Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 110889.3

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 (8 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
110889.3-CMe1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-CMe	\( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( 1934 a - 2203\bigr] \)
110889.3-CMd1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-CMd	\( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 387 a - 260\bigr] \)
110889.3-CMc1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 63 a - 18\bigr] \)
110889.3-CMc2	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( -990 a - 210\) , \( 15939 a - 4491\bigr] \)
110889.3-CMb1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-CMb	\( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( 8 a + 2\bigr] \)
110889.3-CMa1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-CMa	\( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 1\bigr] \)
110889.3-a1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-a	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -447 a + 465\) , \( -2796 a + 4142\bigr] \)
110889.3-b1	\(\Q(\sqrt{-3}) \)	110889.3	110889.3-b	\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 10 a - 13\) , \( -13 a\bigr] \)