Elliptic curve isogeny class with LMFDB label 46529.a (Cremona label 46529d)

• Label: 46529.a
• Number of curves: $4$
• Conductor: $46529$
• CM: no
• Rank: $0$

Elliptic curves in class 46529.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46529.a1	46529d4	\([1, -1, 1, -35746, 2609602]\)	\(209267191953/55223\)	\(1332948972887\)	\([2]\)	\(102400\)	\(1.3110\)
46529.a2	46529d2	\([1, -1, 1, -2511, 30566]\)	\(72511713/25921\)	\(625669926049\)	\([2, 2]\)	\(51200\)	\(0.96440\)
46529.a3	46529d1	\([1, -1, 1, -1066, -12784]\)	\(5545233/161\)	\(3886148609\)	\([2]\)	\(25600\)	\(0.61783\)	\(\Gamma_0(N)\)-optimal
46529.a4	46529d3	\([1, -1, 1, 7604, 208590]\)	\(2014698447/1958887\)	\(-47282770125703\)	\([2]\)	\(102400\)	\(1.3110\)

Rank

The elliptic curves in class 46529.a have rank \(0\).

Complex multiplication

The elliptic curves in class 46529.a do not have complex multiplication.

Modular form 46529.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.