Elliptic curve isogeny class with Cremona label 41600bx (LMFDB label 41600.v)

• Label: 41600bx
• Number of curves: $1$
• Conductor: $41600$
• CM: no
• Rank: $1$

Rank

The elliptic curve 41600bx1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 7 T + 29 T^{2}\)	1.29.h
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 41600bx do not have complex multiplication.

Modular form 41600.2.a.bx

Elliptic curves in class 41600bx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
41600.v1	41600bx1	\([0, -1, 0, -4633, -119863]\)	\(-85939808/13\)	\(-1664000000\)	\([]\)	\(26880\)	\(0.78216\)	\(\Gamma_0(N)\)-optimal