Elliptic Curve Search Results

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Base field	Conductor norm	Isogenous curves	Base change curves	\(\Q\)-curves	CM curves
Torsion order	Isogeny degree	Torsion structure	j-invariant

Results (displaying all 17 matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
81.1-CMa2	\(\Q(\sqrt{-3}) \)	81	81.1	81.1-CMa	\( \bigl[0\) , \( 0\) , \( 1\) , \( -30\) , \( 63\bigr] \)
3969.1-CMb2	\(\Q(\sqrt{-3}) \)	3969	3969.1	3969.1-CMb	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -79 a + 50\) , \( -177 a + 303\bigr] \)
3969.3-CMb2	\(\Q(\sqrt{-3}) \)	3969	3969.3	3969.3-CMb	\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 81 a - 30\) , \( 97 a + 156\bigr] \)
13689.1-CMb2	\(\Q(\sqrt{-3}) \)	13689	13689.1	13689.1-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( -210 a - 240\) , \( 2277 a + 1075\bigr] \)
13689.3-CMb2	\(\Q(\sqrt{-3}) \)	13689	13689.3	13689.3-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( 210 a - 450\) , \( -2277 a + 3352\bigr] \)
20736.1-CMc2	\(\Q(\sqrt{-3}) \)	20736	20736.1	20736.1-CMc	\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 161 a - 160\) , \( 846 a - 343\bigr] \)
20736.1-CMb2	\(\Q(\sqrt{-3}) \)	20736	20736.1	20736.1-CMb	\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -159 a\) , \( -1006 a + 503\bigr] \)
20736.1-CMa2	\(\Q(\sqrt{-3}) \)	20736	20736.1	20736.1-CMa	\( \bigl[0\) , \( 0\) , \( 0\) , \( -480 a + 480\) , \( -4048\bigr] \)
29241.1-CMd2	\(\Q(\sqrt{-3}) \)	29241	29241.1	29241.1-CMd	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -49 a - 160\) , \( -480 a - 789\bigr] \)
29241.3-CMd2	\(\Q(\sqrt{-3}) \)	29241	29241.3	29241.3-CMd	\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 51 a - 210\) , \( 430 a - 1059\bigr] \)
50625.1-CMb2	\(\Q(\sqrt{-3}) \)	50625	50625.1	50625.1-CMb	\( \bigl[0\) , \( 0\) , \( 1\) , \( -750\) , \( 7906\bigr] \)
77841.1-CMc2	\(\Q(\sqrt{-3}) \)	77841	77841.1	77841.1-CMc	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -349 a + 110\) , \( -2361 a + 2184\bigr] \)
77841.3-CMc2	\(\Q(\sqrt{-3}) \)	77841	77841.3	77841.3-CMc	\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 351 a - 240\) , \( 2011 a + 63\bigr] \)
110889.1-CMc2	\(\Q(\sqrt{-3}) \)	110889	110889.1	110889.1-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( 990 a - 1200\) , \( -15939 a + 11448\bigr] \)
110889.3-CMc2	\(\Q(\sqrt{-3}) \)	110889	110889.3	110889.3-CMc	\( \bigl[0\) , \( 0\) , \( 1\) , \( -990 a - 210\) , \( 15939 a - 4491\bigr] \)
149769.1-CMb2	\(\Q(\sqrt{-3}) \)	149769	149769.1	149769.1-CMb	\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -479 a + 130\) , \( -3378 a + 2952\bigr] \)
149769.3-CMb2	\(\Q(\sqrt{-3}) \)	149769	149769.3	149769.3-CMb	\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 481 a - 350\) , \( 3858 a - 776\bigr] \)