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 |
170.e1 |
170c2 |
170.e |
170c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$252$ |
$1.089773$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 0, -6641, -215575]$ |
\(y^2+xy=x^3-6641x-215575\) |
3.8.0-3.a.1.1, 680.2.0.?, 2040.16.0.? |
$[]$ |
850.b1 |
850a2 |
850.b |
850a |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{15} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6048$ |
$1.894491$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 0, -166025, -26946875]$ |
\(y^2+xy=x^3+x^2-166025x-26946875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 408.8.0.?, 680.2.0.?, 2040.16.0.? |
$[]$ |
1360.d1 |
1360d2 |
1360.d |
1360d |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 17 \) |
\( - 2^{19} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6048$ |
$1.782919$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -106256, 13796800]$ |
\(y^2=x^3-x^2-106256x+13796800\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.? |
$[]$ |
1530.g1 |
1530g2 |
1530.g |
1530g |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7560$ |
$1.639078$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 0, -59769, 5820525]$ |
\(y^2+xy=x^3-x^2-59769x+5820525\) |
3.8.0-3.a.1.2, 680.2.0.?, 2040.16.0.? |
$[]$ |
2890.n1 |
2890q2 |
2890.n |
2890q |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.252728251$ |
$1$ |
|
$8$ |
$72576$ |
$2.506378$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 1, -1919255, -1057200723]$ |
\(y^2+xy+y=x^3+x^2-1919255x-1057200723\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(11527, 1222486)]$ |
5440.k1 |
5440e2 |
5440.k |
5440e |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 17 \) |
\( - 2^{25} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$2.129494$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -425025, -109949375]$ |
\(y^2=x^3-x^2-425025x-109949375\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[]$ |
5440.r1 |
5440u2 |
5440.r |
5440u |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 17 \) |
\( - 2^{25} \cdot 5^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.412617670$ |
$1$ |
|
$4$ |
$48384$ |
$2.129494$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -425025, 109949375]$ |
\(y^2=x^3+x^2-425025x+109949375\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 510.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(175, 6400)]$ |
6800.t1 |
6800r2 |
6800.t |
6800r |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17 \) |
\( - 2^{19} \cdot 5^{15} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1.089836473$ |
$1$ |
|
$4$ |
$145152$ |
$2.587639$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -2656408, 1719287188]$ |
\(y^2=x^3+x^2-2656408x+1719287188\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 408.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(1398, 27200)]$ |
7650.bo1 |
7650bv2 |
7650.bo |
7650bv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{15} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.960994561$ |
$1$ |
|
$4$ |
$181440$ |
$2.443798$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 1, -1494230, 726071397]$ |
\(y^2+xy+y=x^3-x^2-1494230x+726071397\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 408.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(-171, 31335)]$ |
8330.q1 |
8330y2 |
8330.q |
8330y |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$0.045820785$ |
$1$ |
|
$14$ |
$90720$ |
$2.062729$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 1, -325410, 73616815]$ |
\(y^2+xy+y=x^3+x^2-325410x+73616815\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 680.2.0.?, 2040.8.0.?, 14280.16.0.? |
$[(13, 8323)]$ |
12240.bj1 |
12240cg2 |
12240.bj |
12240cg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.560824221$ |
$1$ |
|
$4$ |
$181440$ |
$2.332226$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -956307, -371557294]$ |
\(y^2=x^3-956307x-371557294\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 680.2.0.?, 2040.16.0.? |
$[(1337, 27200)]$ |
