Elliptic curve isogeny class with Cremona label 7440y (LMFDB label 7440.y)

• Label: 7440y
• Number of curves: $2$
• Conductor: $7440$
• CM: no
• Rank: $0$

Elliptic curves in class 7440y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7440.y2	7440y1	\([0, 1, 0, 35800, -11527500]\)	\(1238798620042199/14760960000000\)	\(-60460892160000000\)	\([2]\)	\(64512\)	\(1.9010\)	\(\Gamma_0(N)\)-optimal
7440.y1	7440y2	\([0, 1, 0, -599080, -166692172]\)	\(5805223604235668521/435937500000000\)	\(1785600000000000000\)	\([2]\)	\(129024\)	\(2.2475\)

Rank

The elliptic curves in class 7440y have rank \(0\).

Complex multiplication

The elliptic curves in class 7440y do not have complex multiplication.

Modular form 7440.2.a.y

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.