Elliptic curve isogeny class with Cremona label 228800dm (LMFDB label 228800.d)

• Label: 228800dm
• Number of curves: $1$
• Conductor: $228800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 228800dm1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 - T\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 228800dm do not have complex multiplication.

Modular form 228800.2.a.dm

Elliptic curves in class 228800dm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
228800.d1	228800dm1	\([0, 0, 0, -4890700, 8481094000]\)	\(-3158470573163361/5758438400000\)	\(-23586563686400000000000\)	\([]\)	\(28753920\)	\(2.9830\)	\(\Gamma_0(N)\)-optimal