| 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 |
| 8280.h1 |
8280b2 |
8280.h |
8280b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2560$ |
$0.395593$ |
$28697814/13225$ |
$1.06897$ |
$3.11395$ |
$[0, 0, 0, -243, -658]$ |
\(y^2=x^3-243x-658\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
| 8280.q1 |
8280p2 |
8280.q |
8280p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.729848557$ |
$1$ |
|
$3$ |
$7680$ |
$0.944899$ |
$28697814/13225$ |
$1.06897$ |
$3.84460$ |
$[0, 0, 0, -2187, 17766]$ |
\(y^2=x^3-2187x+17766\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-50, 46)]$ |
| 16560.i1 |
16560a2 |
16560.i |
16560a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.781530042$ |
$1$ |
|
$7$ |
$5120$ |
$0.395593$ |
$28697814/13225$ |
$1.06897$ |
$2.89177$ |
$[0, 0, 0, -243, 658]$ |
\(y^2=x^3-243x+658\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-9, 46)]$ |
| 16560.bt1 |
16560f2 |
16560.bt |
16560f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.984347173$ |
$1$ |
|
$7$ |
$15360$ |
$0.944899$ |
$28697814/13225$ |
$1.06897$ |
$3.57029$ |
$[0, 0, 0, -2187, -17766]$ |
\(y^2=x^3-2187x-17766\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(73, 460)]$ |
| 41400.z1 |
41400c2 |
41400.z |
41400c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.749619$ |
$28697814/13225$ |
$1.06897$ |
$4.17091$ |
$[0, 0, 0, -54675, 2220750]$ |
\(y^2=x^3-54675x+2220750\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
| 41400.bg1 |
41400bc2 |
41400.bg |
41400bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.200312$ |
$28697814/13225$ |
$1.06897$ |
$3.55087$ |
$[0, 0, 0, -6075, -82250]$ |
\(y^2=x^3-6075x-82250\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
| 66240.bg1 |
66240dm2 |
66240.bg |
66240dm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.093537639$ |
$1$ |
|
$7$ |
$122880$ |
$1.291473$ |
$28697814/13225$ |
$1.06897$ |
$3.49907$ |
$[0, 0, 0, -8748, -142128]$ |
\(y^2=x^3-8748x-142128\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-38, 368)]$ |
| 66240.bw1 |
66240a2 |
66240.bw |
66240a |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.370004844$ |
$1$ |
|
$5$ |
$122880$ |
$1.291473$ |
$28697814/13225$ |
$1.06897$ |
$3.49907$ |
$[0, 0, 0, -8748, 142128]$ |
\(y^2=x^3-8748x+142128\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-8, 460)]$ |
| 66240.ek1 |
66240s2 |
66240.ek |
66240s |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.812431170$ |
$1$ |
|
$7$ |
$40960$ |
$0.742167$ |
$28697814/13225$ |
$1.06897$ |
$2.90528$ |
$[0, 0, 0, -972, -5264]$ |
\(y^2=x^3-972x-5264\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-18, 80)]$ |
| 66240.ew1 |
66240dt2 |
66240.ew |
66240dt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.832638634$ |
$1$ |
|
$5$ |
$40960$ |
$0.742167$ |
$28697814/13225$ |
$1.06897$ |
$2.90528$ |
$[0, 0, 0, -972, 5264]$ |
\(y^2=x^3-972x+5264\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(5, 23)]$ |
| 82800.cu1 |
82800e2 |
82800.cu |
82800e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.023505608$ |
$1$ |
|
$23$ |
$122880$ |
$1.200312$ |
$28697814/13225$ |
$1.06897$ |
$3.33352$ |
$[0, 0, 0, -6075, 82250]$ |
\(y^2=x^3-6075x+82250\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(185, 2300), (1, 276)]$ |
| 82800.dj1 |
82800a2 |
82800.dj |
82800a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.493325268$ |
