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How can I calculate the Eisenstein series of a complex lattice?

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#elliptic-curves #integer-lattices
137
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Why would a 2 degree polynomial with 2 variables on intersecting with a line give either 0, 1 or 2 points?

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#geometry #elliptic-curves
81
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Showing that the order of the zero of the $j$ function is $3$

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#complex-analysis #elliptic-curves #modular-forms
179
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$L$-function of elliptic curves expansion into Dirichlet series

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#elliptic-curves #dirichlet-series #l-functions
80
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coefficients of $Y^2Z+a_1XYZ+a_3YZ^2=X^3+a_2X^2Z+a_4XZ²+a_6Z³$ over $K$

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#abstract-algebra #elliptic-curves
143
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For two odd primes $p<q$, can we deduce positive integers $a,b$ solving $a^2+b^4=pq$ without trial & error (brute force)?

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#elementary-number-theory #prime-numbers #elliptic-curves #square-numbers #sums-of-squares
281
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Singular points on cubic curves

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#algebraic-geometry #solution-verification #elliptic-curves #cubics
158
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Silverman exercise 3.1

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#algebraic-number-theory #elliptic-curves #discriminant
184
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Elliptic curves and primes

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#prime-numbers #elliptic-curves #elliptic-equations
393
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Group law of elliptic curve under transformation

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#group-theory #elliptic-curves #arithmetic-geometry
361
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Determining the kernel of an isogeny

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#elliptic-curves
189
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elliptic curve $E:y^2＝x^3-x$ can be transformed to move the identity element to the origin

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#abstract-algebra #elliptic-curves #change-of-variable #arithmetic-geometry #formal-groups
190
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What's the torsion subgroup of $y^2 = x^3+2015^2x+2015^3$?

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#number-theory #elliptic-curves
136
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Showing that $E(\mathbb Q)_{\text{tors}} \cong \left\{\mathcal O\right\}$?

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#number-theory #elliptic-curves
54
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$v(n!)=\sum_{i=1}^\infty [\frac{n}{p^i}]v(p)$ AEC lemma IV. 6.2

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#number-theory #elliptic-curves #valuation-theory

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