WeierstrassInvariants
WeierstrassInvariants[{ω1,ω3}]
gives the invariants {g2,g3} for Weierstrass elliptic functions corresponding to the half‐periods {ω1,ω3}.
Details

- Mathematical function, suitable for both symbolic and numerical manipulation.
- WeierstrassInvariants is the inverse of WeierstrassHalfPeriods.
- For certain special arguments, WeierstrassInvariants automatically evaluates to exact values.
- WeierstrassInvariants can be evaluated to arbitrary numerical precision.
- WeierstrassInvariants can be used with CenteredInterval objects. »
Examples
open allclose allBasic Examples (3)
Scope (4)
The precision of the output tracks the precision of the input:
Symbolic evaluation of the equianharmonic case of WeierstrassInvariants:
Symbolic evaluation of the lemniscatic case of WeierstrassInvariants:
WeierstrassInvariants can be used with CenteredInterval objects:
Properties & Relations (2)
Possible Issues (1)
Assignment of invariants corresponding to symbolic or exact half‐periods is impossible as the right‐hand side is not a list:

Use WeierstrassInvariantG2 and WeierstrassInvariantG3 instead:
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