| 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 |
| 4290.p3 |
4290o2 |
4290.p |
4290o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$8580$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$13824$ |
$1.377567$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.06261$ |
$[1, 0, 1, -28098, -1802744]$ |
\(y^2+xy+y=x^3-28098x-1802744\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 156.48.0.?, 220.6.0.?, $\ldots$ |
$[]$ |
| 12870.bp3 |
12870bw2 |
12870.bp |
12870bw |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$8580$ |
$96$ |
$1$ |
$1.490446727$ |
$1$ |
|
$4$ |
$110592$ |
$1.926874$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.17144$ |
$[1, -1, 1, -252878, 48674081]$ |
\(y^2+xy+y=x^3-x^2-252878x+48674081\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 156.48.0.?, 220.6.0.?, $\ldots$ |
$[(313, 181)]$ |
| 21450.br3 |
21450bo2 |
21450.br |
21450bo |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$2.182285$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.21388$ |
$[1, 1, 1, -702438, -225342969]$ |
\(y^2+xy+y=x^3+x^2-702438x-225342969\) |
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, $\ldots$ |
$[]$ |
| 34320.q3 |
34320bm2 |
34320.q |
34320bm |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$0.839764920$ |
$1$ |
|
$7$ |
$331776$ |
$2.070717$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.85103$ |
$[0, -1, 0, -449560, 115375600]$ |
\(y^2=x^3-x^2-449560x+115375600\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 156.48.0.?, $\ldots$ |
$[(10, 10530)]$ |
| 47190.cr3 |
47190cz2 |
47190.cr |
47190cz |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1.500046900$ |
$1$ |
|
$4$ |
$1658880$ |
$2.576515$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.27148$ |
$[1, 0, 0, -3399800, 2396052132]$ |
\(y^2+xy=x^3-3399800x+2396052132\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0-6.a.1.1, $\ldots$ |
$[(-656, 66238)]$ |
| 55770.cp3 |
55770cs2 |
55770.cp |
55770cs |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2322432$ |
$2.660042$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.28261$ |
$[1, 0, 0, -4748481, -3955879539]$ |
\(y^2+xy=x^3-4748481x-3955879539\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 64350.t3 |
64350bm2 |
64350.t |
64350bm |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{9} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$2.879379287$ |
$1$ |
|
$4$ |
$2654208$ |
$2.731594$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.29188$ |
$[1, -1, 0, -6321942, 6077938216]$ |
\(y^2+xy=x^3-x^2-6321942x+6077938216\) |
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, $\ldots$ |
$[(-295, 89126)]$ |
| 102960.o3 |
102960di2 |
102960.o |
102960di |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$8.219656148$ |
$1$ |
|
$11$ |
$2654208$ |
$2.620022$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.96039$ |
$[0, 0, 0, -4046043, -3111095158]$ |
\(y^2=x^3-4046043x-3111095158\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 156.48.0.?, $\ldots$ |
$[(-1121, 3978), (-1238, 702)]$ |
| 137280.bl3 |
137280hd2 |
137280.bl |
137280hd |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2654208$ |
$2.417290$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.63412$ |
$[0, -1, 0, -1798241, -921206559]$ |
\(y^2=x^3-x^2-1798241x-921206559\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 156.24.0.?, $\ldots$ |
$[]$ |
| 137280.ef3 |
137280bc2 |
137280.ef |
137280bc |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$4.857803795$ |
$1$ |
|
$3$ |
$2654208$ |
$2.417290$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.63412$ |
$[0, 1, 0, -1798241, 921206559]$ |
\(y^2=x^3+x^2-1798241x+921206559\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 156.24.0.?, $\ldots$ |
$[(1297, 27792)]$ |
| 141570.g3 |
141570du2 |
141570.g |
141570du |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$4.268733911$ |
$1$ |
|
$2$ |
$13271040$ |
$3.125820$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.33896$ |
$[1, -1, 0, -30598200, -64693407564]$ |
\(y^2+xy=x^3-x^2-30598200x-64693407564\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0-6.a.1.3, $\ldots$ |
$[(-3110, 21036)]$ |
| 167310.bq3 |
167310dg2 |
167310.bq |
167310dg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1.739721468$ |
$1$ |
|
$6$ |
$18579456$ |
$3.209351$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.34814$ |
$[1, -1, 0, -42736329, 106808747553]$ |
\(y^2+xy=x^3-x^2-42736329x+106808747553\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.2, $\ldots$ |
$[(2727, 101304)]$ |
| 171600.gz3 |
171600cc2 |
171600.gz |
171600cc |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.875435$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.00446$ |
$[0, 1, 0, -11239008, 14399471988]$ |
\(y^2=x^3+x^2-11239008x+14399471988\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 66.24.0-6.a.1.3, $\ldots$ |
$[]$ |
| 210210.a3 |
210210fn2 |
210210.a |
210210fn |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$60060$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.350525$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.40764$ |
$[1, 1, 0, -1376778, 616964328]$ |
\(y^2+xy=x^3+x^2-1376778x+616964328\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[]$ |
| 235950.bx3 |
235950bx2 |
235950.bx |
235950bx |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1.334909484$ |
$1$ |
|
$4$ |
$39813120$ |
$3.381233$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.36625$ |
$[1, 1, 0, -84995000, 299506516500]$ |
\(y^2+xy=x^3+x^2-84995000x+299506516500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 156.48.0.?, $\ldots$ |
$[(4520, 85490)]$ |
| 278850.bm3 |
278850bm2 |
278850.bm |
278850bm |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{9} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$55738368$ |
$3.464760$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.37470$ |
$[1, 1, 0, -118712025, -494484942375]$ |
\(y^2+xy=x^3+x^2-118712025x-494484942375\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.9, 132.24.0.?, $\ldots$ |
$[]$ |
| 377520.da3 |
377520da2 |
377520.da |
377520da |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$39813120$ |
$3.269661$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.06558$ |
$[0, -1, 0, -54396800, -153347336448]$ |
\(y^2=x^3-x^2-54396800x-153347336448\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 132.24.0.?, $\ldots$ |
$[]$ |
| 411840.is3 |
411840is2 |
411840.is |
411840is |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$7.337909095$ |
$1$ |
|
$3$ |
$21233664$ |
$2.966595$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.75018$ |
$[0, 0, 0, -16184172, -24888761264]$ |
\(y^2=x^3-16184172x-24888761264\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 156.24.0.?, $\ldots$ |
$[(6672, 405140)]$ |
| 411840.ls3 |
411840ls2 |
411840.ls |
411840ls |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$96$ |
$1$ |
$2.808454746$ |
$1$ |
|
$5$ |
$21233664$ |
$2.966595$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$4.75018$ |
$[0, 0, 0, -16184172, 24888761264]$ |
\(y^2=x^3-16184172x+24888761264\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 156.24.0.?, $\ldots$ |
$[(2488, 4860)]$ |
| 446160.bo3 |
446160bo2 |
446160.bo |
446160bo |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$8580$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$55738368$ |
$3.353191$ |
$2453170411237305241/19353090685500$ |
$0.97022$ |
$5.07758$ |
$[0, -1, 0, -75975696, 253176290496]$ |
\(y^2=x^3-x^2-75975696x+253176290496\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 156.48.0.?, $\ldots$ |
$[]$ |
