| 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 |
| 3870.e1 |
3870d4 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$11.00385370$ |
$1$ |
|
$0$ |
$55296$ |
$2.090031$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.81571$ |
$[1, -1, 0, -2949144, -1948623040]$ |
\(y^2+xy=x^3-x^2-2949144x-1948623040\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.r.1.8, 516.48.0.?, $\ldots$ |
$[(1377919/26, 377400587/26)]$ |
| 3870.l2 |
3870m2 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$3.753400639$ |
$1$ |
|
$8$ |
$18432$ |
$1.540724$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.01779$ |
$[1, -1, 1, -327683, 72280451]$ |
\(y^2+xy+y=x^3-x^2-327683x+72280451\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.r.1.16, 516.48.0.?, $\ldots$ |
$[(571, 8146)]$ |
| 19350.bk2 |
19350c2 |
19350.bk |
19350c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1.295511413$ |
$1$ |
|
$6$ |
$442368$ |
$2.345444$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.01489$ |
$[1, -1, 0, -8192067, 9026864341]$ |
\(y^2+xy=x^3-x^2-8192067x+9026864341\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$ |
$[(1599, 2963)]$ |
| 19350.cs1 |
19350bq4 |
19350.cs |
19350bq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1327104$ |
$2.894749$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.68271$ |
$[1, -1, 1, -73728605, -243651608603]$ |
\(y^2+xy+y=x^3-x^2-73728605x-243651608603\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 30960.z2 |
30960s2 |
30960.z |
30960s |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{24} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$442368$ |
$2.233871$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.61202$ |
$[0, 0, 0, -5242923, -4620705958]$ |
\(y^2=x^3-5242923x-4620705958\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 30960.cb1 |
30960y4 |
30960.cb |
30960y |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{24} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$13.28295597$ |
$1$ |
|
$1$ |
$1327104$ |
$2.783176$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.24948$ |
$[0, 0, 0, -47186307, 124759060866]$ |
\(y^2=x^3-47186307x+124759060866\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0-6.a.1.3, $\ldots$ |
$[(40405479/13, 256733799210/13)]$ |
| 123840.f1 |
123840f4 |
123840.f |
123840f |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{30} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$22.12362615$ |
$1$ |
|
$1$ |
$10616832$ |
$3.129749$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.86534$ |
$[0, 0, 0, -188745228, -998072486928]$ |
\(y^2=x^3-188745228x-998072486928\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.r.1, $\ldots$ |
$[(7892109928/167, 700273491335684/167)]$ |
| 123840.dh1 |
123840dv4 |
123840.dh |
123840dv |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{30} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$18.60147009$ |
$1$ |
|
$1$ |
$10616832$ |
$3.129749$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.86534$ |
$[0, 0, 0, -188745228, 998072486928]$ |
\(y^2=x^3-188745228x+998072486928\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.r.1, $\ldots$ |
$[(779022364/285, 6127303531888/285)]$ |
| 123840.dx2 |
123840u2 |
123840.dx |
123840u |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{30} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.580444$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.30323$ |
$[0, 0, 0, -20971692, 36965647664]$ |
\(y^2=x^3-20971692x+36965647664\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.r.1, $\ldots$ |
$[]$ |
| 123840.gh2 |
123840eg2 |
123840.gh |
123840eg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{30} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$3538944$ |
$2.580444$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.30323$ |
$[0, 0, 0, -20971692, -36965647664]$ |
\(y^2=x^3-20971692x-36965647664\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.r.1, $\ldots$ |
$[]$ |
| 154800.l2 |
154800dw2 |
154800.l |
154800dw |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$10.18574594$ |
$1$ |
|
$1$ |
$10616832$ |
$3.038589$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.66427$ |
$[0, 0, 0, -131073075, -577588244750]$ |
\(y^2=x^3-131073075x-577588244750\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 60.48.0-60.r.1.9, 516.48.0.?, $\ldots$ |
$[(205735/3, 78120350/3)]$ |
| 154800.o1 |
154800dz4 |
154800.o |
154800dz |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$13.17328705$ |
$1$ |
|
$1$ |
$31850496$ |
$3.587894$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.21588$ |
$[0, 0, 0, -1179657675, 15594882608250]$ |
\(y^2=x^3-1179657675x+15594882608250\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 60.48.0-60.r.1.1, 516.48.0.?, $\ldots$ |
$[(94418551/69, 151599574/69)]$ |
| 166410.bl2 |
166410cs2 |
166410.bl |
166410cs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$65.17806826$ |
$1$ |
|
$0$ |
$34062336$ |
$3.421322$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.01222$ |
$[1, -1, 0, -605885289, -5740137100595]$ |
\(y^2+xy=x^3-x^2-605885289x-5740137100595\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 60.48.0-60.r.1.2, $\ldots$ |
$[(-2357207144649872661568927980011/12879134954364, 15111830259230798764690973437932397472501803/12879134954364)]$ |
| 166410.cj1 |
166410bh4 |
166410.cj |
166410bh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2580$ |
$96$ |
$1$ |
$6.781705796$ |
$1$ |
|
$0$ |
$102187008$ |
$3.970631$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.56051$ |
$[1, -1, 1, -5452967603, 154989154683667]$ |
\(y^2+xy+y=x^3-x^2-5452967603x+154989154683667\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 60.48.0-60.r.1.10, $\ldots$ |
$[(383923/3, -806506/3)]$ |
| 189630.s1 |
189630eu4 |
189630.s |
189630eu |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18060$ |
$96$ |
$1$ |
$3.249361966$ |
$1$ |
|
$2$ |
$15925248$ |
$3.062984$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.59377$ |
$[1, -1, 0, -144508065, 668666718845]$ |
\(y^2+xy=x^3-x^2-144508065x+668666718845\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(12658, 925063)]$ |
| 189630.ei2 |
189630bs2 |
189630.ei |
189630bs |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18060$ |
$96$ |
$1$ |
$3.107303024$ |
$1$ |
|
$2$ |
$5308416$ |
$2.513680$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.05137$ |
$[1, -1, 1, -16056452, -24760081881]$ |
\(y^2+xy+y=x^3-x^2-16056452x-24760081881\) |
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, $\ldots$ |
$[(11909, 1207677)]$ |
| 468270.bd2 |
468270bd2 |
468270.bd |
468270bd |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$28380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$26542080$ |
$2.739670$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$4.90935$ |
$[1, -1, 0, -39649605, -96086331819]$ |
\(y^2+xy=x^3-x^2-39649605x-96086331819\) |
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.r.1, $\ldots$ |
$[]$ |
| 468270.ed1 |
468270ed4 |
468270.ed |
468270ed |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 11^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$28380$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$79626240$ |
$3.288979$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$5.41419$ |
$[1, -1, 1, -356846447, 2594687805559]$ |
\(y^2+xy+y=x^3-x^2-356846447x+2594687805559\) |
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.r.1, $\ldots$ |
$[]$ |
