Elliptic curve isogeny class with LMFDB label 54777.c (Cremona label 54777a)

• Label: 54777.c
• Number of curves: $4$
• Conductor: $54777$
• CM: no
• Rank: $0$

Elliptic curves in class 54777.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
54777.c1	54777a4	\([1, 1, 0, -97561, -11769650]\)	\(115714886617/1539\)	\(1365868165059\)	\([2]\)	\(172800\)	\(1.4720\)
54777.c2	54777a2	\([1, 1, 0, -6266, -175185]\)	\(30664297/3249\)	\(2883499459569\)	\([2, 2]\)	\(86400\)	\(1.1254\)
54777.c3	54777a1	\([1, 1, 0, -1461, 17976]\)	\(389017/57\)	\(50587709817\)	\([2]\)	\(43200\)	\(0.77884\)	\(\Gamma_0(N)\)-optimal
54777.c4	54777a3	\([1, 1, 0, 8149, -846924]\)	\(67419143/390963\)	\(-346981101634803\)	\([2]\)	\(172800\)	\(1.4720\)

Rank

The elliptic curves in class 54777.c have rank \(0\).

Complex multiplication

The elliptic curves in class 54777.c do not have complex multiplication.

Modular form 54777.2.a.c

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.