Elliptic curve isogeny class with Cremona label 3822z (LMFDB label 3822.z)

• Label: 3822z
• Number of curves: $1$
• Conductor: $3822$
• CM: no
• Rank: $0$

Rank

The elliptic curve 3822z1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 4 T + 5 T^{2}\)	1.5.ae
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(17\)	\( 1 + 3 T + 17 T^{2}\)	1.17.d
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3822z do not have complex multiplication.

Modular form 3822.2.a.z

Elliptic curves in class 3822z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3822.z1	3822z1	\([1, 1, 1, -182526, -30833349]\)	\(-2380771254001/69009408\)	\(-19493449708142592\)	\([]\)	\(64512\)	\(1.9050\)	\(\Gamma_0(N)\)-optimal