14450.n1 |
14450c2 |
14450.n |
14450c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{15} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$18.97995785$ |
$1$ |
|
$0$ |
$1741824$ |
$3.311100$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 1, -47981376, -132054127602]$ |
\(y^2+xy+y=x^3-47981376x-132054127602\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 255.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(23310288748/1527, 2198341312023623/1527)]$ |
20570.c1 |
20570b2 |
20570.c |
20570b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{9} \cdot 11^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$2.279314047$ |
$1$ |
|
$2$ |
$362880$ |
$2.288719$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 1, -803564, 286126762]$ |
\(y^2+xy+y=x^3-803564x+286126762\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 680.2.0.?, 2040.8.0.?, 22440.16.0.? |
$[(208, 11209)]$ |
23120.be1 |
23120be2 |
23120.be |
23120be |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 17^{2} \) |
\( - 2^{19} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.933449883$ |
$1$ |
|
$4$ |
$1741824$ |
$3.199528$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -30708080, 67599430100]$ |
\(y^2=x^3+x^2-30708080x+67599430100\) |
3.4.0.a.1, 120.8.0.?, 204.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(3020, 49130)]$ |
26010.c1 |
26010l2 |
26010.c |
26010l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$3.055687$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 0, -17273295, 28527146221]$ |
\(y^2+xy=x^3-x^2-17273295x+28527146221\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[]$ |
27200.bc1 |
27200ci2 |
27200.bc |
27200ci |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{15} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1.351960355$ |
$1$ |
|
$2$ |
$1161216$ |
$2.934212$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -10625633, 13764923137]$ |
\(y^2=x^3-x^2-10625633x+13764923137\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(4752, 265625)]$ |
27200.bu1 |
27200u2 |
27200.bu |
27200u |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{15} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$2.934212$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -10625633, -13764923137]$ |
\(y^2=x^3+x^2-10625633x-13764923137\) |
3.4.0.a.1, 120.8.0.?, 204.8.0.?, 680.2.0.?, 2040.16.0.? |
$[]$ |
28730.o1 |
28730k2 |
28730.o |
28730k |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{9} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$589680$ |
$2.372246$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 1, -1122333, -472495944]$ |
\(y^2+xy+y=x^3-1122333x-472495944\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 680.2.0.?, 2040.8.0.?, 26520.16.0.? |
$[]$ |
41650.w1 |
41650g2 |
41650.w |
41650g |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{15} \cdot 7^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$2.867447$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 1, -8135251, 9218372398]$ |
\(y^2+xy+y=x^3-8135251x+9218372398\) |
3.4.0.a.1, 105.8.0.?, 680.2.0.?, 2040.8.0.?, 2856.8.0.?, $\ldots$ |
$[]$ |
48960.w1 |
48960ew2 |
48960.w |
48960ew |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.678799$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -3825228, -2972458352]$ |
\(y^2=x^3-3825228x-2972458352\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 510.8.0.?, 680.2.0.?, 2040.16.0.? |
$[]$ |
48960.cn1 |
48960cd2 |
48960.cn |
48960cd |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$3.090552921$ |
$1$ |
|
$2$ |
$1451520$ |
$2.678799$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -3825228, 2972458352]$ |
\(y^2=x^3-3825228x+2972458352\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[(3854, 213248)]$ |
61200.fu1 |
61200et2 |
61200.fu |
61200et |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{15} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$26.08561962$ |
$1$ |
|
$0$ |
$4354560$ |
$3.136944$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -23907675, -46444661750]$ |
