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.e2 |
9338b1 |
9338.e |
9338b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 7^{7} \cdot 23^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$727552$ |
$2.855965$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$6.58624$ |
$[1, 1, 0, -10803361, 13736209509]$ |
\(y^2+xy=x^3+x^2-10803361x+13736209509\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
65366.a2 |
65366f1 |
65366.a |
65366f |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 7^{13} \cdot 23^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$34922496$ |
$3.828918$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$6.48335$ |
$[1, 0, 1, -529364715, -4713107955706]$ |
\(y^2+xy+y=x^3-529364715x-4713107955706\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
74704.b2 |
74704k1 |
74704.b |
74704k |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{16} \cdot 7^{7} \cdot 23^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$5.815227724$ |
$1$ |
|
$3$ |
$17461248$ |
$3.549110$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$6.10698$ |
$[0, 1, 0, -172853784, -879463116140]$ |
\(y^2=x^3+x^2-172853784x-879463116140\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(48540, 10251790)]$ |
84042.bq2 |
84042bw1 |
84042.bq |
84042bw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 23^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17461248$ |
$3.405270$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$5.89132$ |
$[1, -1, 1, -97230254, -370974886995]$ |
\(y^2+xy+y=x^3-x^2-97230254x-370974886995\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
214774.j2 |
214774p1 |
214774.j |
214774p |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( - 2^{4} \cdot 7^{7} \cdot 23^{14} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$81$ |
$3$ |
$1$ |
$384147456$ |
$4.423714$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$6.43652$ |
$[1, 1, 0, -5714978244, -167185610877568]$ |
\(y^2+xy=x^3+x^2-5714978244x-167185610877568\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
233450.bs2 |
233450bs1 |
233450.bs |
233450bs |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{4} \cdot 5^{6} \cdot 7^{7} \cdot 23^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$3.793851890$ |
$1$ |
|
$3$ |
$93126656$ |
$3.660683$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$5.65234$ |
$[1, 0, 0, -270084038, 1717566356692]$ |
\(y^2+xy=x^3-270084038x+1717566356692\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(9762, 101494)]$ |
270802.m2 |
270802m1 |
270802.m |
270802m |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( - 2^{4} \cdot 7^{7} \cdot 23^{8} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$2.692142037$ |
$1$ |
|
$3$ |
$611143680$ |
$4.539612$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$6.42843$ |
$[1, 0, 0, -9085627039, 335121441237705]$ |
\(y^2+xy=x^3-9085627039x+335121441237705\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(26112, 10742493)]$ |
298816.o2 |
298816o1 |
298816.o |
298816o |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{22} \cdot 7^{7} \cdot 23^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$3.604333049$ |
$1$ |
|
$3$ |
$139689984$ |
$3.895683$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$5.76534$ |
$[0, 1, 0, -691415137, 7035013513983]$ |
\(y^2=x^3+x^2-691415137x+7035013513983\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(15827, 238336)]$ |
298816.cd2 |
298816cd1 |
298816.cd |
298816cd |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( - 2^{22} \cdot 7^{7} \cdot 23^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$139689984$ |
$3.895683$ |
$-139444195316122186685933977/867810592237096964848$ |
$0.99666$ |
$5.76534$ |
$[0, -1, 0, -691415137, -7035013513983]$ |
\(y^2=x^3-x^2-691415137x-7035013513983\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |