Elliptic curve isogeny class with Cremona label 90160bq (LMFDB label 90160.g)

• Label: 90160bq
• Number of curves: $1$
• Conductor: $90160$
• CM: no
• Rank: $1$

Rank

The elliptic curve 90160bq1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1 + T\)
\(7\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 90160bq do not have complex multiplication.

Modular form 90160.2.a.bq

Elliptic curves in class 90160bq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
90160.g1	90160bq1	\([0, 1, 0, -45341, 3851959]\)	\(-16771598147584/804542875\)	\(-494517105376000\)	\([]\)	\(427680\)	\(1.5819\)	\(\Gamma_0(N)\)-optimal