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 |
390.a4 |
390a4 |
390.a |
390a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1.175373745$ |
$1$ |
|
$4$ |
$128$ |
$0.227033$ |
$99317171591/106616250$ |
$[1, 1, 0, 97, -297]$ |
\(y^2+xy=x^3+x^2+97x-297\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 52.12.0-4.c.1.1, $\ldots$ |
$[(9, 33)]$ |
1170.m4 |
1170m4 |
1170.m |
1170m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.776339$ |
$99317171591/106616250$ |
$[1, -1, 1, 868, 8889]$ |
\(y^2+xy+y=x^3-x^2+868x+8889\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
1950.y4 |
1950w4 |
1950.y |
1950w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$1.031752$ |
$99317171591/106616250$ |
$[1, 0, 0, 2412, -41958]$ |
\(y^2+xy=x^3+2412x-41958\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 104.24.0.?, $\ldots$ |
$[]$ |
3120.q4 |
3120u4 |
3120.q |
3120u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$0.377708926$ |
$1$ |
|
$11$ |
$3072$ |
$0.920179$ |
$99317171591/106616250$ |
$[0, 1, 0, 1544, 22100]$ |
\(y^2=x^3+x^2+1544x+22100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 52.12.0-4.c.1.2, $\ldots$ |
$[(14, 216)]$ |
5070.s4 |
5070q4 |
5070.s |
5070q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$2.254915115$ |
$1$ |
|
$0$ |
$21504$ |
$1.509508$ |
$99317171591/106616250$ |
$[1, 1, 1, 16305, -734193]$ |
\(y^2+xy+y=x^3+x^2+16305x-734193\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 104.24.0.?, 520.48.0.? |
$[(423/2, 11403/2)]$ |
5850.m4 |
5850n4 |
5850.m |
5850n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2 \cdot 3^{14} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$2.255291854$ |
$1$ |
|
$4$ |
$24576$ |
$1.581059$ |
$99317171591/106616250$ |
$[1, -1, 0, 21708, 1132866]$ |
\(y^2+xy=x^3-x^2+21708x+1132866\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(109, 2133)]$ |
9360.bn4 |
9360bs4 |
9360.bn |
9360bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.469486$ |
$99317171591/106616250$ |
$[0, 0, 0, 13893, -582806]$ |
\(y^2=x^3+13893x-582806\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
12480.bi4 |
12480ce4 |
12480.bi |
12480ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.266754$ |
$99317171591/106616250$ |
$[0, -1, 0, 6175, 170625]$ |
\(y^2=x^3-x^2+6175x+170625\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 104.24.0.?, 520.48.0.? |
$[]$ |
12480.cv4 |
12480bi4 |
12480.cv |
12480bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.266754$ |
$99317171591/106616250$ |
$[0, 1, 0, 6175, -170625]$ |
\(y^2=x^3+x^2+6175x-170625\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 104.24.0.?, 520.48.0.? |
$[]$ |
15210.g4 |
15210h4 |
15210.g |
15210h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172032$ |
$2.058815$ |
$99317171591/106616250$ |
$[1, -1, 0, 146745, 19969951]$ |
\(y^2+xy=x^3-x^2+146745x+19969951\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
15600.p4 |
15600bf4 |
15600.p |
15600bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$3.779043714$ |
$1$ |
|
$3$ |
$73728$ |
$1.724899$ |
$99317171591/106616250$ |
$[0, -1, 0, 38592, 2685312]$ |
\(y^2=x^3-x^2+38592x+2685312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 104.24.0.?, $\ldots$ |
$[(666, 17982)]$ |
19110.bg4 |
19110bh4 |
19110.bg |
19110bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$0.337910184$ |
$1$ |
|
$8$ |
$49152$ |
$1.199987$ |
$99317171591/106616250$ |
$[1, 0, 1, 4727, 116078]$ |
\(y^2+xy+y=x^3+4727x+116078\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(4, 365)]$ |
25350.bk4 |
25350x3 |
25350.bk |
25350x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$2.314228$ |
$99317171591/106616250$ |
$[1, 0, 1, 407624, -92589352]$ |
