Elliptic curve isogeny class with Cremona label 496860dq (LMFDB label 496860.dq)

• Label: 496860dq
• Number of curves: $2$
• Conductor: $496860$
• CM: no
• Rank: $1$

Elliptic curves in class 496860dq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
496860.dq1	496860dq1	\([0, 1, 0, -4681525, -3900229852]\)	\(1248870793216/42525\)	\(386378239088696400\)	\([2]\)	\(12441600\)	\(2.4663\)	\(\Gamma_0(N)\)-optimal
496860.dq2	496860dq2	\([0, 1, 0, -4474500, -4260618972]\)	\(-68150496976/14467005\)	\(-2103134031007592244480\)	\([2]\)	\(24883200\)	\(2.8129\)

Rank

The elliptic curves in class 496860dq have rank \(1\).

Complex multiplication

The elliptic curves in class 496860dq do not have complex multiplication.

Modular form 496860.2.a.dq

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.