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 |
MW-generators |
840.a1 |
840a3 |
840.a |
840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{12} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$3.464722304$ |
$1$ |
|
$3$ |
$768$ |
$0.779901$ |
$282678688658/18600435$ |
$[0, -1, 0, -1736, 26796]$ |
\(y^2=x^3-x^2-1736x+26796\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 140.12.0.?, $\ldots$ |
$[(33, 66)]$ |
840.a2 |
840a2 |
840.a |
840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.732361152$ |
$1$ |
|
$9$ |
$384$ |
$0.433327$ |
$4108974916/893025$ |
$[0, -1, 0, -336, -1764]$ |
\(y^2=x^3-x^2-336x-1764\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 140.12.0.?, $\ldots$ |
$[(-7, 14)]$ |
840.a3 |
840a1 |
840.a |
840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$3.464722304$ |
$1$ |
|
$3$ |
$192$ |
$0.086753$ |
$13674725584/945$ |
$[0, -1, 0, -316, -2060]$ |
\(y^2=x^3-x^2-316x-2060\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[(54, 368)]$ |
840.a4 |
840a4 |
840.a |
840a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$3.464722304$ |
$1$ |
|
$3$ |
$768$ |
$0.779901$ |
$22208984782/40516875$ |
$[0, -1, 0, 744, -11700]$ |
\(y^2=x^3-x^2+744x-11700\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[(209, 3038)]$ |
840.b1 |
840e4 |
840.b |
840e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.890527388$ |
$1$ |
|
$5$ |
$256$ |
$0.275712$ |
$10262905636/13125$ |
$[0, -1, 0, -456, 3900]$ |
\(y^2=x^3-x^2-456x+3900\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(14, 8)]$ |
840.b2 |
840e3 |
840.b |
840e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.890527388$ |
$1$ |
|
$7$ |
$256$ |
$0.275712$ |
$4108974916/36015$ |
$[0, -1, 0, -336, -2244]$ |
\(y^2=x^3-x^2-336x-2244\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(-10, 4)]$ |
840.b3 |
840e2 |
840.b |
840e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$0.445263694$ |
$1$ |
|
$17$ |
$128$ |
$-0.070861$ |
$20720464/11025$ |
$[0, -1, 0, -36, 36]$ |
\(y^2=x^3-x^2-36x+36\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 60.24.0-60.a.1.4, $\ldots$ |
$[(0, 6)]$ |
840.b4 |
840e1 |
840.b |
840e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.890527388$ |
$1$ |
|
$5$ |
$64$ |
$-0.417435$ |
$4499456/2835$ |
$[0, -1, 0, 9, 0]$ |
\(y^2=x^3-x^2+9x\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, $\ldots$ |
$[(1, 3)]$ |
840.c1 |
840b3 |
840.c |
840b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.612473$ |
$5633270409316/14175$ |
$[0, -1, 0, -3736, -86660]$ |
\(y^2=x^3-x^2-3736x-86660\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 28.24.0-28.h.1.1, 168.48.0.? |
$[]$ |
840.c2 |
840b4 |
840.c |
840b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.612473$ |
$30534944836/8203125$ |
$[0, -1, 0, -656, 4956]$ |
\(y^2=x^3-x^2-656x+4956\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[]$ |
840.c3 |
840b2 |
840.c |
840b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$84$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.265900$ |
$5702413264/275625$ |
$[0, -1, 0, -236, -1260]$ |
\(y^2=x^3-x^2-236x-1260\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 28.24.0-28.a.1.2, 84.48.0.? |
$[]$ |
840.c4 |
840b1 |
840.c |
840b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$-0.080674$ |
$4499456/180075$ |
$[0, -1, 0, 9, -84]$ |
\(y^2=x^3-x^2+9x-84\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 56.24.0-56.ba.1.4, $\ldots$ |
$[]$ |
840.d1 |
840f5 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$1680$ |
$192$ |
$1$ |
$4.393195927$ |
$1$ |
|
$1$ |
$1024$ |
$0.932915$ |
$62161150998242/1607445$ |
$[0, -1, 0, -10480, -409460]$ |
\(y^2=x^3-x^2-10480x-409460\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 40.48.0-40.bp.1.7, 48.48.0-48.e.1.23, $\ldots$ |
$[(493/2, 3159/2)]$ |
840.d2 |
840f3 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.6 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.196597963$ |
$1$ |
|
$7$ |
$512$ |
$0.586342$ |
$34008619684/4862025$ |
$[0, -1, 0, -680, -5700]$ |
\(y^2=x^3-x^2-680x-5700\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.i.2.1, 40.48.0-40.e.1.10, 56.48.0-56.h.2.5, $\ldots$ |
$[(-15, 30)]$ |
840.d3 |
840f2 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.5 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.098298981$ |
$1$ |
|
$21$ |
$256$ |
$0.239768$ |
$2533446736/275625$ |
$[0, -1, 0, -180, 900]$ |
\(y^2=x^3-x^2-180x+900\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.i.1.1, 40.48.0-40.l.1.10, 56.48.0-56.h.1.9, $\ldots$ |
$[(5, 10)]$ |
840.d4 |
840f1 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$1680$ |
$192$ |
$1$ |
$2.196597963$ |
$1$ |
|
$7$ |
$128$ |
$-0.106806$ |
$37256083456/525$ |
$[0, -1, 0, -175, 952]$ |
