Elliptic curve isogeny class with LMFDB label 1936.h (Cremona label 1936f)

• Label: 1936.h
• Number of curves: $2$
• Conductor: $1936$
• CM: \(\Q(\sqrt{-11}) \)
• Rank: $0$

Elliptic curves in class 1936.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
1936.h1	1936f2	\([0, 1, 0, -14197, 663331]\)	\(-32768\)	\(-9658153742336\)	\([]\)	\(3168\)	\(1.2690\)		\(-11\)
1936.h2	1936f1	\([0, 1, 0, -117, -541]\)	\(-32768\)	\(-5451776\)	\([]\)	\(288\)	\(0.070074\)	\(\Gamma_0(N)\)-optimal	\(-11\)

Rank

The elliptic curves in class 1936.h have rank \(0\).

Complex multiplication

Each elliptic curve in class 1936.h has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-11}) \).

Modular form 1936.2.a.h

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.