Elliptic curve isogeny class with LMFDB label 798.e (Cremona label 798b)

• Label: 798.e
• Number of curves: $4$
• Conductor: $798$
• CM: no
• Rank: $0$

Elliptic curves in class 798.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
798.e1	798b3	\([1, 0, 1, -6280, 191006]\)	\(27384399945278713/153257496\)	\(153257496\)	\([2]\)	\(768\)	\(0.76287\)
798.e2	798b2	\([1, 0, 1, -400, 2846]\)	\(7052482298233/499254336\)	\(499254336\)	\([2, 2]\)	\(384\)	\(0.41630\)
798.e3	798b1	\([1, 0, 1, -80, -226]\)	\(55611739513/11440128\)	\(11440128\)	\([2]\)	\(192\)	\(0.069728\)	\(\Gamma_0(N)\)-optimal
798.e4	798b4	\([1, 0, 1, 360, 12574]\)	\(5180411077127/70976229912\)	\(-70976229912\)	\([2]\)	\(768\)	\(0.76287\)

Rank

The elliptic curves in class 798.e have rank \(0\).

Complex multiplication

The elliptic curves in class 798.e do not have complex multiplication.

Modular form 798.2.a.e

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.