\(y^2=x^3-x^2-175x+952\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 42.6.0.a.1, 48.48.0-48.e.2.15, $\ldots$ |
$[(17, 51)]$ |
840.d5 |
840f4 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 7 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$1680$ |
$192$ |
$1$ |
$2.196597963$ |
$1$ |
|
$7$ |
$512$ |
$0.586342$ |
$1486779836/8203125$ |
$[0, -1, 0, 240, 4092]$ |
\(y^2=x^3-x^2+240x+4092\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 24.48.0-24.bz.2.3, 56.48.0-56.bu.1.3, $\ldots$ |
$[(-2, 60)]$ |
840.d6 |
840f6 |
840.d |
840f |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$1680$ |
$192$ |
$1$ |
$4.393195927$ |
$1$ |
|
$3$ |
$1024$ |
$0.932915$ |
$75798394558/259416045$ |
$[0, -1, 0, 1120, -32340]$ |
\(y^2=x^3-x^2+1120x-32340\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.bz.1.11, 40.48.0-40.bl.1.7, $\ldots$ |
$[(57, 462)]$ |
840.e1 |
840c3 |
840.e |
840c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3 \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$256$ |
$0.405999$ |
$1214399773444/105$ |
$[0, -1, 0, -2240, -40068]$ |
\(y^2=x^3-x^2-2240x-40068\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[]$ |
840.e2 |
840c2 |
840.e |
840c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.059426$ |
$1193895376/11025$ |
$[0, -1, 0, -140, -588]$ |
\(y^2=x^3-x^2-140x-588\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 84.24.0.?, 420.48.0.? |
$[]$ |
840.e3 |
840c4 |
840.e |
840c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.405999$ |
$-7086244/972405$ |
$[0, -1, 0, -40, -1508]$ |
\(y^2=x^3-x^2-40x-1508\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 168.24.0.?, 840.48.0.? |
$[]$ |
840.e4 |
840c1 |
840.e |
840c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$64$ |
$-0.287148$ |
$24918016/13125$ |
$[0, -1, 0, -15, 12]$ |
\(y^2=x^3-x^2-15x+12\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 42.6.0.a.1, 84.24.0.?, $\ldots$ |
$[]$ |
840.f1 |
840g5 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.176 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$1.217749$ |
$784478485879202/221484375$ |
$[0, -1, 0, -24400, -1458548]$ |
\(y^2=x^3-x^2-24400x-1458548\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 56.96.0-56.bj.1.4, 80.96.0.?, $\ldots$ |
$[]$ |
840.f2 |
840g3 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.32 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.871176$ |
$549871953124/200930625$ |
$[0, -1, 0, -1720, -16100]$ |
\(y^2=x^3-x^2-1720x-16100\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.2.4, 40.96.0-40.w.2.4, 56.96.0-56.m.1.5, $\ldots$ |
$[]$ |
840.f3 |
840g2 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.25 |
2Cs |
$280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$512$ |
$0.524602$ |
$175293437776/4862025$ |
$[0, -1, 0, -740, 7812]$ |
\(y^2=x^3-x^2-740x+7812\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.1.9, 20.48.0-20.c.1.1, 40.96.0-40.k.2.13, $\ldots$ |
$[]$ |
840.f4 |
840g1 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.32 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.178028$ |
$2748251600896/2205$ |
$[0, -1, 0, -735, 7920]$ |
\(y^2=x^3-x^2-735x+7920\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 10.6.0.a.1, 16.48.0-16.e.2.7, $\ldots$ |
$[]$ |
840.f5 |
840g4 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.161 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.871176$ |
$439608956/259416045$ |
$[0, -1, 0, 160, 24732]$ |
\(y^2=x^3-x^2+160x+24732\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 20.24.0-20.h.1.2, 40.96.0-40.bn.1.4, $\ldots$ |
$[]$ |
840.f6 |
840g6 |
840.f |
840g |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{16} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.43 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2048$ |
$1.217749$ |
$7947184069438/7533176175$ |
$[0, -1, 0, 5280, -119700]$ |
\(y^2=x^3-x^2+5280x-119700\) |
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, 40.48.0-40.ca.1.11, $\ldots$ |
$[]$ |
840.g1 |
840h3 |
840.g |
840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{3} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.496640250$ |
$1$ |
|
$9$ |
$768$ |
$0.658283$ |
$2624033547076/324135$ |
$[0, 1, 0, -2896, 59024]$ |
\(y^2=x^3+x^2-2896x+59024\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$ |
$[(32, 12)]$ |
840.g2 |
840h2 |
840.g |
840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$420$ |
$48$ |
$0$ |
$0.248320125$ |
$1$ |
|
$23$ |
$384$ |
$0.311710$ |
$3269383504/893025$ |
$[0, 1, 0, -196, 704]$ |
\(y^2=x^3+x^2-196x+704\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 60.24.0-60.a.1.3, $\ldots$ |
$[(2, 18)]$ |
840.g3 |
840h1 |
840.g |
840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.496640250$ |
$1$ |
|
$7$ |
$192$ |
$-0.034864$ |
$2508888064/118125$ |
$[0, 1, 0, -71, -246]$ |
