Elliptic curve isogeny class with LMFDB label 14300.h (Cremona label 14300h)

• Label: 14300.h
• Number of curves: $1$
• Conductor: $14300$
• CM: no
• Rank: $0$

Rank

The elliptic curve 14300.h1 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
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + 7 T + 23 T^{2}\)	1.23.h
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 14300.h do not have complex multiplication.

Modular form 14300.2.a.h

Elliptic curves in class 14300.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14300.h1	14300h1	\([0, 0, 0, -625, -9375]\)	\(-172800/143\)	\(-22343750000\)	\([]\)	\(6840\)	\(0.68375\)	\(\Gamma_0(N)\)-optimal