Elliptic curve isogeny class with Cremona label 44520q (LMFDB label 44520.k)

• Label: 44520q
• Number of curves: $1$
• Conductor: $44520$
• CM: no
• Rank: $1$

Rank

The elliptic curve 44520q1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(5\)	\(1 + T\)
\(7\)	\(1 + T\)
\(53\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 44520q do not have complex multiplication.

Modular form 44520.2.a.q

Isogeny graph

Elliptic curves in class 44520q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
44520.k1	44520q1	\([0, -1, 0, 2295, 58077]\)	\(5219664241664/8863392195\)	\(-2269028401920\)	\([]\)	\(67200\)	\(1.0558\)	\(\Gamma_0(N)\)-optimal