| 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 |
| 15979.a1 |
15979e1 |
15979.a |
15979e |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{7} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$25.15250894$ |
$1$ |
|
$0$ |
$564480$ |
$2.667282$ |
$-1484040633094144/751746132499$ |
$0.96102$ |
$5.76154$ |
$[0, -1, 1, -1998496, -1488493882]$ |
\(y^2+y=x^3-x^2-1998496x-1488493882\) |
38.2.0.a.1 |
$[(2020042916239/21753, 2679425678253268916/21753)]$ |
| 15979.b1 |
15979c1 |
15979.b |
15979c |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.363412884$ |
$1$ |
|
$6$ |
$20160$ |
$1.135052$ |
$357911/10469$ |
$0.80684$ |
$3.81182$ |
$[1, 1, 1, 1244, -118350]$ |
\(y^2+xy+y=x^3+x^2+1244x-118350\) |
116.2.0.? |
$[(60, 390)]$ |
| 15979.c1 |
15979i1 |
15979.c |
15979i |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.517383926$ |
$1$ |
|
$4$ |
$2688$ |
$0.014987$ |
$79507/361$ |
$0.79499$ |
$2.40821$ |
$[1, 1, 1, 26, 144]$ |
\(y^2+xy+y=x^3+x^2+26x+144\) |
116.2.0.? |
$[(2, 13)]$ |
| 15979.d1 |
15979g1 |
15979.d |
15979g |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{4} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$246848$ |
$2.191429$ |
$65450827/130321$ |
$0.87967$ |
$5.08261$ |
$[1, 0, 0, 204766, -55700143]$ |
\(y^2+xy=x^3+204766x-55700143\) |
116.2.0.? |
$[]$ |
| 15979.e1 |
15979a3 |
15979.e |
15979a |
$3$ |
$9$ |
\( 19 \cdot 29^{2} \) |
\( - 19 \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$29754$ |
$1296$ |
$43$ |
$37.78583381$ |
$1$ |
|
$0$ |
$72576$ |
$1.717087$ |
$-50357871050752/19$ |
$1.10495$ |
$5.34702$ |
$[0, -1, 1, -647009, -200099543]$ |
\(y^2+y=x^3-x^2-647009x-200099543\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 87.8.0.?, $\ldots$ |
$[(645362744104339909/14705775, 497137070572123628980668952/14705775)]$ |
| 15979.e2 |
15979a2 |
15979.e |
15979a |
$3$ |
$9$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{3} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$29754$ |
$1296$ |
$43$ |
$12.59527793$ |
$1$ |
|
$0$ |
$24192$ |
$1.167782$ |
$-89915392/6859$ |
$1.03310$ |
$3.99234$ |
$[0, -1, 1, -7849, -282148]$ |
\(y^2+y=x^3-x^2-7849x-282148\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 87.24.0.?, 114.24.1.?, $\ldots$ |
$[(5951464/225, 7252349563/225)]$ |
| 15979.e3 |
15979a1 |
15979.e |
15979a |
$3$ |
$9$ |
\( 19 \cdot 29^{2} \) |
\( - 19 \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$29754$ |
$1296$ |
$43$ |
$4.198425979$ |
$1$ |
|
$0$ |
$8064$ |
$0.618475$ |
$32768/19$ |
$1.31757$ |
$3.16158$ |
$[0, -1, 1, 561, -413]$ |
\(y^2+y=x^3-x^2+561x-413\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 87.8.0.?, $\ldots$ |
$[(85/9, 9307/9)]$ |
| 15979.f1 |
15979b1 |
15979.f |
15979b |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.690525404$ |
$1$ |
|
$2$ |
$20160$ |
$1.205265$ |
$-148035889/10469$ |
$0.91427$ |
$4.04297$ |
$[1, 1, 0, -9268, 359969]$ |
\(y^2+xy=x^3+x^2-9268x+359969\) |
116.2.0.? |
$[(-56, 869)]$ |
| 15979.g1 |
15979h1 |
15979.g |
15979h |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{4} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.838428276$ |
$1$ |
|
$2$ |
$8512$ |
$0.507780$ |
$65450827/130321$ |
$0.87967$ |
$2.99523$ |
$[1, 1, 0, 244, -2183]$ |
\(y^2+xy=x^3+x^2+244x-2183\) |
116.2.0.? |
$[(8, 15)]$ |
| 15979.h1 |
15979f1 |
15979.h |
15979f |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19^{2} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$77952$ |
$1.698635$ |
$79507/361$ |
$0.79499$ |
$4.49559$ |
$[1, 0, 1, 21848, 3254167]$ |
\(y^2+xy+y=x^3+21848x+3254167\) |
116.2.0.? |
$[]$ |
| 15979.i1 |
15979d1 |
15979.i |
15979d |
$1$ |
$1$ |
\( 19 \cdot 29^{2} \) |
\( - 19 \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$8.679555669$ |
$1$ |
|
$0$ |
$80640$ |
$1.529001$ |
$-174115016704/15979$ |
$0.87525$ |
$4.76152$ |
$[0, -1, 1, -97836, 11812273]$ |
\(y^2+y=x^3-x^2-97836x+11812273\) |
38.2.0.a.1 |
$[(792949/66, 11385521/66)]$ |
