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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
7440.a1 |
7440k3 |
7440.a |
7440k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{3} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3720$ |
$48$ |
$0$ |
$1.212935436$ |
$1$ |
|
$7$ |
$27648$ |
$1.423731$ |
$383432500775449/18701300250$ |
$[0, -1, 0, -24216, 1396080]$ |
\(y^2=x^3-x^2-24216x+1396080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ |
7440.a2 |
7440k2 |
7440.a |
7440k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$2.425870873$ |
$1$ |
|
$9$ |
$13824$ |
$1.077158$ |
$2023804595449/540562500$ |
$[0, -1, 0, -4216, -75920]$ |
\(y^2=x^3-x^2-4216x-75920\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 372.12.0.?, $\ldots$ |
7440.a3 |
7440k1 |
7440.a |
7440k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3 \cdot 5^{3} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3720$ |
$48$ |
$0$ |
$4.851741746$ |
$1$ |
|
$3$ |
$6912$ |
$0.730583$ |
$1597099875769/186000$ |
$[0, -1, 0, -3896, -92304]$ |
\(y^2=x^3-x^2-3896x-92304\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
7440.a4 |
7440k4 |
7440.a |
7440k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{13} \cdot 3 \cdot 5^{12} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3720$ |
$48$ |
$0$ |
$4.851741746$ |
$1$ |
|
$3$ |
$27648$ |
$1.423731$ |
$32740359775271/45410156250$ |
$[0, -1, 0, 10664, -504464]$ |
\(y^2=x^3-x^2+10664x-504464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 372.12.0.?, $\ldots$ |
7440.b1 |
7440i4 |
7440.b |
7440i |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$2.498466$ |
$28379906689597370652529/1357352437500$ |
$[0, -1, 0, -10167536, 12482156736]$ |
\(y^2=x^3-x^2-10167536x+12482156736\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.t.1.13, $\ldots$ |
7440.b2 |
7440i3 |
7440.b |
7440i |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{3} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$103680$ |
$2.151894$ |
$-6894246873502147249/47925198774000$ |
$[0, -1, 0, -634416, 195871680]$ |
\(y^2=x^3-x^2-634416x+195871680\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$ |
7440.b3 |
7440i2 |
7440.b |
7440i |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.949160$ |
$68663623745397169/19216056254400$ |
$[0, -1, 0, -136496, 13993920]$ |
\(y^2=x^3-x^2-136496x+13993920\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.t.1.14, $\ldots$ |
7440.b4 |
7440i1 |
7440.b |
7440i |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$1.602587$ |
$296354077829711/387386634240$ |
$[0, -1, 0, 22224, 1423296]$ |
\(y^2=x^3-x^2+22224x+1423296\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
7440.c1 |
7440j1 |
7440.c |
7440j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{35} \cdot 3^{11} \cdot 5^{3} \cdot 31^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$6.922270980$ |
$1$ |
|
$0$ |
$2185920$ |
$3.628014$ |
$-124427822010671478697670089/5317924709672681472000$ |
$[0, -1, 0, -166411976, -856188267024]$ |
\(y^2=x^3-x^2-166411976x-856188267024\) |
3720.2.0.? |
7440.d1 |
7440a3 |
7440.d |
7440a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{5} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$8.026986439$ |
$1$ |
|
$3$ |
$20480$ |
$1.577297$ |
$1793071414868660498/4708125$ |
$[0, -1, 0, -321416, -70030320]$ |
\(y^2=x^3-x^2-321416x-70030320\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
7440.d2 |
7440a4 |
7440.d |
7440a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{20} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$8.026986439$ |
$1$ |
|
$1$ |
$20480$ |
$1.577297$ |
$981927331418738/540451582155$ |
$[0, -1, 0, -26296, -354224]$ |
\(y^2=x^3-x^2-26296x-354224\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
7440.d3 |
7440a2 |
7440.d |
7440a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$4.013493219$ |
$1$ |
|
$7$ |
$10240$ |
$1.230722$ |
$876545031670276/1418652225$ |
$[0, -1, 0, -20096, -1088304]$ |
