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.
Examples
open allclose allScope (2)
Properties & Relations (1)
WeierstrassHalfInvariants is effectively the inverse of WeierstrassHalfPeriods:
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:
Text
Wolfram Research (1996), WeierstrassInvariants, Wolfram Language function, https://reference.wolfram.com/language/ref/WeierstrassInvariants.html.
CMS
Wolfram Language. 1996. "WeierstrassInvariants." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/WeierstrassInvariants.html.
APA
Wolfram Language. (1996). WeierstrassInvariants. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/WeierstrassInvariants.html