Elliptic curve isogeny class with LMFDB label 3332.a (Cremona label 3332c)

• Label: 3332.a
• Number of curves: $1$
• Conductor: $3332$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3332.a1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T + 3 T^{2}\)	1.3.d
\(5\)	\( 1 - 4 T + 5 T^{2}\)	1.5.ae
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3332.a do not have complex multiplication.

Modular form 3332.2.a.a

Isogeny graph

Elliptic curves in class 3332.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3332.a1	3332c1	\([0, 0, 0, -343, -2450]\)	\(-7260624/17\)	\(-10449152\)	\([]\)	\(2304\)	\(0.22725\)	\(\Gamma_0(N)\)-optimal