Elliptic curve isogeny class with LMFDB label 9126.r (Cremona label 9126h)

• Label: 9126.r
• Number of curves: $3$
• Conductor: $9126$
• CM: no
• Rank: $1$

Elliptic curves in class 9126.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9126.r1	9126h2	\([1, -1, 0, -4848, -130402]\)	\(-132651/2\)	\(-190012163094\)	\([]\)	\(12960\)	\(0.96727\)
9126.r2	9126h3	\([1, -1, 0, -2313, 57357]\)	\(-1167051/512\)	\(-600532268544\)	\([]\)	\(12960\)	\(0.96727\)
9126.r3	9126h1	\([1, -1, 0, 222, -948]\)	\(9261/8\)	\(-1042590744\)	\([]\)	\(4320\)	\(0.41796\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 9126.r have rank \(1\).

Complex multiplication

The elliptic curves in class 9126.r do not have complex multiplication.

Modular form 9126.2.a.r

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.

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.