Elliptic curve isogeny class with LMFDB label 40560.bp (Cremona label 40560cc)

• Label: 40560.bp
• Number of curves: $1$
• Conductor: $40560$
• CM: no
• Rank: $1$

Rank

The elliptic curve 40560.bp1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 40560.bp do not have complex multiplication.

Modular form 40560.2.a.bp

Elliptic curves in class 40560.bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
40560.bp1	40560cc1	\([0, 1, 0, -114976, 93656564]\)	\(-50308609/1105920\)	\(-3695136436094238720\)	\([]\)	\(584064\)	\(2.2436\)	\(\Gamma_0(N)\)-optimal