| 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 |
| 10005.h1 |
10005i2 |
10005.h |
10005i |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{5} \cdot 5^{15} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$20010$ |
$16$ |
$0$ |
$6.026588428$ |
$1$ |
|
$0$ |
$194400$ |
$2.427292$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.04291$ |
$[0, 1, 1, -2379061, -1411043480]$ |
\(y^2+y=x^3+x^2-2379061x-1411043480\) |
3.8.0-3.a.1.1, 20010.16.0.? |
$[(-3451/2, 1931/2)]$ |
| 30015.j1 |
30015l2 |
30015.j |
30015l |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{11} \cdot 5^{15} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$20010$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1555200$ |
$2.976597$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.03833$ |
$[0, 0, 1, -21411552, 38076762402]$ |
\(y^2+y=x^3-21411552x+38076762402\) |
3.8.0-3.a.1.2, 20010.16.0.? |
$[]$ |
| 50025.k1 |
50025e2 |
50025.k |
50025e |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{5} \cdot 5^{21} \cdot 23^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20010$ |
$16$ |
$0$ |
$14.22125668$ |
$1$ |
|
$0$ |
$4665600$ |
$3.232010$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.03653$ |
$[0, -1, 1, -59476533, -176261481907]$ |
\(y^2+y=x^3-x^2-59476533x-176261481907\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 4002.8.0.?, 20010.16.0.? |
$[(-17431267/62, 3170055861/62)]$ |
| 150075.v1 |
150075s2 |
150075.v |
150075s |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{11} \cdot 5^{21} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20010$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37324800$ |
$3.781315$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.03316$ |
$[0, 0, 1, -535288800, 4759595300281]$ |
\(y^2+y=x^3-535288800x+4759595300281\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 4002.8.0.?, 20010.16.0.? |
$[]$ |
| 160080.n1 |
160080by2 |
160080.n |
160080by |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{15} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$40020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13996800$ |
$3.120438$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$5.33887$ |
$[0, -1, 0, -38064981, 90268717725]$ |
\(y^2=x^3-x^2-38064981x+90268717725\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 20010.8.0.?, 40020.16.0.? |
$[]$ |
| 230115.t1 |
230115t2 |
230115.t |
230115t |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 3^{5} \cdot 5^{15} \cdot 23^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20010$ |
$16$ |
$0$ |
$0.542612269$ |
$1$ |
|
$0$ |
$102643200$ |
$3.995037$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.03201$ |
$[0, 1, 1, -1258523445, 17158097831006]$ |
\(y^2+y=x^3+x^2-1258523445x+17158097831006\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 870.8.0.?, 20010.16.0.? |
$[(72165/2, 4562621/2)]$ |
| 290145.m1 |
290145m2 |
290145.m |
290145m |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 3^{5} \cdot 5^{15} \cdot 23^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20010$ |
$16$ |
$0$ |
$48.41919818$ |
$1$ |
|
$0$ |
$163296000$ |
$4.110939$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$6.03142$ |
$[0, -1, 1, -2000790581, -34393931522713]$ |
\(y^2+y=x^3-x^2-2000790581x-34393931522713\) |
3.4.0.a.1, 87.8.0.?, 690.8.0.?, 20010.16.0.? |
$[(-2440109673964966815659/307526293, 6650726233373953837092624371334/307526293)]$ |
| 480240.ds1 |
480240ds2 |
480240.ds |
480240ds |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{11} \cdot 5^{15} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$40020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$111974400$ |
$3.669746$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$5.39439$ |
$[0, 0, 0, -342584832, -2436912793744]$ |
\(y^2=x^3-342584832x-2436912793744\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 20010.8.0.?, 40020.16.0.? |
$[]$ |
| 490245.be1 |
490245be2 |
490245.be |
490245be |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 3^{5} \cdot 5^{15} \cdot 7^{6} \cdot 23^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$140070$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73483200$ |
$3.400246$ |
$1489157481162281146384384/2616603057861328125$ |
$1.07366$ |
$5.13909$ |
$[0, -1, 1, -116574005, 483754765556]$ |
\(y^2+y=x^3-x^2-116574005x+483754765556\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 20010.8.0.?, 140070.16.0.? |
$[]$ |