\(y^2+xy+y=x^3+407624x-92589352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.16, $\ldots$ |
$[]$ |
37440.bp4 |
37440ed3 |
37440.bp |
37440ed |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{19} \cdot 3^{14} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.816059$ |
$99317171591/106616250$ |
$[0, 0, 0, 55572, -4662448]$ |
\(y^2=x^3+55572x-4662448\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
37440.bq4 |
37440bl3 |
37440.bq |
37440bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{19} \cdot 3^{14} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$5.528930256$ |
$1$ |
|
$1$ |
$196608$ |
$1.816059$ |
$99317171591/106616250$ |
$[0, 0, 0, 55572, 4662448]$ |
\(y^2=x^3+55572x+4662448\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(6257/2, 500823/2)]$ |
40560.cp4 |
40560cq3 |
40560.cp |
40560cq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$516096$ |
$2.202656$ |
$99317171591/106616250$ |
$[0, 1, 0, 260880, 47510100]$ |
\(y^2=x^3+x^2+260880x+47510100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 104.24.0.?, 520.48.0.? |
$[]$ |
46800.db4 |
46800dq3 |
46800.db |
46800dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.274204$ |
$99317171591/106616250$ |
$[0, 0, 0, 347325, -72850750]$ |
\(y^2=x^3+347325x-72850750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
47190.bt4 |
47190br3 |
47190.bt |
47190br |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$184320$ |
$1.425980$ |
$99317171591/106616250$ |
$[1, 1, 1, 11674, 453773]$ |
\(y^2+xy+y=x^3+x^2+11674x+453773\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
57330.du4 |
57330eh3 |
57330.du |
57330eh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$5.047943907$ |
$1$ |
|
$0$ |
$393216$ |
$1.749294$ |
$99317171591/106616250$ |
$[1, -1, 1, 42547, -3134113]$ |
\(y^2+xy+y=x^3-x^2+42547x-3134113\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 168.12.0.?, $\ldots$ |
$[(463/2, 14135/2)]$ |
62400.cq4 |
62400b3 |
62400.cq |
62400b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$8.758545980$ |
$1$ |
|
$1$ |
$589824$ |
$2.071472$ |
$99317171591/106616250$ |
$[0, -1, 0, 154367, -21636863]$ |
\(y^2=x^3-x^2+154367x-21636863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(19336/11, 3543183/11)]$ |
62400.fr4 |
62400gc3 |
62400.fr |
62400gc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1.298823721$ |
$1$ |
|
$7$ |
$589824$ |
$2.071472$ |
$99317171591/106616250$ |
$[0, 1, 0, 154367, 21636863]$ |
\(y^2=x^3+x^2+154367x+21636863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[(-97, 2400)]$ |
76050.ev4 |
76050ec3 |
76050.ev |
76050ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{14} \cdot 5^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$13.72230041$ |
$1$ |
|
$0$ |
$4128768$ |
$2.863533$ |
$99317171591/106616250$ |
$[1, -1, 1, 3668620, 2499912497]$ |
\(y^2+xy+y=x^3-x^2+3668620x+2499912497\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(21198691/38, 98063254935/38)]$ |
95550.hd4 |
95550gj3 |
95550.hd |
95550gj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5^{10} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$4.809062784$ |
$1$ |
|
$0$ |
$1179648$ |
$2.004707$ |
$99317171591/106616250$ |
$[1, 1, 1, 118187, 14509781]$ |
\(y^2+xy+y=x^3+x^2+118187x+14509781\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[(2055/2, 114191/2)]$ |
112710.bl4 |
112710bi3 |
112710.bl |
112710bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$0.910129559$ |
$1$ |
|
$6$ |
$589824$ |
$1.643639$ |
$99317171591/106616250$ |
$[1, 0, 1, 27882, -1654694]$ |
\(y^2+xy+y=x^3+27882x-1654694\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(92, 1254)]$ |
121680.bj4 |
