Elliptic curve isogeny class with Cremona label 99846i (LMFDB label 99846.i)

• Label: 99846i
• Number of curves: $3$
• Conductor: $99846$
• CM: no
• Rank: $1$

Elliptic curves in class 99846i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
99846.i3	99846i1	\([1, -1, 0, 2427, 31693]\)	\(9261/8\)	\(-1365414418584\)	\([]\)	\(154224\)	\(1.0161\)	\(\Gamma_0(N)\)-optimal
99846.i2	99846i2	\([1, -1, 0, -25308, -2048432]\)	\(-1167051/512\)	\(-786478705104384\)	\([]\)	\(462672\)	\(1.5654\)
99846.i1	99846i3	\([1, -1, 0, -53043, 4776227]\)	\(-132651/2\)	\(-248846777786934\)	\([]\)	\(462672\)	\(1.5654\)

Rank

The elliptic curves in class 99846i have rank \(1\).

Complex multiplication

The elliptic curves in class 99846i do not have complex multiplication.

Modular form 99846.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.