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 |
350.a2 |
350c1 |
350.a |
350c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.217698566$ |
$1$ |
|
$6$ |
$24$ |
$-0.547172$ |
$397535/392$ |
$1.09655$ |
$2.75044$ |
$[1, 1, 0, 5, 5]$ |
\(y^2+xy=x^3+x^2+5x+5\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.? |
$[(1, 3)]$ |
350.e2 |
350b1 |
350.e |
350b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$120$ |
$0.257547$ |
$397535/392$ |
$1.09655$ |
$4.39891$ |
$[1, 0, 0, 112, 392]$ |
\(y^2+xy=x^3+112x+392\) |
3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8 |
$[]$ |
2450.m2 |
2450f1 |
2450.m |
2450f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.425784$ |
$397535/392$ |
$1.09655$ |
$3.56073$ |
$[1, 0, 1, 219, -1032]$ |
\(y^2+xy+y=x^3+219x-1032\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 105.8.0.?, 840.16.0.? |
$[]$ |
2450.x2 |
2450bf1 |
2450.x |
2450bf |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$1.230503$ |
$397535/392$ |
$1.09655$ |
$4.79815$ |
$[1, 1, 1, 5487, -128969]$ |
\(y^2+xy+y=x^3+x^2+5487x-128969\) |
3.4.0.a.1, 8.2.0.a.1, 21.8.0-3.a.1.1, 24.8.0.a.1, 168.16.0.? |
$[]$ |
2800.h2 |
2800z1 |
2800.h |
2800z |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \) |
\( - 2^{15} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$0.443902426$ |
$1$ |
|
$6$ |
$2880$ |
$0.950694$ |
$397535/392$ |
$1.09655$ |
$4.29441$ |
$[0, -1, 0, 1792, -25088]$ |
\(y^2=x^3-x^2+1792x-25088\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.a.1.5 |
$[(42, 350)]$ |
2800.x2 |
2800u1 |
2800.x |
2800u |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.422424637$ |
$1$ |
|
$4$ |
$576$ |
$0.145976$ |
$397535/392$ |
$1.09655$ |
$3.07780$ |
$[0, 1, 0, 72, -172]$ |
\(y^2=x^3+x^2+72x-172\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(22, 112)]$ |
3150.m2 |
3150u1 |
3150.m |
3150u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3600$ |
$0.806853$ |
$397535/392$ |
$1.09655$ |
$4.01733$ |
$[1, -1, 0, 1008, -10584]$ |
\(y^2+xy=x^3-x^2+1008x-10584\) |
3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6 |
$[]$ |
3150.x2 |
3150bh1 |
3150.x |
3150bh |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.613081924$ |
$1$ |
|
$4$ |
$720$ |
$0.002135$ |
$397535/392$ |
$1.09655$ |
$2.81852$ |
$[1, -1, 1, 40, -93]$ |
\(y^2+xy+y=x^3-x^2+40x-93\) |
3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.? |
$[(3, 5)]$ |
11200.bd2 |
11200bq1 |
11200.bd |
11200bq |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.054430069$ |
$1$ |
|
$4$ |
$23040$ |
$1.297268$ |
$397535/392$ |
$1.09655$ |
$4.10195$ |
$[0, -1, 0, 7167, 193537]$ |
\(y^2=x^3-x^2+7167x+193537\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 24.16.0-24.a.1.2 |
$[(1, 448)]$ |
11200.bg2 |
11200cm1 |
11200.bg |
11200cm |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.613002672$ |
$1$ |
|
$6$ |
$4608$ |
$0.492549$ |
$397535/392$ |
$1.09655$ |
$3.06624$ |
$[0, -1, 0, 287, -1663]$ |
\(y^2=x^3-x^2+287x-1663\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 30.8.0-3.a.1.1, 120.16.0.? |
$[(13, 64)]$ |
11200.ce2 |
11200e1 |
11200.ce |
11200e |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.308463575$ |
$1$ |
|
$2$ |
$4608$ |
$0.492549$ |
$397535/392$ |
$1.09655$ |
$3.06624$ |
$[0, 1, 0, 287, 1663]$ |
