Elliptic curve isogeny class with Cremona label 16562br (LMFDB label 16562.bb)

• Label: 16562br
• Number of curves: $1$
• Conductor: $16562$
• CM: no
• Rank: $1$

Rank

The elliptic curve 16562br1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(7\)	\(1\)
\(13\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 16562br do not have complex multiplication.

Modular form 16562.2.a.br

Elliptic curves in class 16562br

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16562.bb1	16562br1	\([1, -1, 1, -183735, -661942641]\)	\(-1207949625/332678528\)	\(-188917906865460875648\)	\([]\)	\(1128960\)	\(2.5699\)	\(\Gamma_0(N)\)-optimal