$1$ |
|
$5$ |
$368640$ |
$1.749619$ |
$28697814/13225$ |
$1.06897$ |
$3.91561$ |
$[0, 0, 0, -54675, -2220750]$ |
\(y^2=x^3-54675x-2220750\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-185, 1250)]$ |
| 190440.o1 |
190440u2 |
190440.o |
190440u |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$13.55241792$ |
$1$ |
|
$1$ |
$4055040$ |
$2.512646$ |
$28697814/13225$ |
$1.06897$ |
$4.40051$ |
$[0, 0, 0, -1156923, -216158922]$ |
\(y^2=x^3-1156923x-216158922\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(84410713/26, 775497167749/26)]$ |
| 190440.bk1 |
190440bs2 |
190440.bk |
190440bs |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$6.307319228$ |
$1$ |
|
$1$ |
$1351680$ |
$1.963341$ |
$28697814/13225$ |
$1.06897$ |
$3.85830$ |
$[0, 0, 0, -128547, 8005886]$ |
\(y^2=x^3-128547x+8005886\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-1247/2, 33735/2)]$ |
| 331200.hx1 |
331200hx2 |
331200.hx |
331200hx |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.919299207$ |
$1$ |
|
$5$ |
$983040$ |
$1.546885$ |
$28697814/13225$ |
$1.06897$ |
$3.29715$ |
$[0, 0, 0, -24300, -658000]$ |
\(y^2=x^3-24300x-658000\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-40, 500)]$ |
| 331200.hy1 |
331200hy2 |
331200.hy |
331200hy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.096191$ |
$28697814/13225$ |
$1.06897$ |
$3.81575$ |
$[0, 0, 0, -218700, -17766000]$ |
\(y^2=x^3-218700x-17766000\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
| 331200.jl1 |
331200jl2 |
331200.jl |
331200jl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.316850090$ |
$1$ |
|
$7$ |
$983040$ |
$1.546885$ |
$28697814/13225$ |
$1.06897$ |
$3.29715$ |
$[0, 0, 0, -24300, 658000]$ |
\(y^2=x^3-24300x+658000\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(170, 1200)]$ |
| 331200.jm1 |
331200jm2 |
331200.jm |
331200jm |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.096191$ |
$28697814/13225$ |
$1.06897$ |
$3.81575$ |
$[0, 0, 0, -218700, 17766000]$ |
\(y^2=x^3-218700x+17766000\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
| 380880.bm1 |
380880bm2 |
380880.bm |
380880bm |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8110080$ |
$2.512646$ |
$28697814/13225$ |
$1.06897$ |
$4.16315$ |
$[0, 0, 0, -1156923, 216158922]$ |
\(y^2=x^3-1156923x+216158922\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
| 380880.fj1 |
380880fj2 |
380880.fj |
380880fj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$5.237862216$ |
$1$ |
|
$1$ |
$2703360$ |
$1.963341$ |
$28697814/13225$ |
$1.06897$ |
$3.65019$ |
$[0, 0, 0, -128547, -8005886]$ |
\(y^2=x^3-128547x-8005886\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(14329/6, 425845/6)]$ |
| 405720.l1 |
405720l2 |
405720.l |
405720l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$3.837812821$ |
$1$ |
|
$3$ |
$2949120$ |
$1.917854$ |
$28697814/13225$ |
$1.06897$ |
$3.59006$ |
$[0, 0, 0, -107163, -6093738]$ |
\(y^2=x^3-107163x-6093738\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[(-98, 1862)]$ |
| 405720.gl1 |
405720gl2 |
405720.gl |
405720gl |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983040$ |
$1.368547$ |
$28697814/13225$ |
$1.06897$ |
$3.07961$ |
$[0, 0, 0, -11907, 225694]$ |
\(y^2=x^3-11907x+225694\) |
2.3.0.a.1, 24.6.0.a.1, 920.6.0.?, 1380.6.0.?, 2760.12.0.? |
$[]$ |
