| 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.g1 |
10005m1 |
10005.g |
10005m |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 23 \cdot 29^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$20010$ |
$2$ |
$0$ |
$8.613946887$ |
$1$ |
|
$2$ |
$2140320$ |
$3.644524$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$7.27396$ |
$[0, 1, 1, -104207741, 135268278965]$ |
\(y^2+y=x^3+x^2-104207741x+135268278965\) |
20010.2.0.? |
$[(-7253, 713854)]$ |
| 30015.h1 |
30015k1 |
30015.h |
30015k |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 3^{13} \cdot 5^{3} \cdot 23 \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17122560$ |
$4.193825$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$7.13820$ |
$[0, 0, 1, -937869672, -3653181401733]$ |
\(y^2+y=x^3-937869672x-3653181401733\) |
20010.2.0.? |
$[]$ |
| 50025.m1 |
50025c1 |
50025.m |
50025c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{9} \cdot 23 \cdot 29^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$90.85742399$ |
$1$ |
|
$0$ |
$51367680$ |
$4.449242$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$7.08447$ |
$[0, -1, 1, -2605193533, 16913745257718]$ |
\(y^2+y=x^3-x^2-2605193533x+16913745257718\) |
20010.2.0.? |
$[(-9297047722867995539010689064870091254492/433827172232997887, 408753024751374813895355883142914856456788742058597516220111/433827172232997887)]$ |
| 150075.be1 |
150075w1 |
150075.be |
150075w |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 23 \cdot 29 \) |
\( 3^{13} \cdot 5^{9} \cdot 23 \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$410941440$ |
$4.998550$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$6.98451$ |
$[0, 0, 1, -23446741800, -456647675216594]$ |
\(y^2+y=x^3-23446741800x-456647675216594\) |
20010.2.0.? |
$[]$ |
| 160080.q1 |
160080ca1 |
160080.q |
160080ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 23 \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$154103040$ |
$4.337669$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$6.28510$ |
$[0, -1, 0, -1667323861, -8658837177635]$ |
\(y^2=x^3-x^2-1667323861x-8658837177635\) |
20010.2.0.? |
$[]$ |
| 230115.u1 |
230115u1 |
230115.u |
230115u |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 23^{2} \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 23^{7} \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1130088960$ |
$5.212273$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$6.95042$ |
$[0, 1, 1, -55125895165, -1646250157331069]$ |
\(y^2+y=x^3+x^2-55125895165x-1646250157331069\) |
20010.2.0.? |
$[]$ |
| 290145.k1 |
290145k1 |
290145.k |
290145k |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 23 \cdot 29^{2} \) |
\( 3^{7} \cdot 5^{3} \cdot 23 \cdot 29^{19} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1797868800$ |
$5.328171$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$6.93291$ |
$[0, -1, 1, -87638710461, 3299934442787192]$ |
\(y^2+y=x^3-x^2-87638710461x+3299934442787192\) |
20010.2.0.? |
$[]$ |
| 480240.ed1 |
480240ed1 |
480240.ed |
480240ed |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \cdot 29 \) |
\( 2^{12} \cdot 3^{13} \cdot 5^{3} \cdot 23 \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1232824320$ |
$4.886978$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$6.26116$ |
$[0, 0, 0, -15005914752, 233803609710896]$ |
\(y^2=x^3-15005914752x+233803609710896\) |
20010.2.0.? |
$[]$ |
| 490245.bb1 |
490245bb1 |
490245.bb |
490245bb |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{6} \cdot 23 \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20010$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$706305600$ |
$4.617477$ |
$125147927114815865709295304704/64514985611316331088611125$ |
$1.08913$ |
$6.00449$ |
$[0, -1, 1, -5106179325, -46407232043719]$ |
\(y^2+y=x^3-x^2-5106179325x-46407232043719\) |
20010.2.0.? |
$[]$ |
