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-   -   Elliptic-curve L-function question (https://www.mersenneforum.org/showthread.php?t=13762)

fivemack 2010-08-22 14:52

Elliptic-curve L-function question
 
I have a mug, on which is written

'If E is X0(11): y^2+y = x^3-x^2-10x-20, then the [TEX]L_E[/TEX] is [TEX]q \prod_{n=1}^\infty (1-q^n)^2 (1-q^{11n})^2[/TEX]', with a few hundred terms expanded. And, indeed, the product agrees with the coefficients of

ellan(ellinit([0,-1,1,-10,-20]),100)

Are there any other elliptic curves whose L-functions are such nice infinite products?


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