Elliptic curve isogeny class with Cremona label 164560b (LMFDB label 164560.h)

• Label: 164560b
• Number of curves: $1$
• Conductor: $164560$
• CM: no
• Rank: $1$

Rank

The elliptic curve 164560b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 + T\)
\(11\)	\(1\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T + 3 T^{2}\)	1.3.d
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 164560b do not have complex multiplication.

Modular form 164560.2.a.b

Elliptic curves in class 164560b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
164560.h1	164560b1	\([0, 0, 0, -4395952, 2878325296]\)	\(18955586170312298496/3748321533203125\)	\(1857728125000000000000\)	\([]\)	\(14981760\)	\(2.7976\)	\(\Gamma_0(N)\)-optimal