Elliptic curve isogeny class with LMFDB label 267589.e (Cremona label 267589e)

• Label: 267589.e
• Number of curves: $1$
• Conductor: $267589$
• CM: no
• Rank: $1$

Rank

The elliptic curve 267589.e1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(7\)	\(1\)
\(43\)	\(1 - T\)
\(127\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(3\)	\( 1 + 3 T + 3 T^{2}\)	1.3.d
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 267589.e do not have complex multiplication.

Modular form 267589.2.a.e

Elliptic curves in class 267589.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
267589.e1	267589e1	\([1, -1, 0, -1633, 25654]\)	\(1404551713599/10097389\)	\(3463404427\)	\([]\)	\(249984\)	\(0.66236\)	\(\Gamma_0(N)\)-optimal