The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000
| 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 |
| 3040.a1 |
3040a1 |
3040.a |
3040a |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( - 2^{9} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$320$ |
$-0.192300$ |
$-14172488/475$ |
$1.16911$ |
$2.83822$ |
$[0, -1, 0, -40, -88]$ |
\(y^2=x^3-x^2-40x-88\) |
152.2.0.? |
$[ ]$ |
$1$ |
| 3040.b1 |
3040d2 |
3040.b |
3040d |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( 2^{12} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.344906945$ |
$1$ |
|
$5$ |
$1152$ |
$0.432997$ |
$519718464/296875$ |
$1.19561$ |
$3.53964$ |
$[0, 0, 0, -268, -192]$ |
\(y^2=x^3-268x-192\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(-12, 36)]$ |
$1$ |
| 3040.b2 |
3040d1 |
3040.b |
3040d |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( 2^{6} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.172453472$ |
$1$ |
|
$5$ |
$576$ |
$0.086424$ |
$8947094976/45125$ |
$0.95489$ |
$3.37591$ |
$[0, 0, 0, -173, 872]$ |
\(y^2=x^3-173x+872\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(7, 2)]$ |
$1$ |
| 3040.c1 |
3040c2 |
3040.c |
3040c |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( 2^{12} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.432997$ |
$519718464/296875$ |
$1.19561$ |
$3.53964$ |
$[0, 0, 0, -268, 192]$ |
\(y^2=x^3-268x+192\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[ ]$ |
$1$ |
| 3040.c2 |
3040c1 |
3040.c |
3040c |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( 2^{6} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.086424$ |
$8947094976/45125$ |
$0.95489$ |
$3.37591$ |
$[0, 0, 0, -173, -872]$ |
\(y^2=x^3-173x-872\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[ ]$ |
$1$ |
| 3040.d1 |
3040b1 |
3040.d |
3040b |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( - 2^{9} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.308255874$ |
$1$ |
|
$4$ |
$320$ |
$-0.192300$ |
$-14172488/475$ |
$1.16911$ |
$2.83822$ |
$[0, 1, 0, -40, 88]$ |
\(y^2=x^3+x^2-40x+88\) |
152.2.0.? |
$[(6, 10)]$ |
$1$ |
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