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 |
168.a4 |
168b1 |
168.a |
168b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24$ |
$-0.164958$ |
$-2725888/64827$ |
$1.07980$ |
$4.16295$ |
$[0, -1, 0, -7, 52]$ |
\(y^2=x^3-x^2-7x+52\) |
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, $\ldots$ |
$[]$ |
336.e4 |
336c1 |
336.e |
336c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$48$ |
$-0.164958$ |
$-2725888/64827$ |
$1.07980$ |
$3.66691$ |
$[0, 1, 0, -7, -52]$ |
\(y^2=x^3+x^2-7x-52\) |
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, $\ldots$ |
$[]$ |
504.e4 |
504g1 |
504.e |
504g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$192$ |
$0.384348$ |
$-2725888/64827$ |
$1.07980$ |
$4.48729$ |
$[0, 0, 0, -66, -1339]$ |
\(y^2=x^3-66x-1339\) |
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.1.13, $\ldots$ |
$[]$ |
1008.b4 |
1008e1 |
1008.b |
1008e |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.384348$ |
$-2725888/64827$ |
$1.07980$ |
$4.03754$ |
$[0, 0, 0, -66, 1339]$ |
\(y^2=x^3-66x+1339\) |
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, $\ldots$ |
$[]$ |
1176.f4 |
1176e1 |
1176.f |
1176e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$0.996512522$ |
$1$ |
|
$7$ |
$1152$ |
$0.807997$ |
$-2725888/64827$ |
$1.07980$ |
$4.66858$ |
$[0, 1, 0, -359, -17130]$ |
\(y^2=x^3+x^2-359x-17130\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[(37, 147)]$ |
1344.b4 |
1344l1 |
1344.b |
1344l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.181615$ |
$-2725888/64827$ |
$1.07980$ |
$3.53856$ |
$[0, -1, 0, -29, -387]$ |
\(y^2=x^3-x^2-29x-387\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[]$ |
1344.m4 |
1344j1 |
1344.m |
1344j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$0.290208420$ |
$1$ |
|
$9$ |
$384$ |
$0.181615$ |
$-2725888/64827$ |
$1.07980$ |
$3.53856$ |
$[0, 1, 0, -29, 387]$ |
\(y^2=x^3+x^2-29x+387\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(-2, 21)]$ |
2352.c4 |
2352d1 |
2352.c |
2352d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.807997$ |
$-2725888/64827$ |
$1.07980$ |
$4.25173$ |
$[0, -1, 0, -359, 17130]$ |
\(y^2=x^3-x^2-359x+17130\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
3528.v4 |
3528y1 |
3528.v |
3528y |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.357304$ |
$-2725888/64827$ |
$1.07980$ |
$4.84765$ |
$[0, 0, 0, -3234, 459277]$ |
\(y^2=x^3-3234x+459277\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[]$ |
4032.bc4 |
4032bd1 |
4032.bc |
4032bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1.029618183$ |
$1$ |
|
$5$ |
$3072$ |
$0.730922$ |
$-2725888/64827$ |
$1.07980$ |
$3.86429$ |
$[0, 0, 0, -264, 10712]$ |
\(y^2=x^3-264x+10712\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[(-14, 108)]$ |
4032.bh4 |
4032o1 |
4032.bh |
4032o |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$2.087192021$ |
$1$ |
|
$5$ |
$3072$ |
$0.730922$ |
$-2725888/64827$ |
$1.07980$ |
$3.86429$ |
$[0, 0, 0, -264, -10712]$ |
\(y^2=x^3-264x-10712\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(54, 364)]$ |
4200.t4 |
4200x1 |
4200.t |
4200x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.669463667$ |
$1$ |
|
$7$ |
$3072$ |
$0.639761$ |
$-2725888/64827$ |
$1.07980$ |
$3.71426$ |
$[0, 1, 0, -183, 6138]$ |
\(y^2=x^3+x^2-183x+6138\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(3, 75)]$ |
7056.bq4 |
7056w1 |
7056.bq |
7056w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$168$ |
$48$ |
$0$ |
$4.362641871$ |
$1$ |
|
$1$ |
$18432$ |
$1.357304$ |
$-2725888/64827$ |
$1.07980$ |
$4.46847$ |
$[0, 0, 0, -3234, -459277]$ |
\(y^2=x^3-3234x-459277\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[(26089/2, 4213755/2)]$ |
