| 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.f1 |
786f2 |
786.f |
786f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3144$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$456$ |
$0.205735$ |
$333822098953/53954184$ |
$0.92728$ |
$3.97991$ |
$[1, 0, 1, -145, -580]$ |
\(y^2+xy+y=x^3-145x-580\) |
3.8.0-3.a.1.1, 3144.16.0.? |
$[]$ |
| 2358.y1 |
2358x2 |
2358.y |
2358x |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 131^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3144$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3648$ |
$0.755041$ |
$333822098953/53954184$ |
$0.92728$ |
$4.26569$ |
$[1, -1, 1, -1301, 15653]$ |
\(y^2+xy+y=x^3-x^2-1301x+15653\) |
3.8.0-3.a.1.2, 3144.16.0.? |
$[]$ |
| 6288.a1 |
6288i2 |
6288.a |
6288i |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{15} \cdot 3 \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$0.340051671$ |
$1$ |
|
$6$ |
$10944$ |
$0.898882$ |
$333822098953/53954184$ |
$0.92728$ |
$3.98468$ |
$[0, -1, 0, -2312, 37104]$ |
\(y^2=x^3-x^2-2312x+37104\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 3144.16.0.? |
$[(-38, 262)]$ |
| 18864.bg1 |
18864x2 |
18864.bg |
18864x |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{7} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$1.783130738$ |
$1$ |
|
$4$ |
$87552$ |
$1.448189$ |
$333822098953/53954184$ |
$0.92728$ |
$4.20958$ |
$[0, 0, 0, -20811, -980998]$ |
\(y^2=x^3-20811x-980998\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 3144.16.0.? |
$[(-107, 144)]$ |
| 19650.s1 |
19650s2 |
19650.s |
19650s |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 5^{6} \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49248$ |
$1.010454$ |
$333822098953/53954184$ |
$0.92728$ |
$3.66085$ |
$[1, 1, 1, -3613, -72469]$ |
\(y^2+xy+y=x^3+x^2-3613x-72469\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 3144.8.0.?, 15720.16.0.? |
$[]$ |
| 25152.u1 |
25152h2 |
25152.u |
25152h |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87552$ |
$1.245455$ |
$333822098953/53954184$ |
$0.92728$ |
$3.84997$ |
$[0, -1, 0, -9249, -287583]$ |
\(y^2=x^3-x^2-9249x-287583\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 786.8.0.?, 3144.16.0.? |
$[]$ |
| 25152.bp1 |
25152bk2 |
25152.bp |
25152bk |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$5.039325582$ |
$1$ |
|
$2$ |
$87552$ |
$1.245455$ |
$333822098953/53954184$ |
$0.92728$ |
$3.84997$ |
$[0, 1, 0, -9249, 287583]$ |
\(y^2=x^3+x^2-9249x+287583\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 1572.8.0.?, 3144.16.0.? |
$[(-94, 579)]$ |
| 38514.i1 |
38514g2 |
38514.i |
38514g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 7^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22008$ |
$16$ |
$0$ |
$2.292498526$ |
$1$ |
|
$0$ |
$106704$ |
$1.178690$ |
$333822098953/53954184$ |
$0.92728$ |
$3.61873$ |
$[1, 1, 0, -7081, 191773]$ |
\(y^2+xy=x^3+x^2-7081x+191773\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 3144.8.0.?, 22008.16.0.? |
$[(123/2, 401/2)]$ |
| 58950.a1 |
58950ba2 |
58950.a |
58950ba |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15720$ |
$16$ |
$0$ |
$0.647012297$ |
$1$ |
|
$4$ |
$393984$ |
$1.559759$ |
$333822098953/53954184$ |
$0.92728$ |
$3.89480$ |
$[1, -1, 0, -32517, 1924141]$ |
\(y^2+xy=x^3-x^2-32517x+1924141\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 3144.8.0.?, 15720.16.0.? |
$[(53, 563)]$ |
| 75456.c1 |
75456dk2 |
75456.c |
75456dk |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 131^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$0.512240263$ |
$1$ |
|
$14$ |
$700416$ |
$1.794762$ |
$333822098953/53954184$ |
$0.92728$ |
$4.06028$ |
$[0, 0, 0, -83244, -7847984]$ |
\(y^2=x^3-83244x-7847984\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 1572.8.0.?, 3144.16.0.? |
$[(1802, 75456), (-163, 1179)]$ |
| 75456.h1 |
75456u2 |
75456.h |
75456u |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$700416$ |
$1.794762$ |
$333822098953/53954184$ |
$0.92728$ |
$4.06028$ |
$[0, 0, 0, -83244, 7847984]$ |
\(y^2=x^3-83244x+7847984\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 786.8.0.?, 3144.16.0.? |
$[]$ |
| 95106.w1 |
95106ba2 |
95106.w |
95106ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 11^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$34584$ |
$16$ |
$0$ |
$1.370049867$ |
$1$ |
|
$2$ |
$615600$ |
$1.404682$ |
$333822098953/53954184$ |
$0.92728$ |
$3.56993$ |
$[1, 0, 0, -17487, 754161]$ |
\(y^2+xy=x^3-17487x+754161\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 3144.8.0.?, 34584.16.0.? |
$[(-40, 1199)]$ |
| 102966.u1 |
102966ba2 |
102966.u |
102966ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{3} \cdot 3 \cdot 131^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7824960$ |
$2.643333$ |
$333822098953/53954184$ |
$0.92728$ |
$4.83316$ |
$[1, 0, 0, -2480122, 1276050716]$ |
\(y^2+xy=x^3-2480122x+1276050716\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 393.8.0.?, 3144.16.0.? |
$[]$ |
| 115542.be1 |
