Elliptic curve isogeny class with LMFDB label 26640.a (Cremona label 26640s)

• Label: 26640.a
• Number of curves: $1$
• Conductor: $26640$
• CM: no
• Rank: $0$

Rank

The elliptic curve 26640.a1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(37\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - T + 13 T^{2}\)	1.13.ab
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 26640.a do not have complex multiplication.

Modular form 26640.2.a.a

Elliptic curves in class 26640.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
26640.a1	26640s1	\([0, 0, 0, 432, -4752]\)	\(110592/185\)	\(-14914990080\)	\([]\)	\(17280\)	\(0.63716\)	\(\Gamma_0(N)\)-optimal