| 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 |
| 990.a1 |
990a1 |
990.a |
990a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.246131086$ |
$1$ |
|
$11$ |
$64$ |
$-0.397070$ |
$14348907/1100$ |
$1.07010$ |
$2.86690$ |
$[1, -1, 0, -15, 25]$ |
\(y^2+xy=x^3-x^2-15x+25\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(0, 5)]$ |
| 990.a2 |
990a2 |
990.a |
990a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2 \cdot 3^{3} \cdot 5^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.492262172$ |
$1$ |
|
$8$ |
$128$ |
$-0.050496$ |
$13312053/151250$ |
$0.94142$ |
$3.28007$ |
$[1, -1, 0, 15, 91]$ |
\(y^2+xy=x^3-x^2+15x+91\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(3, 11)]$ |
| 990.b1 |
990c5 |
990.b |
990c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$2.011066$ |
$553808571467029327441/12529687500$ |
$1.04740$ |
$7.88016$ |
$[1, -1, 0, -1539765, 735795481]$ |
\(y^2+xy=x^3-x^2-1539765x+735795481\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.15, $\ldots$ |
$[ ]$ |
| 990.b2 |
990c3 |
990.b |
990c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 3^{9} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.664492$ |
$182864522286982801/463015182960$ |
$1.07501$ |
$6.71806$ |
$[1, -1, 0, -106425, -13307459]$ |
\(y^2+xy=x^3-x^2-106425x-13307459\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 990.b3 |
990c4 |
990.b |
990c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 3^{18} \cdot 5^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$6144$ |
$1.664492$ |
$135670761487282321/643043610000$ |
$1.02017$ |
$6.67478$ |
$[1, -1, 0, -96345, 11487325]$ |
\(y^2+xy=x^3-x^2-96345x+11487325\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.1, 24.48.0-24.h.1.6, $\ldots$ |
$[ ]$ |
| 990.b4 |
990c6 |
990.b |
990c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{2} \cdot 3^{30} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$2.011066$ |
$-15595206456730321/310672490129100$ |
$1.05689$ |
$6.87834$ |
$[1, -1, 0, -46845, 23238625]$ |
\(y^2+xy=x^3-x^2-46845x+23238625\) |
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.1.4, $\ldots$ |
$[ ]$ |
| 990.b5 |
990c2 |
990.b |
990c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$1.317919$ |
$119102750067601/68309049600$ |
$1.06441$ |
$5.65444$ |
$[1, -1, 0, -9225, -29939]$ |
\(y^2+xy=x^3-x^2-9225x-29939\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 12.24.0-4.b.1.3, 20.24.0-4.b.1.2, $\ldots$ |
$[ ]$ |
| 990.b6 |
990c1 |
990.b |
990c |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.971345$ |
$1833318007919/1070530560$ |
$1.04706$ |
$5.04933$ |
$[1, -1, 0, 2295, -4595]$ |
\(y^2+xy=x^3-x^2+2295x-4595\) |
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.1.2, $\ldots$ |
$[ ]$ |
| 990.c1 |
990e5 |
990.c |
990e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.98 |
2B |
$2640$ |
$192$ |
$1$ |
$0.954420362$ |
$1$ |
|
$6$ |
$2048$ |
$1.249395$ |
$6484907238722641/283593750$ |
$1.00744$ |
$6.23395$ |
$[1, -1, 0, -34965, 2525175]$ |
\(y^2+xy=x^3-x^2-34965x+2525175\) |
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, $\ldots$ |
$[(111, -6)]$ |
| 990.c2 |
990e3 |
990.c |
990e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{14} \cdot 5 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$2640$ |
$192$ |
$1$ |
$1.908840725$ |
$1$ |
|
$6$ |
$1024$ |
$0.902822$ |
$179415687049201/1443420$ |
$0.99008$ |
$5.71384$ |
$[1, -1, 0, -10575, -415935]$ |
\(y^2+xy=x^3-x^2-10575x-415935\) |
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, $\ldots$ |
$[(-59, 30)]$ |
| 990.c3 |
990e4 |
990.c |
990e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.19 |
2Cs |
$1320$ |
$192$ |
$1$ |
