Elliptic curve isogeny class with LMFDB label 143550.b (Cremona label 143550fo)

• Label: 143550.b
• Number of curves: $1$
• Conductor: $143550$
• CM: no
• Rank: $1$

Rank

The elliptic curve 143550.b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(11\)	\(1 - T\)
\(29\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 143550.b do not have complex multiplication.

Modular form 143550.2.a.b

Elliptic curves in class 143550.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
143550.b1	143550fo1	\([1, -1, 0, -293127, -61372099]\)	\(-5660577152687835/38801506304\)	\(-19093251214540800\)	\([]\)	\(2027520\)	\(1.9583\)	\(\Gamma_0(N)\)-optimal