Elliptic curve isogeny class with LMFDB label 35280.fd (Cremona label 35280dj)

• Label: 35280.fd
• Number of curves: $2$
• Conductor: $35280$
• CM: no
• Rank: $0$

Elliptic curves in class 35280.fd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35280.fd1	35280dj2	\([0, 0, 0, -1176147, -351232686]\)	\(55306341/15625\)	\(50833922981184000000\)	\([2]\)	\(1032192\)	\(2.4881\)
35280.fd2	35280dj1	\([0, 0, 0, -435267, 106186626]\)	\(2803221/125\)	\(406671383849472000\)	\([2]\)	\(516096\)	\(2.1416\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 35280.fd have rank \(0\).

Complex multiplication

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

Modular form 35280.2.a.fd

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.