| 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 |
| 786.m2 |
786m1 |
786.m |
786m |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 131 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$840$ |
$0.823357$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$5.19162$ |
$[1, 0, 0, -2135, 35913]$ |
\(y^2+xy=x^3-2135x+35913\) |
5.24.0-5.a.1.2, 3144.2.0.?, 15720.48.1.? |
$[]$ |
| 2358.c2 |
2358g1 |
2358.c |
2358g |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{21} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$1.372663$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$5.30598$ |
$[1, -1, 0, -19215, -969651]$ |
\(y^2+xy=x^3-x^2-19215x-969651\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 3144.2.0.?, 5240.24.0.?, 15720.48.1.? |
$[]$ |
| 6288.d2 |
6288d1 |
6288.d |
6288d |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{17} \cdot 3^{15} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$1.516504$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.90831$ |
$[0, -1, 0, -34160, -2298432]$ |
\(y^2=x^3-x^2-34160x-2298432\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 3144.2.0.?, 15720.48.1.? |
$[]$ |
| 18864.j2 |
18864bc1 |
18864.j |
18864bc |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{17} \cdot 3^{21} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$2.065811$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$5.03014$ |
$[0, 0, 0, -307443, 62365106]$ |
\(y^2=x^3-307443x+62365106\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 3144.2.0.?, 5240.24.0.?, 15720.48.1.? |
$[]$ |
| 19650.a2 |
19650g1 |
19650.a |
19650g |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$117600$ |
$1.628077$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.47802$ |
$[1, 1, 0, -53375, 4489125]$ |
\(y^2+xy=x^3+x^2-53375x+4489125\) |
5.24.0-5.a.1.1, 3144.2.0.?, 15720.48.1.? |
$[]$ |
| 25152.j2 |
25152b1 |
25152.j |
25152b |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{23} \cdot 3^{15} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$2.837161054$ |
$1$ |
|
$2$ |
$161280$ |
$1.863077$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.64723$ |
$[0, -1, 0, -136641, 18524097]$ |
\(y^2=x^3-x^2-136641x+18524097\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 3144.2.0.?, 3930.24.0.?, 15720.48.1.? |
$[(49, 3456)]$ |
| 25152.be2 |
25152bm1 |
25152.be |
25152bm |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{23} \cdot 3^{15} \cdot 131 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$0.540366220$ |
$1$ |
|
$18$ |
$161280$ |
$1.863077$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.64723$ |
$[0, 1, 0, -136641, -18524097]$ |
\(y^2=x^3+x^2-136641x-18524097\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 3144.2.0.?, 7860.24.0.?, 15720.48.1.? |
$[(591, 10368), (-219, 972)]$ |
| 38514.x2 |
38514w1 |
38514.x |
38514w |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$110040$ |
$48$ |
$1$ |
$4.697234530$ |
$1$ |
|
$2$ |
$277200$ |
$1.796312$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.38382$ |
$[1, 1, 1, -104616, -12422775]$ |
\(y^2+xy+y=x^3+x^2-104616x-12422775\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 3144.2.0.?, 15720.24.1.?, 110040.48.1.? |
$[(-165, 699)]$ |
| 58950.bl2 |
58950bu1 |
58950.bl |
58950bu |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{21} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$4.348824611$ |
$1$ |
|
$2$ |
$940800$ |
$2.177383$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.63024$ |
$[1, -1, 1, -480380, -121686753]$ |
\(y^2+xy+y=x^3-x^2-480380x-121686753\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 3144.2.0.?, 5240.24.0.?, 15720.48.1.? |
$[(-325, -9)]$ |
| 75456.cj2 |
75456ci1 |
75456.cj |
75456ci |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{23} \cdot 3^{21} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$3.485233687$ |
$1$ |
|
$0$ |
$1290240$ |
$2.412384$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.77955$ |
$[0, 0, 0, -1229772, 498920848]$ |
\(y^2=x^3-1229772x+498920848\) |
5.12.0.a.1, 120.24.0.?, 2620.24.0.?, 3144.2.0.?, 15720.48.1.? |
$[(-2479/2, 255879/2)]$ |
| 75456.co2 |
75456z1 |
75456.co |
75456z |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{23} \cdot 3^{21} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$13.42862108$ |
$1$ |
|
$0$ |
$1290240$ |
$2.412384$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.77955$ |
$[0, 0, 0, -1229772, -498920848]$ |
\(y^2=x^3-1229772x-498920848\) |
5.12.0.a.1, 120.24.0.?, 1310.24.0.?, 3144.2.0.?, 15720.48.1.? |
$[(-4460972/77, 296652168/77)]$ |
| 95106.k2 |
95106h1 |
95106.k |
95106h |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$172920$ |
$48$ |
$1$ |
$1.737633386$ |
$1$ |
|
$4$ |
$1134000$ |
$2.022305$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.27469$ |
$[1, 0, 1, -258338, -48058540]$ |
\(y^2+xy+y=x^3-258338x-48058540\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 3144.2.0.?, 15720.24.1.?, 172920.48.1.? |
$[(-240, 484)]$ |
| 102966.k2 |
102966i1 |
102966.k |
102966i |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{5} \cdot 3^{15} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$4.516715636$ |
$1$ |
|
$2$ |
$14414400$ |
$3.260956$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$5.53306$ |
