Elliptic curve isogeny class with Cremona label 40560cf (LMFDB label 40560.bn)

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

Rank

The elliptic curve 40560cf1 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 \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(17\)	\( 1 + 8 T + 17 T^{2}\)	1.17.i
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 6 T + 23 T^{2}\)	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 40560cf do not have complex multiplication.

Modular form 40560.2.a.cf

Elliptic curves in class 40560cf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
40560.bn1	40560cf1	\([0, 1, 0, 639024, -81994860]\)	\(41689615345255319/28343520000000\)	\(-19620064788480000000\)	\([]\)	\(975744\)	\(2.3906\)	\(\Gamma_0(N)\)-optimal