Elliptic curve isogeny class with LMFDB label 53958.s (Cremona label 53958v)

• Label: 53958.s
• Number of curves: $4$
• Conductor: $53958$
• CM: no
• Rank: $0$

Elliptic curves in class 53958.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53958.s1	53958v3	\([1, 0, 1, -397026, 72764596]\)	\(46753267515625/11591221248\)	\(1715916742043369472\)	\([2]\)	\(855360\)	\(2.2092\)
53958.s2	53958v1	\([1, 0, 1, -135171, -19132226]\)	\(1845026709625/793152\)	\(117414961432128\)	\([2]\)	\(285120\)	\(1.6599\)	\(\Gamma_0(N)\)-optimal
53958.s3	53958v2	\([1, 0, 1, -114011, -25319410]\)	\(-1107111813625/1228691592\)	\(-181890452128545288\)	\([2]\)	\(570240\)	\(2.0064\)
53958.s4	53958v4	\([1, 0, 1, 957214, 461702324]\)	\(655215969476375/1001033261568\)	\(-148188848794788413952\)	\([2]\)	\(1710720\)	\(2.5557\)

Rank

The elliptic curves in class 53958.s have rank \(0\).

Complex multiplication

The elliptic curves in class 53958.s do not have complex multiplication.

Modular form 53958.2.a.s

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.

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.