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 |
76440.r1 |
76440d1 |
76440.r |
76440d |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$8.606190145$ |
$1$ |
|
$0$ |
$314496$ |
$1.454857$ |
$71997884/43875$ |
$0.84992$ |
$3.60992$ |
$[0, -1, 0, 15664, 168540]$ |
\(y^2=x^3-x^2+15664x+168540\) |
390.2.0.? |
$[(-926/11, 292088/11)]$ |
76440.db1 |
76440bq1 |
76440.db |
76440bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.619089075$ |
$1$ |
|
$2$ |
$44928$ |
$0.481901$ |
$71997884/43875$ |
$0.84992$ |
$2.57157$ |
$[0, 1, 0, 320, -400]$ |
\(y^2=x^3+x^2+320x-400\) |
390.2.0.? |
$[(20, 120)]$ |
152880.cm1 |
152880gz1 |
152880.cm |
152880gz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.082769107$ |
$1$ |
|
$12$ |
$89856$ |
$0.481901$ |
$71997884/43875$ |
$0.84992$ |
$2.42225$ |
$[0, -1, 0, 320, 400]$ |
\(y^2=x^3-x^2+320x+400\) |
390.2.0.? |
$[(0, 20), (20, 120)]$ |
152880.ek1 |
152880gv1 |
152880.ek |
152880gv |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.184902982$ |
$1$ |
|
$14$ |
$628992$ |
$1.454857$ |
$71997884/43875$ |
$0.84992$ |
$3.40031$ |
$[0, 1, 0, 15664, -168540]$ |
\(y^2=x^3+x^2+15664x-168540\) |
390.2.0.? |
$[(16, 294), (310, 5880)]$ |
229320.f1 |
229320bb1 |
229320.f |
229320bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.155551576$ |
$1$ |
|
$2$ |
$359424$ |
$1.031208$ |
$71997884/43875$ |
$0.84992$ |
$2.87673$ |
$[0, 0, 0, 2877, 13678]$ |
\(y^2=x^3+2877x+13678\) |
390.2.0.? |
$[(11, 216)]$ |
229320.cq1 |
229320u1 |
229320.cq |
229320u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2515968$ |
$2.004162$ |
$71997884/43875$ |
$0.84992$ |
$3.82266$ |
$[0, 0, 0, 140973, -4691554]$ |
\(y^2=x^3+140973x-4691554\) |
390.2.0.? |
$[]$ |
382200.er1 |
382200er1 |
382200.er |
382200er |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.114481757$ |
$1$ |
|
$2$ |
$1078272$ |
$1.286619$ |
$71997884/43875$ |
$0.84992$ |
$3.00085$ |
$[0, -1, 0, 7992, -65988]$ |
\(y^2=x^3-x^2+7992x-65988\) |
390.2.0.? |
$[(77, 1000)]$ |
382200.jl1 |
382200jl1 |
382200.jl |
382200jl |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7547904$ |
$2.259575$ |
$71997884/43875$ |
$0.84992$ |
$3.90919$ |
$[0, 1, 0, 391592, 21850688]$ |
\(y^2=x^3+x^2+391592x+21850688\) |
390.2.0.? |
$[]$ |
458640.ha1 |
458640ha1 |
458640.ha |
458640ha |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$718848$ |
$1.031208$ |
$71997884/43875$ |
$0.84992$ |
$2.72377$ |
$[0, 0, 0, 2877, -13678]$ |
\(y^2=x^3+2877x-13678\) |
390.2.0.? |
$[]$ |
458640.ny1 |
458640ny1 |
458640.ny |
458640ny |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.331039285$ |
$1$ |
|
$6$ |
$5031936$ |
$2.004162$ |
$71997884/43875$ |
$0.84992$ |
$3.61940$ |
$[0, 0, 0, 140973, 4691554]$ |
\(y^2=x^3+140973x+4691554\) |
390.2.0.? |
$[(833, 26460)]$ |