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 |
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 |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$256$ |
$0.288763$ |
$32082281296/99225$ |
$0.92349$ |
$4.41630$ |
$[0, 1, 0, -420, 3168]$ |
\(y^2=x^3+x^2-420x+3168\) |
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, $\ldots$ |
$[]$ |
1680.h4 |
1680d2 |
1680.h |
1680d |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.6 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.484894422$ |
$1$ |
|
$7$ |
$512$ |
$0.288763$ |
$32082281296/99225$ |
$0.92349$ |
$4.00411$ |
$[0, -1, 0, -420, -3168]$ |
\(y^2=x^3-x^2-420x-3168\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 24.48.0-24.l.1.3, 40.48.0-40.h.2.3, 56.48.0-56.h.2.5, $\ldots$ |
$[(52, 336)]$ |
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, $\ldots$ |
$[]$ |
4200.n4 |
4200d2 |
4200.n |
4200d |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.093481$ |
$32082281296/99225$ |
$0.92349$ |
$4.72182$ |
$[0, -1, 0, -10508, 417012]$ |
\(y^2=x^3-x^2-10508x+417012\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.3, 24.48.0-24.l.1.19, $\ldots$ |
$[]$ |
5040.s4 |
5040l2 |
5040.s |
5040l |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.542051700$ |
$1$ |
|
$9$ |
$4096$ |
$0.838069$ |
$32082281296/99225$ |
$0.92349$ |
$4.26132$ |
$[0, 0, 0, -3783, 89318]$ |
\(y^2=x^3-3783x+89318\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 12.24.0-4.b.1.1, 24.48.0-24.l.1.12, $\ldots$ |
$[(41, 56)]$ |
5880.g4 |
5880t2 |
5880.g |
5880t |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.062522540$ |
$1$ |
|
$9$ |
$12288$ |
$1.261717$ |
$32082281296/99225$ |
$0.92349$ |
$4.77137$ |
$[0, -1, 0, -20596, -1127804]$ |
\(y^2=x^3-x^2-20596x-1127804\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 20.24.0-4.b.1.2, 24.48.0-24.l.1.6, $\ldots$ |
$[(-84, 50)]$ |
6720.b4 |
6720e2 |
6720.b |
6720e |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$840$ |
$192$ |
$1$ |
$0.977561986$ |
$1$ |
|
$13$ |
$4096$ |
$0.635336$ |
$32082281296/99225$ |
$0.92349$ |
$3.84616$ |
$[0, -1, 0, -1681, 27025]$ |
\(y^2=x^3-x^2-1681x+27025\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 24.48.0-24.l.1.5, 40.48.0-40.h.2.11, $\ldots$ |
$[(9, 112)]$ |
6720.bw4 |
6720ca2 |
6720.bw |
6720ca |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4096$ |
$0.635336$ |
$32082281296/99225$ |
$0.92349$ |
$3.84616$ |
$[0, 1, 0, -1681, -27025]$ |
\(y^2=x^3+x^2-1681x-27025\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 24.48.0-24.l.1.11, 40.48.0-40.h.2.1, $\ldots$ |
$[]$ |
8400.bl4 |
8400w2 |
8400.bl |
8400w |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.093481$ |
$32082281296/99225$ |
$0.92349$ |
$4.35961$ |
$[0, 1, 0, -10508, -417012]$ |
\(y^2=x^3+x^2-10508x-417012\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 20.24.0-4.b.1.1, 24.48.0-24.l.1.13, $\ldots$ |
$[]$ |
11760.bk4 |
11760y2 |
11760.bk |
11760y |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.581135238$ |
$1$ |
|
$9$ |
$24576$ |
$1.261717$ |
$32082281296/99225$ |
$0.92349$ |
$4.41850$ |
$[0, 1, 0, -20596, 1127804]$ |
\(y^2=x^3+x^2-20596x+1127804\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 20.24.0-4.b.1.2, 24.48.0-24.l.1.8, $\ldots$ |
$[(74, 120)]$ |
12600.bj4 |
12600ce2 |
12600.bj |
12600ce |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.642788$ |
$32082281296/99225$ |
$0.92349$ |
$4.87055$ |
$[0, 0, 0, -94575, -11164750]$ |
\(y^2=x^3-94575x-11164750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.l.1.16, 40.48.0-40.h.2.16, $\ldots$ |
$[]$ |
17640.br4 |
17640bf2 |
17640.br |
17640bf |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.811024$ |