\(y^2=x^3+x^2-71x-246\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, $\ldots$ |
$[(-5, 3)]$ |
840.g4 |
840h4 |
840.g |
840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.496640250$ |
$1$ |
|
$7$ |
$768$ |
$0.658283$ |
$13799183324/18600435$ |
$[0, 1, 0, 504, 5184]$ |
\(y^2=x^3+x^2+504x+5184\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, $\ldots$ |
$[(0, 72)]$ |
840.h1 |
840d3 |
840.h |
840d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$1.936237$ |
$898353183174324196/29899176238575$ |
$[0, 1, 0, -202616, 34012320]$ |
\(y^2=x^3+x^2-202616x+34012320\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 28.24.0-28.h.1.2, 168.48.0.? |
$[]$ |
840.h2 |
840d2 |
840.h |
840d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$84$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3840$ |
$1.589663$ |
$13015144447800784/4341909875625$ |
$[0, 1, 0, -31116, -1385280]$ |
\(y^2=x^3+x^2-31116x-1385280\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 28.24.0-28.a.1.1, 84.48.0.? |
$[]$ |
840.h3 |
840d1 |
840.h |
840d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$1.243090$ |
$151591373397612544/32558203125$ |
$[0, 1, 0, -27991, -1811530]$ |
\(y^2=x^3+x^2-27991x-1811530\) |
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, $\ldots$ |
$[]$ |
840.h4 |
840d4 |
840.h |
840d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{2} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.936237$ |
$79743193254623804/84085819746075$ |
$[0, 1, 0, 90384, -9452880]$ |
\(y^2=x^3+x^2+90384x-9452880\) |
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.1.12, $\ldots$ |
$[]$ |
840.i1 |
840i3 |
840.i |
840i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3 \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.389626$ |
$15267472418/36015$ |
$[0, 1, 0, -656, 6240]$ |
\(y^2=x^3+x^2-656x+6240\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.bb.1.14, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
840.i2 |
840i2 |
840.i |
840i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$0.043052$ |
$19307236/11025$ |
$[0, 1, 0, -56, 0]$ |
\(y^2=x^3+x^2-56x\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.a.1.3, 60.12.0-2.a.1.1, $\ldots$ |
$[]$ |
840.i3 |
840i1 |
840.i |
840i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3 \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.303522$ |
$20720464/105$ |
$[0, 1, 0, -36, -96]$ |
\(y^2=x^3+x^2-36x-96\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.2, 56.24.0-56.bb.1.1, $\ldots$ |
$[]$ |
840.i4 |
840i4 |
840.i |
840i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3^{4} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.389626$ |
$604223422/354375$ |
$[0, 1, 0, 224, 224]$ |
\(y^2=x^3+x^2+224x+224\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.1, 56.24.0-56.v.1.2, $\ldots$ |
$[]$ |
840.j1 |
840j4 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$512$ |
$0.635336$ |
$32779037733124/315$ |
$[0, 1, 0, -6720, 209808]$ |
\(y^2=x^3+x^2-6720x+209808\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 48.48.0-48.h.1.15, 80.48.0.?, $\ldots$ |
$[]$ |
840.j2 |
840j5 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{11} \cdot 3 \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.981910$ |
$14695548366242/57421875$ |
$[0, 1, 0, -6480, -202272]$ |
\(y^2=x^3+x^2-6480x-202272\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.bj.1.7, 56.48.0-56.bu.1.11, $\ldots$ |
$[]$ |
840.j3 |
840j3 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.6 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.635336$ |
$23366901604/13505625$ |
$[0, 1, 0, -600, 0]$ |
\(y^2=x^3+x^2-600x\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.e.1.5, 40.48.0-40.h.1.1, 56.48.0-56.h.1.1, $\ldots$ |
$[]$ |
840.j4 |
840j2 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.5 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$256$ |
$0.288763$ |
$32082281296/99225$ |
$[0, 1, 0, -420, 3168]$ |
\(y^2=x^3+x^2-420x+3168\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 24.48.0-24.l.1.10, 40.48.0-40.h.2.9, 56.48.0-56.h.2.1, $\ldots$ |
$[]$ |
840.j5 |
840j1 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.45 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$128$ |
$-0.057811$ |
$-24918016/229635$ |
$[0, 1, 0, -15, 90]$ |
\(y^2=x^3+x^2-15x+90\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 40.48.0-40.ca.1.3, 48.48.0-48.h.1.15, $\ldots$ |
$[]$ |
840.j6 |
840j6 |
840.j |
840j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2^{11} \cdot 3 \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1024$ |
$0.981910$ |
$746185003198/432360075$ |
$[0, 1, 0, 2400, 2400]$ |
\(y^2=x^3+x^2+2400x+2400\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.bn.1.7, 40.48.0-40.ca.2.3, $\ldots$ |
$[]$ |