Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 29241.1

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 (6 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
29241.1-CMe1	\(\Q(\sqrt{-3}) \)	29241.1	29241.1-CMe	\( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( 2357 a - 1283\bigr] \)
29241.1-CMd1	\(\Q(\sqrt{-3}) \)	29241.1	29241.1-CMd	\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 42 a + 80\bigr] \)
29241.1-CMd2	\(\Q(\sqrt{-3}) \)	29241.1	29241.1-CMd	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -49 a - 160\) , \( -480 a - 789\bigr] \)
29241.1-CMc1	\(\Q(\sqrt{-3}) \)	29241.1	29241.1-CMc	\( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( -6 a + 6\bigr] \)
29241.1-CMb1	\(\Q(\sqrt{-3}) \)	29241.1	29241.1-CMb	\( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 57 a - 104\bigr] \)
29241.1-CMa1	\(\Q(\sqrt{-3}) \)	29241.1	29241.1-CMa	\( \bigl[0\) , \( 0\) , \( a\) , \( 0\) , \( 5 a - 1\bigr] \)