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 |
19047851.a1 |
- |
19047851.a |
- |
$1$ |
$1$ |
\( 19047851 \) |
\( -19047851 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$38095702$ |
$2$ |
$0$ |
$14.79052757$ |
$1$ |
|
$78$ |
|
$0.108092$ |
$-54526169088/19047851$ |
$0.66854$ |
$1.50301$ |
$[0, 0, 1, -79, 342]$ |
\(y^2+y=x^3-79x+342\) |
38095702.2.0.? |
$[(3, 11), (7, 11), (10, 23), (-6, 24), (4, 9)]$ |
64921931.a1 |
- |
64921931.a |
- |
$1$ |
$1$ |
\( 64921931 \) |
\( -64921931 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$129843862$ |
$2$ |
$0$ |
$20.39878841$ |
$1$ |
|
$70$ |
|
$0.234058$ |
$-533806460928/64921931$ |
$0.74611$ |
$1.51173$ |
$[0, 0, 1, -169, 930]$ |
\(y^2+y=x^3-169x+930\) |
129843862.2.0.? |
$[(8, 9), (7, 9), (6, 11), (0, 30), (20, 74)]$ |
67445803.a1 |
- |
67445803.a |
- |
$1$ |
$1$ |
\( 67445803 \) |
\( -67445803 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$134891606$ |
$2$ |
$0$ |
$26.51423950$ |
$1$ |
|
$62$ |
|
$0.183052$ |
$-3086626816/67445803$ |
$0.60990$ |
$1.41498$ |
$[0, 1, 1, -30, 390]$ |
\(y^2+y=x^3+x^2-30x+390\) |
134891606.2.0.? |
$[(2, 18), (-9, 3), (-7, 17), (-4, 21), (15, 59)]$ |
74129723.a1 |
- |
74129723.a |
- |
$1$ |
$1$ |
\( 74129723 \) |
\( -74129723 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$148259446$ |
$2$ |
$0$ |
$22.60191695$ |
$1$ |
|
$66$ |
|
$0.295176$ |
$-3015943483392/74129723$ |
$0.61565$ |
$1.58799$ |
$[0, 0, 1, -301, 2052]$ |
\(y^2+y=x^3-301x+2052\) |
148259446.2.0.? |
$[(10, 6), (9, 8), (8, 12), (11, 8), (19, 56)]$ |
84602123.a1 |
- |
84602123.a |
- |
$1$ |
$1$ |
\( 84602123 \) |
\( -84602123 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$169204246$ |
$2$ |
$0$ |
$20.68192969$ |
$1$ |
|
$72$ |
|
$0.349005$ |
$-10555342073856/84602123$ |
$0.62988$ |
$1.64360$ |
$[0, 0, 1, -457, 3786]$ |
\(y^2+y=x^3-457x+3786\) |
169204246.2.0.? |
$[(11, 9), (14, 11), (15, 17), (12, 5), (13, 6)]$ |
106974317.a1 |
- |
106974317.a |
- |
$1$ |
$1$ |
\( 106974317 \) |
\( 106974317 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$213948634$ |
$2$ |
$0$ |
$29.35807131$ |
$1$ |
|
$58$ |
|
$0.387057$ |
$21026861362801/106974317$ |
$0.66922$ |
$1.65927$ |
$[1, 0, 0, -575, 5236]$ |
\(y^2+xy=x^3-575x+5236\) |
213948634.2.0.? |
$[(13, -6), (15, -1), (12, 4), (16, 6), (11, 11)]$ |
111061427.a1 |
- |
111061427.a |
- |
$1$ |
$1$ |
\( 111061427 \) |
\( 111061427 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$444245708$ |
$2$ |
$0$ |
$33.42862426$ |
$1$ |
|
$50$ |
|
$0.292223$ |
$1626794704081/111061427$ |
$0.64363$ |
$1.51777$ |
$[1, 0, 0, -245, 1366]$ |
\(y^2+xy=x^3-245x+1366\) |
444245708.2.0.? |
$[(6, 8), (5, 14), (7, -6), (15, 26), (13, 14)]$ |
117138251.a1 |
- |
117138251.a |
- |
$1$ |
$1$ |
\( 117138251 \) |
\( -117138251 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$234276502$ |
$2$ |
$0$ |
$36.51205499$ |
$1$ |
|
$50$ |
|
$0.238029$ |
$-61723537408/117138251$ |
$0.59920$ |
$1.41557$ |
$[0, -1, 1, -82, 622]$ |
\(y^2+y=x^3-x^2-82x+622\) |
234276502.2.0.? |
$[(4, 18), (7, 18), (-4, 29), (11, 30), (2, 21)]$ |
122882843.a1 |
- |
122882843.a |
- |
$1$ |
$1$ |
\( 122882843 \) |
\( -122882843 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$245765686$ |
$2$ |
$0$ |
$32.68086475$ |
$1$ |
|
$54$ |
|
$0.350086$ |
$-7095597469696/122882843$ |
$0.63273$ |
$1.59019$ |
$[0, -1, 1, -400, 3262]$ |
\(y^2+y=x^3-x^2-400x+3262\) |
245765686.2.0.? |
$[(11, 8), (13, 9), (14, 14), (7, 27), (20, 53)]$ |
138437407.a1 |
- |
138437407.a |
- |
$1$ |
$1$ |
\( 138437407 \) |
\( 138437407 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$553749628$ |
$2$ |
$0$ |
$33.01422780$ |
$1$ |
|
$56$ |
|
