| 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 |
| 5313.b1 |
5313b2 |
5313.b |
5313b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 3^{8} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$3.586974926$ |
$1$ |
|
$0$ |
$4352$ |
$0.494628$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.87149$ |
$[1, 1, 0, -1337, -19380]$ |
\(y^2+xy=x^3+x^2-1337x-19380\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[(239/2, 2515/2)]$ |
| 15939.e1 |
15939h2 |
15939.e |
15939h |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 3^{14} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34816$ |
$1.043934$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.11315$ |
$[1, -1, 1, -12038, 511224]$ |
\(y^2+xy+y=x^3-x^2-12038x+511224\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 37191.h1 |
37191f2 |
37191.h |
37191f |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 3^{8} \cdot 7^{8} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$208896$ |
$1.467585$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.26506$ |
$[1, 0, 1, -65539, 6450749]$ |
\(y^2+xy+y=x^3-65539x+6450749\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 58443.e1 |
58443d2 |
58443.e |
58443d |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{8} \cdot 7^{2} \cdot 11^{7} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1.831332299$ |
$1$ |
|
$16$ |
$522240$ |
$1.693577$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.33651$ |
$[1, 1, 1, -161840, 24985676]$ |
\(y^2+xy+y=x^3+x^2-161840x+24985676\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[(6, 4897), (-236, 7196)]$ |
| 85008.bm1 |
85008ca2 |
85008.bm |
85008ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$0.634254037$ |
$1$ |
|
$27$ |
$278528$ |
$1.187777$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.65861$ |
$[0, 1, 0, -21400, 1197524]$ |
\(y^2=x^3+x^2-21400x+1197524\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[(62, 336), (86, 24)]$ |
| 111573.h1 |
111573bf2 |
111573.h |
111573bf |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 3^{14} \cdot 7^{8} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1671168$ |
$2.016891$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.42906$ |
$[1, -1, 1, -589847, -174170230]$ |
\(y^2+xy+y=x^3-x^2-589847x-174170230\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 122199.i1 |
122199a2 |
122199.i |
122199a |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( 3^{8} \cdot 7^{2} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2297856$ |
$2.062374$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.44126$ |
$[1, 1, 0, -707548, 228721855]$ |
\(y^2+xy=x^3+x^2-707548x+228721855\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 132825.q1 |
132825p2 |
132825.q |
132825p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$348160$ |
$1.299347$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.63370$ |
$[1, 0, 0, -33438, -2355633]$ |
\(y^2+xy=x^3-33438x-2355633\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 175329.w1 |
175329w2 |
175329.w |
175329w |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{14} \cdot 7^{2} \cdot 11^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4177920$ |
$2.242882$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.48787$ |
$[1, -1, 0, -1456560, -676069817]$ |
\(y^2+xy=x^3-x^2-1456560x-676069817\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 255024.fa1 |
255024fa2 |
255024.fa |
255024fa |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{14} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2228224$ |
$1.737082$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.86524$ |
$[0, 0, 0, -192603, -32525750]$ |
\(y^2=x^3-192603x-32525750\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 340032.df1 |
340032df2 |
340032.df |
340032df |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2228224$ |
$1.534349$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.58693$ |
$[0, -1, 0, -85601, 9665793]$ |
\(y^2=x^3-x^2-85601x+9665793\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 340032.go1 |
340032go2 |
340032.go |
340032go |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$7.051956361$ |
$1$ |
|
$1$ |
$2228224$ |
$1.534349$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.58693$ |
$[0, 1, 0, -85601, -9665793]$ |
\(y^2=x^3+x^2-85601x-9665793\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[(-10863/8, 25305/8)]$ |
| 366597.c1 |
366597c2 |
366597.c |
366597c |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 23^{2} \) |
\( 3^{14} \cdot 7^{2} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18382848$ |
$2.611683$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.57492$ |
$[1, -1, 1, -6367937, -6181858020]$ |
\(y^2+xy+y=x^3-x^2-6367937x-6181858020\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 398475.cp1 |
398475cp2 |
398475.cp |
398475cp |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \) |
\( 3^{14} \cdot 5^{6} \cdot 7^{2} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2785280$ |
$1.848654$ |
$264621653112601/81336717$ |
$0.98467$ |
$3.83529$ |
$[1, -1, 0, -300942, 63602091]$ |
\(y^2+xy=x^3-x^2-300942x+63602091\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
| 409101.s1 |
409101s2 |
409101.s |
409101s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( 3^{8} \cdot 7^{8} \cdot 11^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7084$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25067520$ |
$2.666531$ |
$264621653112601/81336717$ |
$0.98467$ |
$4.58702$ |
$[1, 0, 0, -7930161, -8593877412]$ |
\(y^2+xy=x^3-7930161x-8593877412\) |
2.3.0.a.1, 28.6.0.c.1, 506.6.0.?, 7084.12.0.? |
$[]$ |
