Elliptic curve isogeny class with LMFDB label 58800.kh (Cremona label 58800es)

• Label: 58800.kh
• Number of curves: $1$
• Conductor: $58800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 58800.kh1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(13\)	\( 1 - 7 T + 13 T^{2}\)	1.13.ah
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 58800.kh do not have complex multiplication.

Modular form 58800.2.a.kh

Elliptic curves in class 58800.kh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58800.kh1	58800es1	\([0, 1, 0, -260108, 53166588]\)	\(-43061200/2187\)	\(-98843739130080000\)	\([]\)	\(903168\)	\(2.0215\)	\(\Gamma_0(N)\)-optimal