\(y^2=x^3+x^2+287x+1663\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.4, 120.16.0.? |
$[(-3, 28)]$ |
11200.cf2 |
11200cw1 |
11200.cf |
11200cw |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$3.648850165$ |
$1$ |
|
$2$ |
$23040$ |
$1.297268$ |
$397535/392$ |
$1.09655$ |
$4.10195$ |
$[0, 1, 0, 7167, -193537]$ |
\(y^2=x^3+x^2+7167x-193537\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.3 |
$[(34, 301)]$ |
19600.bf2 |
19600ck1 |
19600.bf |
19600ck |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$0.879072472$ |
$1$ |
|
$4$ |
$27648$ |
$1.118931$ |
$397535/392$ |
$1.09655$ |
$3.65315$ |
$[0, -1, 0, 3512, 66032]$ |
\(y^2=x^3-x^2+3512x+66032\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 420.8.0.?, 840.16.0.? |
$[(68, 784)]$ |
19600.co2 |
19600du1 |
19600.co |
19600du |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.923649$ |
$397535/392$ |
$1.09655$ |
$4.63022$ |
$[0, 1, 0, 87792, 8429588]$ |
\(y^2=x^3+x^2+87792x+8429588\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 84.8.0.?, 168.16.0.? |
$[]$ |
22050.m2 |
22050cp1 |
22050.m |
22050cp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.779808$ |
$397535/392$ |
$1.09655$ |
$4.40310$ |
$[1, -1, 0, 49383, 3531541]$ |
\(y^2+xy=x^3-x^2+49383x+3531541\) |
3.4.0.a.1, 8.2.0.a.1, 21.8.0-3.a.1.2, 24.8.0.a.1, 168.16.0.? |
$[]$ |
22050.dj2 |
22050ei1 |
22050.dj |
22050ei |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.975090$ |
$397535/392$ |
$1.09655$ |
$3.43754$ |
$[1, -1, 1, 1975, 27857]$ |
\(y^2+xy+y=x^3-x^2+1975x+27857\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 105.8.0.?, 840.16.0.? |
$[]$ |
25200.cm2 |
25200fb1 |
25200.cm |
25200fb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.500000$ |
$397535/392$ |
$1.09655$ |
$4.01377$ |
$[0, 0, 0, 16125, 661250]$ |
\(y^2=x^3+16125x+661250\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.a.1.7 |
$[]$ |
25200.fh2 |
25200en1 |
25200.fh |
25200en |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.695282$ |
$397535/392$ |
$1.09655$ |
$3.06094$ |
$[0, 0, 0, 645, 5290]$ |
\(y^2=x^3+645x+5290\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
42350.bf2 |
42350bl1 |
42350.bf |
42350bl |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$2.491281977$ |
$1$ |
|
$2$ |
$162000$ |
$1.456495$ |
$397535/392$ |
$1.09655$ |
$3.76919$ |
$[1, 0, 1, 13549, -508202]$ |
\(y^2+xy+y=x^3+13549x-508202\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 33.8.0-3.a.1.2, 264.16.0.? |
$[(202, 3136)]$ |
42350.cb2 |
42350ci1 |
42350.cb |
42350ci |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32400$ |
$0.651776$ |
$397535/392$ |
$1.09655$ |
$2.86278$ |
$[1, 1, 1, 542, -3849]$ |
\(y^2+xy+y=x^3+x^2+542x-3849\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 165.8.0.?, 1320.16.0.? |
$[]$ |
59150.u2 |
59150v1 |
59150.u |
59150v |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.540022$ |
$397535/392$ |
$1.09655$ |
$3.74580$ |
$[1, 0, 1, 18924, 842298]$ |
\(y^2+xy+y=x^3+18924x+842298\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 39.8.0-3.a.1.1, 312.16.0.? |
$[]$ |
59150.bl2 |
59150bw1 |
59150.bl |
59150bw |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$0.835446056$ |
$1$ |
|
$4$ |
$55296$ |
$0.735303$ |
$397535/392$ |
$1.09655$ |
$2.86695$ |
$[1, 1, 1, 757, 7041]$ |
