Elliptic curve isogeny class with Cremona label 141610bb (LMFDB label 141610.cn)

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

Rank

The elliptic curve 141610bb1 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.ab
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 6 T + 13 T^{2}\)	1.13.ag
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 5 T + 29 T^{2}\)	1.29.af
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 141610.2.a.bb

Elliptic curves in class 141610bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141610.cn1	141610bb1	\([1, 0, 0, 56349, -7139119]\)	\(341425679/578000\)	\(-33497587231682000\)	\([]\)	\(1161216\)	\(1.8558\)	\(\Gamma_0(N)\)-optimal