Elliptic curve isogeny class with Cremona label 148225bj (LMFDB label 148225.bj)

• Label: 148225bj
• Number of curves: $2$
• Conductor: $148225$
• CM: \(\Q(\sqrt{-11}) \)
• Rank: $0$

Elliptic curves in class 148225bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality	CM discriminant
148225.bj2	148225bj1	\([0, -1, 1, -8983, -333257]\)	\(-32768\)	\(-2446731546875\)	\([]\)	\(165888\)	\(1.1546\)	\(\Gamma_0(N)\)-optimal	\(-11\)
148225.bj1	148225bj2	\([0, -1, 1, -1086983, 447912618]\)	\(-32768\)	\(-4334534185913421875\)	\([]\)	\(1824768\)	\(2.3535\)		\(-11\)

Rank

The elliptic curves in class 148225bj have rank \(0\).

Complex multiplication

Each elliptic curve in class 148225bj has complex multiplication by an order in the imaginary quadratic field \(\Q(\sqrt{-11}) \).

Modular form 148225.2.a.bj

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.