Elliptic curve isogeny class with LMFDB label 159936.dj (Cremona label 159936jn)

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

Rank

The elliptic curve 159936.dj1 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 \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 + 7 T + 13 T^{2}\)	1.13.h
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 159936.2.a.dj

Elliptic curves in class 159936.dj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
159936.dj1	159936jn1	\([0, -1, 0, 6795, -234387]\)	\(17997824/22491\)	\(-43352779309056\)	\([]\)	\(442368\)	\(1.3027\)	\(\Gamma_0(N)\)-optimal