Elliptic curve isogeny class with Cremona label 48050g (LMFDB label 48050.i)

• Label: 48050g
• Number of curves: $1$
• Conductor: $48050$
• CM: no
• Rank: $0$

Rank

The elliptic curve 48050g1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(5\)	\(1\)
\(31\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 - 7 T + 13 T^{2}\)	1.13.ah
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 48050g do not have complex multiplication.

Modular form 48050.2.a.g

Elliptic curves in class 48050g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
48050.i1	48050g1	\([1, -1, 0, -232742, -17979334]\)	\(4185/2\)	\(666321123000781250\)	\([]\)	\(669600\)	\(2.1139\)	\(\Gamma_0(N)\)-optimal