\(y^2+xy+y=x^3+x^2+757x+7041\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 195.8.0.?, 1560.16.0.? |
$[(109, 1128)]$ |
78400.de2 |
78400bu1 |
78400.de |
78400bu |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.465504$ |
$397535/392$ |
$1.09655$ |
$3.57281$ |
$[0, -1, 0, 14047, -542303]$ |
\(y^2=x^3-x^2+14047x-542303\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 420.8.0.?, 840.16.0.? |
$[]$ |
78400.ef2 |
78400kn1 |
78400.ef |
78400kn |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$2.270222$ |
$397535/392$ |
$1.09655$ |
$4.42968$ |
$[0, -1, 0, 351167, 67085537]$ |
\(y^2=x^3-x^2+351167x+67085537\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 42.8.0-3.a.1.2, 168.16.0.? |
$[]$ |
78400.hj2 |
78400el1 |
78400.hj |
78400el |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.026904041$ |
$1$ |
|
$0$ |
$1105920$ |
$2.270222$ |
$397535/392$ |
$1.09655$ |
$4.42968$ |
$[0, 1, 0, 351167, -67085537]$ |
\(y^2=x^3+x^2+351167x-67085537\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 84.8.0.?, 168.16.0.? |
$[(1747/3, 78400/3)]$ |
78400.ij2 |
78400hk1 |
78400.ij |
78400hk |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$2.938079661$ |
$1$ |
|
$2$ |
$221184$ |
$1.465504$ |
$397535/392$ |
$1.09655$ |
$3.57281$ |
$[0, 1, 0, 14047, 542303]$ |
\(y^2=x^3+x^2+14047x+542303\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 210.8.0.?, 840.16.0.? |
$[(167, 2752)]$ |
100800.bo2 |
100800ox1 |
100800.bo |
100800ox |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.827768208$ |
$1$ |
|
$10$ |
$691200$ |
$1.846575$ |
$397535/392$ |
$1.09655$ |
$3.89179$ |
$[0, 0, 0, 64500, 5290000]$ |
\(y^2=x^3+64500x+5290000\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.1 |
$[(450, 11200), (-75, 175)]$ |
100800.gh2 |
100800dp1 |
100800.gh |
100800dp |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.041855$ |
$397535/392$ |
$1.09655$ |
$3.05360$ |
$[0, 0, 0, 2580, -42320]$ |
\(y^2=x^3+2580x-42320\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 60.8.0-3.a.1.3, 120.16.0.? |
$[]$ |
100800.kd2 |
100800nq1 |
100800.kd |
100800nq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.041855$ |
$397535/392$ |
$1.09655$ |
$3.05360$ |
$[0, 0, 0, 2580, 42320]$ |
\(y^2=x^3+2580x+42320\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 30.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
100800.og2 |
100800hz1 |
100800.og |
100800hz |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$1.846575$ |
$397535/392$ |
$1.09655$ |
$3.89179$ |
$[0, 0, 0, 64500, -5290000]$ |
\(y^2=x^3+64500x-5290000\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 24.16.0-24.a.1.4 |
$[]$ |
101150.ba2 |
101150s1 |
101150.ba |
101150s |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$0.869435$ |
$397535/392$ |
$1.09655$ |
$2.87315$ |
$[1, 0, 1, 1294, 15148]$ |
\(y^2+xy+y=x^3+1294x+15148\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 255.8.0.?, 2040.16.0.? |
$[]$ |
101150.bu2 |
101150cs1 |
101150.bu |
101150cs |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$3.888081458$ |
$1$ |
|
$2$ |
$604800$ |
$1.674154$ |
$397535/392$ |
$1.09655$ |
$3.71108$ |
$[1, 1, 1, 32362, 1893531]$ |
\(y^2+xy+y=x^3+x^2+32362x+1893531\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 51.8.0-3.a.1.2, 408.16.0.? |