8400.y4 |
8400f1 |
8400.y |
8400f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.639761$ |
$-2725888/64827$ |
$1.07980$ |
$3.42934$ |
$[0, -1, 0, -183, -6138]$ |
\(y^2=x^3-x^2-183x-6138\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
9408.be4 |
9408i1 |
9408.be |
9408i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18432$ |
$1.154570$ |
$-2725888/64827$ |
$1.07980$ |
$4.06207$ |
$[0, -1, 0, -1437, -135603]$ |
\(y^2=x^3-x^2-1437x-135603\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
9408.da4 |
9408cv1 |
9408.da |
9408cv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.154570$ |
$-2725888/64827$ |
$1.07980$ |
$4.06207$ |
$[0, 1, 0, -1437, 135603]$ |
\(y^2=x^3+x^2-1437x+135603\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
12600.n4 |
12600m1 |
12600.n |
12600m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.189068$ |
$-2725888/64827$ |
$1.07980$ |
$3.98023$ |
$[0, 0, 0, -1650, -167375]$ |
\(y^2=x^3-1650x-167375\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
20328.f4 |
20328q1 |
20328.f |
20328q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$6.070934530$ |
$1$ |
|
$1$ |
$34560$ |
$1.033989$ |
$-2725888/64827$ |
$1.07980$ |
$3.60071$ |
$[0, -1, 0, -887, -65712]$ |
\(y^2=x^3-x^2-887x-65712\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(3601/5, 208201/5)]$ |
25200.ed4 |
25200bn1 |
25200.ed |
25200bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.074291332$ |
$1$ |
|
$5$ |
$49152$ |
$1.189068$ |
$-2725888/64827$ |
$1.07980$ |
$3.70800$ |
$[0, 0, 0, -1650, 167375]$ |
\(y^2=x^3-1650x+167375\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(19, 378)]$ |
28224.bq4 |
28224gb1 |
28224.bq |
28224gb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.703876$ |
$-2725888/64827$ |
$1.07980$ |
$4.26982$ |
$[0, 0, 0, -12936, -3674216]$ |
\(y^2=x^3-12936x-3674216\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.6, 12.12.0.g.1, $\ldots$ |
$[]$ |
28224.br4 |
28224ce1 |
28224.br |
28224ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$168$ |
$48$ |
$0$ |
$1.755889070$ |
$1$ |
|
$5$ |
$147456$ |
$1.703876$ |
$-2725888/64827$ |
$1.07980$ |
$4.26982$ |
$[0, 0, 0, -12936, 3674216]$ |
\(y^2=x^3-12936x+3674216\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.6, 12.12.0.g.1, $\ldots$ |
$[(70, 1764)]$ |
28392.d4 |
28392q1 |
28392.d |
28392q |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.455244896$ |
$1$ |
|
$13$ |
$46080$ |
$1.117516$ |
$-2725888/64827$ |
$1.07980$ |
$3.58114$ |
$[0, -1, 0, -1239, 109368]$ |
\(y^2=x^3-x^2-1239x+109368\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(61, 507), (-4, 338)]$ |
29400.bl4 |
29400cr1 |
29400.bl |
29400cr |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.985789257$ |
$1$ |
|
$1$ |
$147456$ |
$1.612717$ |
$-2725888/64827$ |
$1.07980$ |
$4.14656$ |
$[0, -1, 0, -8983, -2123288]$ |
\(y^2=x^3-x^2-8983x-2123288\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(1993/3, 69875/3)]$ |
33600.bh4 |
33600c1 |
33600.bh |
33600c |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.380046370$ |
$1$ |
|
$3$ |
$49152$ |
$0.986335$ |
$-2725888/64827$ |
$1.07980$ |
$3.37223$ |
$[0, -1, 0, -733, 49837]$ |
\(y^2=x^3-x^2-733x+49837\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.2, $\ldots$ |
$[(21, 208)]$ |
33600.gm4 |
33600gl1 |
33600.gm |
33600gl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.986335$ |
$-2725888/64827$ |
$1.07980$ |
$3.37223$ |
$[0, 1, 0, -733, -49837]$ |
\(y^2=x^3+x^2-733x-49837\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.1, $\ldots$ |
$[]$ |
40656.de4 |
40656bb1 |
40656.de |
40656bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.033989$ |
$-2725888/64827$ |
