Elliptic curve isogeny class with Cremona label 79560bd (LMFDB label 79560.bd)

• Label: 79560bd
• Number of curves: $2$
• Conductor: $79560$
• CM: no
• Rank: $1$

Elliptic curves in class 79560bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
79560.bd1	79560bd1	\([0, 0, 0, -3207, 69626]\)	\(19545784144/89505\)	\(16703781120\)	\([2]\)	\(57344\)	\(0.81244\)	\(\Gamma_0(N)\)-optimal
79560.bd2	79560bd2	\([0, 0, 0, -1587, 139934]\)	\(-592143556/10989225\)	\(-8203412505600\)	\([2]\)	\(114688\)	\(1.1590\)

Rank

The elliptic curves in class 79560bd have rank \(1\).

Complex multiplication

The elliptic curves in class 79560bd do not have complex multiplication.

Modular form 79560.2.a.bd

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.