Elliptic curve isogeny class with LMFDB label 400.h (Cremona label 400g)

• Label: 400.h
• Number of curves: $1$
• Conductor: $400$
• CM: no
• Rank: $0$

Rank

The elliptic curve 400.h1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 400.h do not have complex multiplication.

Modular form 400.2.a.h

Elliptic curves in class 400.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
400.h1	400g1	\([0, 0, 0, 125, 1250]\)	\(270\)	\(-800000000\)	\([]\)	\(240\)	\(0.39120\)	\(\Gamma_0(N)\)-optimal