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-a1	4.4.2777.1	8	8.2	8.2-a	\( \bigl[a^{2} - a - 2\) , \( -a^{3} + a^{2} + 2 a - 2\) , \( a^{3} - 4 a\) , \( -2 a^{3} - 9 a^{2} - 10 a + 2\) , \( 32 a^{3} + 44 a^{2} - 34 a - 39\bigr] \)
16.2-a2	4.4.2777.1	16	16.2	16.2-a	\( \bigl[a^{3} - 4 a\) , \( -a^{2} + 1\) , \( a^{2} - a - 2\) , \( -76 a^{3} + 192 a^{2} + 10 a - 99\) , \( 264 a^{3} - 660 a^{2} - 64 a + 352\bigr] \)
64.3-b6	4.4.2777.1	64	64.3	64.3-b	\( \bigl[a^{3} - 4 a\) , \( -a^{2} + 2\) , \( a^{3} - a^{2} - 2 a + 2\) , \( -33 a^{3} - 40 a^{2} + 22 a + 24\) , \( -293 a^{3} - 393 a^{2} + 229 a + 245\bigr] \)
64.3-c3	4.4.2777.1	64	64.3	64.3-c	\( \bigl[a\) , \( 0\) , \( a^{3} - 4 a\) , \( 8 a^{3} - 32 a^{2} - 39 a + 45\) , \( 76 a^{3} - 57 a^{2} - 167 a + 137\bigr] \)
968.2-b6	4.4.2777.1	968	968.2	968.2-b	\( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( -a\) , \( a^{3} - 4 a\) , \( -23 a^{3} + 3 a^{2} - 3 a - 9\) , \( -130 a^{3} - 194 a^{2} + 136 a + 140\bigr] \)