Elliptic curve isogeny class with LMFDB label 260100.z (Cremona label 260100z)

• Label: 260100.z
• Number of curves: $1$
• Conductor: $260100$
• CM: no
• Rank: $1$

Rank

The elliptic curve 260100.z1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(19\)	\( 1 + 3 T + 19 T^{2}\)	1.19.d
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 260100.z do not have complex multiplication.

Modular form 260100.2.a.z

Elliptic curves in class 260100.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
260100.z1	260100z1	\([0, 0, 0, -2947800, -41885781500]\)	\(-8192/2187\)	\(-756269516081306124000000\)	\([]\)	\(25589760\)	\(3.2611\)	\(\Gamma_0(N)\)-optimal