Elliptic curve isogeny class with Cremona label 35280r (LMFDB label 35280.dv)

• Label: 35280r
• Number of curves: $2$
• Conductor: $35280$
• CM: no
• Rank: $1$

Elliptic curves in class 35280r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35280.dv2	35280r1	\([0, 0, 0, -147, -6174]\)	\(-108/5\)	\(-16263797760\)	\([2]\)	\(23040\)	\(0.63937\)	\(\Gamma_0(N)\)-optimal
35280.dv1	35280r2	\([0, 0, 0, -6027, -179046]\)	\(3721734/25\)	\(162637977600\)	\([2]\)	\(46080\)	\(0.98594\)

Rank

The elliptic curves in class 35280r have rank \(1\).

Complex multiplication

The elliptic curves in class 35280r do not have complex multiplication.

Modular form 35280.2.a.r

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.