Elliptic curve isogeny class with LMFDB label 58800.fy (Cremona label 58800hx)

• Label: 58800.fy
• Number of curves: $2$
• Conductor: $58800$
• CM: no
• Rank: $1$

Elliptic curves in class 58800.fy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
58800.fy1	58800hx1	\([0, 1, 0, -637408, -440684812]\)	\(-77626969/182250\)	\(-67240638864000000000\)	\([]\)	\(1741824\)	\(2.4929\)	\(\Gamma_0(N)\)-optimal
58800.fy2	58800hx2	\([0, 1, 0, 5536592, 9746415188]\)	\(50872947671/140625000\)	\(-51883209000000000000000\)	\([]\)	\(5225472\)	\(3.0422\)

Rank

The elliptic curves in class 58800.fy have rank \(1\).

Complex multiplication

The elliptic curves in class 58800.fy do not have complex multiplication.

Modular form 58800.2.a.fy

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.