{Subscript[e, 1], Subscript[e, 2], Subscript[e, 3]} == WeierstrassPHalfPeriodValues[{Subscript[g, 2], Subscript[g, 3]}] /; {Subscript[e, 1], Subscript[e, 2], Subscript[e, 3]} == {WeierstrassP[Subscript[\[Omega], 1], {Subscript[g, 2], Subscript[g, 3]}], WeierstrassP[Subscript[\[Omega], 2], {Subscript[g, 2], Subscript[g, 3]}], WeierstrassP[Subscript[\[Omega], 3], {Subscript[g, 2], Subscript[g, 3]}]} && {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[ {Subscript[g, 2], Subscript[g, 3]}] && Subscript[\[Omega], 2] == -Subscript[\[Omega], 1] - Subscript[\[Omega], 3]

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2001-10-29