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 |
2520.a1 |
2520f3 |
2520.a |
2520f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4096$ |
$1.184643$ |
$32779037733124/315$ |
$0.98701$ |
$5.70019$ |
$[0, 0, 0, -60483, -5725298]$ |
\(y^2=x^3-60483x-5725298\) |
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.1.3, $\ldots$ |
$[]$ |
2520.a2 |
2520f5 |
2520.a |
2520f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.531216$ |
$14695548366242/57421875$ |
$0.98648$ |
$5.68626$ |
$[0, 0, 0, -58323, 5403022]$ |
\(y^2=x^3-58323x+5403022\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 12.12.0-4.c.1.1, 24.48.0-24.bj.1.6, $\ldots$ |
$[]$ |
2520.a3 |
2520f4 |
2520.a |
2520f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$1.184643$ |
$23366901604/13505625$ |
$1.08406$ |
$4.77498$ |
$[0, 0, 0, -5403, -5402]$ |
\(y^2=x^3-5403x-5402\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 12.24.0-4.b.1.1, 24.48.0-24.e.1.3, $\ldots$ |
$[]$ |
2520.a4 |
2520f2 |
2520.a |
2520f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.838069$ |
$32082281296/99225$ |
$0.92349$ |
$4.63845$ |
$[0, 0, 0, -3783, -89318]$ |
\(y^2=x^3-3783x-89318\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 12.24.0-4.b.1.3, 24.48.0-24.l.1.7, $\ldots$ |
$[]$ |
2520.a5 |
2520f1 |
2520.a |
2520f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{14} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.491495$ |
$-24918016/229635$ |
$0.96130$ |
$3.73137$ |
$[0, 0, 0, -138, -2567]$ |
\(y^2=x^3-138x-2567\) |
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.1.3, $\ldots$ |
$[]$ |
2520.a6 |
2520f6 |
2520.a |
2520f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.531216$ |
$746185003198/432360075$ |
$1.10067$ |
$5.30573$ |
$[0, 0, 0, 21597, -43202]$ |
\(y^2=x^3+21597x-43202\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 12.12.0-4.c.1.1, 24.48.0-24.bn.1.8, $\ldots$ |
$[]$ |
2520.b1 |
2520l1 |
2520.b |
2520l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.393448$ |
$78732/35$ |
$0.83312$ |
$3.58692$ |
$[0, 0, 0, -243, 702]$ |
\(y^2=x^3-243x+702\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[]$ |
2520.b2 |
2520l2 |
2520.b |
2520l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.740022$ |
$1608714/1225$ |
$0.86288$ |
$4.06065$ |
$[0, 0, 0, 837, 5238]$ |
\(y^2=x^3+837x+5238\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
2520.c1 |
2520a2 |
2520.c |
2520a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.355813671$ |
$1$ |
|
$5$ |
$1536$ |
$0.681918$ |
$10536048/4375$ |
$0.83940$ |
$4.03511$ |
$[0, 0, 0, -783, 4482]$ |
\(y^2=x^3-783x+4482\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(31, 100)]$ |
2520.c2 |
2520a1 |
2520.c |
2520a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.677906835$ |
$1$ |
|
$7$ |
$768$ |
$0.335345$ |
$1492992/1225$ |
$0.85758$ |
$3.43161$ |
$[0, 0, 0, 162, 513]$ |
\(y^2=x^3+162x+513\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(4, 35)]$ |
2520.d1 |
2520o3 |
2520.d |
2520o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.018412071$ |
$1$ |
|
$7$ |
$2048$ |
$0.955305$ |
$1214399773444/105$ |
$0.96565$ |
$5.27941$ |
$[0, 0, 0, -20163, 1101998]$ |
\(y^2=x^3-20163x+1101998\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$ |
$[(83, 16)]$ |
2520.d2 |
2520o2 |
2520.d |
2520o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$0.509206035$ |
$1$ |
|
$17$ |
$1024$ |
$0.608732$ |
$1193895376/11025$ |
$0.88664$ |
$4.21824$ |
$[0, 0, 0, -1263, 17138]$ |
\(y^2=x^3-1263x+17138\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 60.24.0-20.a.1.2, $\ldots$ |
$[(1, 126)]$ |
2520.d3 |
2520o4 |
2520.d |
2520o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.018412071$ |
$1$ |
|
$7$ |
$2048$ |
$0.955305$ |
$-7086244/972405$ |
$1.12362$ |
$4.43942$ |
$[0, 0, 0, -363, 41078]$ |
