Murmuration patterns persist across sample sizes from 1,000 to 1,000,000 curves
The murmuration patterns don't depend on sample size. Whether you analyze 1,000 or 1,000,000 curves, the same oscillating wave structure appears.
Scale invariance suggests the patterns are fundamental to elliptic curves, not statistical artifacts. Larger samples simply make the waves clearer.
With more curves, random fluctuations average out, revealing the underlying mathematical structure more precisely.