| 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 |
| 18354.w2 |
18354w2 |
18354.w |
18354w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 7^{18} \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40449024$ |
$4.330269$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.69792$ |
$[1, 0, 0, -1353712969, 29812950549785]$ |
\(y^2+xy=x^3-1353712969x+29812950549785\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
| 55062.l2 |
55062o2 |
55062.l |
55062o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{21} \cdot 3^{14} \cdot 7^{18} \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$323592192$ |
$4.879578$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.52704$ |
$[1, -1, 0, -12183416721, -804949664844195]$ |
\(y^2+xy=x^3-x^2-12183416721x-804949664844195\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
| 128478.cc2 |
128478bz2 |
128478.cc |
128478bz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 7^{24} \cdot 19 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$32.04538292$ |
$1$ |
|
$0$ |
$1941553152$ |
$5.303223$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.41705$ |
$[1, 1, 1, -66331935482, -10225908370511737]$ |
\(y^2+xy+y=x^3+x^2-66331935482x-10225908370511737\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[(13542709560843969/180155, 1088704176577622817277793/180155)]$ |
| 146832.e2 |
146832t2 |
146832.e |
146832t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{33} \cdot 3^{8} \cdot 7^{18} \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$970776576$ |
$5.023415$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.05157$ |
$[0, -1, 0, -21659407504, -1908028835186240]$ |
\(y^2=x^3-x^2-21659407504x-1908028835186240\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
| 348726.c2 |
348726c2 |
348726.c |
348726c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 7^{18} \cdot 19^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14561648640$ |
$5.802490$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.30618$ |
$[1, 1, 0, -488690381816, -204488005201738944]$ |
\(y^2+xy=x^3+x^2-488690381816x-204488005201738944\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
| 385434.n2 |
385434n2 |
385434.n |
385434n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( - 2^{21} \cdot 3^{14} \cdot 7^{24} \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15532425216$ |
$5.852531$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.29601$ |
$[1, -1, 0, -596987419338, 276098929016397556]$ |
\(y^2+xy=x^3-x^2-596987419338x+276098929016397556\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
| 422142.dl2 |
422142dl2 |
422142.dl |
422142dl |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \) |
\( - 2^{21} \cdot 3^{8} \cdot 7^{18} \cdot 19 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$2.868425028$ |
$1$ |
|
$2$ |
$21357084672$ |
$5.898018$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$7.28691$ |
$[1, 0, 0, -716114160612, -362735601567555312]$ |
\(y^2+xy=x^3-716114160612x-362735601567555312\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[(2491128, 3647394396)]$ |
| 440496.di2 |
440496di2 |
440496.di |
440496di |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{33} \cdot 3^{14} \cdot 7^{18} \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$7766212608$ |
$5.572723$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$6.96267$ |
$[0, 0, 0, -194934667539, 51516973484696018]$ |
\(y^2=x^3-194934667539x+51516973484696018\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
| 458850.bi2 |
458850bi2 |
458850.bi |
458850bi |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{21} \cdot 3^{8} \cdot 5^{6} \cdot 7^{18} \cdot 19 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$24472$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5177475072$ |
$5.134987$ |
$-274349062822440138956705327559697/225202879880369216454056214528$ |
$1.04238$ |
$6.53794$ |
$[1, 1, 0, -33842824225, 3726618818723125]$ |
\(y^2+xy=x^3+x^2-33842824225x+3726618818723125\) |
2.3.0.a.1, 152.6.0.?, 644.6.0.?, 24472.12.0.? |
$[]$ |