$1.07980$ |
$3.36555$ |
$[0, 1, 0, -887, 65712]$ |
\(y^2=x^3+x^2-887x+65712\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
48552.s4 |
48552p1 |
48552.s |
48552p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.251648$ |
$-2725888/64827$ |
$1.07980$ |
$3.55224$ |
$[0, 1, 0, -2119, 242942]$ |
\(y^2=x^3+x^2-2119x+242942\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
56784.ce4 |
56784v1 |
56784.ce |
56784v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.657080037$ |
$1$ |
|
$3$ |
$92160$ |
$1.117516$ |
$-2725888/64827$ |
$1.07980$ |
$3.35439$ |
$[0, 1, 0, -1239, -109368]$ |
\(y^2=x^3+x^2-1239x-109368\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(108, 1014)]$ |
58800.ie4 |
58800cw1 |
58800.ie |
58800cw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.466169407$ |
$1$ |
|
$3$ |
$294912$ |
$1.612717$ |
$-2725888/64827$ |
$1.07980$ |
$3.88484$ |
$[0, 1, 0, -8983, 2123288]$ |
\(y^2=x^3+x^2-8983x+2123288\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(248, 3900)]$ |
60648.bp4 |
60648bp1 |
60648.bp |
60648bp |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1.357717082$ |
$1$ |
|
$3$ |
$165888$ |
$1.307261$ |
$-2725888/64827$ |
$1.07980$ |
$3.54109$ |
$[0, 1, 0, -2647, -341038]$ |
\(y^2=x^3+x^2-2647x-341038\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[(614, 15162)]$ |
60984.f4 |
60984z1 |
60984.f |
60984z |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1.039578024$ |
$1$ |
|
$9$ |
$276480$ |
$1.583296$ |
$-2725888/64827$ |
$1.07980$ |
$3.83994$ |
$[0, 0, 0, -7986, 1782209]$ |
\(y^2=x^3-7986x+1782209\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(4, 1323)]$ |
85176.bp4 |
85176o1 |
85176.bp |
85176o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.666822$ |
$-2725888/64827$ |
$1.07980$ |
$3.81522$ |
$[0, 0, 0, -11154, -2941783]$ |
\(y^2=x^3-11154x-2941783\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
88200.ey4 |
88200ca1 |
88200.ey |
88200ca |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$2.059023991$ |
$1$ |
|
$3$ |
$1179648$ |
$2.162022$ |
$-2725888/64827$ |
$1.07980$ |
$4.32537$ |
$[0, 0, 0, -80850, 57409625]$ |
\(y^2=x^3-80850x+57409625\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(1645, 66150)]$ |
88872.b4 |
88872c1 |
88872.b |
88872c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$295680$ |
$1.402788$ |
$-2725888/64827$ |
$1.07980$ |
$3.52295$ |
$[0, -1, 0, -3879, -602100]$ |
\(y^2=x^3-x^2-3879x-602100\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
97104.k4 |
97104g1 |
97104.k |
97104g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.251648$ |
$-2725888/64827$ |
$1.07980$ |
$3.33783$ |
$[0, -1, 0, -2119, -242942]$ |
\(y^2=x^3-x^2-2119x-242942\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
100800.eo4 |
100800db1 |
100800.eo |
100800db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.535641$ |
$-2725888/64827$ |
$1.07980$ |
$3.62281$ |
$[0, 0, 0, -6600, -1339000]$ |
\(y^2=x^3-6600x-1339000\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.2, $\ldots$ |
$[]$ |
100800.mw4 |
100800na1 |
100800.mw |
100800na |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.535641$ |
$-2725888/64827$ |
$1.07980$ |
$3.62281$ |
$[0, 0, 0, -6600, 1339000]$ |
\(y^2=x^3-6600x+1339000\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.1, $\ldots$ |
$[]$ |
121296.bm4 |
121296f1 |
121296.bm |
121296f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.307261$ |
$-2725888/64827$ |
$1.07980$ |
$3.33141$ |
$[0, -1, 0, -2647, 341038]$ |
\(y^2=x^3-x^2-2647x+341038\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
121968.bm4 |
121968cg1 |
121968.bm |
121968cg |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.583296$ |
