Elliptic curve isogeny class with LMFDB label 3276.c (Cremona label 3276i)

• Label: 3276.c
• Number of curves: $1$
• Conductor: $3276$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3276.c1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1 - T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3276.c do not have complex multiplication.

Modular form 3276.2.a.c

Elliptic curves in class 3276.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3276.c1	3276i1	\([0, 0, 0, -3288, 74324]\)	\(-21064523776/597051\)	\(-111424045824\)	\([]\)	\(4608\)	\(0.89974\)	\(\Gamma_0(N)\)-optimal