Elliptic curve isogeny class with Cremona label 100800mo (LMFDB label 100800.l)

• Label: 100800mo
• Number of curves: $1$
• Conductor: $100800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 100800mo1 has rank \(1\).

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 \(\mathbb{F}_p\)
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 100800.2.a.mo

Elliptic curves in class 100800mo

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100800.l1	100800mo1	\([0, 0, 0, -7500, 425000]\)	\(-6400/7\)	\(-51030000000000\)	\([]\)	\(276480\)	\(1.3250\)	\(\Gamma_0(N)\)-optimal