Elliptic curve isogeny class with LMFDB label 121275.es (Cremona label 121275s)

• Label: 121275.es
• Number of curves: $2$
• Conductor: $121275$
• CM: no
• Rank: $0$

Elliptic curves in class 121275.es

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
121275.es1	121275s2	\([1, -1, 0, -20442, -1113659]\)	\(19034163/121\)	\(6005613796875\)	\([2]\)	\(230400\)	\(1.2890\)
121275.es2	121275s1	\([1, -1, 0, -2067, 7216]\)	\(19683/11\)	\(545964890625\)	\([2]\)	\(115200\)	\(0.94241\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 121275.es have rank \(0\).

Complex multiplication

The elliptic curves in class 121275.es do not have complex multiplication.

Modular form 121275.2.a.es

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.