\(y^2=x^3-363x+41078\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(11, 196)]$ |
2520.d4 |
2520o1 |
2520.d |
2520o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.018412071$ |
$1$ |
|
$7$ |
$512$ |
$0.262158$ |
$24918016/13125$ |
$0.93864$ |
$3.37019$ |
$[0, 0, 0, -138, -187]$ |
\(y^2=x^3-138x-187\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0.ba.1, $\ldots$ |
$[(-2, 9)]$ |
2520.e1 |
2520k2 |
2520.e |
2520k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$2.287273$ |
$308971819397054448/6565234375$ |
$1.04434$ |
$7.11244$ |
$[0, 0, 0, -2414583, 1444120218]$ |
\(y^2=x^3-2414583x+1444120218\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
2520.e2 |
2520k1 |
2520.e |
2520k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.940699$ |
$-1084767227025408/176547030625$ |
$1.06027$ |
$6.06843$ |
$[0, 0, 0, -145638, 24214437]$ |
\(y^2=x^3-145638x+24214437\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
2520.f1 |
2520e5 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.482222$ |
$62161150998242/1607445$ |
$0.99458$ |
$5.87040$ |
$[0, 0, 0, -94323, 11149742]$ |
\(y^2=x^3-94323x+11149742\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.2, $\ldots$ |
$[]$ |
2520.f2 |
2520e3 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$1.135647$ |
$34008619684/4862025$ |
$0.94251$ |
$4.82290$ |
$[0, 0, 0, -6123, 160022]$ |
\(y^2=x^3-6123x+160022\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.1, 24.48.0-24.i.2.10, $\ldots$ |
$[]$ |
2520.f3 |
2520e2 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.789074$ |
$2533446736/275625$ |
$0.90007$ |
$4.31430$ |
$[0, 0, 0, -1623, -22678]$ |
\(y^2=x^3-1623x-22678\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.3, 24.48.0-24.i.1.4, $\ldots$ |
$[]$ |
2520.f4 |
2520e1 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.442501$ |
$37256083456/525$ |
$0.96058$ |
$4.30353$ |
$[0, 0, 0, -1578, -24127]$ |
\(y^2=x^3-1578x-24127\) |
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, $\ldots$ |
$[]$ |
2520.f5 |
2520e4 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$1.135647$ |
$1486779836/8203125$ |
$0.96171$ |
$4.69701$ |
$[0, 0, 0, 2157, -112642]$ |
\(y^2=x^3+2157x-112642\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.2, 24.48.0-24.bz.2.7, $\ldots$ |
$[]$ |
2520.f6 |
2520e6 |
2520.f |
2520e |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8192$ |
$1.482222$ |
$75798394558/259416045$ |
$0.98842$ |
$5.21701$ |
$[0, 0, 0, 10077, 863102]$ |
\(y^2=x^3+10077x+863102\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 24.48.0-24.bz.1.15, $\ldots$ |
$[]$ |
2520.g1 |
2520g5 |
2520.g |
2520g |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{8} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$5.796048310$ |
$1$ |
|
$1$ |
$16384$ |
$1.767056$ |
$784478485879202/221484375$ |
$1.00760$ |
$6.19411$ |
$[0, 0, 0, -219603, 39600398]$ |
\(y^2=x^3-219603x+39600398\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.1, $\ldots$ |
$[(1537/2, 27657/2)]$ |
2520.g2 |
2520g3 |
2520.g |
2520g |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.898024155$ |
$1$ |
|
$7$ |
$8192$ |
$1.420483$ |
$549871953124/200930625$ |
$0.97812$ |
$5.17825$ |
$[0, 0, 0, -15483, 450182]$ |
\(y^2=x^3-15483x+450182\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.1, 24.48.0-8.e.2.1, $\ldots$ |
$[(-41, 1008)]$ |
2520.g3 |
2520g2 |
2520.g |
2520g |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.449012077$ |
$1$ |
|
$11$ |
$4096$ |
$1.073908$ |
$175293437776/4862025$ |
$0.94022$ |
$4.85527$ |
$[0, 0, 0, -6663, -204262]$ |
\(y^2=x^3-6663x-204262\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.3, 20.24.0.c.1, $\ldots$ |
$[(-46, 70)]$ |
2520.g4 |
2520g1 |
2520.g |
2520g |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$2.898024155$ |
$1$ |
|
$3$ |
$2048$ |
$0.727335$ |
$2748251600896/2205$ |
$0.99547$ |
