Elliptic curve isogeny class with Cremona label 106470ed (LMFDB label 106470.dx)

• Label: 106470ed
• Number of curves: $1$
• Conductor: $106470$
• CM: no
• Rank: $1$

Rank

The elliptic curve 106470ed1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(7\)	\(1 - T\)
\(13\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 106470ed do not have complex multiplication.

Modular form 106470.2.a.ed

Elliptic curves in class 106470ed

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
106470.dx1	106470ed1	\([1, -1, 1, -40163, -3184333]\)	\(-58153757003329/2126250000\)	\(-261956126250000\)	\([]\)	\(537600\)	\(1.5379\)	\(\Gamma_0(N)\)-optimal