Elliptic curve isogeny class with Cremona label 370881t (LMFDB label 370881.t)

• Label: 370881t
• Number of curves: $2$
• Conductor: $370881$
• CM: \(\Q(\sqrt{-3}) \)
• Rank: $0$

Elliptic curves in class 370881t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
370881.t1	370881t1	\([0, 0, 1, 0, -1758831027]\)	\(0\)	\(-1336386202844454381123\)	\([]\)	\(8331120\)	\(2.7326\)	\(\Gamma_0(N)\)-optimal	\(-3\)
370881.t2	370881t2	\([0, 0, 1, 0, 47488437722]\)	\(0\)	\(-974225541873607243838667\)	\([]\)	\(24993360\)	\(3.2819\)		\(-3\)

Rank

The elliptic curves in class 370881t have rank \(0\).

Complex multiplication

Each elliptic curve in class 370881t has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-3}) \).

Modular form 370881.2.a.t

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.