Elliptic curves over 3.3.316.1 of conductor 16.1

Base field	Conductor norm	Rank*	Torsion order	CM discriminant
Base field degree	Base change curves	\(\Q\)-curves	Torsion structure	CM
Analytic order* of Ш	Cyclic isogeny degree	Isogeny class size	Semistable	j-invariant
Regulator*	Curves per isogeny class	Isogeny class degree	Potential good reduction

  *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)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
16.1-a1	3.3.316.1	16.1	16.1-a	\( \bigl[a^{2} - 2\) , \( a^{2} - a - 3\) , \( a^{2} - 2\) , \( -3 a^{2} + 2 a + 9\) , \( -2 a^{2} + 3 a + 2\bigr] \)
16.1-a2	3.3.316.1	16.1	16.1-a	\( \bigl[a\) , \( a^{2} + a - 4\) , \( 0\) , \( 89717 a^{2} - 47509 a - 381256\) , \( -21491631 a^{2} + 11375920 a + 91321039\bigr] \)
16.1-a3	3.3.316.1	16.1	16.1-a	\( \bigl[a\) , \( a^{2} + a - 4\) , \( 0\) , \( 5607 a^{2} - 2969 a - 23826\) , \( -340349 a^{2} + 180146 a + 1446179\bigr] \)
16.1-a4	3.3.316.1	16.1	16.1-a	\( \bigl[a\) , \( a^{2} - 2\) , \( a^{2} - 2\) , \( 49623936 a^{2} - 26266736 a - 210859010\) , \( -374288977427 a^{2} + 198117361452 a + 1590406466852\bigr] \)
16.1-a5	3.3.316.1	16.1	16.1-a	\( \bigl[a\) , \( -a\) , \( a^{2} - 2\) , \( -a^{2} - a + 1\) , \( -a^{2} + a - 1\bigr] \)
16.1-a6	3.3.316.1	16.1	16.1-a	\( \bigl[a\) , \( -a\) , \( a^{2} - 2\) , \( -6 a^{2} - 11 a + 6\) , \( -16 a^{2} - 18 a + 11\bigr] \)