Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 171.2

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	Bad primes

  *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 (4 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
171.2-a1	\(\Q(\sqrt{-3}) \)	171.2	171.2-a	\( \bigl[1\) , \( -1\) , \( a\) , \( 4 a - 9\) , \( -10 a + 13\bigr] \)
171.2-a2	\(\Q(\sqrt{-3}) \)	171.2	171.2-a	\( \bigl[1\) , \( -1\) , \( a\) , \( 19 a + 6\) , \( -19 a + 67\bigr] \)
171.2-a3	\(\Q(\sqrt{-3}) \)	171.2	171.2-a	\( \bigl[1\) , \( -1\) , \( a\) , \( -a + 1\) , \( 0\bigr] \)
171.2-a4	\(\Q(\sqrt{-3}) \)	171.2	171.2-a	\( \bigl[1\) , \( -1\) , \( a\) , \( -6 a + 11\) , \( 10 a + 1\bigr] \)