$4.85268$ |
$[0, 0, 0, -6618, -207223]$ |
\(y^2=x^3-6618x-207223\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[(97, 252)]$ |
2520.g5 |
2520g4 |
2520.g |
2520g |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$0.724506038$ |
$1$ |
|
$7$ |
$8192$ |
$1.420483$ |
$439608956/259416045$ |
$1.04962$ |
$5.15204$ |
$[0, 0, 0, 1437, -669202]$ |
\(y^2=x^3+1437x-669202\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 20.12.0.h.1, $\ldots$ |
$[(103, 756)]$ |
2520.g6 |
2520g6 |
2520.g |
2520g |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{22} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$5.796048310$ |
$1$ |
|
$3$ |
$16384$ |
$1.767056$ |
$7947184069438/7533176175$ |
$1.00704$ |
$5.60777$ |
$[0, 0, 0, 47517, 3184382]$ |
\(y^2=x^3+47517x+3184382\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$ |
$[(134, 3458)]$ |
2520.h1 |
2520m1 |
2520.h |
2520m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.275344230$ |
$1$ |
|
$9$ |
$768$ |
$0.310380$ |
$8232302592/214375$ |
$1.12346$ |
$3.68995$ |
$[0, 0, 0, -318, 2133]$ |
\(y^2=x^3-318x+2133\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(6, 21)]$ |
2520.h2 |
2520m2 |
2520.h |
2520m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.137672115$ |
$1$ |
|
$15$ |
$1536$ |
$0.656954$ |
$2963088/2941225$ |
$1.23942$ |
$3.98231$ |
$[0, 0, 0, 57, 6858]$ |
\(y^2=x^3+57x+6858\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-11, 70)]$ |
2520.i1 |
2520p1 |
2520.i |
2520p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{5} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.940776$ |
$-30211716096/1071875$ |
$1.00205$ |
$4.63838$ |
$[0, 0, 0, -3708, -89532]$ |
\(y^2=x^3-3708x-89532\) |
70.2.0.a.1 |
$[]$ |
2520.j1 |
2520r3 |
2520.j |
2520r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{18} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6144$ |
$1.329206$ |
$282678688658/18600435$ |
$0.96223$ |
$5.18179$ |
$[0, 0, 0, -15627, -707866]$ |
\(y^2=x^3-15627x-707866\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 280.24.0.?, $\ldots$ |
$[]$ |
2520.j2 |
2520r2 |
2520.j |
2520r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.982633$ |
$4108974916/893025$ |
$0.92620$ |
$4.55305$ |
$[0, 0, 0, -3027, 50654]$ |
\(y^2=x^3-3027x+50654\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 280.24.0.?, 420.24.0.?, $\ldots$ |
$[]$ |
2520.j3 |
2520r1 |
2520.j |
2520r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{9} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.636059$ |
$13674725584/945$ |
$0.91464$ |
$4.52957$ |
$[0, 0, 0, -2847, 58466]$ |
\(y^2=x^3-2847x+58466\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 210.6.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
2520.j4 |
2520r4 |
2520.j |
2520r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.329206$ |
$22208984782/40516875$ |
$0.97092$ |
$4.95488$ |
$[0, 0, 0, 6693, 309206]$ |
\(y^2=x^3+6693x+309206\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 280.24.0.?, 840.48.0.? |
$[]$ |
2520.k1 |
2520b2 |
2520.k |
2520b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.737965$ |
$308971819397054448/6565234375$ |
$1.04434$ |
$6.27081$ |
$[0, 0, 0, -268287, -53485934]$ |
\(y^2=x^3-268287x-53485934\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[]$ |
2520.k2 |
2520b1 |
2520.k |
2520b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.391392$ |
$-1084767227025408/176547030625$ |
$1.06027$ |
$5.22680$ |
$[0, 0, 0, -16182, -896831]$ |
\(y^2=x^3-16182x-896831\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
2520.l1 |
2520q3 |
2520.l |
2520q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{26} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$61440$ |
$2.485542$ |
$898353183174324196/29899176238575$ |
$1.03474$ |
$7.00490$ |
$[0, 0, 0, -1823547, -920156186]$ |