$[(-41, 727)]$ |
126350.r2 |
126350bu1 |
126350.r |
126350bu |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$456$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$758160$ |
$1.729767$ |
$397535/392$ |
$1.09655$ |
$3.69761$ |
$[1, 1, 0, 40425, -2607875]$ |
\(y^2+xy=x^3+x^2+40425x-2607875\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 57.8.0-3.a.1.1, 456.16.0.? |
$[]$ |
126350.dm2 |
126350ck1 |
126350.dm |
126350ck |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$4.383503286$ |
$1$ |
|
$2$ |
$151632$ |
$0.925048$ |
$397535/392$ |
$1.09655$ |
$2.87555$ |
$[1, 0, 0, 1617, -20863]$ |
\(y^2+xy=x^3+1617x-20863\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 285.8.0.?, 2280.16.0.? |
$[(316, 5505)]$ |
176400.qh2 |
176400ch1 |
176400.qh |
176400ch |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.894452951$ |
$1$ |
|
$2$ |
$4147200$ |
$2.472958$ |
$397535/392$ |
$1.09655$ |
$4.33371$ |
$[0, 0, 0, 790125, -226808750]$ |
\(y^2=x^3+790125x-226808750\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 84.8.0.?, 168.16.0.? |
$[(6825, 568400)]$ |
176400.qt2 |
176400gl1 |
176400.qt |
176400gl |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.668238$ |
$397535/392$ |
$1.09655$ |
$3.53436$ |
$[0, 0, 0, 31605, -1814470]$ |
\(y^2=x^3+31605x-1814470\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 420.8.0.?, 840.16.0.? |
$[]$ |
185150.i2 |
185150bt1 |
185150.i |
185150bt |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$2.045754703$ |
$1$ |
|
$0$ |
$304128$ |
$1.020575$ |
$397535/392$ |
$1.09655$ |
$2.87947$ |
$[1, 1, 0, 2370, -36260]$ |
\(y^2+xy=x^3+x^2+2370x-36260\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 345.8.0.?, 2760.16.0.? |
$[(351/2, 7055/2)]$ |
185150.ce2 |
185150bc1 |
185150.ce |
185150bc |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$552$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1520640$ |
$1.825294$ |
$397535/392$ |
$1.09655$ |
$3.67564$ |
$[1, 0, 0, 59237, -4650983]$ |
\(y^2+xy=x^3+59237x-4650983\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 69.8.0-3.a.1.2, 552.16.0.? |
$[]$ |
294350.j2 |
294350j1 |
294350.j |
294350j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 29^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1.605378004$ |
$1$ |
|
$0$ |
$2903040$ |
$1.941195$ |
$397535/392$ |
$1.09655$ |
$3.65076$ |
$[1, 1, 0, 94175, 9372125]$ |
\(y^2+xy=x^3+x^2+94175x+9372125\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 87.8.0.?, 696.16.0.? |
$[(-185/3, 73865/3)]$ |
294350.cm2 |
294350cm1 |
294350.cm |
294350cm |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 29^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.136477$ |
$397535/392$ |
$1.09655$ |
$2.88391$ |
$[1, 0, 0, 3767, 74977]$ |
\(y^2+xy=x^3+3767x+74977\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 435.8.0.?, 3480.16.0.? |
$[]$ |
296450.bu2 |
296450bu1 |
296450.bu |
296450bu |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7776000$ |
$2.429451$ |
$397535/392$ |
$1.09655$ |
$4.11372$ |
$[1, 1, 0, 663925, 174977125]$ |
\(y^2+xy=x^3+x^2+663925x+174977125\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 231.8.0.?, 1848.16.0.? |
$[]$ |
296450.jg2 |
296450jg1 |
296450.jg |
296450jg |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$9240$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1555200$ |
