Elliptic curve isogeny class with Cremona label 5929a (LMFDB label 5929.e)

• Label: 5929a
• Number of curves: $2$
• Conductor: $5929$
• CM: \(\Q(\sqrt{-11}) \)
• Rank: $0$

Elliptic curves in class 5929a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
5929.e2	5929a1	\([0, 1, 1, -359, -2810]\)	\(-32768\)	\(-156590819\)	\([]\)	\(1536\)	\(0.34988\)	\(\Gamma_0(N)\)-optimal	\(-11\)
5929.e1	5929a2	\([0, 1, 1, -43479, 3565909]\)	\(-32768\)	\(-277410187898459\)	\([]\)	\(16896\)	\(1.5488\)		\(-11\)

Rank

The elliptic curves in class 5929a have rank \(0\).

Complex multiplication

Each elliptic curve in class 5929a has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-11}) \).

Modular form 5929.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.