Elliptic curve isogeny class with LMFDB label 7098.j (Cremona label 7098k)

• Label: 7098.j
• Number of curves: $4$
• Conductor: $7098$
• CM: no
• Rank: $0$

Elliptic curves in class 7098.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7098.j1	7098k3	\([1, 0, 1, -70477, 7195346]\)	\(8020417344913/187278\)	\(903955135902\)	\([2]\)	\(32256\)	\(1.4064\)
7098.j2	7098k2	\([1, 0, 1, -4567, 103430]\)	\(2181825073/298116\)	\(1438948991844\)	\([2, 2]\)	\(16128\)	\(1.0599\)
7098.j3	7098k1	\([1, 0, 1, -1187, -14194]\)	\(38272753/4368\)	\(21083501712\)	\([2]\)	\(8064\)	\(0.71330\)	\(\Gamma_0(N)\)-optimal
7098.j4	7098k4	\([1, 0, 1, 7263, 552970]\)	\(8780064047/32388174\)	\(-156331529756766\)	\([2]\)	\(32256\)	\(1.4064\)

Rank

The elliptic curves in class 7098.j have rank \(0\).

Complex multiplication

The elliptic curves in class 7098.j do not have complex multiplication.

Modular form 7098.2.a.j

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.