Elliptic curve isogeny class with LMFDB label 20592.bh (Cremona label 20592h)

• Label: 20592.bh
• Number of curves: $1$
• Conductor: $20592$
• CM: no
• Rank: $1$

Rank

The elliptic curve 20592.bh1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(11\)	\(1 - T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 20592.bh do not have complex multiplication.

Modular form 20592.2.a.bh

Elliptic curves in class 20592.bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20592.bh1	20592h1	\([0, 0, 0, -25932, 2001548]\)	\(-10333900063744/3293331899\)	\(-614614772318976\)	\([]\)	\(67200\)	\(1.5506\)	\(\Gamma_0(N)\)-optimal