Elliptic curve isogeny class with LMFDB label 303450.eo (Cremona label 303450eo)

• Label: 303450.eo
• Number of curves: $4$
• Conductor: $303450$
• CM: no
• Rank: $0$

Elliptic curves in class 303450.eo

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
303450.eo1	303450eo3	[1, 1, 1, -2698688, 1705259531]	[2]	7077888
303450.eo2	303450eo2	[1, 1, 1, -169938, 26169531]	[2, 2]	3538944
303450.eo3	303450eo1	[1, 1, 1, -25438, -996469]	[2]	1769472	\(\Gamma_0(N)\)-optimal
303450.eo4	303450eo4	[1, 1, 1, 46812, 88593531]	[2]	7077888

Rank

The elliptic curves in class 303450.eo have rank \(0\).

Complex multiplication

The elliptic curves in class 303450.eo do not have complex multiplication.

Modular form 303450.2.a.eo

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.