Elliptic curve isogeny class with Cremona label 92416bt (LMFDB label 92416.c)

• Label: 92416bt
• Number of curves: $2$
• Conductor: $92416$
• CM: \(\Q(\sqrt{-2}) \)
• Rank: $1$

Elliptic curves in class 92416bt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
92416.c2	92416bt1	\([0, 1, 0, -1203, 13825]\)	\(8000\)	\(24087491072\)	\([2]\)	\(57024\)	\(0.72167\)	\(\Gamma_0(N)\)-optimal	\(-8\)
92416.c1	92416bt2	\([0, 1, 0, -4813, -115413]\)	\(8000\)	\(1541599428608\)	\([2]\)	\(114048\)	\(1.0682\)		\(-8\)

Rank

The elliptic curves in class 92416bt have rank \(1\).

Complex multiplication

Each elliptic curve in class 92416bt has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-2}) \).

Modular form 92416.2.a.bt

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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.