Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 77841.1

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 (5 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
77841.1-CMc1	\(\Q(\sqrt{-3}) \)	77841.1	77841.1-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 231 a - 217\bigr] \)
77841.1-CMc2	\(\Q(\sqrt{-3}) \)	77841.1	77841.1-CMc	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -349 a + 110\) , \( -2361 a + 2184\bigr] \)
77841.1-CMb1	\(\Q(\sqrt{-3}) \)	77841.1	77841.1-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -3 a + 8\bigr] \)
77841.1-CMa1	\(\Q(\sqrt{-3}) \)	77841.1	77841.1-CMa	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -276 a + 162\bigr] \)
77841.1-a1	\(\Q(\sqrt{-3}) \)	77841.1	77841.1-a	\( \bigl[0\) , \( 0\) , \( 1\) , \( 6 a - 249\) , \( 108 a - 1359\bigr] \)