| 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 |
| 98315.a1 |
98315c1 |
98315.a |
98315c |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5^{3} \cdot 7 \cdot 53^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.032502178$ |
$1$ |
|
$12$ |
$75168$ |
$0.636063$ |
$-11505664/875$ |
$0.79221$ |
$2.80647$ |
$[0, -1, 1, -936, 12042]$ |
\(y^2+y=x^3-x^2-936x+12042\) |
70.2.0.a.1 |
$[(18, 26), (-50/3, 3511/3)]$ |
| 98315.b1 |
98315j1 |
98315.b |
98315j |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5 \cdot 7 \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.861459665$ |
$1$ |
|
$0$ |
$5184$ |
$-0.361814$ |
$1431/35$ |
$0.82794$ |
$1.64638$ |
$[1, -1, 1, 3, -16]$ |
\(y^2+xy+y=x^3-x^2+3x-16\) |
70.2.0.a.1 |
$[(11/2, 9/2)]$ |
| 98315.c1 |
98315g1 |
98315.c |
98315g |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( 5^{7} \cdot 7^{2} \cdot 53^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.386031677$ |
$1$ |
|
$14$ |
$69552$ |
$0.615993$ |
$7113539584/3828125$ |
$1.07390$ |
$2.66406$ |
$[0, 1, 1, -565, 1181]$ |
\(y^2+y=x^3+x^2-565x+1181\) |
10.2.0.a.1 |
$[(-5, 62), (45, 262)]$ |
| 98315.d1 |
98315a1 |
98315.d |
98315a |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5 \cdot 7^{3} \cdot 53^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$824256$ |
$1.963316$ |
$-1736704/1715$ |
$0.75098$ |
$4.09932$ |
$[0, -1, 1, -99251, 19832346]$ |
\(y^2+y=x^3-x^2-99251x+19832346\) |
70.2.0.a.1 |
$[]$ |
| 98315.e1 |
98315i3 |
98315.e |
98315i |
$3$ |
$9$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5^{9} \cdot 7 \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$33390$ |
$144$ |
$3$ |
$2.996580860$ |
$1$ |
|
$4$ |
$864864$ |
$2.112610$ |
$-250523582464/13671875$ |
$1.02112$ |
$4.36317$ |
$[0, -1, 1, -368915, -90097869]$ |
\(y^2+y=x^3-x^2-368915x-90097869\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.2, 70.2.0.a.1, 159.8.0.?, $\ldots$ |
$[(707, 1404)]$ |
| 98315.e2 |
98315i1 |
98315.e |
98315i |
$3$ |
$9$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5 \cdot 7 \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$33390$ |
$144$ |
$3$ |
$2.996580860$ |
$1$ |
|
$0$ |
$96096$ |
$1.013996$ |
$-262144/35$ |
$0.88715$ |
$3.17556$ |
$[0, -1, 1, -3745, 99121]$ |
\(y^2+y=x^3-x^2-3745x+99121\) |
3.4.0.a.1, 9.12.0.a.1, 63.36.0.e.1, 70.2.0.a.1, 159.8.0.?, $\ldots$ |
$[(977/4, 19631/4)]$ |
| 98315.e3 |
98315i2 |
98315.e |
98315i |
$3$ |
$9$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5^{3} \cdot 7^{3} \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$33390$ |
$144$ |
$3$ |
$0.998860286$ |
$1$ |
|
$4$ |
$288288$ |
$1.563301$ |
$71991296/42875$ |
$1.06493$ |
$3.64597$ |
$[0, -1, 1, 24345, -257622]$ |
\(y^2+y=x^3-x^2+24345x-257622\) |
3.12.0.a.1, 63.36.0.b.1, 70.2.0.a.1, 159.24.0.?, 210.24.1.?, $\ldots$ |
$[(442, 9831)]$ |
| 98315.f1 |
98315e1 |
98315.f |
98315e |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5 \cdot 7^{3} \cdot 53^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$4.996540713$ |
$1$ |
|
$4$ |
$15552$ |
$-0.021830$ |
$-1736704/1715$ |
$0.75098$ |
$2.02713$ |
$[0, 1, 1, -35, 121]$ |
\(y^2+y=x^3+x^2-35x+121\) |
70.2.0.a.1 |
$[(-1, 12), (-7, 8)]$ |
| 98315.g1 |
98315f1 |
98315.g |
98315f |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5 \cdot 7^{5} \cdot 53^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1235520$ |
$2.271046$ |
$-1073741824/236054315$ |
$1.09568$ |
$4.39796$ |
$[0, 1, 1, -59925, 110175196]$ |
\(y^2+y=x^3+x^2-59925x+110175196\) |
70.2.0.a.1 |
$[]$ |
| 98315.h1 |
98315b1 |
98315.h |
98315b |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( 5^{7} \cdot 7^{2} \cdot 53^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$12.31621881$ |
$1$ |
|
$2$ |
$3686256$ |
$2.601139$ |
$7113539584/3828125$ |
$1.07390$ |
$4.73625$ |
$[0, -1, 1, -1588021, 204439826]$ |
\(y^2+y=x^3-x^2-1588021x+204439826\) |
10.2.0.a.1 |
$[(-936, 29494), (11367414/97, 6312163015/97)]$ |
| 98315.i1 |
98315d1 |
98315.i |
98315d |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5 \cdot 7 \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$32.93693527$ |
$1$ |
|
$0$ |
$274752$ |
$1.623333$ |
$1431/35$ |
$0.82794$ |
$3.71857$ |
$[1, -1, 0, 9305, -2221524]$ |
\(y^2+xy=x^3-x^2+9305x-2221524\) |
70.2.0.a.1 |
$[(103812344182595/980782, 114864775754648223923/980782)]$ |
| 98315.j1 |
98315h1 |
98315.j |
98315h |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 53^{2} \) |
\( - 5^{3} \cdot 7 \cdot 53^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3983904$ |
$2.621208$ |
$-11505664/875$ |
$0.79221$ |
$4.87866$ |
$[0, 1, 1, -2630160, 1745476681]$ |
\(y^2+y=x^3+x^2-2630160x+1745476681\) |
70.2.0.a.1 |
$[]$ |
