| 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 |
| 16872.b1 |
16872a1 |
16872.b |
16872a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 19 \cdot 37 \) |
\( - 2^{8} \cdot 3^{8} \cdot 19 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10314240$ |
$3.666660$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$7.48276$ |
$[0, 1, 0, -728414857, -7567136868421]$ |
\(y^2=x^3+x^2-728414857x-7567136868421\) |
38.2.0.a.1 |
$[ ]$ |
| 33744.b1 |
33744e1 |
33744.b |
33744e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 19 \cdot 37 \) |
\( - 2^{8} \cdot 3^{8} \cdot 19 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20628480$ |
$3.666660$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.98531$ |
$[0, -1, 0, -728414857, 7567136868421]$ |
\(y^2=x^3-x^2-728414857x+7567136868421\) |
38.2.0.a.1 |
$[ ]$ |
| 50616.i1 |
50616g1 |
50616.i |
50616g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( - 2^{8} \cdot 3^{14} \cdot 19 \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$21.48389153$ |
$1$ |
|
$0$ |
$82513920$ |
$4.215965$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$7.33237$ |
$[0, 0, 0, -6555733716, 204306139713652]$ |
\(y^2=x^3-6555733716x+204306139713652\) |
38.2.0.a.1 |
$[(46405816049369/40430, 423525331424600374653/40430)]$ |
| 101232.be1 |
101232h1 |
101232.be |
101232h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( - 2^{8} \cdot 3^{14} \cdot 19 \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$229.1367897$ |
$1$ |
|
$0$ |
$165027840$ |
$4.215965$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.89139$ |
$[0, 0, 0, -6555733716, -204306139713652]$ |
\(y^2=x^3-6555733716x-204306139713652\) |
38.2.0.a.1 |
$[(73064426122946472718872653974418795027852445068639329863121565024939373750501458602793078256947948804617/13330072183634636946028031796216777830783917579504, 611373841544964919912476830879539537068891963958224359917086975610809222477636645120762635715043192551261816671492212634880824723826367066309607770711184667/13330072183634636946028031796216777830783917579504)]$ |
| 134976.v1 |
134976bs1 |
134976.v |
134976bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \) |
\( - 2^{14} \cdot 3^{8} \cdot 19 \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$46.40144681$ |
$1$ |
|
$0$ |
$165027840$ |
$4.013237$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.51762$ |
$[0, -1, 0, -2913659429, -60534181287939]$ |
\(y^2=x^3-x^2-2913659429x-60534181287939\) |
38.2.0.a.1 |
$[(28284599709899743010660/385848773, 4538906283487277351004455307167217/385848773)]$ |
| 134976.bp1 |
134976l1 |
134976.bp |
134976l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \cdot 37 \) |
\( - 2^{14} \cdot 3^{8} \cdot 19 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165027840$ |
$4.013237$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.51762$ |
$[0, 1, 0, -2913659429, 60534181287939]$ |
\(y^2=x^3+x^2-2913659429x+60534181287939\) |
38.2.0.a.1 |
$[ ]$ |
| 320568.c1 |
320568c1 |
320568.c |
320568c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 19^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{8} \cdot 19^{7} \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3713126400$ |
$5.138878$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$7.13839$ |
$[0, -1, 0, -262957763497, 51901414033918909]$ |
\(y^2=x^3-x^2-262957763497x+51901414033918909\) |
38.2.0.a.1 |
$[ ]$ |
| 404928.i1 |
404928i1 |
404928.i |
404928i |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( - 2^{14} \cdot 3^{14} \cdot 19 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1320222720$ |
$4.562538$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.47357$ |
$[0, 0, 0, -26222934864, -1634449117709216]$ |
\(y^2=x^3-26222934864x-1634449117709216\) |
38.2.0.a.1 |
$[ ]$ |
| 404928.r1 |
404928r1 |
404928.r |
404928r |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 37 \) |
\( - 2^{14} \cdot 3^{14} \cdot 19 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1320222720$ |
$4.562538$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.47357$ |
$[0, 0, 0, -26222934864, 1634449117709216]$ |
\(y^2=x^3-26222934864x+1634449117709216\) |
38.2.0.a.1 |
$[ ]$ |
| 421800.a1 |
421800a1 |
421800.a |
421800a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 19 \cdot 37 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 19 \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$14.05289040$ |
$1$ |
|
$0$ |
$1113937920$ |
$4.471382$ |
$-166962959078001445737309395968/599433319281236638491$ |
$1.08685$ |
$6.36871$ |
$[0, -1, 0, -18210371433, -945855687809763]$ |
\(y^2=x^3-x^2-18210371433x-945855687809763\) |
38.2.0.a.1 |
$[(444443559/43, 7358090969574/43)]$ |
