Elliptic curve isogeny class with LMFDB label 71478.y (Cremona label 71478o)

• Label: 71478.y
• Number of curves: $2$
• Conductor: $71478$
• CM: no
• Rank: $1$

Elliptic curves in class 71478.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
71478.y1	71478o1	\([1, -1, 0, -118656, 15454912]\)	\(5386984777/120384\)	\(4128743505623616\)	\([2]\)	\(552960\)	\(1.7838\)	\(\Gamma_0(N)\)-optimal
71478.y2	71478o2	\([1, -1, 0, 11304, 47399080]\)	\(4657463/28305288\)	\(-970770816759752712\)	\([2]\)	\(1105920\)	\(2.1303\)

Rank

The elliptic curves in class 71478.y have rank \(1\).

Complex multiplication

The elliptic curves in class 71478.y do not have complex multiplication.

Modular form 71478.2.a.y

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.