Elliptic curves over \(\Q(\sqrt{-1}) \) of conductor 12482.1

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 (9 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
12482.1-a1	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-a	\( \bigl[i\) , \( -1\) , \( 0\) , \( -3\) , \( -1\bigr] \)
12482.1-b1	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-b	\( \bigl[i\) , \( 0\) , \( i\) , \( -81\) , \( 92\bigr] \)
12482.1-b2	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-b	\( \bigl[i\) , \( 0\) , \( i\) , \( -46\) , \( -118\bigr] \)
12482.1-b3	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-b	\( \bigl[i\) , \( 0\) , \( i\) , \( -5216\) , \( 145452\bigr] \)
12482.1-c1	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-c	\( \bigl[i\) , \( 1\) , \( i\) , \( -8\) , \( -9\bigr] \)
12482.1-d1	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-d	\( \bigl[i\) , \( -1\) , \( i\) , \( 2\) , \( -1\bigr] \)
12482.1-d2	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-d	\( \bigl[i\) , \( -1\) , \( i\) , \( -8\) , \( -5\bigr] \)
12482.1-e1	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-e	\( \bigl[i\) , \( -1\) , \( i\) , \( -419\) , \( -3109\bigr] \)
12482.1-e2	\(\Q(\sqrt{-1}) \)	12482.1	12482.1-e	\( \bigl[1\) , \( 1\) , \( 1\) , \( -23380\) , \( -1385691\bigr] \)