Elliptic curve isogeny class with Cremona label 132878g (LMFDB label 132878.o)

• Label: 132878g
• Number of curves: $1$
• Conductor: $132878$
• CM: no
• Rank: $1$

Rank

The elliptic curve 132878g1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(29\)	\(1\)
\(79\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(5\)	\( 1 + 3 T + 5 T^{2}\)	1.5.d
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 132878g do not have complex multiplication.

Modular form 132878.2.a.g

Elliptic curves in class 132878g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
132878.o1	132878g1	\([1, 1, 1, 9654, 1157447]\)	\(198911/1264\)	\(-632311465982704\)	\([]\)	\(542880\)	\(1.5218\)	\(\Gamma_0(N)\)-optimal