Elliptic curve isogeny class with LMFDB label 116032.bb (Cremona label 116032v)

• Label: 116032.bb
• Number of curves: $1$
• Conductor: $116032$
• CM: no
• Rank: $1$

Rank

The elliptic curve 116032.bb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(7\)	\(1\)
\(37\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 116032.bb do not have complex multiplication.

Modular form 116032.2.a.bb

Elliptic curves in class 116032.bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
116032.bb1	116032v1	\([0, 0, 0, -182, 1862]\)	\(-30371328/50653\)	\(-1111934656\)	\([]\)	\(27648\)	\(0.42659\)	\(\Gamma_0(N)\)-optimal