Elliptic curve isogeny class with Cremona label 2541j (LMFDB label 2541.e)

• Label: 2541j
• Number of curves: $2$
• Conductor: $2541$
• CM: no
• Rank: $1$

Elliptic curves in class 2541j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2541.e2	2541j1	\([0, 1, 1, -7, -5]\)	\(360448/189\)	\(22869\)	\([]\)	\(192\)	\(-0.47182\)	\(\Gamma_0(N)\)-optimal
2541.e1	2541j2	\([0, 1, 1, -337, 2272]\)	\(35084566528/1029\)	\(124509\)	\([]\)	\(576\)	\(0.077485\)

Rank

The elliptic curves in class 2541j have rank \(1\).

Complex multiplication

The elliptic curves in class 2541j do not have complex multiplication.

Modular form 2541.2.a.j

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.