Elliptic curve isogeny class with Cremona label 6930b (LMFDB label 6930.e)

• Label: 6930b
• Number of curves: $2$
• Conductor: $6930$
• CM: no
• Rank: $1$

Elliptic curves in class 6930b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6930.e2	6930b1	\([1, -1, 0, -75, 325]\)	\(-1740992427/492800\)	\(-13305600\)	\([2]\)	\(1536\)	\(0.082274\)	\(\Gamma_0(N)\)-optimal
6930.e1	6930b2	\([1, -1, 0, -1275, 17845]\)	\(8493409990827/474320\)	\(12806640\)	\([2]\)	\(3072\)	\(0.42885\)

Rank

The elliptic curves in class 6930b have rank \(1\).

Complex multiplication

The elliptic curves in class 6930b do not have complex multiplication.

Modular form 6930.2.a.b

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.