\(y^2=x^3-1823547x-920156186\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$ |
$[]$ |
2520.l2 |
2520q2 |
2520.l |
2520q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{16} \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$84$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$2.138969$ |
$13015144447800784/4341909875625$ |
$1.02400$ |
$6.28724$ |
$[0, 0, 0, -280047, 37122514]$ |
\(y^2=x^3-280047x+37122514\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 28.24.0-28.a.1.3, 84.48.0.? |
$[]$ |
2520.l3 |
2520q1 |
2520.l |
2520q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$1.792395$ |
$151591373397612544/32558203125$ |
$1.13122$ |
$6.24670$ |
$[0, 0, 0, -251922, 48659389]$ |
\(y^2=x^3-251922x+48659389\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 42.6.0.a.1, 56.24.0-56.ba.1.13, $\ldots$ |
$[]$ |
2520.l4 |
2520q4 |
2520.l |
2520q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{2} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$61440$ |
$2.485542$ |
$79743193254623804/84085819746075$ |
$1.04397$ |
$6.69569$ |
$[0, 0, 0, 813453, 256041214]$ |
\(y^2=x^3+813453x+256041214\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 56.24.0-56.ba.1.5, $\ldots$ |
$[]$ |
2520.m1 |
2520n2 |
2520.m |
2520n |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.255974057$ |
$1$ |
|
$11$ |
$512$ |
$0.132612$ |
$10536048/4375$ |
$0.83940$ |
$3.19347$ |
$[0, 0, 0, -87, -166]$ |
\(y^2=x^3-87x-166\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(-7, 10)]$ |
2520.m2 |
2520n1 |
2520.m |
2520n |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.511948115$ |
$1$ |
|
$7$ |
$256$ |
$-0.213961$ |
$1492992/1225$ |
$0.85758$ |
$2.58997$ |
$[0, 0, 0, 18, -19]$ |
\(y^2=x^3+18x-19\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(2, 5)]$ |
2520.n1 |
2520h3 |
2520.n |
2520h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$4.430370588$ |
$1$ |
|
$3$ |
$6144$ |
$1.207590$ |
$2624033547076/324135$ |
$0.97102$ |
$5.37778$ |
$[0, 0, 0, -26067, -1619714]$ |
\(y^2=x^3-26067x-1619714\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 168.24.0.?, 280.24.0.?, $\ldots$ |
$[(1670, 67914)]$ |
2520.n2 |
2520h2 |
2520.n |
2520h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$2.215185294$ |
$1$ |
|
$9$ |
$3072$ |
$0.861016$ |
$3269383504/893025$ |
$0.91234$ |
$4.34687$ |
$[0, 0, 0, -1767, -20774]$ |
\(y^2=x^3-1767x-20774\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 84.24.0.?, 140.24.0.?, $\ldots$ |
$[(-33, 40)]$ |
2520.n3 |
2520h1 |
2520.n |
2520h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1.107592647$ |
$1$ |
|
$11$ |
$1536$ |
$0.514442$ |
$2508888064/118125$ |
$0.93401$ |
$3.95905$ |
$[0, 0, 0, -642, 6001]$ |
\(y^2=x^3-642x+6001\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 42.6.0.a.1, 84.24.0.?, 120.24.0.?, $\ldots$ |
$[(5, 54)]$ |
2520.n4 |
2520h4 |
2520.n |
2520h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{18} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$4.430370588$ |
$1$ |
|
$3$ |
$6144$ |
$1.207590$ |
$13799183324/18600435$ |
$0.95866$ |
$4.74407$ |
$[0, 0, 0, 4533, -135434]$ |
\(y^2=x^3+4533x-135434\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(30, 166)]$ |
2520.o1 |
2520c1 |
2520.o |
2520c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.155858$ |
$78732/35$ |
$0.83312$ |
$2.74529$ |
$[0, 0, 0, -27, -26]$ |
\(y^2=x^3-27x-26\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[]$ |
2520.o2 |
2520c2 |
2520.o |
2520c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.190715$ |
$1608714/1225$ |
$0.86288$ |
$3.21902$ |
$[0, 0, 0, 93, -194]$ |
\(y^2=x^3+93x-194\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
2520.p1 |
2520s1 |
2520.p |
2520s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$-0.012025$ |
$-1024/35$ |
$0.78213$ |
$2.95757$ |
$[0, 0, 0, -12, -124]$ |
\(y^2=x^3-12x-124\) |
70.2.0.a.1 |
$[]$ |