\(y^2=x^3-23907675x-46444661750\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 408.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(78592316166135/19861, 696527131836686281250/19861)]$ |
61370.c1 |
61370d2 |
61370.c |
61370d |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 19^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$38760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1809864$ |
$2.561993$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 0, -2397408, 1473834112]$ |
\(y^2+xy=x^3+x^2-2397408x+1473834112\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 680.2.0.?, 2040.8.0.?, 38760.16.0.? |
$[]$ |
66640.cc1 |
66640cl2 |
66640.cc |
66640cl |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1.547475341$ |
$1$ |
|
$2$ |
$2177280$ |
$2.755875$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -5206560, -4721889292]$ |
\(y^2=x^3+x^2-5206560x-4721889292\) |
3.4.0.a.1, 84.8.0.?, 680.2.0.?, 2040.8.0.?, 14280.16.0.? |
$[(4111, 208250)]$ |
74970.o1 |
74970n2 |
74970.o |
74970n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$38.50535860$ |
$1$ |
|
$0$ |
$2721600$ |
$2.612034$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 0, -2928690, -1990582700]$ |
\(y^2+xy=x^3-x^2-2928690x-1990582700\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 680.2.0.?, 2040.8.0.?, 14280.16.0.? |
$[(281310616878705537/9424391, 118517128393186160668643234/9424391)]$ |
89930.bh1 |
89930bg2 |
89930.bh |
89930bg |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 23^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$46920$ |
$16$ |
$0$ |
$0.176463072$ |
$1$ |
|
$6$ |
$2993760$ |
$2.657520$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 0, -3513100, 2615874832]$ |
\(y^2+xy=x^3-3513100x+2615874832\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 680.2.0.?, 2040.8.0.?, 46920.16.0.? |
$[(3954, 222848)]$ |
92480.bp1 |
92480de2 |
92480.bp |
92480de |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
\( - 2^{25} \cdot 5^{9} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13934592$ |
$3.546101$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -122832321, 540918273121]$ |
\(y^2=x^3-x^2-122832321x+540918273121\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 408.8.0.?, 680.2.0.?, 2040.16.0.? |
$[]$ |
92480.ct1 |
92480g2 |
92480.ct |
92480g |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
\( - 2^{25} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$34.17556730$ |
$1$ |
|
$0$ |
$13934592$ |
$3.546101$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -122832321, -540918273121]$ |
\(y^2=x^3+x^2-122832321x-540918273121\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 408.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(81985193511838354/1624575, 21702447418953917139243067/1624575)]$ |
102850.co1 |
102850cb2 |
102850.co |
102850cb |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{15} \cdot 11^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$2.825981929$ |
$1$ |
|
$2$ |
$8709120$ |
$3.093441$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 1, -20089088, 35765845281]$ |
\(y^2+xy+y=x^3+x^2-20089088x+35765845281\) |
3.4.0.a.1, 165.8.0.?, 680.2.0.?, 2040.8.0.?, 4488.8.0.?, $\ldots$ |
$[(1645, 83877)]$ |
115600.ba1 |
115600bo2 |
115600.ba |
115600bo |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{19} \cdot 5^{15} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41803776$ |
$4.004242$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -767702008, 8451464166512]$ |
\(y^2=x^3-x^2-767702008x+8451464166512\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[]$ |
130050.gk1 |
130050ca2 |
130050.gk |
130050ca |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{15} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$4.391851366$ |
$1$ |
|
$2$ |
$52254720$ |
$3.860405$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 1, -431832380, 3565461445247]$ |
\(y^2+xy+y=x^3-x^2-431832380x+3565461445247\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 255.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(-15695, 2552781)]$ |
