Elliptic curve isogeny class with LMFDB label 9282.c (Cremona label 9282d)

• Label: 9282.c
• Number of curves: $4$
• Conductor: $9282$
• CM: no
• Rank: $1$

Elliptic curves in class 9282.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9282.c1	9282d3	\([1, 1, 0, -1593566, -774953556]\)	\(447542520502832545966057/58109366952\)	\(58109366952\)	\([2]\)	\(110592\)	\(1.9241\)
9282.c2	9282d2	\([1, 1, 0, -99606, -12137580]\)	\(109291660572926209897/39371006735424\)	\(39371006735424\)	\([2, 2]\)	\(55296\)	\(1.5775\)
9282.c3	9282d4	\([1, 1, 0, -85326, -15721860]\)	\(-68703019601012586217/66539331109805736\)	\(-66539331109805736\)	\([2]\)	\(110592\)	\(1.9241\)
9282.c4	9282d1	\([1, 1, 0, -7126, -133676]\)	\(40027308583943017/15783560712192\)	\(15783560712192\)	\([2]\)	\(27648\)	\(1.2310\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 9282.c have rank \(1\).

Complex multiplication

The elliptic curves in class 9282.c do not have complex multiplication.

Modular form 9282.2.a.c

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.