$0.477210181$ |
$1$ |
|
$16$ |
$1024$ |
$0.902822$ |
$1834216913521/329422500$ |
$0.96888$ |
$5.04941$ |
$[1, -1, 0, -2295, 35721]$ |
\(y^2+xy=x^3-x^2-2295x+35721\) |
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, $\ldots$ |
$[(12, 93)]$ |
| 990.c4 |
990e2 |
990.c |
990e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.26 |
2Cs |
$1320$ |
$192$ |
$1$ |
$0.954420362$ |
$1$ |
|
$14$ |
$512$ |
$0.556248$ |
$46694890801/3920400$ |
$0.93791$ |
$4.51724$ |
$[1, -1, 0, -675, -6075]$ |
\(y^2+xy=x^3-x^2-675x-6075\) |
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, $\ldots$ |
$[(-15, 30)]$ |
| 990.c5 |
990e1 |
990.c |
990e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.11 |
2B |
$2640$ |
$192$ |
$1$ |
$1.908840725$ |
$1$ |
|
$5$ |
$256$ |
$0.209674$ |
$13651919/126720$ |
$0.92127$ |
$3.73048$ |
$[1, -1, 0, 45, -459]$ |
\(y^2+xy=x^3-x^2+45x-459\) |
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, $\ldots$ |
$[(15, 51)]$ |
| 990.c6 |
990e6 |
990.c |
990e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.96 |
2B |
$2640$ |
$192$ |
$1$ |
$0.238605090$ |
$1$ |
|
$10$ |
$2048$ |
$1.249395$ |
$13411719834479/32153832150$ |
$1.00277$ |
$5.50385$ |
$[1, -1, 0, 4455, 201771]$ |
\(y^2+xy=x^3-x^2+4455x+201771\) |
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, $\ldots$ |
$[(-27, 261)]$ |
| 990.d1 |
990d2 |
990.d |
990d |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3000$ |
$1.194382$ |
$-23178622194826561/1610510$ |
$1.01294$ |
$6.41861$ |
$[1, -1, 0, -53460, 4771030]$ |
\(y^2+xy=x^3-x^2-53460x+4771030\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 440.24.1.?, 1320.48.1.? |
$[ ]$ |
| 990.d2 |
990d1 |
990.d |
990d |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{5} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$600$ |
$0.389663$ |
$109902239/1100000$ |
$0.94438$ |
$4.04448$ |
$[1, -1, 0, 90, 1300]$ |
\(y^2+xy=x^3-x^2+90x+1300\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 440.24.1.?, 1320.48.1.? |
$[ ]$ |
| 990.e1 |
990b3 |
990.e |
990b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5184$ |
$1.421902$ |
$15781142246787/8722841600$ |
$1.10012$ |
$5.83924$ |
$[1, -1, 0, -14109, 140165]$ |
\(y^2+xy=x^3-x^2-14109x+140165\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cc.1.13, 66.48.0-66.b.1.3, $\ldots$ |
$[ ]$ |
| 990.e2 |
990b1 |
990.e |
990b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$1728$ |
$0.872596$ |
$5066026756449723/11000000$ |
$1.06053$ |
$5.72033$ |
$[1, -1, 0, -10734, 430740]$ |
\(y^2+xy=x^3-x^2-10734x+430740\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cc.1.15, 66.48.0-66.b.1.4, $\ldots$ |
$[ ]$ |
| 990.e3 |
990b2 |
990.e |
990b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{12} \cdot 11^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$3456$ |
$1.219170$ |
$-4898016158612283/236328125000$ |
$1.02528$ |
$5.72705$ |
$[1, -1, 0, -10614, 440748]$ |
\(y^2+xy=x^3-x^2-10614x+440748\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cb.1.15, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 990.e4 |
990b4 |
990.e |
990b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$1.768476$ |
$935355271080573/566899520000$ |
$1.07091$ |
$6.43105$ |
$[1, -1, 0, 55011, 1066373]$ |
\(y^2+xy=x^3-x^2+55011x+1066373\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cb.1.11, 88.6.0.?, $\ldots$ |
$[ ]$ |
| 990.f1 |
990f1 |
990.f |
990f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$-0.257799$ |
$-117649/440$ |
$0.93815$ |
$2.93968$ |
$[1, -1, 0, -9, -27]$ |
\(y^2+xy=x^3-x^2-9x-27\) |
3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? |
$[ ]$ |
| 990.f2 |
990f2 |
990.f |
