# Questions tagged [elliptic-curves]

An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.

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### Second derivative at 1 of L function of elliptic curve

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### Counting elliptic curves over a number field by their Faltings height

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### $\mu=0$ for CM Elliptic curves?

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### Finding Coefficients of a Pairing Friendly Elliptic Curve

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### Geometric interpretation of the rationality of the $j$-invariant

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### Fermat's cubic equation in quadratic extension of $\mathbb{Q}$

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### A mysterious number related to Hasse-Weil L-function of elliptic curve

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### What integer value can be the conductor of a $g$-dimensional abelian variety over $\mathbb Q$?

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### Growth of Mordell-Weil Rank of Elliptic Curves over Field Extensions

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### How to decide the isogeny between Neron models is etale?

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### Find wrapping angle of helix on a torus

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### anomalous primes and CM elliptic curves

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### Deligne Pairing v.s. Weil Pairing on a Family of curves

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### What do non-principal divisors in a Picard group look like

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