Elliptic curve isogeny class with Cremona label 14656bb (LMFDB label 14656.d)

• Label: 14656bb
• Number of curves: $1$
• Conductor: $14656$
• CM: no
• Rank: $1$

Rank

The elliptic curve 14656bb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(229\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14656bb do not have complex multiplication.

Modular form 14656.2.a.bb

Elliptic curves in class 14656bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14656.d1	14656bb1	\([0, 0, 0, -16, -8]\)	\(442368/229\)	\(234496\)	\([]\)	\(4224\)	\(-0.27755\)	\(\Gamma_0(N)\)-optimal