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 5 matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
8.2-a2	4.4.2777.1	8	8.2	8.2-a	\( \bigl[a^{2} - a - 2\) , \( -a^{3} + a^{2} + 4 a\) , \( a^{3} - a^{2} - 2 a + 2\) , \( -a^{3} - a^{2} + 4 a + 5\) , \( -a^{3} - a^{2} + 4 a + 1\bigr] \)
16.2-a3	4.4.2777.1	16	16.2	16.2-a	\( \bigl[a^{3} - 3 a\) , \( -a^{3} + 3 a + 2\) , \( a^{3} - 3 a\) , \( -2 a^{3} + 6 a + 2\) , \( -a^{3} + 3 a + 1\bigr] \)
64.3-b3	4.4.2777.1	64	64.3	64.3-b	\( \bigl[a^{2} - a - 2\) , \( -a^{2} + 3\) , \( a^{3} - a^{2} - 2 a + 2\) , \( -2 a^{3} + 2 a^{2} + 6 a - 1\) , \( -5 a^{3} + 7 a^{2} + 14 a - 12\bigr] \)
64.3-c4	4.4.2777.1	64	64.3	64.3-c	\( \bigl[a\) , \( -a^{2} + 2\) , \( a\) , \( -a^{2} + 1\) , \( 0\bigr] \)
968.2-b2	4.4.2777.1	968	968.2	968.2-b	\( \bigl[a^{3} - 4 a\) , \( -a^{3} + a^{2} + 4 a - 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( -6 a^{3} + 9 a^{2} + 18 a - 15\) , \( -8 a^{3} + 13 a^{2} + 23 a - 22\bigr] \)