Elliptic curve isogeny class with LMFDB label 141610.ce (Cremona label 141610l)

• Label: 141610.ce
• Number of curves: $1$
• Conductor: $141610$
• CM: no
• Rank: $0$

Rank

The elliptic curve 141610.ce1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(5\)	\(1 - T\)
\(7\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 141610.ce do not have complex multiplication.

Modular form 141610.2.a.ce

Elliptic curves in class 141610.ce

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141610.ce1	141610l1	\([1, 1, 1, 2761100, 2451478917]\)	\(341425679/578000\)	\(-3940957640220155618000\)	\([]\)	\(8128512\)	\(2.8288\)	\(\Gamma_0(N)\)-optimal