| 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 |
Manin constant |
| 17745.e2 |
17745p1 |
17745.e |
17745p |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$4.049506177$ |
$1$ |
|
$5$ |
$157248$ |
$1.782965$ |
$2111932187/1250235$ |
$0.94958$ |
$4.55397$ |
$[1, 0, 0, 58724, -824929]$ |
\(y^2+xy=x^3+58724x-824929\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(23, 722)]$ |
$1$ |
| 17745.x2 |
17745x1 |
17745.x |
17745x |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1.106673272$ |
$1$ |
|
$3$ |
$12096$ |
$0.500491$ |
$2111932187/1250235$ |
$0.94958$ |
$2.98100$ |
$[1, 0, 1, 347, -349]$ |
\(y^2+xy+y=x^3+347x-349\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(37, 233)]$ |
$1$ |
| 53235.h2 |
53235y1 |
53235.h |
53235y |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 3^{12} \cdot 5 \cdot 7^{3} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1.962299346$ |
$1$ |
|
$15$ |
$96768$ |
$1.049797$ |
$2111932187/1250235$ |
$0.94958$ |
$3.28578$ |
$[1, -1, 1, 3127, 9416]$ |
\(y^2+xy+y=x^3-x^2+3127x+9416\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(78, 811), (22, 286)]$ |
$1$ |
| 53235.bh2 |
53235bh1 |
53235.bh |
53235bh |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 3^{12} \cdot 5 \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1257984$ |
$2.332272$ |
$2111932187/1250235$ |
$0.94958$ |
$4.69995$ |
$[1, -1, 0, 528516, 22273083]$ |
\(y^2+xy=x^3-x^2+528516x+22273083\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |
| 88725.k2 |
88725m1 |
88725.k |
88725m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$290304$ |
$1.305210$ |
$2111932187/1250235$ |
$0.94958$ |
$3.40747$ |
$[1, 1, 1, 8687, -43594]$ |
\(y^2+xy+y=x^3+x^2+8687x-43594\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |
| 88725.bz2 |
88725x1 |
88725.bz |
88725x |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$9.129295470$ |
$1$ |
|
$3$ |
$3773952$ |
$2.587685$ |
$2111932187/1250235$ |
$0.94958$ |
$4.75824$ |
$[1, 1, 0, 1468100, -103116125]$ |
\(y^2+xy=x^3+x^2+1468100x-103116125\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(168170, 68882015)]$ |
$1$ |
| 124215.q2 |
124215bq1 |
124215.q |
124215bq |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7547904$ |
$2.755920$ |
$2111932187/1250235$ |
$0.94958$ |
$4.79386$ |
$[1, 1, 1, 2877475, 285828122]$ |
\(y^2+xy+y=x^3+x^2+2877475x+285828122\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |
| 124215.ci2 |
124215t1 |
124215.ci |
124215t |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$10.79988411$ |
$1$ |
|
$1$ |
$580608$ |
$1.473446$ |
$2111932187/1250235$ |
$0.94958$ |
$3.48184$ |
$[1, 1, 0, 17027, 136648]$ |
\(y^2+xy=x^3+x^2+17027x+136648\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(912151/10, 866752519/10)]$ |
$1$ |
| 266175.bw2 |
266175bw1 |
266175.bw |
266175bw |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{12} \cdot 5^{7} \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30191616$ |
$3.136990$ |
$2111932187/1250235$ |
$0.94958$ |
$4.86745$ |
$[1, -1, 1, 13212895, 2797348272]$ |
\(y^2+xy+y=x^3-x^2+13212895x+2797348272\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |
| 266175.da2 |
266175da1 |
266175.da |
266175da |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{12} \cdot 5^{7} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$4.192902527$ |
$1$ |
|
$3$ |
$2322432$ |
$1.854515$ |
$2111932187/1250235$ |
$0.94958$ |
$3.63547$ |
$[1, -1, 0, 78183, 1255216]$ |
\(y^2+xy=x^3-x^2+78183x+1255216\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(84, 2858)]$ |
$1$ |
| 283920.by2 |
283920by1 |
283920.by |
283920by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10063872$ |
$2.476112$ |
$2111932187/1250235$ |
$0.94958$ |
$4.21084$ |
$[0, -1, 0, 939584, 52795456]$ |
\(y^2=x^3-x^2+939584x+52795456\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |
| 283920.ca2 |
283920ca1 |
283920.ca |
283920ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$1.193638$ |
$2111932187/1250235$ |
$0.94958$ |
$2.98520$ |
$[0, -1, 0, 5560, 22320]$ |
\(y^2=x^3-x^2+5560x+22320\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |
| 372645.bn2 |
372645bn1 |
372645.bn |
372645bn |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{12} \cdot 5 \cdot 7^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$6.233295729$ |
$1$ |
|
$3$ |
$4644864$ |
$2.022751$ |
$2111932187/1250235$ |
$0.94958$ |
$3.69749$ |
$[1, -1, 1, 153238, -3536256]$ |
\(y^2+xy+y=x^3-x^2+153238x-3536256\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[(28454, 4785873)]$ |
$1$ |
| 372645.ec2 |
372645ec1 |
372645.ec |
372645ec |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{12} \cdot 5 \cdot 7^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$60383232$ |
$3.305225$ |
$2111932187/1250235$ |
$0.94958$ |
$4.89715$ |
$[1, -1, 0, 25897275, -7691462024]$ |
\(y^2+xy=x^3-x^2+25897275x-7691462024\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[ ]$ |
$1$ |