$32082281296/99225$ |
$0.92349$ |
$4.90941$ |
$[0, 0, 0, -185367, 30636074]$ |
\(y^2=x^3-185367x+30636074\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.l.1.4, 40.48.0-40.h.2.27, $\ldots$ |
$[]$ |
20160.dy4 |
20160cb2 |
20160.dy |
20160cb |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.342299261$ |
$1$ |
|
$7$ |
$32768$ |
$1.184643$ |
$32082281296/99225$ |
$0.92349$ |
$4.08490$ |
$[0, 0, 0, -15132, -714544]$ |
\(y^2=x^3-15132x-714544\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.l.1.9, 40.48.0-40.h.2.7, $\ldots$ |
$[(182, 1600)]$ |
20160.ei4 |
20160fh2 |
20160.ei |
20160fh |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.608584839$ |
$1$ |
|
$9$ |
$32768$ |
$1.184643$ |
$32082281296/99225$ |
$0.92349$ |
$4.08490$ |
$[0, 0, 0, -15132, 714544]$ |
\(y^2=x^3-15132x+714544\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.l.1.1, 40.48.0-40.h.2.13, $\ldots$ |
$[(20, 648)]$ |
25200.cu4 |
25200bc2 |
25200.cu |
25200bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.642788$ |
$32082281296/99225$ |
$0.92349$ |
$4.53743$ |
$[0, 0, 0, -94575, 11164750]$ |
\(y^2=x^3-94575x+11164750\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.l.1.20, 40.48.0-40.h.2.6, $\ldots$ |
$[]$ |
29400.eo4 |
29400br2 |
29400.eo |
29400br |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.956448495$ |
$1$ |
|
$5$ |
$294912$ |
$2.066437$ |
$32082281296/99225$ |
$0.92349$ |
$4.96356$ |
$[0, 1, 0, -514908, -142005312]$ |
\(y^2=x^3+x^2-514908x-142005312\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.l.1.17, 40.48.0-40.h.2.30, 56.48.0-56.h.2.28, $\ldots$ |
$[(6828, 561000)]$ |
33600.cc4 |
33600el2 |
33600.cc |
33600el |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.440056$ |
$32082281296/99225$ |
$0.92349$ |
$4.17876$ |
$[0, -1, 0, -42033, -3294063]$ |
\(y^2=x^3-x^2-42033x-3294063\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.l.1.20, 40.48.0-40.h.2.12, $\ldots$ |
$[]$ |
33600.fk4 |
33600dc2 |
33600.fk |
33600dc |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.203856661$ |
$1$ |
|
$11$ |
$98304$ |
$1.440056$ |
$32082281296/99225$ |
$0.92349$ |
$4.17876$ |
$[0, 1, 0, -42033, 3294063]$ |
\(y^2=x^3+x^2-42033x+3294063\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.l.1.16, 40.48.0-40.h.2.2, $\ldots$ |
$[(99, 336)]$ |
35280.fq4 |
35280cj2 |
35280.fq |
35280cj |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$196608$ |
$1.811024$ |
$32082281296/99225$ |
$0.92349$ |
$4.58443$ |
$[0, 0, 0, -185367, -30636074]$ |
\(y^2=x^3-185367x-30636074\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.l.1.2, 40.48.0-40.h.2.17, $\ldots$ |
$[]$ |
47040.dm4 |
47040fh2 |
47040.dm |
47040fh |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.608292$ |
$32082281296/99225$ |
$0.92349$ |
$4.23572$ |
$[0, -1, 0, -82385, 9104817]$ |
\(y^2=x^3-x^2-82385x+9104817\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 24.48.0-24.l.1.4, 40.48.0-40.h.2.31, $\ldots$ |
$[]$ |
47040.fv4 |
47040do2 |
47040.fv |
47040do |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.608292$ |
$32082281296/99225$ |
$0.92349$ |
$4.23572$ |
$[0, 1, 0, -82385, -9104817]$ |
\(y^2=x^3+x^2-82385x-9104817\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.l.1.2, 40.48.0-40.h.2.21, $\ldots$ |
$[]$ |
58800.o4 |
58800bf2 |
58800.o |
58800bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.066437$ |
$32082281296/99225$ |
$0.92349$ |
$4.65027$ |
$[0, -1, 0, -514908, 142005312]$ |
\(y^2=x^3-x^2-514908x+142005312\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.l.1.17, 40.48.0-40.h.2.24, 56.48.0-56.h.2.32, $\ldots$ |
$[]$ |
88200.m4 |
88200hb2 |
88200.m |