990f |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2 \cdot 3^{6} \cdot 5^{3} \cdot 11^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$360$ |
$0.291507$ |
$80062991/332750$ |
$0.92204$ |
$3.85804$ |
$[1, -1, 0, 81, 675]$ |
\(y^2+xy=x^3-x^2+81x+675\) |
3.8.0-3.a.1.2, 440.2.0.?, 1320.16.0.? |
$[ ]$ |
| 990.g1 |
990g3 |
990.g |
990g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{16} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71680$ |
$2.805370$ |
$680995599504466943307169/52207031250000000$ |
$1.06496$ |
$8.91159$ |
$[1, -1, 0, -16496154, 25790683828]$ |
\(y^2+xy=x^3-x^2-16496154x+25790683828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 44.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 990.g2 |
990g2 |
990.g |
990g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{14} \cdot 3^{16} \cdot 5^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$35840$ |
$2.458797$ |
$201738262891771037089/45727545600000000$ |
$1.05036$ |
$7.73376$ |
$[1, -1, 0, -1099674, 346460980]$ |
\(y^2+xy=x^3-x^2-1099674x+346460980\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 44.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
| 990.g3 |
990g1 |
990.g |
990g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{28} \cdot 3^{11} \cdot 5^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17920$ |
$2.112225$ |
$7220044159551112609/448454983680000$ |
$1.03565$ |
$7.25097$ |
$[1, -1, 0, -362394, -79244492]$ |
\(y^2+xy=x^3-x^2-362394x-79244492\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$ |
$[ ]$ |
| 990.g4 |
990g4 |
990.g |
990g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{7} \cdot 3^{26} \cdot 5^{4} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71680$ |
$2.805370$ |
$2371297246710590562911/4084000833203280000$ |
$1.06688$ |
$8.18975$ |
$[1, -1, 0, 2500326, 2138540980]$ |
\(y^2+xy=x^3-x^2+2500326x+2138540980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[ ]$ |
| 990.h1 |
990j3 |
990.h |
990j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1.763038759$ |
$1$ |
|
$4$ |
$2048$ |
$0.985299$ |
$455129268177961/4392300$ |
$0.99488$ |
$5.84880$ |
$[1, -1, 1, -14423, -663069]$ |
\(y^2+xy+y=x^3-x^2-14423x-663069\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? |
$[(-69, 36)]$ |
| 990.h2 |
990j2 |
990.h |
990j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$0.881519379$ |
$1$ |
|
$14$ |
$1024$ |
$0.638726$ |
$119168121961/10890000$ |
$0.94576$ |
$4.65307$ |
$[1, -1, 1, -923, -9669]$ |
\(y^2+xy+y=x^3-x^2-923x-9669\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.3, 132.48.0.? |
$[(-19, 36)]$ |
| 990.h3 |
990j1 |
990.h |
990j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$0.440759689$ |
$1$ |
|
$17$ |
$512$ |
$0.292152$ |
$1263214441/211200$ |
$0.90751$ |
$3.99388$ |
$[1, -1, 1, -203, 987]$ |
\(y^2+xy+y=x^3-x^2-203x+987\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(5, 6)]$ |
| 990.h4 |
990j4 |
990.h |
990j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1.763038759$ |
$1$ |
|
$4$ |
$2048$ |
$0.985299$ |
$179310732119/1392187500$ |
$0.99500$ |
$5.07750$ |
$[1, -1, 1, 1057, -46893]$ |
\(y^2+xy+y=x^3-x^2+1057x-46893\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[(47, 300)]$ |
| 990.i1 |
990h1 |
990.i |
990h |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$264$ |
$96$ |
$1$ |
$1.893290678$ |
$1$ |
|
$3$ |
$5184$ |
$1.421902$ |
$5066026756449723/11000000$ |
$1.06053$ |
$6.67597$ |
$[1, -1, 1, -96608, -11533373]$ |
\(y^2+xy+y=x^3-x^2-96608x-11533373\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cc.1.13, 66.48.0-66.b.1.3, $\ldots$ |
$[(793, 19853)]$ |
| 990.i2 |
990h2 |
990.i |
