WeierstrassInvariantG3

WeierstrassInvariantG3[{ω,ω]

gives the invariant for the Weierstrass elliptic functions corresponding to the halfperiods {ω,ω}.

Details

Examples

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Basic Examples  (2)

Evaluate numerically:

Plot the invariant:

Scope  (3)

Evaluate to high precision:

The precision of the output tracks the precision of the input:

TraditionalForm formatting:

Applications  (1)

Define the discriminant of the Weierstrass elliptic curve:

KleinInvariantJ can be computed as the ratio of a power of invariant and the discriminant:

Compare with the builtin function value:

Introduced in 2017
 (11.2)