\(y^2=x^3-x^2-20096x-1088304\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.2, 248.12.0.?, $\ldots$ |
7440.d4 |
7440a1 |
7440.d |
7440a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5 \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$8.026986439$ |
$1$ |
|
$1$ |
$5120$ |
$0.884150$ |
$-290731267024/1122078015$ |
$[0, -1, 0, -876, -27360]$ |
\(y^2=x^3-x^2-876x-27360\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$ |
7440.e1 |
7440b2 |
7440.e |
7440b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1.763068456$ |
$1$ |
|
$5$ |
$3072$ |
$0.560486$ |
$16662038116/4359375$ |
$[0, -1, 0, -536, -3360]$ |
\(y^2=x^3-x^2-536x-3360\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
7440.e2 |
7440b1 |
7440.e |
7440b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{8} \cdot 3 \cdot 5^{3} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$3.526136912$ |
$1$ |
|
$3$ |
$1536$ |
$0.213912$ |
$253012016/360375$ |
$[0, -1, 0, 84, -384]$ |
\(y^2=x^3-x^2+84x-384\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
7440.f1 |
7440c2 |
7440.f |
7440c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{3} \cdot 31^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$0.311721145$ |
$1$ |
|
$31$ |
$13824$ |
$0.885164$ |
$7770885300722/9730125$ |
$[0, -1, 0, -5240, 147600]$ |
\(y^2=x^3-x^2-5240x+147600\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
7440.f2 |
7440c1 |
7440.f |
7440c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$0.311721145$ |
$1$ |
|
$35$ |
$6912$ |
$0.538590$ |
$-1499221444/4359375$ |
$[0, -1, 0, -240, 3600]$ |
\(y^2=x^3-x^2-240x+3600\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
7440.g1 |
7440n2 |
7440.g |
7440n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{25} \cdot 3^{4} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$14.65163944$ |
$1$ |
|
$1$ |
$99840$ |
$2.174870$ |
$1152829477932246539641/3188367360$ |
$[0, -1, 0, -3495160, -2513897360]$ |
\(y^2=x^3-x^2-3495160x-2513897360\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
7440.g2 |
7440n1 |
7440.g |
7440n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{38} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$7.325819721$ |
$1$ |
|
$1$ |
$49920$ |
$1.828297$ |
$-281115640967896441/468084326400$ |
$[0, -1, 0, -218360, -39258000]$ |
\(y^2=x^3-x^2-218360x-39258000\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
7440.h1 |
7440q2 |
7440.h |
7440q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.166249$ |
$2533446736/62775$ |
$[0, -1, 0, -180, 972]$ |
\(y^2=x^3-x^2-180x+972\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
7440.h2 |
7440q1 |
7440.h |
7440q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$-0.180325$ |
$112377856/43245$ |
$[0, -1, 0, -25, -20]$ |
\(y^2=x^3-x^2-25x-20\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
7440.i1 |
7440d3 |
7440.i |
7440d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1240$ |
$48$ |
$0$ |
$3.582634056$ |
$1$ |
|
$3$ |
$6144$ |
$0.845612$ |
$15811147933922/1016955$ |
$[0, -1, 0, -6640, -206048]$ |
\(y^2=x^3-x^2-6640x-206048\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 124.12.0.?, $\ldots$ |
7440.i2 |
7440d4 |
7440.i |
7440d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 31^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1240$ |
$48$ |
$0$ |
$3.582634056$ |
$1$ |
|
$5$ |
$6144$ |
$0.845612$ |
$607199886722/41558445$ |
$[0, -1, 0, -2240, 39072]$ |
\(y^2=x^3-x^2-2240x+39072\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 248.24.0.?, 1240.48.0.? |
7440.i3 |
7440d2 |
7440.i |
7440d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1240$ |
$48$ |
$0$ |
$1.791317028$ |
$1$ |
|
$9$ |
$3072$ |
$0.499038$ |
$9220796644/1946025$ |
$[0, -1, 0, -440, -2688]$ |
\(y^2=x^3-x^2-440x-2688\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 124.24.0.?, 1240.48.0.? |
7440.i4 |
7440d1 |
7440.i |
7440d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1240$ |
$48$ |
$0$ |
$0.895658514$ |
$1$ |
|
$7$ |
