Elliptic curve isogeny class with LMFDB label 165165.h (Cremona label 165165c)

• Label: 165165.h
• Number of curves: $1$
• Conductor: $165165$
• CM: no
• Rank: $1$

Rank

The elliptic curve 165165.h1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 - T\)
\(5\)	\(1 - T\)
\(7\)	\(1 - T\)
\(11\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 165165.h do not have complex multiplication.

Modular form 165165.2.a.h

Elliptic curves in class 165165.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
165165.h1	165165c1	\([0, 1, 1, -33040, 4121794]\)	\(-2996945995083776/3809309765625\)	\(-5070191298046875\)	\([]\)	\(1451520\)	\(1.7067\)	\(\Gamma_0(N)\)-optimal