$[1, 0, 1, -36639093, -81138720800]$ |
\(y^2+xy+y=x^3-36639093x-81138720800\) |
5.12.0.a.1, 120.24.0.?, 655.24.0.?, 3144.2.0.?, 15720.48.1.? |
$[(-3034, 47322)]$ |
| 115542.u2 |
115542t1 |
115542.u |
115542t |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{21} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$110040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2217600$ |
$2.345619$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.53613$ |
$[1, -1, 0, -941544, 334473376]$ |
\(y^2+xy=x^3-x^2-941544x+334473376\) |
5.12.0.a.1, 105.24.0.?, 3144.2.0.?, 15720.24.1.?, 36680.24.0.?, $\ldots$ |
$[]$ |
| 132834.h2 |
132834t1 |
132834.h |
132834t |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$204360$ |
$48$ |
$1$ |
$0.461539111$ |
$1$ |
|
$6$ |
$1814400$ |
$2.105831$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.23859$ |
$[1, 0, 1, -360819, 79261678]$ |
\(y^2+xy+y=x^3-360819x+79261678\) |
5.12.0.a.1, 65.24.0-5.a.1.1, 3144.2.0.?, 15720.24.1.?, 204360.48.1.? |
$[(92, 6798)]$ |
| 157200.cu2 |
157200bb1 |
157200.cu |
157200bb |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{17} \cdot 3^{15} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$2.434905668$ |
$1$ |
|
$4$ |
$2822400$ |
$2.321224$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.39494$ |
$[0, 1, 0, -854008, -289012012]$ |
\(y^2=x^3+x^2-854008x-289012012\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 3144.2.0.?, 15720.48.1.? |
$[(-628, 162)]$ |
| 227154.m2 |
227154i1 |
227154.m |
227154i |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 17^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$267240$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3696000$ |
$2.239964$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.18471$ |
$[1, 1, 1, -617021, 177057587]$ |
\(y^2+xy+y=x^3+x^2-617021x+177057587\) |
5.12.0.a.1, 85.24.0.?, 3144.2.0.?, 15720.24.1.?, 267240.48.1.? |
$[]$ |
| 283746.g2 |
283746g1 |
283746.g |
283746g |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 19^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$298680$ |
$48$ |
$1$ |
$5.551673467$ |
$1$ |
|
$0$ |
$6048000$ |
$2.295578$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.16372$ |
$[1, 1, 0, -770742, -247868748]$ |
\(y^2+xy=x^3+x^2-770742x-247868748\) |
5.12.0.a.1, 95.24.0.?, 3144.2.0.?, 15720.24.1.?, 298680.48.1.? |
$[(-5357/3, 26266/3)]$ |
| 285318.ba2 |
285318ba1 |
285318.ba |
285318ba |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{21} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$172920$ |
$48$ |
$1$ |
$1.754588192$ |
$1$ |
|
$4$ |
$9072000$ |
$2.571609$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.42558$ |
$[1, -1, 1, -2325038, 1297580573]$ |
\(y^2+xy+y=x^3-x^2-2325038x+1297580573\) |
5.12.0.a.1, 165.24.0.?, 3144.2.0.?, 15720.24.1.?, 57640.24.0.?, $\ldots$ |
$[(-1467, 40099)]$ |
| 308112.by2 |
308112by1 |
308112.by |
308112by |
$2$ |
$5$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{17} \cdot 3^{15} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$110040$ |
$48$ |
$1$ |
$0.816115709$ |
$1$ |
|
$4$ |
$6652800$ |
$2.489460$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.32067$ |
$[0, 1, 0, -1673856, 791709876]$ |
\(y^2=x^3+x^2-1673856x+791709876\) |
5.12.0.a.1, 140.24.0.?, 3144.2.0.?, 15720.24.1.?, 110040.48.1.? |
$[(522, 7776)]$ |
| 308898.bh2 |
308898bh1 |
308898.bh |
308898bh |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{5} \cdot 3^{21} \cdot 131^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$115315200$ |
$3.810261$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$5.57365$ |
$[1, -1, 1, -329751833, 2190745461593]$ |
\(y^2+xy+y=x^3-x^2-329751833x+2190745461593\) |
5.12.0.a.1, 40.24.0-5.a.1.7, 1965.24.0.?, 3144.2.0.?, 15720.48.1.? |
$[]$ |
| 398502.bq2 |
398502bq1 |
398502.bq |
398502bq |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{21} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$204360$ |
$48$ |
$1$ |
$2.555313336$ |
$1$ |
|
$0$ |
$14515200$ |
$2.655136$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.38865$ |
$[1, -1, 1, -3247367, -2140065313]$ |
\(y^2+xy+y=x^3-x^2-3247367x-2140065313\) |
5.12.0.a.1, 195.24.0.?, 3144.2.0.?, 15720.24.1.?, 68120.24.0.?, $\ldots$ |
$[(-54591/7, 3517324/7)]$ |
| 415794.bj2 |
415794bj1 |
415794.bj |
415794bj |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{5} \cdot 3^{15} \cdot 23^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$361560$ |
$48$ |
$1$ |
$1.515665484$ |
$1$ |
|
$4$ |
$10626000$ |
$2.391106$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.12935$ |
$[1, 0, 0, -1129426, -439212316]$ |
\(y^2+xy=x^3-1129426x-439212316\) |
5.12.0.a.1, 115.24.0.?, 3144.2.0.?, 15720.24.1.?, 361560.48.1.? |
$[(-568, 4658)]$ |
| 471600.en2 |
471600en1 |
471600.en |
471600en |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{17} \cdot 3^{21} \cdot 5^{6} \cdot 131 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$7.579322365$ |
$1$ |
|
$6$ |
$22579200$ |
$2.870529$ |
$1076291879750641/60150618144$ |
$0.97610$ |
$4.52992$ |
$[0, 0, 0, -7686075, 7795638250]$ |
\(y^2=x^3-7686075x+7795638250\) |
5.12.0.a.1, 60.24.0-5.a.1.1, 3144.2.0.?, 5240.24.0.?, 15720.48.1.? |
$[(911, 39366), (-1651, 126432)]$ |
