| 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 |
| 6240.h1 |
6240e1 |
6240.h |
6240e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$0.080898$ |
$175616/4875$ |
$0.85447$ |
$2.77423$ |
$[0, -1, 0, 19, -219]$ |
\(y^2=x^3-x^2+19x-219\) |
390.2.0.? |
$[]$ |
| 6240.q1 |
6240n1 |
6240.q |
6240n |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.201190636$ |
$1$ |
|
$2$ |
$1920$ |
$0.080898$ |
$175616/4875$ |
$0.85447$ |
$2.77423$ |
$[0, 1, 0, 19, 219]$ |
\(y^2=x^3+x^2+19x+219\) |
390.2.0.? |
$[(-3, 12)]$ |
| 12480.x1 |
12480cd1 |
12480.x |
12480cd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.477667869$ |
$1$ |
|
$4$ |
$1920$ |
$-0.265676$ |
$175616/4875$ |
$0.85447$ |
$2.12942$ |
$[0, -1, 0, 5, 25]$ |
\(y^2=x^3-x^2+5x+25\) |
390.2.0.? |
$[(0, 5)]$ |
| 12480.dh1 |
12480da1 |
12480.dh |
12480da |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$-0.265676$ |
$175616/4875$ |
$0.85447$ |
$2.12942$ |
$[0, 1, 0, 5, -25]$ |
\(y^2=x^3+x^2+5x-25\) |
390.2.0.? |
$[]$ |
| 18720.w1 |
18720bt1 |
18720.w |
18720bt |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.313173750$ |
$1$ |
|
$6$ |
$15360$ |
$0.630204$ |
$175616/4875$ |
$0.85447$ |
$3.13448$ |
$[0, 0, 0, 168, -5744]$ |
\(y^2=x^3+168x-5744\) |
390.2.0.? |
$[(32, 180)]$ |
| 18720.bt1 |
18720bs1 |
18720.bt |
18720bs |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.566361054$ |
$1$ |
|
$4$ |
$15360$ |
$0.630204$ |
$175616/4875$ |
$0.85447$ |
$3.13448$ |
$[0, 0, 0, 168, 5744]$ |
\(y^2=x^3+168x+5744\) |
390.2.0.? |
$[(28, 180)]$ |
| 31200.be1 |
31200bi1 |
31200.be |
31200bi |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$0.885616$ |
$175616/4875$ |
$0.85447$ |
$3.27593$ |
$[0, -1, 0, 467, 26437]$ |
\(y^2=x^3-x^2+467x+26437\) |
390.2.0.? |
$[]$ |
| 31200.bf1 |
31200ca1 |
31200.bf |
31200ca |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.708243108$ |
$1$ |
|
$2$ |
$46080$ |
$0.885616$ |
$175616/4875$ |
$0.85447$ |
$3.27593$ |
$[0, 1, 0, 467, -26437]$ |
\(y^2=x^3+x^2+467x-26437\) |
390.2.0.? |
$[(193, 2700)]$ |
| 37440.a1 |
37440eb1 |
37440.a |
37440eb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.871438821$ |
$1$ |
|
$2$ |
$15360$ |
$0.283630$ |
$175616/4875$ |
$0.85447$ |
$2.53322$ |
$[0, 0, 0, 42, -718]$ |
\(y^2=x^3+42x-718\) |
390.2.0.? |
$[(13, 45)]$ |
| 37440.cx1 |
37440ea1 |
37440.cx |
37440ea |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.289219408$ |
$1$ |
|
$2$ |
$15360$ |
$0.283630$ |
$175616/4875$ |
$0.85447$ |
$2.53322$ |
$[0, 0, 0, 42, 718]$ |
\(y^2=x^3+42x+718\) |
390.2.0.? |
$[(-7, 9)]$ |
| 62400.b1 |
62400fh1 |
62400.b |
62400fh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.302783858$ |
$1$ |
|
$2$ |
$46080$ |
$0.539043$ |
$175616/4875$ |
$0.85447$ |
$2.69361$ |
$[0, -1, 0, 117, -3363]$ |
\(y^2=x^3-x^2+117x-3363\) |
390.2.0.? |
$[(52, 375)]$ |
| 62400.ig1 |
62400hp1 |
62400.ig |
62400hp |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3 \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$0.539043$ |
$175616/4875$ |
$0.85447$ |
$2.69361$ |
$[0, 1, 0, 117, 3363]$ |
\(y^2=x^3+x^2+117x+3363\) |
390.2.0.? |
$[]$ |
| 81120.o1 |
81120bm1 |
81120.o |
81120bm |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.370883152$ |
$1$ |
|
$4$ |
$322560$ |
$1.363373$ |
$175616/4875$ |
$0.85447$ |
$3.50620$ |
$[0, -1, 0, 3155, -468443]$ |
\(y^2=x^3-x^2+3155x-468443\) |
390.2.0.? |
$[(87, 676)]$ |
| 81120.cd1 |
81120cd1 |
81120.cd |
81120cd |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.363373$ |
$175616/4875$ |
$0.85447$ |
$3.50620$ |
$[0, 1, 0, 3155, 468443]$ |
\(y^2=x^3+x^2+3155x+468443\) |
