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 |
9338.c2 |
9338c1 |
9338.c |
9338c |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 7^{2} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$10.92745215$ |
$1$ |
|
$1$ |
$27648$ |
$1.413935$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.74468$ |
$[1, -1, 0, -39571, -3025995]$ |
\(y^2+xy=x^3-x^2-39571x-3025995\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[(133455/11, 47146785/11)]$ |
65366.g2 |
65366j1 |
65366.g |
65366j |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 7^{8} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$3.993963262$ |
$1$ |
|
$3$ |
$1327104$ |
$2.386890$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.96499$ |
$[1, -1, 0, -1938988, 1041794256]$ |
\(y^2+xy=x^3-x^2-1938988x+1041794256\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[(793, 1147)]$ |
74704.k2 |
74704f1 |
74704.k |
74704f |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{36} \cdot 7^{2} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.107082$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.60668$ |
$[0, 0, 0, -633139, 194296818]$ |
\(y^2=x^3-633139x+194296818\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |
84042.bf2 |
84042bs1 |
84042.bf |
84042bs |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 3^{6} \cdot 7^{2} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$0.269062315$ |
$1$ |
|
$13$ |
$884736$ |
$1.963242$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.40661$ |
$[1, -1, 1, -356141, 82058005]$ |
\(y^2+xy+y=x^3-x^2-356141x+82058005\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[(239, 3128)]$ |
214774.c2 |
214774i1 |
214774.c |
214774i |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( - 2^{24} \cdot 7^{2} \cdot 23^{7} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14598144$ |
$2.981682$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$5.06528$ |
$[1, -1, 0, -20933158, 36942879924]$ |
\(y^2+xy=x^3-x^2-20933158x+36942879924\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |
233450.ce2 |
233450ce1 |
233450.ce |
233450ce |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 5^{6} \cdot 7^{2} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.218655$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.29035$ |
$[1, -1, 1, -989280, -379238653]$ |
\(y^2+xy+y=x^3-x^2-989280x-379238653\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |
270802.s2 |
270802s1 |
270802.s |
270802s |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( - 2^{24} \cdot 7^{2} \cdot 23 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$23224320$ |
$3.097584$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$5.08260$ |
$[1, -1, 1, -33279369, -74033947255]$ |
\(y^2+xy+y=x^3-x^2-33279369x-74033947255\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |
298816.w2 |
298816w1 |
298816.w |
298816w |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{42} \cdot 7^{2} \cdot 23 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$3.910759692$ |
$1$ |
|
$3$ |
$5308416$ |
$2.453655$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.43002$ |
$[0, 0, 0, -2532556, 1554374544]$ |
\(y^2=x^3-2532556x+1554374544\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[(1004, 4872)]$ |
298816.bb2 |
298816bb1 |
298816.bb |
298816bb |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{42} \cdot 7^{2} \cdot 23 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2668$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5308416$ |
$2.453655$ |
$-6852688047169144713/15901562765312$ |
$0.98013$ |
$4.43002$ |
$[0, 0, 0, -2532556, -1554374544]$ |
\(y^2=x^3-2532556x-1554374544\) |
2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.? |
$[]$ |