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5 hours ago history became hot network question
8 hours ago vote accept Xavier49
10 hours ago answer added Will Sawin timeline score: 5
11 hours ago comment added dhy You can rephrase this as looking for the automorphisms of $E$ which preserve the degree $3$ line bundle coming from the embedding of $D$ into $\mathbb{P}^2.$ If $E$ is generic then its automorphism group is generated by translations and multiplication by $-1$ and you can explicitly check that the subgroup preserving $L$ is generated by $3$-torsion points and multiplication by $-1$.
11 hours ago history edited Xavier49 CC BY-SA 4.0
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12 hours ago history edited Xavier49 CC BY-SA 4.0
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13 hours ago history asked Xavier49 CC BY-SA 4.0