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EllipticExp

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Inverse of EllipticLog on the curve y^2 = x^3 + a x^2 + b x (numerical)

EllipticExp[u, {a, b}]
EllipticExp[-0.4, {4, 1}] → {5.043827135411487, 15.333640384130684}Plot[{EllipticExp[x, {4, 1}]//First, EllipticExp[x, {4, 1}]//Last}, {x, 0, 4 2.83147}] → -Graphics-EllipticExp[0, {1, 2}] → {ComplexInfinity, ComplexInfinity}

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