Elliptic curve isogeny class with Cremona label 453152t (LMFDB label 453152.t)

• Label: 453152t
• Number of curves: $2$
• Conductor: $453152$
• CM: \(\Q(\sqrt{-1}) \)
• Rank: $1$

Elliptic curves in class 453152t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
453152.t1	453152t1	\([0, 0, 0, -240737, 0]\)	\(1728\)	\(892911685247715392\)	\([2]\)	\(6684672\)	\(2.1339\)	\(\Gamma_0(N)\)-optimal	\(-4\)
453152.t2	453152t2	\([0, 0, 0, 962948, 0]\)	\(1728\)	\(-57146347855853785088\)	\([2]\)	\(13369344\)	\(2.4805\)		\(-4\)

Rank

The elliptic curves in class 453152t have rank \(1\).

Complex multiplication

Each elliptic curve in class 453152t has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-1}) \).

Modular form 453152.2.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.

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

Isogeny graph

The vertices are labelled with Cremona labels.