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

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

Rank

The elliptic curve 259182.bc1 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
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 259182.2.a.bc

Elliptic curves in class 259182.bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
259182.bc1	259182bc1	\([1, -1, 0, -33913510065, 2528798202701469]\)	\(-2509459799075197003568051/154883294784898727936\)	\(-266235689630830212662830200520704\)	\([]\)	\(850037760\)	\(4.9762\)	\(\Gamma_0(N)\)-optimal