Elliptic curve isogeny class with Cremona label 1323k (LMFDB label 1323.m)

• Label: 1323k
• Number of curves: $1$
• Conductor: $1323$
• CM: no
• Rank: $0$

Rank

The elliptic curve 1323k1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(7\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 1323k do not have complex multiplication.

Modular form 1323.2.a.k

Elliptic curves in class 1323k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1323.m1	1323k1	\([1, -1, 0, -9, -36]\)	\(-147\)	\(-583443\)	\([]\)	\(180\)	\(-0.21029\)	\(\Gamma_0(N)\)-optimal