$0.260497$ |
$349062369921/138437407$ |
$0.64487$ |
$1.41783$ |
$[1, -1, 1, -147, 420]$ |
\(y^2+xy+y=x^3-x^2-147x+420\) |
553749628.2.0.? |
$[(2, 10), (11, 1), (0, 20), (-6, 35), (3, -3)]$ |
161759189.a1 |
- |
161759189.a |
- |
$1$ |
$1$ |
\( 161759189 \) |
\( 161759189 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$323518378$ |
$2$ |
$0$ |
$32.18947765$ |
$1$ |
|
$62$ |
|
$0.267619$ |
$318891962368/161759189$ |
$0.60564$ |
$1.40137$ |
$[0, 1, 1, -142, 182]$ |
\(y^2+y=x^3+x^2-142x+182\) |
323518378.2.0.? |
$[(0, 13), (11, 8), (-2, 21), (1, 6), (13, 26)]$ |
169624549.a1 |
- |
169624549.a |
- |
$1$ |
$1$ |
\( 169624549 \) |
\( 169624549 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$339249098$ |
$2$ |
$0$ |
$35.38965686$ |
$1$ |
|
$60$ |
|
$0.268857$ |
$297007976448/169624549$ |
$0.66514$ |
$1.39410$ |
$[0, 0, 1, -139, 72]$ |
\(y^2+y=x^3-139x+72\) |
339249098.2.0.? |
$[(-1, 14), (-7, 26), (0, 8), (-2, 18), (-12, 3)]$ |
177858971.a1 |
- |
177858971.a |
- |
$1$ |
$1$ |
\( 177858971 \) |
\( -177858971 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$355717942$ |
$2$ |
$0$ |
$25.09168982$ |
$1$ |
|
$68$ |
|
$0.429313$ |
$-34620476018688/177858971$ |
$0.63235$ |
$1.64158$ |
$[0, 0, 1, -679, 6840]$ |
\(y^2+y=x^3-679x+6840\) |
355717942.2.0.? |
$[(16, 8), (11, 26), (13, 14), (17, 14), (15, 5)]$ |
185220011.a1 |
- |
185220011.a |
- |
$1$ |
$1$ |
\( 185220011 \) |
\( -185220011 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$370440022$ |
$2$ |
$0$ |
$37.53295582$ |
$1$ |
|
$52$ |
|
$0.389880$ |
$-12409821687808/185220011$ |
$0.63278$ |
$1.58507$ |
$[0, -1, 1, -482, 4290]$ |
\(y^2+y=x^3-x^2-482x+4290\) |
370440022.2.0.? |
$[(12, 9), (9, 24), (14, 9), (15, 14), (3, 53)]$ |
214371643.a1 |
- |
214371643.a |
- |
$1$ |
$1$ |
\( 214371643 \) |
\( -214371643 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$428743286$ |
$2$ |
$0$ |
$33.55718048$ |
$1$ |
|
$64$ |
|
$0.288309$ |
$-111701610496/214371643$ |
$0.59765$ |
$1.40234$ |
$[0, 1, 1, -100, 770]$ |
\(y^2+y=x^3+x^2-100x+770\) |
428743286.2.0.? |
$[(7, 21), (-1, 29), (11, 33), (22, 98), (-4, 33)]$ |
232113701.a1 |
- |
232113701.a |
- |
$1$ |
$1$ |
\( 232113701 \) |
\( 232113701 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$464227402$ |
$2$ |
$0$ |
$46.84586516$ |
$1$ |
|
$54$ |
|
$0.825884$ |
$68069240313278464/232113701$ |
$0.75322$ |
$2.01214$ |
$[0, 1, 1, -8506, 299132]$ |
\(y^2+y=x^3+x^2-8506x+299132\) |
464227402.2.0.? |
$[(53, 0), (52, 11), (55, 26), (50, 36), (33, 235)]$ |
238055563.a1 |
- |
238055563.a |
- |
$1$ |
$1$ |
\( 238055563 \) |
\( -238055563 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$476111126$ |
$2$ |
$0$ |
$38.28603320$ |
$1$ |
|
$52$ |
|
$0.328100$ |
$-1088912207872/238055563$ |
$0.60473$ |
$1.45358$ |
$[0, 1, 1, -214, 1346]$ |
\(y^2+y=x^3+x^2-214x+1346\) |
476111126.2.0.? |
$[(10, 17), (-1, 39), (2, 30), (12, 25), (8, 14)]$ |
271522949.a1 |
- |
271522949.a |
- |
$1$ |
$1$ |
\( 271522949 \) |
\( 271522949 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$543045898$ |
$2$ |
$0$ |
$41.47171113$ |
$1$ |
|
$52$ |
|
$0.367385$ |
$4059246481408/271522949$ |
$0.61428$ |
$1.49499$ |
$[0, 1, 1, -332, 2082]$ |
\(y^2+y=x^3+x^2-332x+2082\) |
543045898.2.0.? |
$[(13, 11), (6, 18), (3, 33), (8, 1), (17, 40)]$ |
288935749.a1 |
- |
288935749.a |
- |
$1$ |
$1$ |
\( 288935749 \) |
\( 288935749 \) |
$5$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$577871498$ |
$2$ |
$0$ |
$30.84778361$ |
$1$ |
|
$70$ |
|
$0.347648$ |
$1921423085568/288935749$ |
$0.58763$ |
$1.45183$ |
$[0, 0, 1, -259, 1380]$ |
\(y^2+y=x^3-259x+1380\) |
577871498.2.0.? |
$[(15, 29), (16, 36), (2, 29), (6, 6), (1, 33)]$ |