Interactive Exploration of Elliptic Curves

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@interact

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def _(k1=[3,4,5],k2=[2..8]):

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    v=EllipticCurve('%s%sa'%(k1,k2)).lseries(); n=120

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    i=sqrt(-1)

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    v=v.values_along_line(1-10*i,1+10*i,n)

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    v=[(v[i][1].real(),v[i][1].imag()) for i in range(n)]

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    col=[[random() for i in range(3)] for j in range(n)]

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    l=sum([line([v[i],v[i+1]],color='silver',

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                marker=r'$\Re \Im$',markersize=16,

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                markerfacecolor='w',markeredgecolor=col[i])

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           for i in range(n-1)])

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    l.show(figsize=(6,5))

Language: Sage Gap GP HTML Macaulay2 Maxima Octave Python R Singular

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