Elliptic curve search results

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 (7 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
700.2-c4	\(\Q(\sqrt{-7}) \)	700.2	700.2-c	\( \bigl[1\) , \( -1\) , \( 1\) , \( -18\) , \( -19\bigr] \)
17500.2-b4	\(\Q(\sqrt{-7}) \)	17500.2	17500.2-b	\( \bigl[1\) , \( -1\) , \( 0\) , \( -442\) , \( -2784\bigr] \)
22400.2-j4	\(\Q(\sqrt{-7}) \)	22400.2	22400.2-j	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -88 a - 34\) , \( -319 a + 113\bigr] \)
22400.7-j4	\(\Q(\sqrt{-7}) \)	22400.7	22400.7-j	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 89 a - 124\) , \( 407 a - 330\bigr] \)
39200.2-a4	\(\Q(\sqrt{-7}) \)	39200.2	39200.2-a	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -371 a + 249\) , \( 1675 a - 3875\bigr] \)
39200.5-a4	\(\Q(\sqrt{-7}) \)	39200.5	39200.5-a	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 372 a - 124\) , \( -1304 a - 2324\bigr] \)
44800.5-n4	\(\Q(\sqrt{-7}) \)	44800.5	44800.5-n	\( \bigl[0\) , \( 0\) , \( 0\) , \( -283\) , \( 1482\bigr] \)