Elliptic curve isogeny class with LMFDB label 2368.p (Cremona label 2368p)

• Label: 2368.p
• Number of curves: $1$
• Conductor: $2368$
• CM: no
• Rank: $1$

Elliptic curves in class 2368.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2368.p1	2368p1	$[0, 0, 0, -262, -1630]$	$31077609984/50653$	$3241792$	$[]$	$1728$	$0.14600$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 2368.p1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$37$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 - 3 T + 3 T^{2}$	1.3.ad
$5$	$1 + 4 T + 5 T^{2}$	1.5.e
$7$	$1 - 3 T + 7 T^{2}$	1.7.ad
$11$	$1 + 3 T + 11 T^{2}$	1.11.d
$13$	$1 + 6 T + 13 T^{2}$	1.13.g
$17$	$1 + 4 T + 17 T^{2}$	1.17.e
$19$	$1 + 6 T + 19 T^{2}$	1.19.g
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 - 4 T + 29 T^{2}$	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2368.p do not have complex multiplication.

Modular form 2368.2.a.p