Elliptic curve isogeny class with LMFDB label 7938.i (Cremona label 7938m)

• Label: 7938.i
• Number of curves: $4$
• Conductor: $7938$
• CM: no
• Rank: $1$

Elliptic curves in class 7938.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7938.i1	7938m3	\([1, -1, 0, -52782, -4654252]\)	\(-189613868625/128\)	\(-10978063488\)	\([]\)	\(15120\)	\(1.2423\)
7938.i2	7938m4	\([1, -1, 0, -41757, -6661243]\)	\(-1159088625/2097152\)	\(-14569031967178752\)	\([]\)	\(45360\)	\(1.7916\)
7938.i3	7938m2	\([1, -1, 0, -2067, 38429]\)	\(-140625/8\)	\(-55576446408\)	\([]\)	\(6480\)	\(0.81867\)
7938.i4	7938m1	\([1, -1, 0, 138, 62]\)	\(3375/2\)	\(-171532242\)	\([]\)	\(2160\)	\(0.26937\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 7938.i have rank \(1\).

Complex multiplication

The elliptic curves in class 7938.i do not have complex multiplication.

Modular form 7938.2.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.

\(\left(\begin{array}{rrrr} 1 & 3 & 21 & 7 \\ 3 & 1 & 7 & 21 \\ 21 & 7 & 1 & 3 \\ 7 & 21 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.