141610.cl1 |
141610z2 |
141610.cl |
141610z |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 7^{6} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$5.729324838$ |
$1$ |
|
$0$ |
$26127360$ |
$3.479336$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 0, -94043496, 362337717440]$ |
\(y^2+xy=x^3-94043496x+362337717440\) |
3.4.0.a.1, 357.8.0.?, 680.2.0.?, 840.8.0.?, 2040.8.0.?, $\ldots$ |
$[(23710/3, 9806330/3)]$ |
142970.c1 |
142970u2 |
142970.c |
142970u |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 29^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$59160$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6286896$ |
$2.773422$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 0, -5585098, -5246488492]$ |
\(y^2+xy=x^3+x^2-5585098x-5246488492\) |
3.4.0.a.1, 87.8.0.?, 680.2.0.?, 2040.8.0.?, 59160.16.0.? |
$[]$ |
143650.bf1 |
143650f2 |
143650.bf |
143650f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{15} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$3.693688718$ |
$1$ |
|
$2$ |
$14152320$ |
$3.176968$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 1, -28058313, -59061992969]$ |
\(y^2+xy+y=x^3+x^2-28058313x-59061992969\) |
3.4.0.a.1, 195.8.0.?, 680.2.0.?, 2040.8.0.?, 5304.8.0.?, $\ldots$ |
$[(21575, 3051712)]$ |
163370.n1 |
163370c2 |
163370.n |
163370c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63240$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7552440$ |
$2.806767$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 1, -6382021, 6403048779]$ |
\(y^2+xy+y=x^3+x^2-6382021x+6403048779\) |
3.4.0.a.1, 93.8.0.?, 680.2.0.?, 2040.8.0.?, 63240.16.0.? |
$[]$ |
164560.y1 |
164560s2 |
164560.y |
164560s |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{19} \cdot 5^{9} \cdot 11^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.981869$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -12857016, -18312112784]$ |
\(y^2=x^3-x^2-12857016x-18312112784\) |
3.4.0.a.1, 132.8.0.?, 680.2.0.?, 2040.8.0.?, 22440.16.0.? |
$[]$ |
185130.et1 |
185130g2 |
185130.et |
185130g |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 11^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$2.242384968$ |
$1$ |
|
$4$ |
$10886400$ |
$2.838028$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 1, -7232072, -7725422581]$ |
\(y^2+xy+y=x^3-x^2-7232072x-7725422581\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 680.2.0.?, 2040.8.0.?, 22440.16.0.? |
$[(3127, 13561)]$ |
208080.cv1 |
208080cp2 |
208080.cv |
208080cp |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{6} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$53.33276538$ |
$1$ |
|
$0$ |
$52254720$ |
$3.748833$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -276372723, -1825460985422]$ |
\(y^2=x^3-276372723x-1825460985422\) |
3.4.0.a.1, 120.8.0.?, 204.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(31305447716107939278452433/14094231907, 174139564924176434657642374670306476480/14094231907)]$ |
229840.p1 |
229840f2 |
229840.p |
229840f |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{19} \cdot 5^{9} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1.630359814$ |
$1$ |
|
$4$ |
$14152320$ |
$3.065395$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -17957320, 30239740400]$ |
\(y^2=x^3-x^2-17957320x+30239740400\) |
3.4.0.a.1, 156.8.0.?, 680.2.0.?, 2040.8.0.?, 26520.16.0.? |
$[(2740, 40000)]$ |
232730.h1 |
232730h2 |
232730.h |
232730h |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 37^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$75480$ |
$16$ |
$0$ |
$3.600389773$ |
$1$ |
|
$0$ |
$12519360$ |
$2.895233$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 1, -9091558, -10892245832]$ |
\(y^2+xy+y=x^3-9091558x-10892245832\) |
3.4.0.a.1, 111.8.0.?, 680.2.0.?, 2040.8.0.?, 75480.16.0.? |
$[(304426/3, 166818035/3)]$ |
244800.ey1 |
244800ey2 |
244800.ey |
244800ey |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{15} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34836480$ |