121680dd3 |
121680.bj |
121680dd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$2.710684002$ |
$1$ |
|
$5$ |
$4128768$ |
$2.751961$ |
$99317171591/106616250$ |
$[0, 0, 0, 2347917, -1280424782]$ |
\(y^2=x^3+2347917x-1280424782\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(737, 29160)]$ |
140790.ck4 |
140790q4 |
140790.ck |
140790q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9880$ |
$48$ |
$0$ |
$5.571684279$ |
$1$ |
|
$0$ |
$921600$ |
$1.699251$ |
$99317171591/106616250$ |
$[1, 0, 0, 34829, 2316251]$ |
\(y^2+xy=x^3+34829x+2316251\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 152.12.0.?, $\ldots$ |
$[(4661/4, 381053/4)]$ |
141570.cc4 |
141570da3 |
141570.cc |
141570da |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$3.575656982$ |
$1$ |
|
$4$ |
$1474560$ |
$1.975286$ |
$99317171591/106616250$ |
$[1, -1, 0, 105066, -12146810]$ |
\(y^2+xy=x^3-x^2+105066x-12146810\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 264.12.0.?, $\ldots$ |
$[(135, 2050)]$ |
152880.dt4 |
152880dg3 |
152880.dt |
152880dg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1.117117577$ |
$1$ |
|
$7$ |
$1179648$ |
$1.893135$ |
$99317171591/106616250$ |
$[0, -1, 0, 75640, -7429008]$ |
\(y^2=x^3-x^2+75640x-7429008\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(124, 1960)]$ |
162240.u4 |
162240ds4 |
162240.u |
162240ds |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.549229$ |
$99317171591/106616250$ |
$[0, -1, 0, 1043519, 379037281]$ |
\(y^2=x^3-x^2+1043519x+379037281\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.3, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
162240.fj4 |
162240gg3 |
162240.fj |
162240gg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.549229$ |
$99317171591/106616250$ |
$[0, 1, 0, 1043519, -379037281]$ |
\(y^2=x^3+x^2+1043519x-379037281\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.11, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
187200.hx4 |
187200mk4 |
187200.hx |
187200mk |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{14} \cdot 5^{10} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$7.325753874$ |
$1$ |
|
$13$ |
$4718592$ |
$2.620777$ |
$99317171591/106616250$ |
$[0, 0, 0, 1389300, 582806000]$ |
\(y^2=x^3+1389300x+582806000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(-130, 20000), (245, 30625)]$ |
187200.hy4 |
187200en3 |
187200.hy |
187200en |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{14} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$8.259380038$ |
$1$ |
|
$1$ |
$4718592$ |
$2.620777$ |
$99317171591/106616250$ |
$[0, 0, 0, 1389300, -582806000]$ |
\(y^2=x^3+1389300x-582806000\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(94289/4, 29485863/4)]$ |
202800.da4 |
202800fp4 |
202800.da |
202800fp |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12386304$ |
$3.007374$ |
$99317171591/106616250$ |
$[0, -1, 0, 6521992, 5925718512]$ |
\(y^2=x^3-x^2+6521992x+5925718512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.8, $\ldots$ |
$[]$ |
206310.n4 |
206310ce4 |
206310.n |
206310ce |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11960$ |
$48$ |
$0$ |
$4.824108514$ |
$1$ |
|
$0$ |
$1576960$ |
$1.794779$ |
$99317171591/106616250$ |
$[1, 1, 0, 51038, 4124854]$ |
\(y^2+xy=x^3+x^2+51038x+4124854\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 184.12.0.?, $\ldots$ |
$[(31/2, 16979/2)]$ |
235950.dd4 |
235950dd4 |
235950.dd |
235950dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5^{10} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5720$ |
$48$ |
$0$ |
$2.506220317$ |
$1$ |
|
$4$ |
$4423680$ |
$2.230698$ |
$99317171591/106616250$ |
$[1, 0, 1, 291849, 56137948]$ |
