Elliptic curve isogeny class with Cremona label 14520p (LMFDB label 14520.be)

• Label: 14520p
• Number of curves: $1$
• Conductor: $14520$
• CM: no
• Rank: $1$

Rank

The elliptic curve 14520p1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14520p do not have complex multiplication.

Modular form 14520.2.a.p

Elliptic curves in class 14520p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14520.be1	14520p1	\([0, 1, 0, -234296, -43623120]\)	\(5739907130357378/16142520375\)	\(4000245689088000\)	\([]\)	\(97920\)	\(1.8659\)	\(\Gamma_0(N)\)-optimal