$1536$ |
$0.152464$ |
$91765424/174375$ |
$[0, -1, 0, 60, -288]$ |
\(y^2=x^3-x^2+60x-288\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 62.6.0.b.1, 124.24.0.?, $\ldots$ |
7440.j1 |
7440o5 |
7440.j |
7440o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{14} \cdot 3 \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.32 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$3$ |
$98304$ |
$2.074974$ |
$3216206300355197383681/57660$ |
$[0, -1, 0, -4920320, 4202499840]$ |
\(y^2=x^3-x^2-4920320x+4202499840\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.e.2.7, 60.24.0-60.h.1.3, $\ldots$ |
7440.j2 |
7440o4 |
7440.j |
7440o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.25 |
2Cs |
$3720$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$7$ |
$49152$ |
$1.728399$ |
$785209010066844481/3324675600$ |
$[0, -1, 0, -307520, 65740800]$ |
\(y^2=x^3-x^2-307520x+65740800\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 60.48.0-60.c.1.7, 120.96.0.?, $\ldots$ |
7440.j3 |
7440o6 |
7440.j |
7440o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{14} \cdot 3 \cdot 5 \cdot 31^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.161 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$98304$ |
$2.074974$ |
$-749011598724977281/51173462246460$ |
$[0, -1, 0, -302720, 67887360]$ |
\(y^2=x^3-x^2-302720x+67887360\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 30.6.0.a.1, 60.24.0-60.g.1.3, $\ldots$ |
7440.j4 |
7440o3 |
7440.j |
7440o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.176 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.728399$ |
$5601911201812801/1271193750000$ |
$[0, -1, 0, -59200, -4302848]$ |
\(y^2=x^3-x^2-59200x-4302848\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 124.24.0.?, 240.96.0.?, $\ldots$ |
7440.j5 |
7440o2 |
7440.j |
7440o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.32 |
2Cs |
$3720$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.381826$ |
$200828550012481/12454560000$ |
$[0, -1, 0, -19520, 998400]$ |
\(y^2=x^3-x^2-19520x+998400\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 120.96.0.?, 124.48.0.?, $\ldots$ |
7440.j6 |
7440o1 |
7440.j |
7440o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{28} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.43 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.035252$ |
$23862997439/457113600$ |
$[0, -1, 0, 960, 64512]$ |
\(y^2=x^3-x^2+960x+64512\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.1.6, 62.6.0.b.1, $\ldots$ |
7440.k1 |
7440l2 |
7440.k |
7440l |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3 \cdot 5 \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$0.841905577$ |
$1$ |
|
$4$ |
$8640$ |
$0.942752$ |
$-15777367606441/3574920$ |
$[0, -1, 0, -8360, 297072]$ |
\(y^2=x^3-x^2-8360x+297072\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 3720.16.0.? |
7440.k2 |
7440l1 |
7440.k |
7440l |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{3} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$0.280635192$ |
$1$ |
|
$6$ |
$2880$ |
$0.393446$ |
$1685159/209250$ |
$[0, -1, 0, 40, 1392]$ |
\(y^2=x^3-x^2+40x+1392\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 3720.16.0.? |
7440.l1 |
7440m2 |
7440.l |
7440m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$3.494374876$ |
$1$ |
|
$3$ |
$3072$ |
$0.445045$ |
$11702923216/5084775$ |
$[0, -1, 0, -300, -900]$ |
\(y^2=x^3-x^2-300x-900\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
7440.l2 |
7440m1 |
7440.l |
7440m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{4} \cdot 3^{4} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1.747187438$ |
$1$ |
|
$3$ |
$1536$ |
$0.098471$ |
$21217755136/389205$ |
$[0, -1, 0, -145, 712]$ |
\(y^2=x^3-x^2-145x+712\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
7440.m1 |
7440p2 |
7440.m |
7440p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.623056$ |
$901456690969801/457629750000$ |
$[0, -1, 0, -32200, 790000]$ |
