Elliptic curve isogeny class with LMFDB label 372400.hm (Cremona label 372400hm)

• Label: 372400.hm
• Number of curves: $1$
• Conductor: $372400$
• CM: no
• Rank: $1$

Rank

The elliptic curve 372400.hm1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - T + 3 T^{2}\)	1.3.ab
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 372400.hm do not have complex multiplication.

Modular form 372400.2.a.hm

Elliptic curves in class 372400.hm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
372400.hm1	372400hm1	\([0, 1, 0, 28992, 3607988]\)	\(357911/950\)	\(-7153059200000000\)	\([]\)	\(1741824\)	\(1.7259\)	\(\Gamma_0(N)\)-optimal