Elliptic curve isogeny class with LMFDB label 160560.q (Cremona label 160560cb)

• Label: 160560.q
• Number of curves: $1$
• Conductor: $160560$
• CM: no
• Rank: $0$

Rank

The elliptic curve 160560.q1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(223\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - T + 29 T^{2}\)	1.29.ab
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 160560.q do not have complex multiplication.

Modular form 160560.2.a.q

Elliptic curves in class 160560.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
160560.q1	160560cb1	\([0, 0, 0, -723, -31502]\)	\(-27995042/270945\)	\(-404518717440\)	\([]\)	\(145920\)	\(0.90949\)	\(\Gamma_0(N)\)-optimal