$1.624731$ |
$397535/392$ |
$1.09655$ |
$3.34730$ |
$[1, 0, 0, 26557, 1399817]$ |
\(y^2+xy=x^3+26557x+1399817\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 1155.8.0.?, 9240.16.0.? |
$[]$ |
336350.y2 |
336350y1 |
336350.y |
336350y |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 31^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$725760$ |
$1.169823$ |
$397535/392$ |
$1.09655$ |
$2.88513$ |
$[1, 0, 1, 4304, -90842]$ |
\(y^2+xy+y=x^3+4304x-90842\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 465.8.0.?, 3720.16.0.? |
$[]$ |
336350.ca2 |
336350ca1 |
336350.ca |
336350ca |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 31^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{2} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1.056007158$ |
$1$ |
|
$4$ |
$3628800$ |
$1.974541$ |
$397535/392$ |
$1.09655$ |
$3.64394$ |
$[1, 1, 1, 107612, -11355219]$ |
\(y^2+xy+y=x^3+x^2+107612x-11355219\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 93.8.0.?, 744.16.0.? |
$[(3035, 166657)]$ |
338800.cw2 |
338800cw1 |
338800.cw |
338800cw |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1.247659424$ |
$1$ |
|
$4$ |
$3888000$ |
$2.149643$ |
$397535/392$ |
$1.09655$ |
$3.80688$ |
$[0, -1, 0, 216792, 32524912]$ |
\(y^2=x^3-x^2+216792x+32524912\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 132.8.0.?, 264.16.0.? |
$[(-108, 2800)]$ |
338800.gd2 |
338800gd1 |
338800.gd |
338800gd |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$5.237320409$ |
$1$ |
|
$0$ |
$777600$ |
$1.344923$ |
$397535/392$ |
$1.09655$ |
$3.04850$ |
$[0, 1, 0, 8672, 263668]$ |
\(y^2=x^3+x^2+8672x+263668\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 660.8.0.?, 1320.16.0.? |
$[(-44/3, 12698/3)]$ |
381150.gu2 |
381150gu1 |
381150.gu |
381150gu |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$972000$ |
$1.201082$ |
$397535/392$ |
$1.09655$ |
$2.88624$ |
$[1, -1, 0, 4878, 108796]$ |
\(y^2+xy=x^3-x^2+4878x+108796\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 165.8.0.?, 1320.16.0.? |
$[]$ |
381150.ke2 |
381150ke1 |
381150.ke |
381150ke |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$10.26631096$ |
$1$ |
|
$0$ |
$4860000$ |
$2.005802$ |
$397535/392$ |
$1.09655$ |
$3.63768$ |
$[1, -1, 1, 121945, 13721447]$ |
\(y^2+xy+y=x^3-x^2+121945x+13721447\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 33.8.0-3.a.1.1, 264.16.0.? |
$[(92833/11, 30941930/11)]$ |
414050.z2 |
414050z1 |
414050.z |
414050z |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1.226023580$ |
$1$ |
|
$4$ |
$13271040$ |
$2.512978$ |
$397535/392$ |
$1.09655$ |
$4.08495$ |
$[1, 1, 0, 927300, -287981000]$ |
\(y^2+xy=x^3+x^2+927300x-287981000\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 273.8.0.?, 2184.16.0.? |
$[(2085, 102470)]$ |
414050.gj2 |
414050gj1 |
414050.gj |
414050gj |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{2} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$10920$ |
$16$ |
$0$ |
$4.493721080$ |
$1$ |
|
$0$ |
$2654208$ |
$1.708258$ |
$397535/392$ |
$1.09655$ |
$3.33833$ |
$[1, 0, 0, 37092, -2303848]$ |
\(y^2+xy=x^3+37092x-2303848\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 1365.8.0.?, 10920.16.0.? |
$[(12034/3, 1315190/3)]$ |