115542bw2 |
115542.be |
115542bw |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 7^{6} \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22008$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$853632$ |
$1.727997$ |
$333822098953/53954184$ |
$0.92728$ |
$3.84314$ |
$[1, -1, 1, -63734, -5241603]$ |
\(y^2+xy+y=x^3-x^2-63734x-5241603\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 3144.8.0.?, 22008.16.0.? |
$[]$ |
| 132834.be1 |
132834i2 |
132834.be |
132834i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 13^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$40872$ |
$16$ |
$0$ |
$5.809651950$ |
$1$ |
|
$0$ |
$1050624$ |
$1.488209$ |
$333822098953/53954184$ |
$0.92728$ |
$3.55379$ |
$[1, 0, 0, -24424, -1249288]$ |
\(y^2+xy=x^3-24424x-1249288\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 3144.8.0.?, 40872.16.0.? |
$[(-2681/6, 93895/6)]$ |
| 157200.cz1 |
157200be2 |
157200.cz |
157200be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{15} \cdot 3 \cdot 5^{6} \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1181952$ |
$1.703602$ |
$333822098953/53954184$ |
$0.92728$ |
$3.71979$ |
$[0, 1, 0, -57808, 4522388]$ |
\(y^2=x^3+x^2-57808x+4522388\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 3144.8.0.?, 15720.16.0.? |
$[]$ |
| 227154.d1 |
227154w2 |
227154.d |
227154w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 17^{6} \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$53448$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2298240$ |
$1.622341$ |
$333822098953/53954184$ |
$0.92728$ |
$3.52970$ |
$[1, 1, 0, -41766, -2806548]$ |
\(y^2+xy=x^3+x^2-41766x-2806548\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 3144.8.0.?, 53448.16.0.? |
$[]$ |
| 283746.v1 |
283746v2 |
283746.v |
283746v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 19^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$59736$ |
$16$ |
$0$ |
$1.870324337$ |
$1$ |
|
$2$ |
$3151872$ |
$1.677954$ |
$333822098953/53954184$ |
$0.92728$ |
$3.52032$ |
$[1, 1, 1, -52172, 3872165]$ |
\(y^2+xy+y=x^3+x^2-52172x+3872165\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 3144.8.0.?, 59736.16.0.? |
$[(55, 1055)]$ |
| 285318.u1 |
285318u2 |
285318.u |
285318u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 11^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$34584$ |
$16$ |
$0$ |
$5.709393783$ |
$1$ |
|
$0$ |
$4924800$ |
$1.953989$ |
$333822098953/53954184$ |
$0.92728$ |
$3.78247$ |
$[1, -1, 0, -157383, -20362347]$ |
\(y^2+xy=x^3-x^2-157383x-20362347\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 3144.8.0.?, 34584.16.0.? |
$[(-621/2, 5085/2)]$ |
| 308112.ck1 |
308112ck2 |
308112.ck |
308112ck |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{15} \cdot 3 \cdot 7^{6} \cdot 131^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22008$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2560896$ |
$1.871838$ |
$333822098953/53954184$ |
$0.92728$ |
$3.68146$ |
$[0, 1, 0, -113304, -12500076]$ |
\(y^2=x^3+x^2-113304x-12500076\) |
3.4.0.a.1, 84.8.0.?, 3144.8.0.?, 22008.16.0.? |
$[]$ |
| 308898.z1 |
308898z2 |
308898.z |
308898z |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 131^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3144$ |
$16$ |
$0$ |
$17.99687197$ |
$1$ |
|
$0$ |
$62599680$ |
$3.192638$ |
$333822098953/53954184$ |
$0.92728$ |
$4.93457$ |
$[1, -1, 0, -22321098, -34453369332]$ |
\(y^2+xy=x^3-x^2-22321098x-34453369332\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 393.8.0.?, 3144.16.0.? |
$[(-17333053989/3094, 171108393785211/3094)]$ |
| 398502.a1 |
398502a2 |
398502.a |
398502a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 13^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$40872$ |
$16$ |
$0$ |
$0.540778883$ |
$1$ |
|
$4$ |
$8404992$ |
$2.037518$ |
$333822098953/53954184$ |
$0.92728$ |
$3.76219$ |
$[1, -1, 0, -219816, 33730776]$ |
\(y^2+xy=x^3-x^2-219816x+33730776\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 3144.8.0.?, 40872.16.0.? |
$[(2181, 98535)]$ |
| 415794.w1 |
415794w2 |
415794.w |
415794w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{3} \cdot 3 \cdot 23^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$72312$ |
$16$ |
$0$ |
$22.08024506$ |
$1$ |
|
$0$ |
$5688144$ |
$1.773481$ |
$333822098953/53954184$ |
$0.92728$ |
$3.50495$ |
$[1, 0, 1, -76452, 6900922]$ |
\(y^2+xy+y=x^3-76452x+6900922\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 3144.8.0.?, 72312.16.0.? |
$[(-2372138705/2954, 74615025628669/2954)]$ |
| 471600.fr1 |
471600fr2 |
471600.fr |
471600fr |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 131^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15720$ |
$16$ |
$0$ |
$8.152321772$ |
$1$ |
|
$0$ |
$9455616$ |
$2.252907$ |
$333822098953/53954184$ |
$0.92728$ |
$3.91154$ |
$[0, 0, 0, -520275, -122624750]$ |
\(y^2=x^3-520275x-122624750\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 3144.8.0.?, 15720.16.0.? |
$[(-17569/7, 1448154/7)]$ |
