| 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 |
| 75810.bb1 |
75810bc1 |
75810.bb |
75810bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{5} \cdot 7^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.192089016$ |
$1$ |
|
$8$ |
$2217600$ |
$2.384880$ |
$-9016495979563870309819/19756800000$ |
$1.03282$ |
$5.28540$ |
$[1, 1, 0, -8238692, 9098540496]$ |
\(y^2+xy=x^3+x^2-8238692x+9098540496\) |
5320.2.0.? |
$[(1727, 4124)]$ |
| 75810.ds1 |
75810dt1 |
75810.ds |
75810dt |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{5} \cdot 7^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$2.060244654$ |
$1$ |
|
$4$ |
$42134400$ |
$3.857101$ |
$-9016495979563870309819/19756800000$ |
$1.03282$ |
$6.85772$ |
$[1, 0, 0, -2974168000, -62430682605568]$ |
\(y^2+xy=x^3-2974168000x-62430682605568\) |
5320.2.0.? |
$[(156704, 57537248)]$ |
| 227430.bd1 |
227430et1 |
227430.bd |
227430et |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{5} \cdot 7^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$8.511307922$ |
$1$ |
|
$0$ |
$337075200$ |
$4.406403$ |
$-9016495979563870309819/19756800000$ |
$1.03282$ |
$6.78133$ |
$[1, -1, 0, -26767512000, 1685628430350336]$ |
\(y^2+xy=x^3-x^2-26767512000x+1685628430350336\) |
5320.2.0.? |
$[(208756293/47, -2501689956/47)]$ |
| 227430.em1 |
227430bj1 |
227430.em |
227430bj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{5} \cdot 7^{3} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17740800$ |
$2.934185$ |
$-9016495979563870309819/19756800000$ |
$1.03282$ |
$5.34905$ |
$[1, -1, 1, -74148233, -245734741623]$ |
\(y^2+xy+y=x^3-x^2-74148233x-245734741623\) |
5320.2.0.? |
$[]$ |
| 379050.g1 |
379050g1 |
379050.g |
379050g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{11} \cdot 7^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$53.18261901$ |
$1$ |
|
$0$ |
$1011225600$ |
$4.661819$ |
$-9016495979563870309819/19756800000$ |
$1.03282$ |
$6.75026$ |
$[1, 1, 0, -74354200000, -7803835325696000]$ |
\(y^2+xy=x^3+x^2-74354200000x-7803835325696000\) |
5320.2.0.? |
$[(277085859753943715726381795/26425012811, 2923967904023533500937142265392785639315/26425012811)]$ |
| 379050.ia1 |
379050ia1 |
379050.ia |
379050ia |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{11} \cdot 7^{3} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$0.453852606$ |
$1$ |
|
$6$ |
$53222400$ |
$3.189598$ |
$-9016495979563870309819/19756800000$ |
$1.03282$ |
$5.37493$ |
$[1, 0, 0, -205967313, 1137729496617]$ |
\(y^2+xy=x^3-205967313x+1137729496617\) |
5320.2.0.? |
$[(8262, -381)]$ |
