Elliptic curve isogeny class with Cremona label 182070dg (LMFDB label 182070.g)

• Label: 182070dg
• Number of curves: $1$
• Conductor: $182070$
• CM: no
• Rank: $0$

Rank

The elliptic curve 182070dg1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(7\)	\(1 + T\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 182070dg do not have complex multiplication.

Modular form 182070.2.a.dg

Elliptic curves in class 182070dg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
182070.g1	182070dg1	\([1, -1, 0, -6480, -218624]\)	\(-142843688929/16800000\)	\(-3539440800000\)	\([]\)	\(368640\)	\(1.1438\)	\(\Gamma_0(N)\)-optimal