Elliptic curve isogeny class with LMFDB label 255162.bk (Cremona label 255162bk)

• Label: 255162.bk
• Number of curves: $1$
• Conductor: $255162$
• CM: no
• Rank: $1$

Rank

The elliptic curve 255162.bk1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 - T\)
\(23\)	\(1 + T\)
\(43\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 6 T + 11 T^{2}\)	1.11.g
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 255162.bk do not have complex multiplication.

Modular form 255162.2.a.bk

Elliptic curves in class 255162.bk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
255162.bk1	255162bk1	\([1, 0, 0, 167296, 83398656]\)	\(44302943/282624\)	\(-3303365915256705024\)	\([]\)	\(8322048\)	\(2.2353\)	\(\Gamma_0(N)\)-optimal