Elliptic curve isogeny class with LMFDB label 2300.h (Cremona label 2300b)

• Label: 2300.h
• Number of curves: $1$
• Conductor: $2300$
• CM: no
• Rank: $0$

Rank

The elliptic curve 2300.h1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(23\)	\(1 + T\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 2300.h do not have complex multiplication.

Modular form 2300.2.a.h

Elliptic curves in class 2300.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2300.h1	2300b1	\([0, 0, 0, -25, 125]\)	\(-6912/23\)	\(-5750000\)	\([]\)	\(768\)	\(-0.016694\)	\(\Gamma_0(N)\)-optimal