Elliptic curve isogeny class with Cremona label 48960ci (LMFDB label 48960.o)

• Label: 48960ci
• Number of curves: $1$
• Conductor: $48960$
• CM: no
• Rank: $1$

Rank

The elliptic curve 48960ci1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 - 6 T + 29 T^{2}\)	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 48960ci do not have complex multiplication.

Modular form 48960.2.a.ci

Elliptic curves in class 48960ci

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
48960.o1	48960ci1	\([0, 0, 0, -18588, -1088872]\)	\(-951468070144/135517455\)	\(-101163238087680\)	\([]\)	\(159744\)	\(1.4182\)	\(\Gamma_0(N)\)-optimal