WeierstrassInvariants[{Subscript[\[Omega], 1], Subscript[\[Omega], 3]}] == {2 (Subscript[e, 1]^2 + Subscript[e, 2]^2 + Subscript[e, 3]^2), 4 Subscript[e, 1] Subscript[e, 2] Subscript[e, 3]} /; {Subscript[\[Omega], 1], Subscript[\[Omega], 3]} == WeierstrassHalfPeriods[{Subscript[g, 2], Subscript[g, 3]}] && Subscript[\[Omega], 2] == -Subscript[\[Omega], 1] - Subscript[\[Omega], 3] && Subscript[e, n] == WeierstrassP[Subscript[\[Omega], n], {Subscript[g, 2], Subscript[g, 3]}] && Element[n, {1, 2, 3}]

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2001-10-29