Elliptic curve isogeny class with LMFDB label 270480.et (Cremona label 270480et)

• Label: 270480.et
• Number of curves: $2$
• Conductor: $270480$
• CM: no
• Rank: $1$

Elliptic curves in class 270480.et

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
270480.et1	270480et2	\([0, -1, 0, -41960, 3037392]\)	\(33909572018/3234375\)	\(779306976000000\)	\([2]\)	\(1548288\)	\(1.5953\)
270480.et2	270480et1	\([0, -1, 0, 3120, 224400]\)	\(27871484/198375\)	\(-23898747264000\)	\([2]\)	\(774144\)	\(1.2487\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 270480.et have rank \(1\).

Complex multiplication

The elliptic curves in class 270480.et do not have complex multiplication.

Modular form 270480.2.a.et

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.