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

• Label: 303450.k
• Number of curves: $4$
• Conductor: $303450$
• CM: no
• Rank: $1$

Elliptic curves in class 303450.k

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
303450.k1	303450k3	[1, 1, 0, -36695925, 85545487125]	[2]	28311552
303450.k2	303450k4	[1, 1, 0, -4905925, -2212830875]	[2]	28311552
303450.k3	303450k2	[1, 1, 0, -2304925, 1321928125]	[2, 2]	14155776
303450.k4	303450k1	[1, 1, 0, 7075, 61888125]	[2]	7077888	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 303450.k have rank \(1\).

Complex multiplication

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

Modular form 303450.2.a.k

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.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.