Elliptic curve isogeny class with Cremona label 24882s (LMFDB label 24882.n)

• Label: 24882s
• Number of curves: $4$
• Conductor: $24882$
• CM: no
• Rank: $0$

Elliptic curves in class 24882s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
24882.n4	24882s1	\([1, 0, 1, -1024431, 395076514]\)	\(118897093683423637179625/1348129566046568448\)	\(1348129566046568448\)	\([6]\)	\(580608\)	\(2.2922\)	\(\Gamma_0(N)\)-optimal
24882.n3	24882s2	\([1, 0, 1, -1876271, -357609310]\)	\(730482939902774346171625/367535413465391014272\)	\(367535413465391014272\)	\([6]\)	\(1161216\)	\(2.6388\)
24882.n2	24882s3	\([1, 0, 1, -7749006, -8088845504]\)	\(51459033262122560686209625/1518535830178828910592\)	\(1518535830178828910592\)	\([2]\)	\(1741824\)	\(2.8415\)
24882.n1	24882s4	\([1, 0, 1, -123092366, -525657570496]\)	\(206260974611041626418612353625/187837502409374957568\)	\(187837502409374957568\)	\([2]\)	\(3483648\)	\(3.1881\)

Rank

The elliptic curves in class 24882s have rank \(0\).

Complex multiplication

The elliptic curves in class 24882s do not have complex multiplication.

Modular form 24882.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.