\(y^2=x^3-x^2-32200x+790000\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
7440.m2 |
7440p1 |
7440.m |
7440p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{20} \cdot 3^{5} \cdot 5^{3} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.276484$ |
$11298232190519/7472736000$ |
$[0, -1, 0, 7480, 91632]$ |
\(y^2=x^3-x^2+7480x+91632\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
7440.n1 |
7440e1 |
7440.n |
7440e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{11} \cdot 3^{5} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.252990200$ |
$1$ |
|
$6$ |
$73920$ |
$1.983521$ |
$-237947203935023980322/588515625$ |
$[0, -1, 0, -1639440, 808509600]$ |
\(y^2=x^3-x^2-1639440x+808509600\) |
3720.2.0.? |
7440.o1 |
7440r3 |
7440.o |
7440r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.752932$ |
$543538277281/1569375$ |
$[0, -1, 0, -2720, -53568]$ |
\(y^2=x^3-x^2-2720x-53568\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 124.24.0.?, 3720.48.0.? |
7440.o2 |
7440r2 |
7440.o |
7440r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1860$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.406358$ |
$374805361/216225$ |
$[0, -1, 0, -240, 0]$ |
\(y^2=x^3-x^2-240x\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 124.24.0.?, 1860.48.0.? |
7440.o3 |
7440r1 |
7440.o |
7440r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.059784$ |
$111284641/465$ |
$[0, -1, 0, -160, 832]$ |
\(y^2=x^3-x^2-160x+832\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
7440.o4 |
7440r4 |
7440.o |
7440r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 31^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$8192$ |
$0.752932$ |
$23862997439/13852815$ |
$[0, -1, 0, 960, -960]$ |
\(y^2=x^3-x^2+960x-960\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 248.24.0.?, $\ldots$ |
7440.p1 |
7440w1 |
7440.p |
7440w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{13} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$112320$ |
$2.010345$ |
$-1354547383894636849/8173828125000$ |
$[0, 1, 0, -368816, -86782380]$ |
\(y^2=x^3+x^2-368816x-86782380\) |
3720.2.0.? |
7440.q1 |
7440u3 |
7440.q |
7440u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.504875$ |
$32208729120020809/658986840$ |
$[0, 1, 0, -106056, -13329036]$ |
\(y^2=x^3+x^2-106056x-13329036\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.bb.1.8, 620.12.0.?, $\ldots$ |
7440.q2 |
7440u2 |
7440.q |
7440u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$13824$ |
$1.158300$ |
$8702409880009/1120910400$ |
$[0, 1, 0, -6856, -194956]$ |
\(y^2=x^3+x^2-6856x-194956\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.2, 620.12.0.?, $\ldots$ |
7440.q3 |
7440u1 |
7440.q |
7440u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{24} \cdot 3^{3} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.811728$ |
$141339344329/17141760$ |
$[0, 1, 0, -1736, 24180]$ |
\(y^2=x^3+x^2-1736x+24180\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.bb.1.10, $\ldots$ |
7440.q4 |
7440u4 |
7440.q |
7440u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.504875$ |
$30579142915511/124675335000$ |
$[0, 1, 0, 10424, -1003660]$ |
\(y^2=x^3+x^2+10424x-1003660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$ |
7440.r1 |
7440s2 |
7440.r |
7440s |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$0.428956880$ |
$1$ |
|
$9$ |
$9216$ |
$0.996072$ |
$461710681489/252204840$ |
$[0, 1, 0, -2576, -12780]$ |
\(y^2=x^3+x^2-2576x-12780\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
7440.r2 |
7440s1 |
7440.r |
7440s |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$0.857913760$ |
$1$ |
|
$9$ |
$4608$ |
$0.649499$ |
$6549699311/4017600$ |
$[0, 1, 0, 624, -1260]$ |
\(y^2=x^3+x^2+624x-1260\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
7440.s1 |
7440f1 |
7440.s |
7440f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.113622193$ |
$1$ |
|
$10$ |
$3136$ |
$0.406559$ |
$-909513218/338985$ |
$[0, 1, 0, -256, 1940]$ |
\(y^2=x^3+x^2-256x+1940\) |
3720.2.0.? |