Elliptic curve isogeny class with Cremona label 35520bp (LMFDB label 35520.i)

• Label: 35520bp
• Number of curves: $4$
• Conductor: $35520$
• CM: no
• Rank: $0$

Elliptic curves in class 35520bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35520.i4	35520bp1	\([0, -1, 0, -82001, -9508815]\)	\(-3721915550952016/243896484375\)	\(-3996000000000000\)	\([2]\)	\(202752\)	\(1.7462\)	\(\Gamma_0(N)\)-optimal
35520.i3	35520bp2	\([0, -1, 0, -1332001, -591258815]\)	\(3988023972023988004/15593765625\)	\(1021953024000000\)	\([2, 2]\)	\(405504\)	\(2.0928\)
35520.i2	35520bp3	\([0, -1, 0, -1352001, -572566815]\)	\(2085187657182084002/124500749500125\)	\(16318562238480384000\)	\([2]\)	\(811008\)	\(2.4394\)
35520.i1	35520bp4	\([0, -1, 0, -21312001, -37861950815]\)	\(8167450100737631904002/124875\)	\(16367616000\)	\([2]\)	\(811008\)	\(2.4394\)

Rank

The elliptic curves in class 35520bp have rank \(0\).

Complex multiplication

The elliptic curves in class 35520bp do not have complex multiplication.

Modular form 35520.2.a.bp

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.