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  *The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.


Results (6 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
2.2-a7 3.3.316.1 2.2 2.2-a \( \bigl[1\) , \( -a^{2} + a + 3\) , \( 1\) , \( 3795999062 a^{2} - 2009285242 a - 16129733497\) , \( 186167522763990 a^{2} - 98541556480493 a - 791051967859626\bigr] \)
16.5-b4 3.3.316.1 16.5 16.5-b \( \bigl[a^{2} - 3\) , \( -a^{2} + a + 2\) , \( 0\) , \( 297980666 a^{2} - 157726108 a - 1266161726\) , \( -4093950113647 a^{2} + 2166995673374 a + 17395769388977\bigr] \)
32.1-c5 3.3.316.1 32.1 32.1-c \( \bigl[a\) , \( a^{2} + a - 2\) , \( a^{2} - 2\) , \( 486273921 a^{2} - 257393114 a - 2066246710\) , \( -8535646743838 a^{2} + 4518059339552 a + 36269162590988\bigr] \)
64.7-a6 3.3.316.1 64.7 64.7-a \( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a + 1\) , \( 7908272 a^{2} - 4185996 a - 33603389\) , \( 17708327376 a^{2} - 9373311330 a - 75245171795\bigr] \)
64.7-d1 3.3.316.1 64.7 64.7-d \( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( 7908273 a^{2} - 4185996 a - 33603392\) , \( -17708327376 a^{2} + 9373311329 a + 75245171793\bigr] \)
242.3-b2 3.3.316.1 242.3 242.3-b \( \bigl[a^{2} + a - 3\) , \( -a + 1\) , \( a\) , \( 163201859571 a^{2} - 86385450180 a - 693467637401\) , \( 52479892685555807 a^{2} - 27778477321846893 a - 222994439446883602\bigr] \)
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