Elliptic curve isogeny class with Cremona label 372810m (LMFDB label 372810.m)

• Label: 372810m
• Number of curves: $4$
• Conductor: $372810$
• CM: no
• Rank: $0$

Elliptic curves in class 372810m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
372810.m3	372810m1	\([1, 1, 0, -203091432, -993175724736]\)	\(38380001967437967511849/4559686430883840000\)	\(110059745843822418984960000\)	\([2]\)	\(209534976\)	\(3.7280\)	\(\Gamma_0(N)\)-optimal
372810.m2	372810m2	\([1, 1, 0, -794963432, 7584114924864]\)	\(2301821487798660329623849/302545091078881689600\)	\(7302703011527791225556582400\)	\([2, 2]\)	\(419069952\)	\(4.0746\)
372810.m1	372810m3	\([1, 1, 0, -12287453032, 524238178884544]\)	\(8499938750510357313823025449/181945535896192222080\)	\(4391722926936316597719323520\)	\([2]\)	\(838139904\)	\(4.4212\)
372810.m4	372810m4	\([1, 1, 0, 1227574168, 39888489979584]\)	\(8475657646534537396225751/33380585528582721962880\)	\(-805726186456566923586831438720\)	\([2]\)	\(838139904\)	\(4.4212\)

Rank

The elliptic curves in class 372810m have rank \(0\).

Complex multiplication

The elliptic curves in class 372810m do not have complex multiplication.

Modular form 372810.2.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 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.