Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 50625.1

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 (11 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
50625.1-CMc1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 781\bigr] \)
50625.1-CMb1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 31\bigr] \)
50625.1-CMb2	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( -750\) , \( 7906\bigr] \)
50625.1-CMa1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-CMa	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 6\bigr] \)
50625.1-a1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-a	\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 117 a\) , \( 166\bigr] \)
50625.1-b1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-b	\( \bigl[1\) , \( -1\) , \( 1\) , \( -5\) , \( 2\bigr] \)
50625.1-e1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-e	\( \bigl[0\) , \( 0\) , \( 1\) , \( -75 a + 75\) , \( 531\bigr] \)
50625.1-f1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-f	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 52 a - 65\) , \( 183 a - 129\bigr] \)
50625.1-f2	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-f	\( \bigl[a + 1\) , \( 0\) , \( a\) , \( -13 a + 65\) , \( -184 a + 55\bigr] \)
50625.1-g1	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-g	\( \bigl[a + 1\) , \( 0\) , \( a\) , \( -1618 a + 305\) , \( 24281 a - 17740\bigr] \)
50625.1-g2	\(\Q(\sqrt{-3}) \)	50625.1	50625.1-g	\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 1616 a - 1312\) , \( -24282 a + 6541\bigr] \)