Elliptic curve isogeny class with LMFDB label 5525.c (Cremona label 5525e)

• Label: 5525.c
• Number of curves: $2$
• Conductor: $5525$
• CM: no
• Rank: $2$

Elliptic curves in class 5525.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5525.c1	5525e1	\([1, 0, 0, -1488, 21967]\)	\(23320116793/2873\)	\(44890625\)	\([2]\)	\(3072\)	\(0.49170\)	\(\Gamma_0(N)\)-optimal
5525.c2	5525e2	\([1, 0, 0, -1363, 25842]\)	\(-17923019113/8254129\)	\(-128970765625\)	\([2]\)	\(6144\)	\(0.83827\)

Rank

The elliptic curves in class 5525.c have rank \(2\).

Complex multiplication

The elliptic curves in class 5525.c do not have complex multiplication.

Modular form 5525.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.