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 4 matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
16.1-b2	4.4.2777.1	16	16.1	16.1-b	\( \bigl[a^{2} - 1\) , \( -a^{3} + 3 a\) , \( a\) , \( -4 a^{3} + 7 a^{2} + 11 a - 12\) , \( 3 a^{3} - 3 a^{2} - 7 a + 6\bigr] \)
128.2-a4	4.4.2777.1	128	128.2	128.2-a	\( \bigl[a\) , \( a^{3} - a^{2} - 3 a + 1\) , \( a^{3} - 4 a\) , \( 3 a^{3} - 8 a^{2} + 3 a + 3\) , \( 6 a^{3} - 19 a^{2} + 2 a + 6\bigr] \)
512.3-d1	4.4.2777.1	512	512.3	512.3-d	\( \bigl[a^{2} - 2\) , \( -a^{3} + a^{2} + 2 a\) , \( 0\) , \( -5 a^{3} + 7 a^{2} + 22 a - 25\) , \( 11 a^{3} - 23 a^{2} - 10 a + 7\bigr] \)
512.3-g4	4.4.2777.1	512	512.3	512.3-g	\( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - 2 a^{2} - 2 a + 4\) , \( a^{2} - a - 2\) , \( 10 a^{3} - a^{2} - 41 a - 26\) , \( 27 a^{3} + 7 a^{2} - 122 a - 108\bigr] \)