Elliptic curve isogeny class with LMFDB label 155232.ek (Cremona label 155232cx)

• Label: 155232.ek
• Number of curves: $1$
• Conductor: $155232$
• CM: no
• Rank: $0$

Rank

The elliptic curve 155232.ek1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1\)
\(11\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + T + 17 T^{2}\)	1.17.b
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 155232.ek do not have complex multiplication.

Modular form 155232.2.a.ek

Elliptic curves in class 155232.ek

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
155232.ek1	155232cx1	\([0, 0, 0, 1029, -43218]\)	\(1512/11\)	\(-876618699264\)	\([]\)	\(150528\)	\(0.97319\)	\(\Gamma_0(N)\)-optimal