88200hb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.270931217$ |
$1$ |
|
$29$ |
$2359296$ |
$2.615742$ |
$32082281296/99225$ |
$0.92349$ |
$5.06355$ |
$[0, 0, 0, -4634175, 3829509250]$ |
\(y^2=x^3-4634175x+3829509250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 12.24.0-4.b.1.2, 24.48.0-24.l.1.14, $\ldots$ |
$[(945, 17150), (890, 20250)]$ |
100800.z4 |
100800mc2 |
100800.z |
100800mc |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.727660335$ |
$1$ |
|
$11$ |
$786432$ |
$1.989361$ |
$32082281296/99225$ |
$0.92349$ |
$4.35243$ |
$[0, 0, 0, -378300, 89318000]$ |
\(y^2=x^3-378300x+89318000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.l.1.13, 40.48.0-40.h.2.8, $\ldots$ |
$[(424, 2268)]$ |
100800.pa4 |
100800fi2 |
100800.pa |
100800fi |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$5.017584277$ |
$1$ |
|
$5$ |
$786432$ |
$1.989361$ |
$32082281296/99225$ |
$0.92349$ |
$4.35243$ |
$[0, 0, 0, -378300, -89318000]$ |
\(y^2=x^3-378300x-89318000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.l.1.19, 40.48.0-40.h.2.14, $\ldots$ |
$[(19910, 2808000)]$ |
101640.ct4 |
101640bm2 |
101640.ct |
101640bm |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$3.906986455$ |
$1$ |
|
$5$ |
$327680$ |
$1.487711$ |
$32082281296/99225$ |
$0.92349$ |
$3.82716$ |
$[0, 1, 0, -50860, -4420000]$ |
\(y^2=x^3+x^2-50860x-4420000\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 44.24.0-4.b.1.3, $\ldots$ |
$[(964, 29040)]$ |
141120.z4 |
141120db2 |
141120.z |
141120db |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$1572864$ |
$2.157597$ |
$32082281296/99225$ |
$0.92349$ |
$4.39919$ |
$[0, 0, 0, -741468, -245088592]$ |
\(y^2=x^3-741468x-245088592\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.l.1.6, 40.48.0-40.h.2.19, $\ldots$ |
$[]$ |
141120.gy4 |
141120mw2 |
141120.gy |
141120mw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$840$ |
$192$ |
$1$ |
$2.704915535$ |
$1$ |
|
$9$ |
$1572864$ |
$2.157597$ |
$32082281296/99225$ |
$0.92349$ |
$4.39919$ |
$[0, 0, 0, -741468, 245088592]$ |
\(y^2=x^3-741468x+245088592\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.l.1.8, 40.48.0-40.h.2.25, $\ldots$ |
$[(464, 972)]$ |
141960.bt4 |
141960bp2 |
141960.bt |
141960bp |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.535929161$ |
$1$ |
|
$9$ |
$589824$ |
$1.571238$ |
$32082281296/99225$ |
$0.92349$ |
$3.80387$ |
$[0, 1, 0, -71036, 7244160]$ |
\(y^2=x^3+x^2-71036x+7244160\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 52.24.0-4.b.1.3, $\ldots$ |
$[(112, 840)]$ |
176400.rm4 |
176400qh2 |
176400.rm |
176400qh |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.16 |
2Cs |
$840$ |
$192$ |
$1$ |
$10.41349554$ |
$1$ |
|
$3$ |
$4718592$ |
$2.615742$ |
$32082281296/99225$ |
$0.92349$ |
$4.77302$ |
$[0, 0, 0, -4634175, -3829509250]$ |
\(y^2=x^3-4634175x-3829509250\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.7, 12.24.0-4.b.1.2, 24.48.0-24.l.1.14, $\ldots$ |
$[(2067226/5, 2971209276/5)]$ |
203280.ct4 |
203280gl2 |
203280.ct |
203280gl |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$2.501360289$ |
$1$ |
|
$7$ |
$655360$ |
$1.487711$ |
$32082281296/99225$ |
$0.92349$ |
$3.61012$ |
$[0, -1, 0, -50860, 4420000]$ |
\(y^2=x^3-x^2-50860x+4420000\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 44.24.0-4.b.1.1, $\ldots$ |
$[(145, 270)]$ |
235200.ci4 |
235200ci2 |
235200.ci |
235200ci |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4718592$ |
$2.413010$ |
$32082281296/99225$ |
$0.92349$ |
$4.46530$ |
$[0, -1, 0, -2059633, -1133982863]$ |
\(y^2=x^3-x^2-2059633x-1133982863\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.l.1.15, 40.48.0-40.h.2.32, $\ldots$ |
