Elliptic curve isogeny class with LMFDB label 154560.e (Cremona label 154560hu)

• Label: 154560.e
• Number of curves: $4$
• Conductor: $154560$
• CM: no
• Rank: $2$

Elliptic curves in class 154560.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
154560.e1	154560hu3	\([0, -1, 0, -687041, 219419841]\)	\(273629163383866082/26408025\)	\(3461352652800\)	\([2]\)	\(1310720\)	\(1.8398\)
154560.e2	154560hu4	\([0, -1, 0, -76161, -2532735]\)	\(372749784765122/194143359375\)	\(25446758400000000\)	\([2]\)	\(1310720\)	\(1.8398\)
154560.e3	154560hu2	\([0, -1, 0, -43041, 3422241]\)	\(134555337776164/1312250625\)	\(85999656960000\)	\([2, 2]\)	\(655360\)	\(1.4932\)
154560.e4	154560hu1	\([0, -1, 0, -721, 129745]\)	\(-2533446736/440749575\)	\(-7221241036800\)	\([2]\)	\(327680\)	\(1.1467\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 154560.e have rank \(2\).

Complex multiplication

The elliptic curves in class 154560.e do not have complex multiplication.

Modular form 154560.2.a.e

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.