$-2725888/64827$ |
$1.07980$ |
$3.61267$ |
$[0, 0, 0, -7986, -1782209]$ |
\(y^2=x^3-7986x-1782209\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
141288.t4 |
141288i1 |
141288.t |
141288i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4872$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$537600$ |
$1.518690$ |
$-2725888/64827$ |
$1.07980$ |
$3.50250$ |
$[0, 1, 0, -6167, 1207458]$ |
\(y^2=x^3+x^2-6167x+1207458\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
142296.cu4 |
142296i1 |
142296.cu |
142296i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$2.740276639$ |
$1$ |
|
$5$ |
$1658880$ |
$2.006943$ |
$-2725888/64827$ |
$1.07980$ |
$3.99419$ |
$[0, 1, 0, -43479, 22626162]$ |
\(y^2=x^3+x^2-43479x+22626162\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[(-213, 4719)]$ |
145656.be4 |
145656t1 |
145656.be |
145656t |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$13.35431132$ |
$1$ |
|
$1$ |
$983040$ |
$1.800955$ |
$-2725888/64827$ |
$1.07980$ |
$3.77843$ |
$[0, 0, 0, -19074, -6578507]$ |
\(y^2=x^3-19074x-6578507\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[(14783574/55, 56817670793/55)]$ |
161448.bg4 |
161448x1 |
161448.bg |
161448x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5208$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$691200$ |
$1.552036$ |
$-2725888/64827$ |
$1.07980$ |
$3.49691$ |
$[0, 1, 0, -7047, -1479762]$ |
\(y^2=x^3+x^2-7047x-1479762\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
162624.bj4 |
162624cj1 |
162624.bj |
162624cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.380564$ |
$-2725888/64827$ |
$1.07980$ |
$3.32331$ |
$[0, -1, 0, -3549, 529245]$ |
\(y^2=x^3-x^2-3549x+529245\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
162624.fp4 |
162624ex1 |
162624.fp |
162624ex |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.884329843$ |
$1$ |
|
$3$ |
$552960$ |
$1.380564$ |
$-2725888/64827$ |
$1.07980$ |
$3.32331$ |
$[0, 1, 0, -3549, -529245]$ |
\(y^2=x^3+x^2-3549x-529245\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[(495, 10920)]$ |
170352.fj4 |
170352fg1 |
170352.fj |
170352fg |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$3.297747661$ |
$1$ |
|
$3$ |
$737280$ |
$1.666822$ |
$-2725888/64827$ |
$1.07980$ |
$3.59568$ |
$[0, 0, 0, -11154, 2941783]$ |
\(y^2=x^3-11154x+2941783\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(2379, 115934)]$ |
176400.mn4 |
176400pm1 |
176400.mn |
176400pm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$19.51206136$ |
$1$ |
|
$1$ |
$2359296$ |
$2.162022$ |
$-2725888/64827$ |
$1.07980$ |
$4.07719$ |
$[0, 0, 0, -80850, -57409625]$ |
\(y^2=x^3-80850x-57409625\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(1420498095/517, 53450919134600/517)]$ |
177744.cc4 |
177744ck1 |
177744.cc |
177744ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$591360$ |
$1.402788$ |
$-2725888/64827$ |
$1.07980$ |
$3.32094$ |
$[0, 1, 0, -3879, 602100]$ |
\(y^2=x^3+x^2-3879x+602100\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |
181944.n4 |
181944bh1 |
181944.n |
181944bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{4} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$2.445263237$ |
$1$ |
|
$15$ |
$1327104$ |
$1.856567$ |
$-2725888/64827$ |
$1.07980$ |
$3.76413$ |
$[0, 0, 0, -23826, 9184201]$ |
\(y^2=x^3-23826x+9184201\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[(-76, 3249), (285, 5054)]$ |
198744.di4 |
198744x1 |
198744.di |
198744x |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.090473$ |
$-2725888/64827$ |
$1.07980$ |
$3.96696$ |
$[0, 1, 0, -60727, -37391782]$ |
\(y^2=x^3+x^2-60727x-37391782\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[]$ |