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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 36032.a1 |
36032g1 |
36032.a |
36032g |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{10} \cdot 563 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8704$ |
$-0.148497$ |
$-6912000/563$ |
$0.68505$ |
$2.17419$ |
$1$ |
$[0, 0, 0, -40, -104]$ |
\(y^2=x^3-40x-104\) |
1126.2.0.? |
$[ ]$ |
$1$ |
| 36032.b1 |
36032j1 |
36032.b |
36032j |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{22} \cdot 563 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$3.420384431$ |
$1$ |
|
$2$ |
$33792$ |
$0.479285$ |
$658503/9008$ |
$0.80611$ |
$2.76340$ |
$1$ |
$[0, 0, 0, 116, -2288]$ |
\(y^2=x^3+116x-2288\) |
1126.2.0.? |
$[(21, 97)]$ |
$1$ |
| 36032.c1 |
36032h1 |
36032.c |
36032h |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{14} \cdot 563 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$2.440808069$ |
$1$ |
|
$2$ |
$5120$ |
$0.017737$ |
$-35152/563$ |
$0.68151$ |
$2.24239$ |
$1$ |
$[0, -1, 0, -17, -143]$ |
\(y^2=x^3-x^2-17x-143\) |
1126.2.0.? |
$[(8, 13)]$ |
$1$ |
| 36032.d1 |
36032f1 |
36032.d |
36032f |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{10} \cdot 563 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6656$ |
$-0.206720$ |
$702464/563$ |
$0.67595$ |
$1.94372$ |
$1$ |
$[0, -1, 0, 19, 13]$ |
\(y^2=x^3-x^2+19x+13\) |
1126.2.0.? |
$[ ]$ |
$1$ |
| 36032.e1 |
36032i1 |
36032.e |
36032i |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{18} \cdot 563 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$8.079944765$ |
$1$ |
|
$0$ |
$26624$ |
$0.468041$ |
$-374805361/563$ |
$0.80334$ |
$3.07097$ |
$1$ |
$[0, -1, 0, -961, -11167]$ |
\(y^2=x^3-x^2-961x-11167\) |
1126.2.0.? |
$[(2368/7, 78905/7)]$ |
$1$ |
| 36032.f1 |
36032a1 |
36032.f |
36032a |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{14} \cdot 563 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$2.112761745$ |
$1$ |
|
$2$ |
$5120$ |
$0.017737$ |
$-35152/563$ |
$0.68151$ |
$2.24239$ |
$1$ |
$[0, 1, 0, -17, 143]$ |
\(y^2=x^3+x^2-17x+143\) |
1126.2.0.? |
$[(2, 11)]$ |
$1$ |
| 36032.g1 |
36032b1 |
36032.g |
36032b |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{18} \cdot 563 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$2.062228479$ |
$1$ |
|
$2$ |
$26624$ |
$0.468041$ |
$-374805361/563$ |
$0.80334$ |
$3.07097$ |
$1$ |
$[0, 1, 0, -961, 11167]$ |
\(y^2=x^3+x^2-961x+11167\) |
1126.2.0.? |
$[(18, 5)]$ |
$1$ |
| 36032.h1 |
36032d1 |
36032.h |
36032d |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{10} \cdot 563 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6656$ |
$-0.206720$ |
$702464/563$ |
$0.67595$ |
$1.94372$ |
$1$ |
$[0, 1, 0, 19, -13]$ |
\(y^2=x^3+x^2+19x-13\) |
1126.2.0.? |
$[ ]$ |
$1$ |
| 36032.i1 |
36032e1 |
36032.i |
36032e |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{10} \cdot 563 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8704$ |
$-0.148497$ |
$-6912000/563$ |
$0.68505$ |
$2.17419$ |
$1$ |
$[0, 0, 0, -40, 104]$ |
\(y^2=x^3-40x+104\) |
1126.2.0.? |
$[ ]$ |
$1$ |
| 36032.j1 |
36032c1 |
36032.j |
36032c |
$1$ |
$1$ |
\( 2^{6} \cdot 563 \) |
\( - 2^{22} \cdot 563 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1126$ |
$2$ |
$0$ |
$5.224176484$ |
$1$ |
|
$0$ |
$33792$ |
$0.479285$ |
$658503/9008$ |
$0.80611$ |
$2.76340$ |
$1$ |
$[0, 0, 0, 116, 2288]$ |
\(y^2=x^3+116x+2288\) |
1126.2.0.? |
$[(-59/3, 953/3)]$ |
$1$ |
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