Elliptic curve isogeny class with LMFDB label 1352.a (Cremona label 1352b)

• Label: 1352.a
• Number of curves: $1$
• Conductor: $1352$
• CM: no
• Rank: $1$

Rank

The elliptic curve 1352.a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 1352.a do not have complex multiplication.

Modular form 1352.2.a.a

Isogeny graph

Elliptic curves in class 1352.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1352.a1	1352b1	\([0, 1, 0, -4, 1]\)	\(3328\)	\(2704\)	\([]\)	\(48\)	\(-0.63618\)	\(\Gamma_0(N)\)-optimal