| 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 |
| 1310.c1 |
1310c1 |
1310.c |
1310c |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 131 \) |
\( - 2^{5} \cdot 5^{5} \cdot 131 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$5240$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$260$ |
$0.097390$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.55122$ |
$[1, 1, 1, -95, 357]$ |
\(y^2+xy+y=x^3+x^2-95x+357\) |
5.24.0-5.a.1.2, 5240.48.1.? |
$[]$ |
| 6550.e1 |
6550a1 |
6550.e |
6550a |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{11} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$5240$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6240$ |
$0.902108$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.99973$ |
$[1, 0, 1, -2376, 49398]$ |
\(y^2+xy+y=x^3-2376x+49398\) |
5.24.0-5.a.1.1, 5240.48.1.? |
$[]$ |
| 10480.j1 |
10480k1 |
10480.j |
10480k |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 131 \) |
\( - 2^{17} \cdot 5^{5} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$0.755503149$ |
$1$ |
|
$4$ |
$6240$ |
$0.790537$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.65203$ |
$[0, 1, 0, -1520, -25900]$ |
\(y^2=x^3+x^2-1520x-25900\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 5240.48.1.? |
$[(50, 160)]$ |
| 11790.b1 |
11790a1 |
11790.b |
11790a |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 131 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{5} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7800$ |
$0.646696$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.42203$ |
$[1, -1, 0, -855, -10499]$ |
\(y^2+xy=x^3-x^2-855x-10499\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 5240.24.1.?, 15720.48.1.? |
$[]$ |
| 41920.m1 |
41920bc1 |
41920.m |
41920bc |
$2$ |
$5$ |
\( 2^{6} \cdot 5 \cdot 131 \) |
\( - 2^{23} \cdot 5^{5} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$4.531968738$ |
$1$ |
|
$0$ |
$49920$ |
$1.137110$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.56710$ |
$[0, -1, 0, -6081, -201119]$ |
\(y^2=x^3-x^2-6081x-201119\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 2620.24.0.?, 5240.48.1.? |
$[(1357/3, 40832/3)]$ |
| 41920.ba1 |
41920a1 |
41920.ba |
41920a |
$2$ |
$5$ |
\( 2^{6} \cdot 5 \cdot 131 \) |
\( - 2^{23} \cdot 5^{5} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$1.653579932$ |
$1$ |
|
$2$ |
$49920$ |
$1.137110$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.56710$ |
$[0, 1, 0, -6081, 201119]$ |
\(y^2=x^3+x^2-6081x+201119\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 1310.24.0.?, 5240.48.1.? |
$[(91, 640)]$ |
| 52400.m1 |
52400o1 |
52400.m |
52400o |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 131 \) |
\( - 2^{17} \cdot 5^{11} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$1.595255$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.99978$ |
$[0, -1, 0, -38008, -3161488]$ |
\(y^2=x^3-x^2-38008x-3161488\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 5240.48.1.? |
$[]$ |
| 58950.by1 |
58950bp1 |
58950.by |
58950bp |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{11} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$2.849648010$ |
$1$ |
|
$2$ |
$187200$ |
$1.451414$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.79975$ |
$[1, -1, 1, -21380, -1333753]$ |
\(y^2+xy+y=x^3-x^2-21380x-1333753\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 5240.24.1.?, 15720.48.1.? |
$[(1039, 32605)]$ |
| 64190.q1 |
64190m1 |
64190.q |
64190m |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{5} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$36680$ |
$48$ |
$1$ |
$3.726629019$ |
$1$ |
|
$2$ |
$93600$ |
$1.070345$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.35742$ |
$[1, 0, 0, -4656, -136480]$ |
\(y^2+xy=x^3-4656x-136480\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 5240.24.1.?, 36680.48.1.? |
$[(466, 9714)]$ |
| 94320.t1 |
94320bc1 |
94320.t |
94320bc |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 131 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{5} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$187200$ |
$1.339844$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.52695$ |
$[0, 0, 0, -13683, 685618]$ |
\(y^2=x^3-13683x+685618\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 5240.24.1.?, 15720.48.1.? |
$[]$ |
| 158510.b1 |
158510i1 |
158510.b |
158510i |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{5} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$57640$ |
$48$ |
$1$ |
$1.862639214$ |
$1$ |
|
$2$ |
$364000$ |
$1.296337$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.33044$ |
$[1, 1, 0, -11497, -532891]$ |
