Elliptic curve isogeny class with LMFDB label 316050.il (Cremona label 316050il)

• Label: 316050.il
• Number of curves: $4$
• Conductor: $316050$
• CM: no
• Rank: $1$

Elliptic curves in class 316050.il

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
316050.il1	316050il4	[1, 0, 0, -1027188, -398056758]	[2]	5308416
316050.il2	316050il2	[1, 0, 0, -108438, 3436992]	[2, 2]	2654208
316050.il3	316050il1	[1, 0, 0, -83938, 9341492]	[2]	1327104	\(\Gamma_0(N)\)-optimal
316050.il4	316050il3	[1, 0, 0, 418312, 27140742]	[2]	5308416

Rank

The elliptic curves in class 316050.il have rank \(1\).

Complex multiplication

The elliptic curves in class 316050.il do not have complex multiplication.

Modular form 316050.2.a.il

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.