Elliptic curve isogeny class with Cremona label 8280o (LMFDB label 8280.c)

• Label: 8280o
• Number of curves: $2$
• Conductor: $8280$
• CM: no
• Rank: $1$

Elliptic curves in class 8280o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8280.c2	8280o1	\([0, 0, 0, -783, 10098]\)	\(-10536048/2645\)	\(-13327752960\)	\([2]\)	\(3840\)	\(0.66054\)	\(\Gamma_0(N)\)-optimal
8280.c1	8280o2	\([0, 0, 0, -13203, 583902]\)	\(12628458252/575\)	\(11589350400\)	\([2]\)	\(7680\)	\(1.0071\)

Rank

The elliptic curves in class 8280o have rank \(1\).

Complex multiplication

The elliptic curves in class 8280o do not have complex multiplication.

Modular form 8280.2.a.o

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.