Elliptic curve isogeny class with LMFDB label 93058.m (Cremona label 93058n)

• Label: 93058.m
• Number of curves: $4$
• Conductor: $93058$
• CM: no
• Rank: $0$

Elliptic curves in class 93058.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
93058.m1	93058n4	\([1, -1, 1, -3719629, -2744505619]\)	\(235791936629176257/1553428733192\)	\(37495993234004490248\)	\([2]\)	\(2654208\)	\(2.5914\)
93058.m2	93058n2	\([1, -1, 1, -378789, 17700893]\)	\(249012520882497/138556661824\)	\(3344420985186465856\)	\([2, 2]\)	\(1327104\)	\(2.2448\)
93058.m3	93058n1	\([1, -1, 1, -286309, 58946973]\)	\(107531019181377/190582784\)	\(4600205099012096\)	\([2]\)	\(663552\)	\(1.8983\)	\(\Gamma_0(N)\)-optimal
93058.m4	93058n3	\([1, -1, 1, 1482371, 139048525]\)	\(14924548067431743/8984775584008\)	\(-216870640608508396552\)	\([2]\)	\(2654208\)	\(2.5914\)

Rank

The elliptic curves in class 93058.m have rank \(0\).

Complex multiplication

The elliptic curves in class 93058.m do not have complex multiplication.

Modular form 93058.2.a.m

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.