Elliptic curve isogeny class with Cremona label 48552bb (LMFDB label 48552.y)

• Label: 48552bb
• Number of curves: $1$
• Conductor: $48552$
• CM: no
• Rank: $1$

Rank

The elliptic curve 48552bb1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(11\)	\( 1 + 5 T + 11 T^{2}\)	1.11.f
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 48552bb do not have complex multiplication.

Modular form 48552.2.a.bb

Elliptic curves in class 48552bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
48552.y1	48552bb1	\([0, 1, 0, -27490065, 55467695331]\)	\(-371806976516936704/89266779\)	\(-551598857605184256\)	\([]\)	\(1548288\)	\(2.7823\)	\(\Gamma_0(N)\)-optimal