Elliptic curve isogeny class with LMFDB label 143.a (Cremona label 143a)

• Label: 143.a
• Number of curves: $1$
• Conductor: $143$
• CM: no
• Rank: $1$

Rank

The elliptic curve 143.a1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T^{2}\)	1.2.a
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 - 7 T + 23 T^{2}\)	1.23.ah
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 143.a do not have complex multiplication.

Modular form 143.2.a.a

Elliptic curves in class 143.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
143.a1	143a1	\([0, -1, 1, -1, -2]\)	\(-262144/1859\)	\(-1859\)	\([]\)	\(4\)	\(-0.68950\)	\(\Gamma_0(N)\)-optimal