Elliptic curve isogeny class with LMFDB label 134640.r (Cremona label 134640bw)

• Label: 134640.r
• Number of curves: $2$
• Conductor: $134640$
• CM: no
• Rank: $2$

Elliptic curves in class 134640.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
134640.r1	134640bw2	\([0, 0, 0, -99003, 11860202]\)	\(35940267099001/448014600\)	\(1337764427366400\)	\([2]\)	\(884736\)	\(1.7122\)
134640.r2	134640bw1	\([0, 0, 0, -1083, 481898]\)	\(-47045881/33570240\)	\(-100240199516160\)	\([2]\)	\(442368\)	\(1.3656\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 134640.r have rank \(2\).

Complex multiplication

The elliptic curves in class 134640.r do not have complex multiplication.

Modular form 134640.2.a.r

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.