Elliptic curve isogeny class with Cremona label 43200hw (LMFDB label 43200.fr)

• Label: 43200hw
• Number of curves: $1$
• Conductor: $43200$
• CM: no
• Rank: $1$

Rank

The elliptic curve 43200hw1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 43200hw do not have complex multiplication.

Modular form 43200.2.a.hw

Isogeny graph

Elliptic curves in class 43200hw

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
43200.fr1	43200hw1	\([0, 0, 0, -2700, 15120]\)	\(1875\)	\(1160950579200\)	\([]\)	\(55296\)	\(1.0063\)	\(\Gamma_0(N)\)-optimal