Elliptic curve isogeny class with LMFDB label 240426.bg (Cremona label 240426bg)

• Label: 240426.bg
• Number of curves: $1$
• Conductor: $240426$
• CM: no
• Rank: $1$

Rank

The elliptic curve 240426.bg1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(19\)	\(1\)
\(37\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 4 T + 5 T^{2}\)	1.5.ae
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 240426.bg do not have complex multiplication.

Modular form 240426.2.a.bg

Elliptic curves in class 240426.bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
240426.bg1	240426bg1	\([1, -1, 0, -592349625, 5549199018093]\)	\(-670206957616537490521/6109179936768\)	\(-209523167436012867551232\)	\([]\)	\(125551296\)	\(3.6395\)	\(\Gamma_0(N)\)-optimal