Elliptic curve isogeny class with Cremona label 222530bj (LMFDB label 222530.o)

• Label: 222530bj
• Number of curves: $4$
• Conductor: $222530$
• CM: no
• Rank: $0$

Elliptic curves in class 222530bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
222530.o4	222530bj1	\([1, -1, 0, -8435, -3153419]\)	\(-2749884201/176619520\)	\(-4263165850746880\)	\([2]\)	\(1310720\)	\(1.6789\)	\(\Gamma_0(N)\)-optimal
222530.o3	222530bj2	\([1, -1, 0, -378355, -88900875]\)	\(248158561089321/1859334400\)	\(44879812374073600\)	\([2, 2]\)	\(2621440\)	\(2.0254\)
222530.o2	222530bj3	\([1, -1, 0, -632675, 45837861]\)	\(1160306142246441/634128110000\)	\(15306311009964590000\)	\([2]\)	\(5242880\)	\(2.3720\)
222530.o1	222530bj4	\([1, -1, 0, -6042755, -5715915835]\)	\(1010962818911303721/57392720\)	\(1385320739097680\)	\([2]\)	\(5242880\)	\(2.3720\)

Rank

The elliptic curves in class 222530bj have rank \(0\).

Complex multiplication

The elliptic curves in class 222530bj do not have complex multiplication.

Modular form 222530.2.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.

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

Isogeny graph

The vertices are labelled with Cremona labels.