| 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 |
| 3336.f1 |
3336b1 |
3336.f |
3336b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 139 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1344$ |
$0.390516$ |
$210094874500/3753$ |
$1.00904$ |
$4.06807$ |
$[0, 1, 0, -1248, 16560]$ |
\(y^2=x^3+x^2-1248x+16560\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[]$ |
| 6672.d1 |
6672b1 |
6672.d |
6672b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 139 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2688$ |
$0.390516$ |
$210094874500/3753$ |
$1.00904$ |
$3.74784$ |
$[0, -1, 0, -1248, -16560]$ |
\(y^2=x^3-x^2-1248x-16560\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[]$ |
| 10008.f1 |
10008f1 |
10008.f |
10008f |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{9} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$5.494918381$ |
$1$ |
|
$1$ |
$10752$ |
$0.939822$ |
$210094874500/3753$ |
$1.00904$ |
$4.29849$ |
$[0, 0, 0, -11235, -458354]$ |
\(y^2=x^3-11235x-458354\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(3179/5, 51408/5)]$ |
| 20016.o1 |
20016f1 |
20016.o |
20016f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{9} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$1.854669227$ |
$1$ |
|
$5$ |
$21504$ |
$0.939822$ |
$210094874500/3753$ |
$1.00904$ |
$3.99766$ |
$[0, 0, 0, -11235, 458354]$ |
\(y^2=x^3-11235x+458354\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(65, 52)]$ |
| 26688.m1 |
26688f1 |
26688.m |
26688f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 139 \) |
\( 2^{16} \cdot 3^{3} \cdot 139 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$0.737090$ |
$210094874500/3753$ |
$1.00904$ |
$3.64612$ |
$[0, -1, 0, -4993, 137473]$ |
\(y^2=x^3-x^2-4993x+137473\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[]$ |
| 26688.be1 |
26688bh1 |
26688.be |
26688bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 139 \) |
\( 2^{16} \cdot 3^{3} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$3.237853283$ |
$1$ |
|
$3$ |
$21504$ |
$0.737090$ |
$210094874500/3753$ |
$1.00904$ |
$3.64612$ |
$[0, 1, 0, -4993, -137473]$ |
\(y^2=x^3+x^2-4993x-137473\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(103, 672)]$ |
| 80064.bg1 |
80064bv1 |
80064.bg |
80064bv |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 139 \) |
\( 2^{16} \cdot 3^{9} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$0.850457301$ |
$1$ |
|
$7$ |
$172032$ |
$1.286396$ |
$210094874500/3753$ |
$1.00904$ |
$3.87516$ |
$[0, 0, 0, -44940, 3666832]$ |
\(y^2=x^3-44940x+3666832\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(74, 864)]$ |
| 80064.bn1 |
80064bd1 |
80064.bn |
80064bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 139 \) |
\( 2^{16} \cdot 3^{9} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$11.76376909$ |
$1$ |
|
$1$ |
$172032$ |
$1.286396$ |
$210094874500/3753$ |
$1.00904$ |
$3.87516$ |
$[0, 0, 0, -44940, -3666832]$ |
\(y^2=x^3-44940x-3666832\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(1455238/77, 136311552/77)]$ |
| 83400.a1 |
83400j1 |
83400.a |
83400j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 139 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$1.195234$ |
$210094874500/3753$ |
$1.00904$ |
$3.76466$ |
$[0, -1, 0, -31208, 2132412]$ |
\(y^2=x^3-x^2-31208x+2132412\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[]$ |
| 163464.i1 |
163464r1 |
163464.i |
163464r |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$8.526410044$ |
$1$ |
|
$1$ |
$387072$ |
$1.363472$ |
$210094874500/3753$ |
$1.00904$ |
$3.72180$ |
$[0, -1, 0, -61168, -5802404]$ |
\(y^2=x^3-x^2-61168x-5802404\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(23785/9, 883666/9)]$ |
| 166800.cg1 |
166800by1 |
166800.cg |
166800by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$4.410631385$ |
$1$ |
|
$3$ |
$387072$ |
$1.195234$ |
$210094874500/3753$ |
$1.00904$ |
$3.54765$ |
$[0, 1, 0, -31208, -2132412]$ |
\(y^2=x^3+x^2-31208x-2132412\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(382, 6468)]$ |
| 250200.c1 |
250200c1 |
250200.c |
250200c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 139 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1548288$ |
$1.744541$ |
$210094874500/3753$ |
$1.00904$ |
$3.96223$ |
$[0, 0, 0, -280875, -57294250]$ |
\(y^2=x^3-280875x-57294250\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[]$ |
| 326928.cd1 |
326928cd1 |
326928.cd |
326928cd |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$0.568577858$ |
$1$ |
|
$9$ |
$774144$ |
$1.363472$ |
$210094874500/3753$ |
$1.00904$ |
$3.51863$ |
$[0, 1, 0, -61168, 5802404]$ |
\(y^2=x^3+x^2-61168x+5802404\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(128, 294)]$ |
| 403656.o1 |
403656o1 |
403656.o |
403656o |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{6} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$7.555418503$ |
$1$ |
|
$1$ |
$1720320$ |
$1.589464$ |
$210094874500/3753$ |
$1.00904$ |
$3.67125$ |
$[0, 1, 0, -151048, -22645504]$ |
\(y^2=x^3+x^2-151048x-22645504\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(29345/8, 1110417/8)]$ |
| 463704.b1 |
463704b1 |
463704.b |
463704b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 139^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 139^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$77.79935504$ |
$1$ |
|
$1$ |
$25966080$ |
$2.857754$ |
$210094874500/3753$ |
$1.00904$ |
$4.79874$ |
$[0, -1, 0, -24119048, -45583227396]$ |
\(y^2=x^3-x^2-24119048x-45583227396\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(2926304109180753306436089411292444009/815360742868795, 5005861919518051648965975879481788725202350057421545302/815360742868795)]$ |
| 490392.n1 |
490392n1 |
490392.n |
490392n |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 139 \) |
\( 2^{10} \cdot 3^{9} \cdot 7^{6} \cdot 139 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$3336$ |
$12$ |
$0$ |
$2.384806622$ |
$1$ |
|
$5$ |
$3096576$ |
$1.912777$ |
$210094874500/3753$ |
$1.00904$ |
$3.91281$ |
$[0, 0, 0, -550515, 157215422]$ |
\(y^2=x^3-550515x+157215422\) |
2.3.0.a.1, 8.6.0.d.1, 834.6.0.?, 3336.12.0.? |
$[(434, 196)]$ |
