Elliptic curve isogeny class with Cremona label 259182bb (LMFDB label 259182.bb)

• Label: 259182bb
• Number of curves: $1$
• Conductor: $259182$
• CM: no
• Rank: $1$

Rank

The elliptic curve 259182bb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(7\)	\(1 + T\)
\(11\)	\(1\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 + 3 T + 23 T^{2}\)	1.23.d
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 259182bb do not have complex multiplication.

Modular form 259182.2.a.bb

Elliptic curves in class 259182bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
259182.bb1	259182bb1	\([1, -1, 0, -1180845, 410042947]\)	\(2064380297174770201/372414352163994\)	\(32850297590033746746\)	\([]\)	\(8225280\)	\(2.4639\)	\(\Gamma_0(N)\)-optimal