Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 28899.2

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

  *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
28899.2-a1	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-a	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 7 a + 49\) , \( -417 a + 387\bigr] \)
28899.2-a2	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-a	\( \bigl[1\) , \( -1\) , \( a\) , \( 322 a - 351\) , \( 2660 a - 1547\bigr] \)
28899.2-b1	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-b	\( \bigl[1\) , \( -1\) , \( 1\) , \( -3 a - 2\) , \( -9 a + 3\bigr] \)
28899.2-b2	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-b	\( \bigl[1\) , \( -1\) , \( 0\) , \( -12 a + 30\) , \( 51 a - 2\bigr] \)
28899.2-c1	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-c	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -118 a - 7\) , \( 564 a - 231\bigr] \)
28899.2-c2	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-c	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -243 a + 333\) , \( 1743 a + 1720\bigr] \)
28899.2-c3	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-c	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 102 a + 3\) , \( -54 a + 463\bigr] \)
28899.2-c4	\(\Q(\sqrt{-3}) \)	28899.2	28899.2-c	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -8 a - 2\) , \( 3 a - 3\bigr] \)