Elliptic curve isogeny class with Cremona label 8330u (LMFDB label 8330.u)

• Label: 8330u
• Number of curves: $1$
• Conductor: $8330$
• CM: no
• Rank: $0$

Rank

The elliptic curve 8330u1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 8330u do not have complex multiplication.

Modular form 8330.2.a.u

Elliptic curves in class 8330u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8330.u1	8330u1	\([1, -1, 1, 19958, 52259]\)	\(3112538751/1806250\)	\(-510220918506250\)	\([]\)	\(30240\)	\(1.5116\)	\(\Gamma_0(N)\)-optimal