990h |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{12} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$264$ |
$96$ |
$1$ |
$3.786581357$ |
$1$ |
|
$2$ |
$10368$ |
$1.768476$ |
$-4898016158612283/236328125000$ |
$1.02528$ |
$6.68269$ |
$[1, -1, 1, -95528, -11804669]$ |
\(y^2+xy+y=x^3-x^2-95528x-11804669\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cb.1.11, 88.6.0.?, $\ldots$ |
$[(1027, 30671)]$ |
| 990.i3 |
990h3 |
990.i |
990h |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$264$ |
$96$ |
$1$ |
$0.631096892$ |
$1$ |
|
$21$ |
$1728$ |
$0.872596$ |
$15781142246787/8722841600$ |
$1.10012$ |
$4.88361$ |
$[1, -1, 1, -1568, -4669]$ |
\(y^2+xy+y=x^3-x^2-1568x-4669\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cc.1.15, 66.48.0-66.b.1.4, $\ldots$ |
$[(-5, 57)]$ |
| 990.i4 |
990h4 |
990.i |
990h |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{4} \cdot 11^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$264$ |
$96$ |
$1$ |
$1.262193785$ |
$1$ |
|
$18$ |
$3456$ |
$1.219170$ |
$935355271080573/566899520000$ |
$1.07091$ |
$5.47541$ |
$[1, -1, 1, 6112, -41533]$ |
\(y^2+xy+y=x^3-x^2+6112x-41533\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cb.1.15, 88.6.0.?, $\ldots$ |
$[(13, 193)]$ |
| 990.j1 |
990k3 |
990.j |
990k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2 \cdot 3^{26} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5120$ |
$1.617290$ |
$7981893677157049/1917731420550$ |
$1.01586$ |
$6.26406$ |
$[1, -1, 1, -37472, -2125731]$ |
\(y^2+xy+y=x^3-x^2-37472x-2125731\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 990.j2 |
990k2 |
990.j |
990k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2560$ |
$1.270716$ |
$312341975961049/17862322500$ |
$0.99450$ |
$5.79422$ |
$[1, -1, 1, -12722, 527469]$ |
\(y^2+xy+y=x^3-x^2-12722x+527469\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[ ]$ |
| 990.j3 |
990k1 |
990.j |
990k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1280$ |
$0.924143$ |
$299270638153369/1069200$ |
$0.99274$ |
$5.78802$ |
$[1, -1, 1, -12542, 543741]$ |
\(y^2+xy+y=x^3-x^2-12542x+543741\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 990.j4 |
990k4 |
990.j |
990k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2 \cdot 3^{11} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5120$ |
$1.617290$ |
$116149984977671/2779502343750$ |
$1.04249$ |
$6.18687$ |
$[1, -1, 1, 9148, 2137101]$ |
\(y^2+xy+y=x^3-x^2+9148x+2137101\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 88.24.0.?, 264.48.0.? |
$[ ]$ |
| 990.k1 |
990i1 |
990.k |
990i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.152236$ |
$14348907/1100$ |
$1.07010$ |
$3.82253$ |
$[1, -1, 1, -137, -539]$ |
\(y^2+xy+y=x^3-x^2-137x-539\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[ ]$ |
| 990.k2 |
990i2 |
990.k |
990i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2 \cdot 3^{9} \cdot 5^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.498810$ |
$13312053/151250$ |
$0.94142$ |
$4.23570$ |
$[1, -1, 1, 133, -2591]$ |
\(y^2+xy+y=x^3-x^2+133x-2591\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[ ]$ |
| 990.l1 |
990l1 |
990.l |
990l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$840$ |
$0.502115$ |
$-76711450249/851840$ |
$0.93960$ |
$4.59196$ |
$[1, -1, 1, -797, -8539]$ |
\(y^2+xy+y=x^3-x^2-797x-8539\) |
3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? |
$[ ]$ |
| 990.l2 |
990l2 |
990.l |
990l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 11 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2520$ |
$1.051420$ |
$2882081488391/2883584000$ |
$0.98944$ |
$5.11492$ |
$[1, -1, 1, 2668, -45961]$ |
\(y^2+xy+y=x^3-x^2+2668x-45961\) |
3.8.0-3.a.1.2, 440.2.0.?, 1320.16.0.? |
$[ ]$ |
