Elliptic curve isogeny class with Cremona label 64350db (LMFDB label 64350.db)

• Label: 64350db
• Number of curves: $1$
• Conductor: $64350$
• CM: no
• Rank: $1$

Rank

The elliptic curve 64350db1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 - T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 3 T + 7 T^{2}\)	1.7.d
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 - 2 T + 23 T^{2}\)	1.23.ac
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 64350db do not have complex multiplication.

Modular form 64350.2.a.db

Elliptic curves in class 64350db

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
64350.db1	64350db1	\([1, -1, 1, -5, 51997]\)	\(-27/2768480\)	\(-1167952500000\)	\([]\)	\(115200\)	\(0.99441\)	\(\Gamma_0(N)\)-optimal