Elliptic curve isogeny class with LMFDB label 76050.dg (Cremona label 76050gg)

• Label: 76050.dg
• Number of curves: $2$
• Conductor: $76050$
• CM: no
• Rank: $2$

Elliptic curves in class 76050.dg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
76050.dg1	76050gg2	\([1, -1, 1, -430843055, 3442233731447]\)	\(-6434774386429585/140608\)	\(-193267001072925000000\)	\([]\)	\(21772800\)	\(3.4189\)
76050.dg2	76050gg1	\([1, -1, 1, -4963055, 5382131447]\)	\(-9836106385/3407872\)	\(-4684151694643200000000\)	\([]\)	\(7257600\)	\(2.8696\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 76050.dg have rank \(2\).

Complex multiplication

The elliptic curves in class 76050.dg do not have complex multiplication.

Modular form 76050.2.a.dg

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.