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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
9338.d2 |
9338d1 |
9338.d |
9338d |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.987811660$ |
$1$ |
|
$3$ |
$27648$ |
$1.307556$ |
$-15177411906818559273/167619938752$ |
$[1, -1, 0, -51581, 4521989]$ |
\(y^2+xy=x^3-x^2-51581x+4521989\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(130, -37)]$ |
65366.h2 |
65366k1 |
65366.h |
65366k |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 7^{7} \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$16.64717459$ |
$1$ |
|
$1$ |
$1327104$ |
$2.280510$ |
$-15177411906818559273/167619938752$ |
$[1, -1, 0, -2527478, -1545987276]$ |
\(y^2+xy=x^3-x^2-2527478x-1545987276\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(299722868/199, 5033630450262/199)]$ |
74704.j2 |
74704g1 |
74704.j |
74704g |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{18} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.000702$ |
$-15177411906818559273/167619938752$ |
$[0, 0, 0, -825299, -288581998]$ |
\(y^2=x^3-825299x-288581998\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
84042.be2 |
84042bu1 |
84042.be |
84042bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$3.237926145$ |
$1$ |
|
$5$ |
$884736$ |
$1.856863$ |
$-15177411906818559273/167619938752$ |
$[1, -1, 1, -464231, -121629473]$ |
\(y^2+xy+y=x^3-x^2-464231x-121629473\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(1309, 38234)]$ |
214774.b2 |
214774h1 |
214774.b |
214774h |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( - 2^{6} \cdot 7 \cdot 23^{8} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14598144$ |
$2.875301$ |
$-15177411906818559273/167619938752$ |
$[1, -1, 0, -27286448, -54855321664]$ |
\(y^2+xy=x^3-x^2-27286448x-54855321664\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
233450.cg2 |
233450cg1 |
233450.cg |
233450cg |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.112274$ |
$-15177411906818559273/167619938752$ |
$[1, -1, 1, -1289530, 563959097]$ |
\(y^2+xy+y=x^3-x^2-1289530x+563959097\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
270802.r2 |
270802r1 |
270802.r |
270802r |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( - 2^{6} \cdot 7 \cdot 23^{2} \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23224320$ |
$2.991203$ |
$-15177411906818559273/167619938752$ |
$[1, -1, 1, -43379779, 109983131651]$ |
\(y^2+xy+y=x^3-x^2-43379779x+109983131651\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
298816.y2 |
298816y1 |
298816.y |
298816y |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$11.83444917$ |
$1$ |
|
$1$ |
$5308416$ |
$2.347279$ |
$-15177411906818559273/167619938752$ |
$[0, 0, 0, -3301196, -2308655984]$ |
\(y^2=x^3-3301196x-2308655984\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(38873506/11, 242367066624/11)]$ |
298816.z2 |
298816z1 |
298816.z |
298816z |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{24} \cdot 7 \cdot 23^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.347279$ |
$-15177411906818559273/167619938752$ |
$[0, 0, 0, -3301196, 2308655984]$ |
\(y^2=x^3-3301196x+2308655984\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |