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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
3990.e1 |
3990e1 |
3990.e |
3990e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5040$ |
$0.769315$ |
$-28119423707929/70383600000$ |
$[1, 1, 0, -633, -14427]$ |
\(y^2+xy=x^3+x^2-633x-14427\) |
15960.2.0.? |
$[]$ |
11970.ce1 |
11970ce1 |
11970.ce |
11970ce |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.031829690$ |
$1$ |
|
$18$ |
$40320$ |
$1.318621$ |
$-28119423707929/70383600000$ |
$[1, -1, 1, -5702, 383829]$ |
\(y^2+xy+y=x^3-x^2-5702x+383829\) |
15960.2.0.? |
$[(287, 4581)]$ |
19950.cv1 |
19950cq1 |
19950.cv |
19950cq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{11} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.544616803$ |
$1$ |
|
$6$ |
$120960$ |
$1.574034$ |
$-28119423707929/70383600000$ |
$[1, 0, 0, -15838, -1771708]$ |
\(y^2+xy=x^3-15838x-1771708\) |
15960.2.0.? |
$[(272, 3614)]$ |
27930.bw1 |
27930bu1 |
27930.bw |
27930bu |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7^{9} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.239789660$ |
$1$ |
|
$6$ |
$241920$ |
$1.742270$ |
$-28119423707929/70383600000$ |
$[1, 0, 1, -31043, 4855358]$ |
\(y^2+xy+y=x^3-31043x+4855358\) |
15960.2.0.? |
$[(-66, 2605)]$ |
31920.bj1 |
31920bp1 |
31920.bj |
31920bp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.462461$ |
$-28119423707929/70383600000$ |
$[0, 1, 0, -10136, 903060]$ |
\(y^2=x^3+x^2-10136x+903060\) |
15960.2.0.? |
$[]$ |
59850.k1 |
59850be1 |
59850.k |
59850be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{11} \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$2.123341$ |
$-28119423707929/70383600000$ |
$[1, -1, 0, -142542, 47836116]$ |
\(y^2+xy=x^3-x^2-142542x+47836116\) |
15960.2.0.? |
$[]$ |
75810.de1 |
75810dg1 |
75810.de |
75810dg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.234776361$ |
$1$ |
|
$8$ |
$1814400$ |
$2.241535$ |
$-28119423707929/70383600000$ |
$[1, 0, 0, -228701, 97125681]$ |
\(y^2+xy=x^3-228701x+97125681\) |
15960.2.0.? |
$[(1018, 29815)]$ |
83790.dc1 |
83790ep1 |
83790.dc |
83790ep |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 7^{9} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1.684885098$ |
$1$ |
|
$2$ |
$1935360$ |
$2.291576$ |
$-28119423707929/70383600000$ |
$[1, -1, 1, -279383, -131094673]$ |
\(y^2+xy+y=x^3-x^2-279383x-131094673\) |
15960.2.0.? |
$[(1227, 36430)]$ |
95760.dy1 |
95760eu1 |
95760.dy |
95760eu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1.458258443$ |
$1$ |
|
$4$ |
$967680$ |
$2.011768$ |
$-28119423707929/70383600000$ |
$[0, 0, 0, -91227, -24473846]$ |
\(y^2=x^3-91227x-24473846\) |
15960.2.0.? |
$[(413, 2880)]$ |
127680.ck1 |
127680ei1 |
127680.ck |
127680ei |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.919328301$ |
$1$ |
|
$4$ |
$967680$ |
$1.809036$ |
$-28119423707929/70383600000$ |
$[0, -1, 0, -40545, 7265025]$ |
\(y^2=x^3-x^2-40545x+7265025\) |
15960.2.0.? |
$[(365, 6400)]$ |
127680.ga1 |
127680dg1 |
127680.ga |
127680dg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.351832041$ |
$1$ |
|
$4$ |
$967680$ |
$1.809036$ |
$-28119423707929/70383600000$ |
$[0, 1, 0, -40545, -7265025]$ |
\(y^2=x^3+x^2-40545x-7265025\) |
15960.2.0.? |
$[(915, 26880)]$ |
139650.ge1 |
139650eq1 |
139650.ge |
