Elliptic curve isogeny class with Cremona label 152592bz (LMFDB label 152592.v)

• Label: 152592bz
• Number of curves: $1$
• Conductor: $152592$
• CM: no
• Rank: $1$

Rank

The elliptic curve 152592bz1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(11\)	\(1 - T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 152592bz do not have complex multiplication.

Modular form 152592.2.a.bz

Elliptic curves in class 152592bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
152592.v1	152592bz1	\([0, -1, 0, -52405, 8975869]\)	\(-557056/891\)	\(-25458277908197376\)	\([]\)	\(1410048\)	\(1.8391\)	\(\Gamma_0(N)\)-optimal