The distribution of the Tamagawa ratio in the family of elliptic curves with a two-torsion point.

Lemke Oliver, Robert J.

Klagsbrun, Zev.

2014.

Description
  • In recent work, Bhargava and Shankar have shown that the average size of the 2-Selmer group of an elliptic curve over is exactly 3, and Bhargava and Ho have shown that the average size of the 2-Selmer group in the family of elliptic curves with a marked point is exactly 6. In contrast to these results, we show that the average size of the 2-Selmer group in the family of elliptic curves with a two-... read more
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  • Klagsbrun, Zev, and Robert J Lemke Oliver. "The Distribution of the Tamagawa Ratio in the Family of Elliptic Curves with a Two-Torsion Point." Research in the Mathematical Sciences 1, no. 1 (December 2014). doi:10.1186/s40687-014-0015-4.
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41687w065
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