Elliptic curve isogeny class with LMFDB label 102960.en (Cremona label 102960cj)

• Label: 102960.en
• Number of curves: $2$
• Conductor: $102960$
• CM: no
• Rank: $1$

Elliptic curves in class 102960.en

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
102960.en1	102960cj2	\([0, 0, 0, -4887, 106434]\)	\(2561648112/511225\)	\(2575985068800\)	\([2]\)	\(202752\)	\(1.0976\)
102960.en2	102960cj1	\([0, 0, 0, -1512, -21141]\)	\(1213857792/89375\)	\(28146690000\)	\([2]\)	\(101376\)	\(0.75104\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 102960.en have rank \(1\).

Complex multiplication

The elliptic curves in class 102960.en do not have complex multiplication.

Modular form 102960.2.a.en

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.