Elliptic curve isogeny class with Cremona label 28665bu (LMFDB label 28665.e)

• Label: 28665bu
• Number of curves: $1$
• Conductor: $28665$
• CM: no
• Rank: $0$

Rank

The elliptic curve 28665bu1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - T + 2 T^{2}\)	1.2.ab
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 28665bu do not have complex multiplication.

Modular form 28665.2.a.bu

Elliptic curves in class 28665bu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
28665.e1	28665bu1	\([0, 0, 1, -147, -6260]\)	\(-4096/195\)	\(-16724393595\)	\([]\)	\(31680\)	\(0.64168\)	\(\Gamma_0(N)\)-optimal