Elliptic curve isogeny class with LMFDB label 82810.b (Cremona label 82810q)

• Label: 82810.b
• Number of curves: $2$
• Conductor: $82810$
• CM: no
• Rank: $2$

Elliptic curves in class 82810.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82810.b1	82810q2	\([1, 0, 1, -629529, -192102298]\)	\(48587168449/59150\)	\(33589466258225150\)	\([2]\)	\(1032192\)	\(2.0813\)
82810.b2	82810q1	\([1, 0, 1, -49859, -1274934]\)	\(24137569/12740\)	\(7234654271002340\)	\([2]\)	\(516096\)	\(1.7347\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 82810.b have rank \(2\).

Complex multiplication

The elliptic curves in class 82810.b do not have complex multiplication.

Modular form 82810.2.a.b

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.