Elliptic curve isogeny class with LMFDB label 141570.l (Cremona label 141570ex)

• Label: 141570.l
• Number of curves: $1$
• Conductor: $141570$
• CM: no
• Rank: $1$

Rank

The elliptic curve 141570.l1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1 + T\)
\(11\)	\(1\)
\(13\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 3 T + 19 T^{2}\)	1.19.ad
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 141570.l do not have complex multiplication.

Modular form 141570.2.a.l

Elliptic curves in class 141570.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141570.l1	141570ex1	\([1, -1, 0, 20850, 1777870]\)	\(20956092093/40842230\)	\(-1953571549167810\)	\([]\)	\(806400\)	\(1.6186\)	\(\Gamma_0(N)\)-optimal