A134073 Complete list of solutions to y^2 = x^3 + 73; sequence gives y values.

3, 9, 10, 17, 611, 6717

Offset: 1

Author

Klaus Brockhaus, Oct 07 2007

Keywords

• nonn
• fini
• full

Comments

For corresponding x values see A134074.

Examples

			a(1)^2 = 3^2 = 9 = A134074(1)^3 + 73 = -64 + 73.
a(2)^2 = 9^2 = 81 = A134074(2)^3 + 73 = 8 + 73.
a(3)^2 = 10^2 = 100 = A134074(3)^3 + 73 = 27 + 73.
a(4)^2 = 17^2 = 289 = A134074(4)^3 + 73 = 216+ 73.
a(5)^2 = 611^2 = 373321 = A134074(5)^3 + 73 = 373248+ 73.
a(6)^2 = 6717^2 = 45118089 = A134074(6)^3 + 73 = 45118016+ 73.
		

Crossrefs

Cf. A134074, A029727, A134043.

Programs

Magma

Sort([ Abs(p[2]) : p in IntegralPoints(EllipticCurve([0, 73])) ]); /* adapted from A029727 */