| 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 |
| 6006.p3 |
6006r2 |
6006.p |
6006r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$24024$ |
$96$ |
$1$ |
$3.687386825$ |
$1$ |
|
$6$ |
$6912$ |
$0.833850$ |
$501796540869625/113170859802$ |
$0.92330$ |
$3.89048$ |
$[1, 0, 1, -1656, 20116]$ |
\(y^2+xy+y=x^3-1656x+20116\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 168.48.0.?, 572.6.0.?, $\ldots$ |
$[(34, 41)]$ |
| 18018.bg3 |
18018bm2 |
18018.bg |
18018bm |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$24024$ |
$96$ |
$1$ |
$9.169865498$ |
$1$ |
|
$0$ |
$55296$ |
$1.383156$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.12699$ |
$[1, -1, 1, -14900, -543139]$ |
\(y^2+xy+y=x^3-x^2-14900x-543139\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 168.48.0.?, 572.6.0.?, $\ldots$ |
$[(22119/10, 2524483/10)]$ |
| 42042.m3 |
42042p2 |
42042.m |
42042p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 7^{7} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$2.198357009$ |
$1$ |
|
$4$ |
$331776$ |
$1.806805$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.27605$ |
$[1, 1, 0, -81120, -6980994]$ |
\(y^2+xy=x^3+x^2-81120x-6980994\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$ |
$[(-133, 1282)]$ |
| 48048.p3 |
48048be2 |
48048.p |
48048be |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$5.640992164$ |
$1$ |
|
$3$ |
$165888$ |
$1.526997$ |
$501796540869625/113170859802$ |
$0.92330$ |
$3.91161$ |
$[0, -1, 0, -26488, -1287440]$ |
\(y^2=x^3-x^2-26488x-1287440\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 168.48.0.?, $\ldots$ |
$[(474, 9614)]$ |
| 66066.cr3 |
66066ci2 |
66066.cr |
66066ci |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$829440$ |
$2.032799$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.34626$ |
$[1, 0, 0, -200318, -26975046]$ |
\(y^2+xy=x^3-200318x-26975046\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 66.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 78078.da3 |
78078ct2 |
78078.da |
78078ct |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$7.094412019$ |
$1$ |
|
$0$ |
$1161216$ |
$2.116325$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.37078$ |
$[1, 0, 0, -279783, 44475183]$ |
\(y^2+xy=x^3-279783x+44475183\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 78.24.0.?, $\ldots$ |
$[(2163/2, 55179/2)]$ |
| 126126.el3 |
126126er2 |
126126.el |
126126er |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 7^{7} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$2.356110$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.43731$ |
$[1, -1, 1, -730085, 187756755]$ |
\(y^2+xy+y=x^3-x^2-730085x+187756755\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$ |
$[]$ |
| 144144.ch3 |
144144x2 |
144144.ch |
144144x |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{9} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$0.556810948$ |
$1$ |
|
$9$ |
$1327104$ |
$2.076305$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.10476$ |
$[0, 0, 0, -238395, 34999274]$ |
\(y^2=x^3-238395x+34999274\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 168.48.0.?, $\ldots$ |
$[(133, 2376)]$ |
| 150150.dy3 |
150150cu2 |
150150.dy |
150150cu |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 5^{6} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$96$ |
$1$ |
$3.589958089$ |
$1$ |
|
$0$ |
$995328$ |
$1.638569$ |
$501796540869625/113170859802$ |
$0.92330$ |
$3.65001$ |
$[1, 1, 1, -41388, 2514531]$ |
\(y^2+xy+y=x^3+x^2-41388x+2514531\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(759/2, 9159/2)]$ |
| 192192.cc3 |
192192hg2 |
192192.cc |
192192hg |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.873571$ |
$501796540869625/113170859802$ |
$0.92330$ |
$3.80774$ |
$[0, -1, 0, -105953, 10405473]$ |
\(y^2=x^3-x^2-105953x+10405473\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 192192.fy3 |
192192x2 |
192192.fy |
192192x |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{3} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1.626880859$ |
$1$ |
|
$17$ |
$1327104$ |
$1.873571$ |
$501796540869625/113170859802$ |
$0.92330$ |
$3.80774$ |
$[0, 1, 0, -105953, -10405473]$ |
\(y^2=x^3+x^2-105953x-10405473\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 84.24.0.?, $\ldots$ |
$[(-137, 1248), (439, 5280)]$ |
| 198198.x3 |
198198dk2 |
198198.x |
198198dk |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 7 \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$6.199501480$ |
$1$ |
|
$2$ |
$6635520$ |
$2.582104$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.49522$ |
$[1, -1, 0, -1802862, 728326242]$ |
\(y^2+xy=x^3-x^2-1802862x+728326242\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 66.24.0-6.a.1.1, $\ldots$ |
$[(1269, 21339)]$ |
| 234234.bi3 |
234234bi2 |
234234.bi |
234234bi |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{9} \cdot 7 \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$3.634744801$ |
$1$ |
|
$2$ |
$9289728$ |
$2.665630$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.51555$ |
$[1, -1, 0, -2518047, -1200829941]$ |
\(y^2+xy=x^3-x^2-2518047x-1200829941\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 78.24.0.?, $\ldots$ |
$[(1911, 30081)]$ |
| 336336.gd3 |
336336gd2 |
336336.gd |
336336gd |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{3} \cdot 7^{7} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.499954$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.23095$ |
$[0, 1, 0, -1297928, 444187764]$ |
\(y^2=x^3+x^2-1297928x+444187764\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 84.24.0.?, $\ldots$ |
$[]$ |
| 450450.d3 |
450450d2 |
450450.d |
450450d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 5^{6} \cdot 7 \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7962624$ |
$2.187874$ |
$501796540869625/113170859802$ |
$0.92330$ |
$3.84833$ |
$[1, -1, 0, -372492, -68264834]$ |
\(y^2+xy=x^3-x^2-372492x-68264834\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 462462.gk3 |
462462gk2 |
462462.gk |
462462gk |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 7^{7} \cdot 11^{12} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$96$ |
$1$ |
$9.036666736$ |
$1$ |
|
$0$ |
$39813120$ |
$3.005753$ |
$501796540869625/113170859802$ |
$0.92330$ |
$4.59296$ |
$[1, 1, 1, -9815583, 9242625195]$ |
\(y^2+xy+y=x^3+x^2-9815583x+9242625195\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 168.24.0.?, 231.8.0.?, $\ldots$ |
$[(-221431/8, 22616463/8)]$ |
