Elliptic curve isogeny class with Cremona label 159936bg (LMFDB label 159936.im)

• Label: 159936bg
• Number of curves: $1$
• Conductor: $159936$
• CM: no
• Rank: $1$

Rank

The elliptic curve 159936bg1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1\)
\(17\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 159936bg do not have complex multiplication.

Modular form 159936.2.a.bg

Elliptic curves in class 159936bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
159936.im1	159936bg1	\([0, 1, 0, 6795, 234387]\)	\(17997824/22491\)	\(-43352779309056\)	\([]\)	\(442368\)	\(1.3027\)	\(\Gamma_0(N)\)-optimal