\(y^2+xy=x^3+x^2-11497x-532891\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 5240.24.1.?, 57640.48.1.? |
$[(193, 2021)]$ |
| 171610.b1 |
171610h1 |
171610.b |
171610h |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 131^{2} \) |
\( - 2^{5} \cdot 5^{5} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$1.743672201$ |
$1$ |
|
$2$ |
$4461600$ |
$2.534988$ |
$-94881210481/13100000$ |
$0.86563$ |
$4.54170$ |
$[1, 1, 0, -1630652, -892653776]$ |
\(y^2+xy=x^3+x^2-1630652x-892653776\) |
5.12.0.a.1, 40.24.0-5.a.1.8, 655.24.0.?, 5240.48.1.? |
$[(1779, 42013)]$ |
| 209600.bg1 |
209600cq1 |
209600.bg |
209600cq |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 131 \) |
\( - 2^{23} \cdot 5^{11} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$1.445671257$ |
$1$ |
|
$2$ |
$1198080$ |
$1.941830$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.88666$ |
$[0, -1, 0, -152033, 25443937]$ |
\(y^2=x^3-x^2-152033x+25443937\) |
5.12.0.a.1, 40.24.0-5.a.1.4, 1310.24.0.?, 5240.48.1.? |
$[(147, 2500)]$ |
| 209600.cj1 |
209600bg1 |
209600.cj |
209600bg |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 131 \) |
\( - 2^{23} \cdot 5^{11} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5240$ |
$48$ |
$1$ |
$7.553363504$ |
$1$ |
|
$0$ |
$1198080$ |
$1.941830$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.88666$ |
$[0, 1, 0, -152033, -25443937]$ |
\(y^2=x^3+x^2-152033x-25443937\) |
5.12.0.a.1, 40.24.0-5.a.1.2, 2620.24.0.?, 5240.48.1.? |
$[(114713/11, 34795000/11)]$ |
| 221390.d1 |
221390q1 |
221390.d |
221390q |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 13^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{5} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$68120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$608400$ |
$1.379864$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.32147$ |
$[1, 1, 0, -16058, 865012]$ |
\(y^2+xy=x^3+x^2-16058x+865012\) |
5.12.0.a.1, 65.24.0-5.a.1.1, 5240.24.1.?, 68120.48.1.? |
$[]$ |
| 320950.q1 |
320950q1 |
320950.q |
320950q |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{11} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$36680$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2246400$ |
$1.875063$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.69286$ |
$[1, 1, 0, -116400, -17060000]$ |
\(y^2+xy=x^3+x^2-116400x-17060000\) |
5.12.0.a.1, 35.24.0-5.a.1.1, 5240.24.1.?, 36680.48.1.? |
$[]$ |
| 377280.cm1 |
377280cm1 |
377280.cm |
377280cm |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 131 \) |
\( - 2^{23} \cdot 3^{6} \cdot 5^{5} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1497600$ |
$1.686417$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.47006$ |
$[0, 0, 0, -54732, -5484944]$ |
\(y^2=x^3-54732x-5484944\) |
5.12.0.a.1, 120.24.0.?, 3930.24.0.?, 5240.24.1.?, 15720.48.1.? |
$[]$ |
| 377280.dr1 |
377280dr1 |
377280.dr |
377280dr |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 131 \) |
\( - 2^{23} \cdot 3^{6} \cdot 5^{5} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1497600$ |
$1.686417$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.47006$ |
$[0, 0, 0, -54732, 5484944]$ |
\(y^2=x^3-54732x+5484944\) |
5.12.0.a.1, 120.24.0.?, 5240.24.1.?, 7860.24.0.?, 15720.48.1.? |
$[]$ |
| 378590.o1 |
378590o1 |
378590.o |
378590o |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 17^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{5} \cdot 17^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$89080$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1310400$ |
$1.513996$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.30804$ |
$[1, 0, 0, -27461, 1947041]$ |
\(y^2+xy=x^3-27461x+1947041\) |
5.12.0.a.1, 85.24.0.?, 5240.24.1.?, 89080.48.1.? |
$[]$ |
| 471600.cb1 |
471600cb1 |
471600.cb |
471600cb |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{11} \cdot 131 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15720$ |
$48$ |
$1$ |
$3.643647190$ |
$1$ |
|
$6$ |
$4492800$ |
$2.144562$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.83163$ |
$[0, 0, 0, -342075, 85702250]$ |
\(y^2=x^3-342075x+85702250\) |
5.12.0.a.1, 60.24.0-5.a.1.1, 5240.24.1.?, 15720.48.1.? |
$[(845, 20000), (1505/2, 25625/2)]$ |
| 472910.c1 |
472910c1 |
472910.c |
472910c |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 19^{2} \cdot 131 \) |
\( - 2^{5} \cdot 5^{5} \cdot 19^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$99560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1755000$ |
$1.569609$ |
$-94881210481/13100000$ |
$0.86563$ |
$3.30279$ |
$[1, 0, 1, -34303, -2724302]$ |
\(y^2+xy+y=x^3-34303x-2724302\) |
5.12.0.a.1, 95.24.0.?, 5240.24.1.?, 99560.48.1.? |
$[]$ |
