Elliptic curves over \(\Q(\sqrt{-2}) \) of conductor 43218.2

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 (20 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
43218.2-a1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-a	\( \bigl[1\) , \( 1\) , \( 0\) , \( 122\) , \( -10940\bigr] \)
43218.2-a2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-a	\( \bigl[1\) , \( 1\) , \( 0\) , \( -6738\) , \( -209880\bigr] \)
43218.2-b1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-b	\( \bigl[1\) , \( 1\) , \( 0\) , \( -34864\) , \( 2503936\bigr] \)
43218.2-b2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-b	\( \bigl[1\) , \( 1\) , \( 0\) , \( 1151\) , \( 18901\bigr] \)
43218.2-c1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-c	\( \bigl[1\) , \( 0\) , \( 1\) , \( 2\) , \( 32\bigr] \)
43218.2-c2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-c	\( \bigl[1\) , \( 0\) , \( 1\) , \( -138\) , \( 592\bigr] \)
43218.2-d1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-d	\( \bigl[1\) , \( 0\) , \( 1\) , \( -712\) , \( -7402\bigr] \)
43218.2-d2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-d	\( \bigl[1\) , \( 0\) , \( 1\) , \( 23\) , \( -52\bigr] \)
43218.2-e1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-e	\( \bigl[1\) , \( 1\) , \( 1\) , \( -6910\) , \( -232261\bigr] \)
43218.2-e2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-e	\( \bigl[1\) , \( 1\) , \( 1\) , \( -50\) , \( 293\bigr] \)
43218.2-f1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( -197\) , \( -2367\bigr] \)
43218.2-f2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( 18913\) , \( -381333\bigr] \)
43218.2-f3	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( -5097\) , \( -49995\bigr] \)
43218.2-f4	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( -44787\) , \( 3609423\bigr] \)
43218.2-f5	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( -29155 a + 210993\) , \( -25951037 a - 11032169\bigr] \)
43218.2-f6	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( 29155 a + 210993\) , \( 25951037 a - 11032169\bigr] \)
43218.2-f7	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( -4117\) , \( -101935\bigr] \)
43218.2-f8	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-f	\( \bigl[1\) , \( 0\) , \( 0\) , \( -65857\) , \( -6510547\bigr] \)
43218.2-g1	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-g	\( \bigl[1\) , \( 0\) , \( 0\) , \( -141\) , \( 657\bigr] \)
43218.2-g2	\(\Q(\sqrt{-2}) \)	43218.2	43218.2-g	\( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( -1\bigr] \)