Elliptic curve isogeny class with LMFDB label 6930.i (Cremona label 6930c)

• Label: 6930.i
• Number of curves: $2$
• Conductor: $6930$
• CM: no
• Rank: $0$

Elliptic curves in class 6930.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6930.i1	6930c1	\([1, -1, 0, -2094, -33580]\)	\(51603494067/4336640\)	\(85358085120\)	\([2]\)	\(7680\)	\(0.83928\)	\(\Gamma_0(N)\)-optimal
6930.i2	6930c2	\([1, -1, 0, 2226, -157132]\)	\(61958108493/573927200\)	\(-11296609077600\)	\([2]\)	\(15360\)	\(1.1859\)

Rank

The elliptic curves in class 6930.i have rank \(0\).

Complex multiplication

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

Modular form 6930.2.a.i

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.