Elliptic curve isogeny class with LMFDB label 144222.o (Cremona label 144222b)

• Label: 144222.o
• Number of curves: $4$
• Conductor: $144222$
• CM: no
• Rank: $1$

Elliptic curves in class 144222.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
144222.o1	144222b4	\([1, 0, 0, -38347374, -91404315180]\)	\(986551739719628473/111045168\)	\(701956821765197232\)	\([2]\)	\(12902400\)	\(2.8487\)
144222.o2	144222b3	\([1, 0, 0, -4325774, 1174138548]\)	\(1416134368422073/725251155408\)	\(4584575855040687718992\)	\([2]\)	\(12902400\)	\(2.8487\)
144222.o3	144222b2	\([1, 0, 0, -2402814, -1420703676]\)	\(242702053576633/2554695936\)	\(16149160491260868864\)	\([2, 2]\)	\(6451200\)	\(2.5021\)
144222.o4	144222b1	\([1, 0, 0, -36094, -55106236]\)	\(-822656953/207028224\)	\(-1308700565293694976\)	\([2]\)	\(3225600\)	\(2.1555\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 144222.o have rank \(1\).

Complex multiplication

The elliptic curves in class 144222.o do not have complex multiplication.

Modular form 144222.2.a.o

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.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.