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  "body": "\n## Summary\n\nAn elliptic function is a meromorphic function on the complex plane with two periods that are linearly independent over the real numbers.\nIt is the same as a meromorphic function on a complex torus $\\C / \\Lambda$.\nElliptic functions arose from the inversion of elliptic integrals, and they are the analytic side of the theory of elliptic curves.\n\n## Explanations\n\n### L1 human\n\nThe sine function repeats when you move by $2\\pi$ along the real axis.\nAn elliptic function repeats along two different directions, so its values are determined by one parallelogram.\nGluing the opposite sides of this parallelogram gives a torus, the surface of a doughnut, and the function lives on that torus.\nA nonconstant elliptic function must have poles: without poles it would be bounded, since it is bounded on one parallelogram, and a bounded entire function is constant.\nThe [[Weierstrass elliptic function|361NAK68QK]] is the basic example, with a double pole at each lattice point.\n",
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