Elliptic curve isogeny class with LMFDB label 37180.a (Cremona label 37180d)

• Label: 37180.a
• Number of curves: 4
• Conductor: 37180
• CM: no
• Rank: 1

Elliptic curves in class 37180.a

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
37180.a1	37180d4	[0, 1, 0, -1199956, -506336700]	[2]	466560
37180.a2	37180d3	[0, 1, 0, -75261, -7871876]	[2]	233280
37180.a3	37180d2	[0, 1, 0, -16956, -485900]	[2]	155520
37180.a4	37180d1	[0, 1, 0, -7661, 250264]	[2]	77760	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 37180.a have rank \(1\).

Modular form 37180.2.a.a

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.