Elliptic curve isogeny class with Cremona label 162576bc (LMFDB label 162576.x)

• Label: 162576bc
• Number of curves: $1$
• Conductor: $162576$
• CM: no
• Rank: $2$

Rank

The elliptic curve 162576bc1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(1129\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 162576bc do not have complex multiplication.

Modular form 162576.2.a.bc

Elliptic curves in class 162576bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
162576.x1	162576bc1	\([0, 0, 0, -7887, 269597]\)	\(4651700272384/10161\)	\(118517904\)	\([]\)	\(104448\)	\(0.79569\)	\(\Gamma_0(N)\)-optimal