Elliptic curve isogeny class with LMFDB label 35739.a (Cremona label 35739r)

• Label: 35739.a
• Number of curves: $3$
• Conductor: $35739$
• CM: no
• Rank: $1$

Elliptic curves in class 35739.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35739.a1	35739r3	\([0, 0, 1, -25408263, -49295874780]\)	\(-52893159101157376/11\)	\(-377260919739\)	\([]\)	\(1080000\)	\(2.5182\)
35739.a2	35739r2	\([0, 0, 1, -33573, -4288590]\)	\(-122023936/161051\)	\(-5523477125898699\)	\([]\)	\(216000\)	\(1.7135\)
35739.a3	35739r1	\([0, 0, 1, -1083, 32580]\)	\(-4096/11\)	\(-377260919739\)	\([]\)	\(43200\)	\(0.90880\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 35739.a have rank \(1\).

Complex multiplication

The elliptic curves in class 35739.a do not have complex multiplication.

Modular form 35739.2.a.a

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.

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.