$[]$ |
235200.bbm4 |
235200bbm2 |
235200.bbm |
235200bbm |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$4718592$ |
$2.413010$ |
$32082281296/99225$ |
$0.92349$ |
$4.46530$ |
$[0, 1, 0, -2059633, 1133982863]$ |
\(y^2=x^3+x^2-2059633x+1133982863\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 24.48.0-24.l.1.15, 40.48.0-40.h.2.22, $\ldots$ |
$[]$ |
242760.o4 |
242760o2 |
242760.o |
242760o |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1.147482365$ |
$1$ |
|
$13$ |
$1310720$ |
$1.705370$ |
$32082281296/99225$ |
$0.92349$ |
$3.76909$ |
$[0, -1, 0, -121476, 16293060]$ |
\(y^2=x^3-x^2-121476x+16293060\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 56.24.0.h.2, $\ldots$ |
$[(228, 630)]$ |
283920.y4 |
283920y2 |
283920.y |
283920y |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$5.782279516$ |
$1$ |
|
$5$ |
$1179648$ |
$1.571238$ |
$32082281296/99225$ |
$0.92349$ |
$3.59389$ |
$[0, -1, 0, -71036, -7244160]$ |
\(y^2=x^3-x^2-71036x-7244160\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 52.24.0-4.b.1.1, $\ldots$ |
$[(4065, 258570)]$ |
303240.x4 |
303240x2 |
303240.x |
303240x |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$15960$ |
$192$ |
$1$ |
$8.715387988$ |
$1$ |
|
$5$ |
$1769472$ |
$1.760983$ |
$32082281296/99225$ |
$0.92349$ |
$3.75553$ |
$[0, -1, 0, -151740, -22639500]$ |
\(y^2=x^3-x^2-151740x-22639500\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 56.24.0.h.2, $\ldots$ |
$[(306217, 169450512)]$ |
304920.cg4 |
304920cg2 |
304920.cg |
304920cg |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1.400279510$ |
$1$ |
|
$13$ |
$2621440$ |
$2.037018$ |
$32082281296/99225$ |
$0.92349$ |
$4.01620$ |
$[0, 0, 0, -457743, 118882258]$ |
\(y^2=x^3-457743x+118882258\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 56.24.0.h.2, $\ldots$ |
$[(429, 1210)]$ |
425880.fb4 |
425880fb2 |
425880.fb |
425880fb |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$3.881500922$ |
$1$ |
|
$7$ |
$4718592$ |
$2.120544$ |
$32082281296/99225$ |
$0.92349$ |
$3.99001$ |
$[0, 0, 0, -639327, -196231646]$ |
\(y^2=x^3-639327x-196231646\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 56.24.0.h.2, $\ldots$ |
$[(1430, 42588)]$ |
444360.br4 |
444360br2 |
444360.br |
444360br |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$19320$ |
$192$ |
$1$ |
$2.146490505$ |
$1$ |
|
$9$ |
$3244032$ |
$1.856510$ |
$32082281296/99225$ |
$0.92349$ |
$3.73333$ |
$[0, 1, 0, -222356, -40323456]$ |
\(y^2=x^3+x^2-222356x-40323456\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 56.24.0.h.2, $\ldots$ |
$[(-266, 270)]$ |
485520.fj4 |
485520fj2 |
485520.fj |
485520fj |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2621440$ |
$1.705370$ |
$32082281296/99225$ |
$0.92349$ |
$3.56955$ |
$[0, 1, 0, -121476, -16293060]$ |
\(y^2=x^3+x^2-121476x-16293060\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.l.1, 40.24.0.h.2, 56.24.0.h.2, $\ldots$ |
$[]$ |
705600.hl4 |
- |
705600.hl |
- |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$37748736$ |
$2.962315$ |
$32082281296/99225$ |
$0.92349$ |
$4.59050$ |
$[0, 0, 0, -18536700, -30636074000]$ |
\(y^2=x^3-18536700x-30636074000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.l.1.18, 40.48.0-40.h.2.26, $\ldots$ |
$[]$ |
705600.bww4 |
- |
705600.bww |
- |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$840$ |
$192$ |
$1$ |
$4.692179935$ |
$1$ |
|
$5$ |
$37748736$ |
$2.962315$ |
$32082281296/99225$ |
$0.92349$ |
$4.59050$ |
$[0, 0, 0, -18536700, 30636074000]$ |
\(y^2=x^3-18536700x+30636074000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.l.1.18, 40.48.0-40.h.2.20, $\ldots$ |
$[(4405, 185625)]$ |