Elliptic curve isogeny class with Cremona label 110400gc (LMFDB label 110400.j)

• Label: 110400gc
• Number of curves: $4$
• Conductor: $110400$
• CM: no
• Rank: $0$

Elliptic curves in class 110400gc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110400.j3	110400gc1	\([0, -1, 0, -16533, 562437]\)	\(31238127616/9703125\)	\(155250000000000\)	\([2]\)	\(387072\)	\(1.4274\)	\(\Gamma_0(N)\)-optimal
110400.j4	110400gc2	\([0, -1, 0, 45967, 3749937]\)	\(41957807024/48205125\)	\(-12340512000000000\)	\([2]\)	\(774144\)	\(1.7740\)
110400.j1	110400gc3	\([0, -1, 0, -1216533, 516862437]\)	\(12444451776495616/912525\)	\(14600400000000\)	\([2]\)	\(1161216\)	\(1.9767\)
110400.j2	110400gc4	\([0, -1, 0, -1214033, 519089937]\)	\(-772993034343376/6661615005\)	\(-1705373441280000000\)	\([2]\)	\(2322432\)	\(2.3233\)

Rank

The elliptic curves in class 110400gc have rank \(0\).

Complex multiplication

The elliptic curves in class 110400gc do not have complex multiplication.

Modular form 110400.2.a.gc

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.