Elliptic curve isogeny class with Cremona label 157794co (LMFDB label 157794.s)

• Label: 157794co
• Number of curves: $4$
• Conductor: $157794$
• CM: no
• Rank: $1$

Elliptic curves in class 157794co

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
157794.s3	157794co1	\([1, 1, 0, -16334, -788172]\)	\(19968681097/628992\)	\(15182337800448\)	\([2]\)	\(491520\)	\(1.3041\)	\(\Gamma_0(N)\)-optimal
157794.s2	157794co2	\([1, 1, 0, -39454, 1907620]\)	\(281397674377/96589584\)	\(2331437748481296\)	\([2, 2]\)	\(983040\)	\(1.6507\)
157794.s1	157794co3	\([1, 1, 0, -565434, 163383480]\)	\(828279937799497/193444524\)	\(4669280545722156\)	\([2]\)	\(1966080\)	\(1.9972\)
157794.s4	157794co4	\([1, 1, 0, 116606, 13424848]\)	\(7264187703863/7406095788\)	\(-178765148103459372\)	\([2]\)	\(1966080\)	\(1.9972\)

Rank

The elliptic curves in class 157794co have rank \(1\).

Complex multiplication

The elliptic curves in class 157794co do not have complex multiplication.

Modular form 157794.2.a.co

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.