Elliptic curve isogeny class with LMFDB label 2235.a (Cremona label 2235f)

• Label: 2235.a
• Number of curves: $2$
• Conductor: $2235$
• CM: no
• Rank: $1$

Elliptic curves in class 2235.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2235.a1	2235f2	\([0, 1, 1, -3470, -94654]\)	\(-4622078183550976/1101596636235\)	\(-1101596636235\)	\([]\)	\(4000\)	\(1.0295\)
2235.a2	2235f1	\([0, 1, 1, -20, 506]\)	\(-929714176/113146875\)	\(-113146875\)	\([5]\)	\(800\)	\(0.22481\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 2235.a have rank \(1\).

Complex multiplication

The elliptic curves in class 2235.a do not have complex multiplication.

Modular form 2235.2.a.a

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.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.