Elliptic curve isogeny class with LMFDB label 100800.gg (Cremona label 100800ot)

• Label: 100800.gg
• Number of curves: $1$
• Conductor: $100800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 100800.gg1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 7 T + 23 T^{2}\)	1.23.ah
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 100800.gg do not have complex multiplication.

Modular form 100800.2.a.gg

Elliptic curves in class 100800.gg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100800.gg1	100800ot1	\([0, 0, 0, -25500, 1685000]\)	\(-6288640/567\)	\(-165337200000000\)	\([]\)	\(245760\)	\(1.4714\)	\(\Gamma_0(N)\)-optimal