139650eq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{11} \cdot 7^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.546989$ |
$-28119423707929/70383600000$ |
$[1, 1, 1, -776063, 606919781]$ |
\(y^2+xy+y=x^3+x^2-776063x+606919781\) |
15960.2.0.? |
$[]$ |
159600.cg1 |
159600dv1 |
159600.cg |
159600dv |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{11} \cdot 7^{3} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1.031094544$ |
$1$ |
|
$16$ |
$2903040$ |
$2.267181$ |
$-28119423707929/70383600000$ |
$[0, -1, 0, -253408, 113389312]$ |
\(y^2=x^3-x^2-253408x+113389312\) |
15960.2.0.? |
$[(162, 8750), (-48, 11200)]$ |
223440.cl1 |
223440df1 |
223440.cl |
223440df |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{5} \cdot 7^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.435417$ |
$-28119423707929/70383600000$ |
$[0, -1, 0, -496680, -310742928]$ |
\(y^2=x^3-x^2-496680x-310742928\) |
15960.2.0.? |
$[]$ |
227430.co1 |
227430dj1 |
227430.co |
227430dj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 7^{3} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$0.610200808$ |
$1$ |
|
$6$ |
$14515200$ |
$2.790840$ |
$-28119423707929/70383600000$ |
$[1, -1, 0, -2058309, -2622393387]$ |
\(y^2+xy=x^3-x^2-2058309x-2622393387\) |
15960.2.0.? |
$[(4527, 282024)]$ |
379050.w1 |
379050w1 |
379050.w |
379050w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{11} \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43545600$ |
$3.046253$ |
$-28119423707929/70383600000$ |
$[1, 1, 0, -5717525, 12140710125]$ |
\(y^2+xy=x^3+x^2-5717525x+12140710125\) |
15960.2.0.? |
$[]$ |
383040.r1 |
383040r1 |
383040.r |
383040r |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3^{9} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$4.487733805$ |
$1$ |
|
$2$ |
$7741440$ |
$2.358341$ |
$-28119423707929/70383600000$ |
$[0, 0, 0, -364908, -195790768]$ |
\(y^2=x^3-364908x-195790768\) |
15960.2.0.? |
$[(784, 108)]$ |
383040.gm1 |
383040gm1 |
383040.gm |
383040gm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{25} \cdot 3^{9} \cdot 5^{5} \cdot 7^{3} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.358341$ |
$-28119423707929/70383600000$ |
$[0, 0, 0, -364908, 195790768]$ |
\(y^2=x^3-364908x+195790768\) |
15960.2.0.? |
$[]$ |
418950.cd1 |
418950cd1 |
418950.cd |
418950cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{11} \cdot 7^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46448640$ |
$3.096294$ |
$-28119423707929/70383600000$ |
$[1, -1, 0, -6984567, -16393818659]$ |
\(y^2+xy=x^3-x^2-6984567x-16393818659\) |
15960.2.0.? |
$[]$ |
478800.nl1 |
478800nl1 |
478800.nl |
478800nl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{19} \cdot 3^{9} \cdot 5^{11} \cdot 7^{3} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$3.530414287$ |
$1$ |
|
$2$ |
$23224320$ |
$2.816486$ |
$-28119423707929/70383600000$ |
$[0, 0, 0, -2280675, -3059230750]$ |
\(y^2=x^3-2280675x-3059230750\) |
15960.2.0.? |
$[(7495, 633150)]$ |
482790.ek1 |
482790ek1 |
482790.ek |
482790ek |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 7^{3} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15960$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6804000$ |
$1.968264$ |
$-28119423707929/70383600000$ |
$[1, 1, 1, -76656, 18819153]$ |
\(y^2+xy+y=x^3+x^2-76656x+18819153\) |
15960.2.0.? |
$[]$ |