Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 106875.2

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 (10 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
106875.2-a1	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-a	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 269 a - 133\) , \( 1143 a + 366\bigr] \)
106875.2-a2	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-a	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 144 a - 633\) , \( -1857 a + 8491\bigr] \)
106875.2-a3	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-a	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -231 a + 117\) , \( -1107 a + 1366\bigr] \)
106875.2-a4	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-a	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 19 a - 8\) , \( 18 a - 9\bigr] \)
106875.2-b1	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-b	\( \bigl[a\) , \( a\) , \( a + 1\) , \( -106 a - 25\) , \( -222 a + 33\bigr] \)
106875.2-b2	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-b	\( \bigl[a\) , \( a\) , \( a + 1\) , \( -1306 a - 400\) , \( -26022 a + 5508\bigr] \)
106875.2-c1	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-c	\( \bigl[1\) , \( a\) , \( a + 1\) , \( -625 a + 3257\) , \( -21137 a - 1137\bigr] \)
106875.2-c2	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-c	\( \bigl[1\) , \( a\) , \( a + 1\) , \( -10000 a + 42632\) , \( -3167387 a + 623238\bigr] \)
106875.2-d1	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-d	\( \bigl[1\) , \( a\) , \( a + 1\) , \( -75 a + 132\) , \( 238 a + 263\bigr] \)
106875.2-d2	\(\Q(\sqrt{-3}) \)	106875.2	106875.2-d	\( \bigl[1\) , \( a\) , \( a + 1\) , \( -1200 a + 2007\) , \( 18988 a + 14138\bigr] \)