Elliptic curve isogeny class with Cremona label 144400t (LMFDB label 144400.bj)

• Label: 144400t
• Number of curves: $2$
• Conductor: $144400$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 144400t have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(19\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 144400t do not have complex multiplication.

Modular form 144400.2.a.t

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 144400t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
144400.bj2	144400t1	\([0, 0, 0, 1805, 1028850]\)	\(27/19\)	\(-457662330368000\)	\([2]\)	\(368640\)	\(1.4921\)	\(\Gamma_0(N)\)-optimal
144400.bj1	144400t2	\([0, 0, 0, -142595, 20234050]\)	\(13312053/361\)	\(8695584276992000\)	\([2]\)	\(737280\)	\(1.8387\)