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
8.1-a2	4.4.2777.1	8	8.1	8.1-a	\( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 3 a\) , \( a^{2} - a - 1\) , \( a^{3} - 2 a^{2} - 3 a + 4\) , \( a^{3} - 2 a^{2} - 2 a + 2\bigr] \)
128.2-d2	4.4.2777.1	128	128.2	128.2-d	\( \bigl[a^{3} - 3 a\) , \( -a^{3} + 2 a^{2} + 3 a - 2\) , \( a\) , \( 2 a^{3} + 4 a^{2} - a - 1\) , \( 4 a^{3} + 6 a^{2} - 3 a - 4\bigr] \)
512.3-o1	4.4.2777.1	512	512.3	512.3-o	\( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - 3 a + 2\) , \( a^{2} + 2 a - 2\bigr] \)
512.3-p2	4.4.2777.1	512	512.3	512.3-p	\( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( -a\) , \( 0\) , \( a^{2} - 1\) , \( -a^{3} + 2 a^{2} + 3 a - 3\bigr] \)
968.1-c2	4.4.2777.1	968	968.1	968.1-c	\( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( -a^{2} + a + 3\) , \( a^{3} - 3 a - 1\) , \( 2 a^{3} - 8 a - 5\) , \( 2 a + 3\bigr] \)