Elliptic curve isogeny class with Cremona label 154800cq (LMFDB label 154800.dw)

• Label: 154800cq
• Number of curves: $4$
• Conductor: $154800$
• CM: no
• Rank: $2$

Elliptic curves in class 154800cq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
154800.dw4	154800cq1	\([0, 0, 0, 5325, 1363250]\)	\(357911/17415\)	\(-812514240000000\)	\([2]\)	\(540672\)	\(1.5407\)	\(\Gamma_0(N)\)-optimal
154800.dw3	154800cq2	\([0, 0, 0, -156675, 22909250]\)	\(9116230969/416025\)	\(19410062400000000\)	\([2, 2]\)	\(1081344\)	\(1.8872\)
154800.dw1	154800cq3	\([0, 0, 0, -2478675, 1502023250]\)	\(36097320816649/80625\)	\(3761640000000000\)	\([2]\)	\(2162688\)	\(2.2338\)
154800.dw2	154800cq4	\([0, 0, 0, -426675, -77260750]\)	\(184122897769/51282015\)	\(2392613691840000000\)	\([2]\)	\(2162688\)	\(2.2338\)

Rank

The elliptic curves in class 154800cq have rank \(2\).

Complex multiplication

The elliptic curves in class 154800cq do not have complex multiplication.

Modular form 154800.2.a.cq

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.