Elliptic curve isogeny class with LMFDB label 14976.bb (Cremona label 14976p)

• Label: 14976.bb
• Number of curves: $1$
• Conductor: $14976$
• CM: no
• Rank: $1$

Rank

The elliptic curve 14976.bb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14976.bb do not have complex multiplication.

Modular form 14976.2.a.bb

Elliptic curves in class 14976.bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14976.bb1	14976p1	\([0, 0, 0, 348, 4912]\)	\(780448/2197\)	\(-13120413696\)	\([]\)	\(5760\)	\(0.62496\)	\(\Gamma_0(N)\)-optimal