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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
19047851.a1 |
- |
19047851.a |
- |
$1$ |
$1$ |
\( 19047851 \) |
\( -19047851 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$14.79052757$ |
$1$ |
|
$78$ |
$$ |
$0.108092$ |
$-54526169088/19047851$ |
$[0, 0, 1, -79, 342]$ |
\(y^2+y=x^3-79x+342\) |
64921931.a1 |
- |
64921931.a |
- |
$1$ |
$1$ |
\( 64921931 \) |
\( -64921931 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$20.39878841$ |
$1$ |
|
$70$ |
$$ |
$0.234058$ |
$-533806460928/64921931$ |
$[0, 0, 1, -169, 930]$ |
\(y^2+y=x^3-169x+930\) |
67445803.a1 |
- |
67445803.a |
- |
$1$ |
$1$ |
\( 67445803 \) |
\( -67445803 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$26.51423950$ |
$1$ |
|
$62$ |
$$ |
$0.183052$ |
$-3086626816/67445803$ |
$[0, 1, 1, -30, 390]$ |
\(y^2+y=x^3+x^2-30x+390\) |
74129723.a1 |
- |
74129723.a |
- |
$1$ |
$1$ |
\( 74129723 \) |
\( -74129723 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$22.60191695$ |
$1$ |
|
$66$ |
$$ |
$0.295176$ |
$-3015943483392/74129723$ |
$[0, 0, 1, -301, 2052]$ |
\(y^2+y=x^3-301x+2052\) |
84602123.a1 |
- |
84602123.a |
- |
$1$ |
$1$ |
\( 84602123 \) |
\( -84602123 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$20.68192969$ |
$1$ |
|
$72$ |
$$ |
$0.349005$ |
$-10555342073856/84602123$ |
$[0, 0, 1, -457, 3786]$ |
\(y^2+y=x^3-457x+3786\) |
106974317.a1 |
- |
106974317.a |
- |
$1$ |
$1$ |
\( 106974317 \) |
\( 106974317 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$29.35807131$ |
$1$ |
|
$58$ |
$$ |
$0.387057$ |
$21026861362801/106974317$ |
$[1, 0, 0, -575, 5236]$ |
\(y^2+xy=x^3-575x+5236\) |
111061427.a1 |
- |
111061427.a |
- |
$1$ |
$1$ |
\( 111061427 \) |
\( 111061427 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33.42862426$ |
$1$ |
|
$50$ |
$$ |
$0.292223$ |
$1626794704081/111061427$ |
$[1, 0, 0, -245, 1366]$ |
\(y^2+xy=x^3-245x+1366\) |
117138251.a1 |
- |
117138251.a |
- |
$1$ |
$1$ |
\( 117138251 \) |
\( -117138251 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$36.51205499$ |
$1$ |
|
$50$ |
$$ |
$0.238029$ |
$-61723537408/117138251$ |
$[0, -1, 1, -82, 622]$ |
\(y^2+y=x^3-x^2-82x+622\) |
122882843.a1 |
- |
122882843.a |
- |
$1$ |
$1$ |
\( 122882843 \) |
\( -122882843 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$32.68086475$ |
$1$ |
|
$54$ |
$$ |
$0.350086$ |
$-7095597469696/122882843$ |
$[0, -1, 1, -400, 3262]$ |
\(y^2+y=x^3-x^2-400x+3262\) |
138437407.a1 |
- |
138437407.a |
- |
$1$ |
$1$ |
\( 138437407 \) |
\( 138437407 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33.01422780$ |
$1$ |
|
$56$ |
$$ |
$0.260497$ |
$349062369921/138437407$ |
$[1, -1, 1, -147, 420]$ |
\(y^2+xy+y=x^3-x^2-147x+420\) |
161759189.a1 |
- |
161759189.a |
- |
$1$ |
$1$ |
\( 161759189 \) |
\( 161759189 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$32.18947765$ |
$1$ |
|
$62$ |
$$ |
$0.267619$ |
$318891962368/161759189$ |
$[0, 1, 1, -142, 182]$ |
\(y^2+y=x^3+x^2-142x+182\) |
169624549.a1 |
- |
169624549.a |
- |
$1$ |
$1$ |
\( 169624549 \) |
\( 169624549 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$35.38965686$ |
$1$ |
|
$60$ |
$$ |
$0.268857$ |
$297007976448/169624549$ |
$[0, 0, 1, -139, 72]$ |
\(y^2+y=x^3-139x+72\) |
177858971.a1 |
- |
177858971.a |
- |
$1$ |
$1$ |
\( 177858971 \) |
\( -177858971 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$25.09168982$ |
$1$ |
|
$68$ |
$$ |
$0.429313$ |
$-34620476018688/177858971$ |
$[0, 0, 1, -679, 6840]$ |
\(y^2+y=x^3-679x+6840\) |
185220011.a1 |
- |
185220011.a |
- |
$1$ |
$1$ |
\( 185220011 \) |
\( -185220011 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$37.53295582$ |
$1$ |
|
$52$ |
$$ |
$0.389880$ |
$-12409821687808/185220011$ |
$[0, -1, 1, -482, 4290]$ |
\(y^2+y=x^3-x^2-482x+4290\) |
214371643.a1 |
- |
214371643.a |
- |
$1$ |
$1$ |
\( 214371643 \) |
\( -214371643 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33.55718048$ |
$1$ |
|
$64$ |
$$ |
$0.288309$ |
$-111701610496/214371643$ |
$[0, 1, 1, -100, 770]$ |
\(y^2+y=x^3+x^2-100x+770\) |
232113701.a1 |
- |
232113701.a |
- |
$1$ |
$1$ |
\( 232113701 \) |
\( 232113701 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$46.84586516$ |
$1$ |
|
$54$ |
$$ |
$0.825884$ |
$68069240313278464/232113701$ |
$[0, 1, 1, -8506, 299132]$ |
\(y^2+y=x^3+x^2-8506x+299132\) |
238055563.a1 |
- |
238055563.a |
- |
$1$ |
$1$ |
\( 238055563 \) |
\( -238055563 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$38.28603320$ |
$1$ |
|
$52$ |
$$ |
$0.328100$ |
$-1088912207872/238055563$ |
$[0, 1, 1, -214, 1346]$ |
\(y^2+y=x^3+x^2-214x+1346\) |
271522949.a1 |
- |
271522949.a |
- |
$1$ |
$1$ |
\( 271522949 \) |
\( 271522949 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$41.47171113$ |
$1$ |
|
$52$ |
$$ |
$0.367385$ |
$4059246481408/271522949$ |
$[0, 1, 1, -332, 2082]$ |
\(y^2+y=x^3+x^2-332x+2082\) |
288935749.a1 |
- |
288935749.a |
- |
$1$ |
$1$ |
\( 288935749 \) |
\( 288935749 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$30.84778361$ |
$1$ |
|
$70$ |
$$ |
$0.347648$ |
$1921423085568/288935749$ |
$[0, 0, 1, -259, 1380]$ |
\(y^2+y=x^3-259x+1380\) |