Elliptic curve isogeny class with Cremona label 139650et (LMFDB label 139650.gq)

• Label: 139650et
• Number of curves: $1$
• Conductor: $139650$
• CM: no
• Rank: $0$

Rank

The elliptic curve 139650et1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(7\)	\(1\)
\(19\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 139650et do not have complex multiplication.

Modular form 139650.2.a.et

Elliptic curves in class 139650et

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
139650.gq1	139650et1	\([1, 1, 1, 45912, 6951531]\)	\(16974593/42750\)	\(-26954948425781250\)	\([]\)	\(1677312\)	\(1.8365\)	\(\Gamma_0(N)\)-optimal