1.13043$ |
$4.29762$ |
$[1, 0, 1, -7201, 54548]$ |
\(y^2+xy+y=x^3-7201x+54548\) |
8.2.0.b.1 |
$[]$ |
| 7350.w1 |
7350bc7 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.315 |
2B |
$3360$ |
$768$ |
$13$ |
$12.11086449$ |
$1$ |
|
$0$ |
$2359296$ |
$3.572102$ |
$783736670177727068275201/360150$ |
$1.07467$ |
$8.57634$ |
$[1, 0, 1, -2352980026, 43931247491198]$ |
\(y^2+xy+y=x^3-2352980026x+43931247491198\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.96.0-16.v.2.6, 24.48.0.bl.2, $\ldots$ |
$[(42815302/39, 1637850089/39)]$ |
| 7350.w2 |
7350bc5 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.72 |
2Cs |
$1680$ |
$768$ |
$13$ |
$6.055432246$ |
$1$ |
|
$4$ |
$1179648$ |
$3.225529$ |
$191342053882402567201/129708022500$ |
$1.05504$ |
$7.64201$ |
$[1, 0, 1, -147061276, 686416316198]$ |
\(y^2+xy+y=x^3-147061276x+686416316198\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.1, 16.96.0-8.l.1.3, 24.96.1.ch.1, $\ldots$ |
$[(8812, 269081)]$ |
| 7350.w3 |
7350bc8 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3 \cdot 5^{8} \cdot 7^{22} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.54 |
2B |
$3360$ |
$768$ |
$13$ |
$12.11086449$ |
$1$ |
|
$0$ |
$2359296$ |
$3.572102$ |
$-187778242790732059201/4984939585440150$ |
$1.05547$ |
$7.64494$ |
$[1, 0, 1, -146142526, 695416391198]$ |
\(y^2+xy+y=x^3-146142526x+695416391198\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.v.2, 24.48.0.bp.2, $\ldots$ |
$[(1054002/11, 378518561/11)]$ |
| 7350.w4 |
7350bc3 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.310 |
2B |
$3360$ |
$768$ |
$13$ |
$0.756929030$ |
$1$ |
|
$10$ |
$589824$ |
$2.878956$ |
$378499465220294881/120530818800$ |
$1.03580$ |
$6.94270$ |
$[1, 0, 1, -18460776, -30522871802]$ |
\(y^2+xy+y=x^3-18460776x-30522871802\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.96.0-16.v.1.8, 20.12.0-4.c.1.1, $\ldots$ |
$[(-2467, 3879)]$ |
| 7350.w5 |
7350bc4 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.17 |
2Cs |
$1680$ |
$768$ |
$13$ |
$3.027716123$ |
$1$ |
|
$8$ |
$589824$ |
$2.878956$ |
$47595748626367201/1215506250000$ |
$1.02882$ |
$6.70979$ |
$[1, 0, 1, -9248776, 10583816198]$ |
\(y^2+xy+y=x^3-9248776x+10583816198\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.c.1, 16.96.0-8.c.1.3, 24.96.1.w.2, $\ldots$ |
$[(2566, 59942)]$ |
| 7350.w6 |
7350bc2 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.43 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1.513858061$ |
$1$ |
|
$12$ |
$294912$ |
$2.532383$ |
$135487869158881/51438240000$ |
$1.01910$ |
$6.05136$ |
$[1, 0, 1, -1310776, -338871802]$ |
\(y^2+xy+y=x^3-1310776x-338871802\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 16.96.0-8.l.2.2, 20.24.0-4.b.1.2, $\ldots$ |
$[(-743, 15371)]$ |
| 7350.w7 |
7350bc1 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.35 |
2B |
$3360$ |
$768$ |
$13$ |
$3.027716123$ |
$1$ |
|
$5$ |
$147456$ |
$2.185810$ |
$1023887723039/928972800$ |
$0.99981$ |
$5.50261$ |
$[1, 0, 1, 257224, -37815802]$ |
\(y^2+xy+y=x^3+257224x-37815802\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.v.1, $\ldots$ |
$[(393, 10939)]$ |
| 7350.w8 |
7350bc6 |
7350.w |
7350bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{22} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.23 |
2B |
$3360$ |
$768$ |
$13$ |
$6.055432246$ |
$1$ |
|
$2$ |
$1179648$ |
$3.225529$ |
$226523624554079/269165039062500$ |
$1.10831$ |
$6.96579$ |
$[1, 0, 1, 1555724, 33835100198]$ |
\(y^2+xy+y=x^3+1555724x+33835100198\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0.j.1, 24.48.0.be.1, $\ldots$ |
$[(466, 185942)]$ |
| 7350.x1 |
7350bb1 |
7350.x |
7350bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{10} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$3.799839323$ |
$1$ |
|
$2$ |
$665280$ |
$2.943111$ |
$-5591213575/40310784$ |
$1.07464$ |
$6.58825$ |
$[1, 0, 1, -2710951, -6302911702]$ |
\(y^2+xy+y=x^3-2710951x-6302911702\) |
168.2.0.? |
$[(3238, 135752)]$ |
| 7350.y1 |
7350ba1 |
7350.y |
7350ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.764319742$ |
$1$ |
|
$2$ |
$10080$ |
$0.903756$ |
$-30625/48$ |
$1.04235$ |
$3.85491$ |
$[1, 0, 1, -1251, -32882]$ |
\(y^2+xy+y=x^3-1251x-32882\) |
6.2.0.a.1 |
$[(211, 2912)]$ |