390.2.0.? |
$[]$ |
| 93600.a1 |
93600bg1 |
93600.a |
93600bg |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{9} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.728167285$ |
$1$ |
|
$16$ |
$368640$ |
$1.434923$ |
$175616/4875$ |
$0.85447$ |
$3.53738$ |
$[0, 0, 0, 4200, 718000]$ |
\(y^2=x^3+4200x+718000\) |
390.2.0.? |
$[(65, 1125), (20, 900)]$ |
| 93600.fc1 |
93600bf1 |
93600.fc |
93600bf |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.434923$ |
$175616/4875$ |
$0.85447$ |
$3.53738$ |
$[0, 0, 0, 4200, -718000]$ |
\(y^2=x^3+4200x-718000\) |
390.2.0.? |
$[]$ |
| 162240.ca1 |
162240ek1 |
162240.ca |
162240ek |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$1.016798$ |
$175616/4875$ |
$0.85447$ |
$2.95696$ |
$[0, -1, 0, 789, 58161]$ |
\(y^2=x^3-x^2+789x+58161\) |
390.2.0.? |
$[]$ |
| 162240.ef1 |
162240x1 |
162240.ef |
162240x |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$3.394896906$ |
$1$ |
|
$0$ |
$322560$ |
$1.016798$ |
$175616/4875$ |
$0.85447$ |
$2.95696$ |
$[0, 1, 0, 789, -58161]$ |
\(y^2=x^3+x^2+789x-58161\) |
390.2.0.? |
$[(478/3, 9971/3)]$ |
| 187200.g1 |
187200cj1 |
187200.g |
187200cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.088348$ |
$175616/4875$ |
$0.85447$ |
$2.99283$ |
$[0, 0, 0, 1050, 89750]$ |
\(y^2=x^3+1050x+89750\) |
390.2.0.? |
$[]$ |
| 187200.qi1 |
187200gi1 |
187200.qi |
187200gi |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.088348$ |
$175616/4875$ |
$0.85447$ |
$2.99283$ |
$[0, 0, 0, 1050, -89750]$ |
\(y^2=x^3+1050x-89750\) |
390.2.0.? |
$[]$ |
| 243360.b1 |
243360b1 |
243360.b |
243360b |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.912678$ |
$175616/4875$ |
$0.85447$ |
$3.72711$ |
$[0, 0, 0, 28392, 12619568]$ |
\(y^2=x^3+28392x+12619568\) |
390.2.0.? |
$[]$ |
| 243360.cs1 |
243360cs1 |
243360.cs |
243360cs |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.912678$ |
$175616/4875$ |
$0.85447$ |
$3.72711$ |
$[0, 0, 0, 28392, -12619568]$ |
\(y^2=x^3+28392x-12619568\) |
390.2.0.? |
$[]$ |
| 305760.cv1 |
305760cv1 |
305760.cv |
305760cv |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.094581300$ |
$1$ |
|
$4$ |
$449280$ |
$1.053852$ |
$175616/4875$ |
$0.85447$ |
$2.84380$ |
$[0, -1, 0, 915, -73275]$ |
\(y^2=x^3-x^2+915x-73275\) |
390.2.0.? |
$[(35, 20)]$ |
| 305760.gw1 |
305760gw1 |
305760.gw |
305760gw |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$449280$ |
$1.053852$ |
$175616/4875$ |
$0.85447$ |
$2.84380$ |
$[0, 1, 0, 915, 73275]$ |
\(y^2=x^3+x^2+915x+73275\) |
390.2.0.? |
$[]$ |
| 405600.a1 |
405600a1 |
405600.a |
405600a |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.625757865$ |
$1$ |
|
$4$ |
$7741440$ |
$2.168091$ |
$175616/4875$ |
$0.85447$ |
$3.81702$ |
$[0, -1, 0, 78867, 58397637]$ |
\(y^2=x^3-x^2+78867x+58397637\) |
390.2.0.? |
$[(1907, 84500)]$ |
| 405600.hf1 |
405600hf1 |
405600.hf |
405600hf |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.168091$ |
$175616/4875$ |
$0.85447$ |
$3.81702$ |
$[0, 1, 0, 78867, -58397637]$ |
\(y^2=x^3+x^2+78867x-58397637\) |
390.2.0.? |
$[]$ |
| 486720.io1 |
486720io1 |
486720.io |
486720io |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.786574887$ |
$1$ |
|
$10$ |
$2580480$ |
$1.566105$ |
$175616/4875$ |
$0.85447$ |
$3.21225$ |
$[0, 0, 0, 7098, 1577446]$ |
\(y^2=x^3+7098x+1577446\) |
390.2.0.? |
$[(-247/2, 7605/2), (65, 1521)]$ |
| 486720.qv1 |
486720qv1 |
486720.qv |
486720qv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.566105$ |
$175616/4875$ |
$0.85447$ |
$3.21225$ |
$[0, 0, 0, 7098, -1577446]$ |
\(y^2=x^3+7098x-1577446\) |
390.2.0.? |
$[]$ |