\(y^2+xy+y=x^3+291849x+56137948\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(98, 9207)]$ |
248430.in4 |
248430in4 |
248430.in |
248430in |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8257536$ |
$2.482464$ |
$99317171591/106616250$ |
$[1, 0, 0, 798944, 254224970]$ |
\(y^2+xy=x^3+798944x+254224970\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
286650.dy4 |
286650dy3 |
286650.dy |
286650dy |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2 \cdot 3^{14} \cdot 5^{10} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.885175956$ |
$1$ |
|
$4$ |
$9437184$ |
$2.554012$ |
$99317171591/106616250$ |
$[1, -1, 0, 1063683, -390700409]$ |
\(y^2+xy=x^3-x^2+1063683x-390700409\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 168.12.0.?, $\ldots$ |
$[(515, 16874)]$ |
327990.bl4 |
327990bl3 |
327990.bl |
327990bl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15080$ |
$48$ |
$0$ |
$10.42845462$ |
$1$ |
|
$0$ |
$2867200$ |
$1.910681$ |
$99317171591/106616250$ |
$[1, 0, 0, 81139, -8218965]$ |
\(y^2+xy=x^3+81139x-8218965\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 232.12.0.?, $\ldots$ |
$[(975499/6, 960605521/6)]$ |
338130.cr4 |
338130cr4 |
338130.cr |
338130cr |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$26520$ |
$48$ |
$0$ |
$7.599971668$ |
$1$ |
|
$0$ |
$4718592$ |
$2.192944$ |
$99317171591/106616250$ |
$[1, -1, 1, 250942, 44676731]$ |
\(y^2+xy+y=x^3-x^2+250942x+44676731\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 408.12.0.?, $\ldots$ |
$[(445/4, 459153/4)]$ |
374790.bm4 |
374790bm4 |
374790.bm |
374790bm |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3932160$ |
$1.944027$ |
$99317171591/106616250$ |
$[1, 0, 1, 92716, 10055396]$ |
\(y^2+xy+y=x^3+92716x+10055396\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
377520.fc4 |
377520fc3 |
377520.fc |
377520fc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{4} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5720$ |
$48$ |
$0$ |
$4.412347171$ |
$1$ |
|
$3$ |
$4423680$ |
$2.119129$ |
$99317171591/106616250$ |
$[0, 1, 0, 186784, -28667916]$ |
\(y^2=x^3+x^2+186784x-28667916\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(4495, 302742)]$ |
422370.ck4 |
422370ck3 |
422370.ck |
422370ck |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$29640$ |
$48$ |
$0$ |
$6.702108179$ |
$1$ |
|
$0$ |
$7372800$ |
$2.248558$ |
$99317171591/106616250$ |
$[1, -1, 0, 313461, -62538777]$ |
\(y^2+xy=x^3-x^2+313461x-62538777\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 456.12.0.?, $\ldots$ |
$[(12547/3, 1480232/3)]$ |
458640.dp4 |
458640dp4 |
458640.dp |
458640dp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{4} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$3.132120738$ |
$1$ |
|
$5$ |
$9437184$ |
$2.442440$ |
$99317171591/106616250$ |
$[0, 0, 0, 680757, 199902458]$ |
\(y^2=x^3+680757x+199902458\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 104.12.0.?, 168.12.0.?, $\ldots$ |
$[(463, 24786)]$ |
486720.mv4 |
486720mv3 |
486720.mv |
486720mv |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{14} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.098534$ |
$99317171591/106616250$ |
$[0, 0, 0, 9391668, -10243398256]$ |
\(y^2=x^3+9391668x-10243398256\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
486720.mw4 |
486720mw4 |
486720.mw |
486720mw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{14} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.346136342$ |
$1$ |
|
$3$ |
$33030144$ |
$3.098534$ |
$99317171591/106616250$ |
$[0, 0, 0, 9391668, 10243398256]$ |
\(y^2=x^3+9391668x+10243398256\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(64622, 16446240)]$ |