Elliptic curve isogeny class with LMFDB label 68544.bv (Cremona label 68544c)

• Label: 68544.bv
• Number of curves: $1$
• Conductor: $68544$
• CM: no
• Rank: $1$

Rank

The elliptic curve 68544.bv1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(7\)	\(1 + T\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 4 T + 23 T^{2}\)	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 68544.bv do not have complex multiplication.

Modular form 68544.2.a.bv

Elliptic curves in class 68544.bv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
68544.bv1	68544c1	\([0, 0, 0, -30348, -2655504]\)	\(-599077107/243712\)	\(-1257500389146624\)	\([]\)	\(202752\)	\(1.6058\)	\(\Gamma_0(N)\)-optimal