WeierstrassInvariants

WeierstrassInvariants[{ω1,ω3}]

gives the invariants {g2,g3} for Weierstrass elliptic functions corresponding to the halfperiods {ω1,ω3}.

Details

Examples

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Basic Examples  (2)

Evaluate numerically:

Evaluate individual invariants:

Visualize invariants:

Scope  (2)

Evaluate to high precision:

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

Applications  (1)

Plot an elliptic function over a period parallelogram:

Properties & Relations  (1)

WeierstrassHalfInvariants is effectively the inverse of WeierstrassHalfPeriods:

Possible Issues  (1)

Assignment of invariants corresponding to symbolic or exact halfperiods is impossible as the righthand side is not a list:

Use WeierstrassInvariantG2 and WeierstrassInvariantG3 instead:

Introduced in 1996
 (3.0)