Elliptic curve isogeny class with LMFDB label 3200.l (Cremona label 3200c)

• Label: 3200.l
• Number of curves: $1$
• Conductor: $3200$
• CM: no
• Rank: $1$

Rank

The elliptic curve 3200.l1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3200.l do not have complex multiplication.

Modular form 3200.2.a.l

Elliptic curves in class 3200.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3200.l1	3200c1	\([0, -1, 0, 2, 2]\)	\(160\)	\(-3200\)	\([]\)	\(96\)	\(-0.64559\)	\(\Gamma_0(N)\)-optimal