Elliptic curve isogeny class with LMFDB label 165825.c (Cremona label 165825c)

• Label: 165825.c
• Number of curves: $1$
• Conductor: $165825$
• CM: no
• Rank: $0$

Rank

The elliptic curve 165825.c1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 - T\)
\(67\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(13\)	\( 1 - 5 T + 13 T^{2}\)	1.13.af
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 165825.c do not have complex multiplication.

Modular form 165825.2.a.c

Elliptic curves in class 165825.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
165825.c1	165825c1	\([0, 0, 1, -21634275, 38735180406]\)	\(-98311244861358051328/11516332315851\)	\(-131178222785240296875\)	\([]\)	\(14805504\)	\(2.8863\)	\(\Gamma_0(N)\)-optimal