Elliptic curve isogeny class with Cremona label 145600gz (LMFDB label 145600.fj)

• Label: 145600gz
• Number of curves: $2$
• Conductor: $145600$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 145600gz have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(13\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(11\)	\( 1 - 6 T + 11 T^{2}\)	1.11.ag
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 145600gz do not have complex multiplication.

Modular form 145600.2.a.gz

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 145600gz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
145600.fj2	145600gz1	\([0, 1, 0, 10367, 2672863]\)	\(30080231/768950\)	\(-3149619200000000\)	\([]\)	\(663552\)	\(1.6540\)	\(\Gamma_0(N)\)-optimal
145600.fj1	145600gz2	\([0, 1, 0, -93633, -73559137]\)	\(-22164361129/557375000\)	\(-2283008000000000000\)	\([]\)	\(1990656\)	\(2.2033\)