Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 77841.3

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 (5 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
77841.3-CMc1	\(\Q(\sqrt{-3}) \)	77841.3	77841.3-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -231 a + 14\bigr] \)
77841.3-CMc2	\(\Q(\sqrt{-3}) \)	77841.3	77841.3-CMc	\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 351 a - 240\) , \( 2011 a + 63\bigr] \)
77841.3-CMb1	\(\Q(\sqrt{-3}) \)	77841.3	77841.3-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 3 a + 5\bigr] \)
77841.3-CMa1	\(\Q(\sqrt{-3}) \)	77841.3	77841.3-CMa	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 276 a - 114\bigr] \)
77841.3-a1	\(\Q(\sqrt{-3}) \)	77841.3	77841.3-a	\( \bigl[0\) , \( 0\) , \( 1\) , \( -243 a + 249\) , \( -108 a - 1251\bigr] \)