Elliptic curve isogeny class with LMFDB label 14994.cm (Cremona label 14994bp)

• Label: 14994.cm
• Number of curves: $1$
• Conductor: $14994$
• CM: no
• Rank: $1$

Rank

The elliptic curve 14994.cm1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(7\)	\(1\)
\(17\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 14994.cm do not have complex multiplication.

Modular form 14994.2.a.cm

Elliptic curves in class 14994.cm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14994.cm1	14994bp1	\([1, -1, 1, -2582, -65243]\)	\(-599077107/243712\)	\(-774156773376\)	\([]\)	\(16896\)	\(0.98973\)	\(\Gamma_0(N)\)-optimal