Elliptic curve isogeny class with LMFDB label 20160.p (Cremona label 20160z)

• Label: 20160.p
• Number of curves: $1$
• Conductor: $20160$
• CM: no
• Rank: $0$

Rank

The elliptic curve 20160.p1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(7\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 8 T + 19 T^{2}\)	1.19.ai
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 20160.p do not have complex multiplication.

Modular form 20160.2.a.p

Elliptic curves in class 20160.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20160.p1	20160z1	\([0, 0, 0, 67302, 6593022]\)	\(722603599520256/820654296875\)	\(-38288446875000000\)	\([]\)	\(147840\)	\(1.8684\)	\(\Gamma_0(N)\)-optimal