Elliptic curve isogeny class with Cremona label 101761c (LMFDB label 101761.e)

• Label: 101761c
• Number of curves: $2$
• Conductor: $101761$
• CM: no
• Rank: $0$

Elliptic curves in class 101761c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
101761.e2	101761c1	\([1, 0, 0, -2120, -147047]\)	\(-121\)	\(-8708808242761\)	\([]\)	\(137592\)	\(1.1657\)	\(\Gamma_0(N)\)-optimal
101761.e1	101761c2	\([1, 0, 0, -3054950, 2055018109]\)	\(-24729001\)	\(-127505661482263801\)	\([]\)	\(1513512\)	\(2.3646\)

Rank

The elliptic curves in class 101761c have rank \(0\).

Complex multiplication

The elliptic curves in class 101761c do not have complex multiplication.

Modular form 101761.2.a.c

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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.