Elliptic curve isogeny class with LMFDB label 69938.i (Cremona label 69938g)

• Label: 69938.i
• Number of curves: $2$
• Conductor: $69938$
• CM: no
• Rank: $0$

Elliptic curves in class 69938.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
69938.i1	69938g2	\([1, 1, 0, -1819116, -970747312]\)	\(-128667913/4096\)	\(-21193122942567583744\)	\([]\)	\(2661120\)	\(2.4843\)
69938.i2	69938g1	\([1, 1, 0, 104179, -4868563]\)	\(24167/16\)	\(-82785636494404624\)	\([]\)	\(887040\)	\(1.9350\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 69938.i have rank \(0\).

Complex multiplication

The elliptic curves in class 69938.i do not have complex multiplication.

Modular form 69938.2.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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.