$3.483517$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -95630700, 371557294000]$ |
\(y^2=x^3-95630700x+371557294000\) |
3.4.0.a.1, 120.8.0.?, 204.8.0.?, 680.2.0.?, 2040.16.0.? |
$[]$ |
244800.od1 |
244800od2 |
244800.od |
244800od |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{15} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$43.85120303$ |
$1$ |
|
$0$ |
$34836480$ |
$3.483517$ |
$-32391289681150609/1228250000000$ |
$[0, 0, 0, -95630700, -371557294000]$ |
\(y^2=x^3-95630700x-371557294000\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(213949834880728209866/121601677, 2029387606654452904252145236736/121601677)]$ |
258570.dg1 |
258570dg2 |
258570.dg |
258570dg |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$26520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17690400$ |
$2.921555$ |
$-32391289681150609/1228250000000$ |
$[1, -1, 1, -10100993, 12757390481]$ |
\(y^2+xy+y=x^3-x^2-10100993x+12757390481\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 680.2.0.?, 2040.8.0.?, 26520.16.0.? |
$[]$ |
266560.bp1 |
266560bp2 |
266560.bp |
266560bp |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17418240$ |
$3.102448$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -20826241, -37754288095]$ |
\(y^2=x^3-x^2-20826241x-37754288095\) |
3.4.0.a.1, 168.8.0.?, 680.2.0.?, 2040.8.0.?, 3570.8.0.?, $\ldots$ |
$[]$ |
266560.fh1 |
266560fh2 |
266560.fh |
266560fh |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{9} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$4.862746621$ |
$1$ |
|
$2$ |
$17418240$ |
$3.102448$ |
$-32391289681150609/1228250000000$ |
$[0, 1, 0, -20826241, 37754288095]$ |
\(y^2=x^3+x^2-20826241x+37754288095\) |
3.4.0.a.1, 168.8.0.?, 680.2.0.?, 2040.8.0.?, 7140.8.0.?, $\ldots$ |
$[(11769, 1192856)]$ |
285770.t1 |
285770t2 |
285770.t |
285770t |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 41^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$83640$ |
$16$ |
$0$ |
$4.295247556$ |
$1$ |
|
$2$ |
$17418240$ |
$2.946560$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 1, -11163556, -14824153947]$ |
\(y^2+xy+y=x^3+x^2-11163556x-14824153947\) |
3.4.0.a.1, 123.8.0.?, 680.2.0.?, 2040.8.0.?, 83640.16.0.? |
$[(6153, 383553)]$ |
306850.dw1 |
306850dw2 |
306850.dw |
306850dw |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17 \cdot 19^{2} \) |
\( - 2^{7} \cdot 5^{15} \cdot 17^{3} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$38760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43436736$ |
$3.366711$ |
$-32391289681150609/1228250000000$ |
$[1, 0, 0, -59935213, 184349134417]$ |
\(y^2+xy=x^3-59935213x+184349134417\) |
3.4.0.a.1, 285.8.0.?, 680.2.0.?, 2040.8.0.?, 7752.8.0.?, $\ldots$ |
$[]$ |
314330.d1 |
314330d2 |
314330.d |
314330d |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \cdot 43^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$87720$ |
$16$ |
$0$ |
$1.284105294$ |
$1$ |
|
$4$ |
$19432224$ |
$2.970371$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 0, -12279247, 17090604581]$ |
\(y^2+xy=x^3+x^2-12279247x+17090604581\) |
3.4.0.a.1, 129.8.0.?, 680.2.0.?, 2040.8.0.?, 87720.16.0.? |
$[(2017, 22104)]$ |
333200.cc1 |
333200cc2 |
333200.cc |
333200cc |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 5^{15} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$5.490531631$ |
$1$ |
|
$2$ |
$52254720$ |
$3.560593$ |
$-32391289681150609/1228250000000$ |
$[0, -1, 0, -130164008, -589975833488]$ |
\(y^2=x^3-x^2-130164008x-589975833488\) |
3.4.0.a.1, 420.8.0.?, 680.2.0.?, 2040.8.0.?, 2856.8.0.?, $\ldots$ |
$[(16196, 1244992)]$ |
349690.l1 |
349690l2 |
349690.l |
349690l |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 11^{6} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$2.584511883$ |
$1$ |
|
$0$ |
$104509440$ |
$3.705326$ |
$-32391289681150609/1228250000000$ |
$[1, 1, 0, -232229857, 1405973012789]$ |
\(y^2+xy=x^3+x^2-232229857x+1405973012789\) |
3.4.0.a.1, 561.8.0.?, 680.2.0.?, 1320.8.0.?, 2040.8.0.?, $\ldots$ |
$[(97657/3, 10781327/3)]$ |