Elliptic curve isogeny class with LMFDB label 11.a (Cremona label 11a)

• Label: 11.a
• Number of curves: $3$
• Conductor: $11$
• CM: no
• Rank: $0$

Elliptic curves in class 11.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11.a1	11a2	\([0, -1, 1, -7820, -263580]\)	\(-52893159101157376/11\)	\(-11\)	\([]\)	\(5\)	\(0.49671\)
11.a2	11a1	\([0, -1, 1, -10, -20]\)	\(-122023936/161051\)	\(-161051\)	\([5]\)	\(1\)	\(-0.30801\)	\(\Gamma_0(N)\)-optimal
11.a3	11a3	\([0, -1, 1, 0, 0]\)	\(-4096/11\)	\(-11\)	\([5]\)	\(5\)	\(-1.1127\)

Rank

The elliptic curves in class 11.a have rank \(0\).

Complex multiplication

The elliptic curves in class 11.a do not have complex multiplication.

Modular form 11.2.a.a

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.

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.