Elliptic curve search results

Base field	Base field degree	Conductor norm	j-invariant	Base change curves
\(\Q\)-curves	Cyclic isogeny degree	Rank*	Torsion order	Torsion structure
CM	CM discriminant	Curves per isogeny class

Results (11 matches)

 

Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
171.1-a4	\(\Q(\sqrt{-3}) \)	171.1	171.1-a	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 5 a + 5\) , \( -11 a + 11\bigr] \)
3249.1-a4	\(\Q(\sqrt{-3}) \)	3249.1	3249.1-a	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -600 a + 426\) , \( -2310 a + 5603\bigr] \)
8379.1-a4	\(\Q(\sqrt{-3}) \)	8379.1	8379.1-a	\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -212 a + 34\) , \( 1149 a - 785\bigr] \)
8379.5-d4	\(\Q(\sqrt{-3}) \)	8379.5	8379.5-d	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 180 a + 30\) , \( 297 a - 1207\bigr] \)
28899.1-d4	\(\Q(\sqrt{-3}) \)	28899.1	28899.1-d	\( \bigl[1\) , \( -1\) , \( 1\) , \( 4 a - 124\) , \( -27 a + 560\bigr] \)
28899.5-c4	\(\Q(\sqrt{-3}) \)	28899.5	28899.5-c	\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 7 a + 118\) , \( -564 a + 333\bigr] \)
43776.1-b4	\(\Q(\sqrt{-3}) \)	43776.1	43776.1-b	\( \bigl[0\) , \( 0\) , \( 0\) , \( 519 a - 264\) , \( -3036 a - 1038\bigr] \)
43776.1-o4	\(\Q(\sqrt{-3}) \)	43776.1	43776.1-o	\( \bigl[0\) , \( 0\) , \( 0\) , \( 85 a - 173\) , \( 568 a - 790\bigr] \)
43776.1-q4	\(\Q(\sqrt{-3}) \)	43776.1	43776.1-q	\( \bigl[0\) , \( 0\) , \( 0\) , \( -264 a - 255\) , \( 3036 a + 1038\bigr] \)
61731.3-c4	\(\Q(\sqrt{-3}) \)	61731.3	61731.3-c	\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 183 a + 417\) , \( -4773 a + 4499\bigr] \)
106875.1-a4	\(\Q(\sqrt{-3}) \)	106875.1	106875.1-a	\( \bigl[1\) , \( -1\) , \( a\) , \( 137 a + 133\) , \( -1144 a + 1510\bigr] \)