Is there any evidence that Jesus had no children? There is no evidence that Jesus had children. But is there anything in the Bible indicating that he certainly did not?

The reason for asking about the evidence of the negative: If someone says "Jesus might have children, I might have his blood in my veins" I may answer "I don't believe that Jesus had children because..." - is there anything in Bible supporting this attitude?
I think the clearest is prophecy in Isaiah 53:7-9:

He was oppressed and afflicted, yet he did not open his mouth; he was led like a lamb to the slaughter, and as a sheep before her shearers is silent, so he did not open his mouth.
By oppression and judgment he was taken away. And who can speak of his descendants? For he was cut off from the land of the living; for the transgression of my people he was stricken.
He was assigned a grave with the wicked, and with the rich in his death, though he had done no violence, nor was any deceit in his mouth.