Elliptic curve isogeny class with Cremona label 286650lx (LMFDB label 286650.lx)

• Label: 286650lx
• Number of curves: $1$
• Conductor: $286650$
• CM: no
• Rank: $0$

Elliptic curves in class 286650lx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
286650.lx1	286650lx1	$[1, -1, 1, 132070, 203924697]$	$304175/21632$	$-18118093061250000000$	$[]$	$7257600$	$2.3748$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 286650lx1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1$
$5$	$1$
$7$	$1$
$13$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$11$	$1 + T + 11 T^{2}$	1.11.b
$17$	$1 - 7 T + 17 T^{2}$	1.17.ah
$19$	$1 - 3 T + 19 T^{2}$	1.19.ad
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 - 4 T + 29 T^{2}$	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 286650lx do not have complex multiplication.

Modular form 286650.2.a.lx