Elliptic curve isogeny class with LMFDB label 144150.bx (Cremona label 144150dl)

• Label: 144150.bx
• Number of curves: $2$
• Conductor: $144150$
• CM: no
• Rank: $1$

Rank

The elliptic curves in class 144150.bx have rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(5\)	\(1\)
\(31\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 4 T + 11 T^{2}\)	1.11.e
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 - 8 T + 23 T^{2}\)	1.23.ai
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 144150.bx do not have complex multiplication.

Modular form 144150.2.a.bx

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.

Elliptic curves in class 144150.bx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
144150.bx1	144150dl2	\([1, 0, 1, -165227401, -817481496052]\)	\(1071679233972039583519/1721868840000\)	\(801503040819375000000\)	\([2]\)	\(23592960\)	\(3.2755\)
144150.bx2	144150dl1	\([1, 0, 1, -10227401, -13031496052]\)	\(-254164210474783519/10497600000000\)	\(-4886468775000000000000\)	\([2]\)	\(11796480\)	\(2.9289\)	\(\Gamma_0(N)\)-optimal