| 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 |
| 2442.a2 |
2442c2 |
2442.a |
2442c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1.471883717$ |
$1$ |
|
$8$ |
$30720$ |
$1.812737$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$6.39885$ |
$[1, 1, 0, -350466, 79709940]$ |
\(y^2+xy=x^3+x^2-350466x+79709940\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.2, 132.48.0.? |
$[(315, 675)]$ |
| 7326.k2 |
7326i2 |
7326.k |
7326i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$245760$ |
$2.362041$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$6.34961$ |
$[1, -1, 1, -3154199, -2155322577]$ |
\(y^2+xy+y=x^3-x^2-3154199x-2155322577\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.3, 132.48.0.? |
$[]$ |
| 19536.u2 |
19536bd2 |
19536.u |
19536bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{28} \cdot 3^{2} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$737280$ |
$2.505882$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.89396$ |
$[0, 1, 0, -5607464, -5112651084]$ |
\(y^2=x^3+x^2-5607464x-5112651084\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.1, 132.48.0.? |
$[]$ |
| 26862.m2 |
26862o2 |
26862.m |
26862o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3686400$ |
$3.011684$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$6.30507$ |
$[1, 1, 1, -42406449, -106305962289]$ |
\(y^2+xy+y=x^3+x^2-42406449x-106305962289\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 44.24.0-44.b.1.2, 132.48.0.? |
$[]$ |
| 58608.bo2 |
58608bq2 |
58608.bo |
58608bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{28} \cdot 3^{8} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$7.458078725$ |
$1$ |
|
$3$ |
$5898240$ |
$3.055191$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.90457$ |
$[0, 0, 0, -50467179, 137991112090]$ |
\(y^2=x^3-50467179x+137991112090\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.3, 132.48.0.? |
$[(-42710/3, 14045570/3)]$ |
| 61050.cz2 |
61050cj2 |
61050.cz |
61050cj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3932160$ |
$2.617455$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.40601$ |
$[1, 0, 0, -8761663, 9981265817]$ |
\(y^2+xy=x^3-8761663x+9981265817\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.1, $\ldots$ |
$[]$ |
| 78144.bl2 |
78144ce2 |
78144.bl |
78144ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{34} \cdot 3^{2} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$51.97048025$ |
$1$ |
|
$3$ |
$5898240$ |
$2.852459$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.53787$ |
$[0, -1, 0, -22429857, -40878778815]$ |
\(y^2=x^3-x^2-22429857x-40878778815\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[(167454938373641730107088/4111566913, 58517402761439701162458727198212135/4111566913)]$ |
| 78144.cu2 |
78144y2 |
78144.cu |
78144y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{34} \cdot 3^{2} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5898240$ |
$2.852459$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.53787$ |
$[0, 1, 0, -22429857, 40878778815]$ |
\(y^2=x^3+x^2-22429857x+40878778815\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 44.12.0.b.1, $\ldots$ |
$[]$ |
| 80586.q2 |
80586p2 |
80586.q |
80586p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$29491200$ |
$3.560989$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$6.27540$ |
$[1, -1, 0, -381658041, 2869879323757]$ |
\(y^2+xy=x^3-x^2-381658041x+2869879323757\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 44.24.0-44.b.1.4, 132.48.0.? |
$[]$ |
| 90354.p2 |
90354q2 |
90354.p |
90354q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{2} \cdot 37^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4884$ |
$48$ |
$0$ |
$5.425118950$ |
$1$ |
|
$4$ |
$42024960$ |
$3.618195$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$6.27264$ |
$[1, 1, 1, -479788667, 4044744417161]$ |
\(y^2+xy+y=x^3+x^2-479788667x+4044744417161\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 132.24.0.?, 148.12.0.?, $\ldots$ |
$[(13695, 200062)]$ |
| 119658.bu2 |
119658bw2 |
119658.bu |
119658bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$11.69302596$ |
$1$ |
|
$2$ |
$8847360$ |
$2.785690$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.26754$ |
$[1, 0, 1, -17172860, -27392027974]$ |
\(y^2+xy+y=x^3-17172860x-27392027974\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(26134513/33, 131032710727/33)]$ |
| 183150.cu2 |
183150ew2 |
183150.cu |
183150ew |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$31457280$ |
$3.166763$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.45986$ |
$[1, -1, 0, -78854967, -269494177059]$ |
\(y^2+xy=x^3-x^2-78854967x-269494177059\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[]$ |
| 214896.bs2 |
214896c2 |
214896.bs |
214896c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{28} \cdot 3^{2} \cdot 11^{8} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$6.456176144$ |
$1$ |
|
$3$ |
$88473600$ |
$3.704830$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.91467$ |
$[0, 1, 0, -678503184, 6802224580116]$ |
\(y^2=x^3+x^2-678503184x+6802224580116\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 44.24.0-44.b.1.1, 132.48.0.? |
$[(533389/6, 9782245/6)]$ |
| 234432.m2 |
234432m2 |
234432.m |
234432m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{34} \cdot 3^{8} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$29.07295650$ |
$1$ |
|
$3$ |
$47185920$ |
$3.401764$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.57893$ |
$[0, 0, 0, -201868716, -1103928896720]$ |
\(y^2=x^3-201868716x-1103928896720\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[(49449219321137/53444, 117274154694003875799/53444)]$ |
| 234432.bj2 |
234432bj2 |
234432.bj |
234432bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{34} \cdot 3^{8} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$13.69250604$ |
$1$ |
|
$3$ |
$47185920$ |
$3.401764$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.57893$ |
$[0, 0, 0, -201868716, 1103928896720]$ |
\(y^2=x^3-201868716x+1103928896720\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 44.12.0.b.1, $\ldots$ |
$[(12567853/37, 7914007773/37)]$ |
| 271062.d2 |
271062d2 |
271062.d |
271062d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{2} \cdot 37^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4884$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$336199680$ |
$4.167503$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$6.24870$ |
$[1, -1, 0, -4318098003, -109212417361355]$ |
\(y^2+xy=x^3-x^2-4318098003x-109212417361355\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 132.24.0.?, 148.12.0.?, $\ldots$ |
$[]$ |
| 358974.cu2 |
358974cu2 |
358974.cu |
358974cu |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{6} \cdot 11^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$0.484356950$ |
$1$ |
|
$20$ |
$70778880$ |
$3.334999$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.33045$ |
$[1, -1, 1, -154555736, 739584755291]$ |
\(y^2+xy+y=x^3-x^2-154555736x+739584755291\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(7401, 28933)]$ |
| 412698.cd2 |
412698cd2 |
412698.cd |
412698cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$58982400$ |
$3.095211$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.05042$ |
$[1, 1, 1, -59228842, 175418882231]$ |
\(y^2+xy+y=x^3+x^2-59228842x+175418882231\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 488400.e2 |
488400e2 |
488400.e |
488400e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{28} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$94371840$ |
$3.310604$ |
$4760617885089919932457/133756441657344$ |
$1.01050$ |
$5.18281$ |
$[0, -1, 0, -140186608, -638801012288]$ |
\(y^2=x^3-x^2-140186608x-638801012288\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[]$ |
