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
22.1-a6	4.4.2777.1	22	22.1	22.1-a	\( \bigl[a^{2} - a - 1\) , \( a^{3} - 2 a^{2} - 3 a + 4\) , \( a^{3} - 4 a - 1\) , \( 2 a^{3} - 3 a^{2} - 7 a + 4\) , \( a^{3} - a^{2} - 4 a\bigr] \)
176.2-f5	4.4.2777.1	176	176.2	176.2-f	\( \bigl[a^{3} - 4 a\) , \( -a^{3} + 3 a + 2\) , \( a\) , \( -5 a^{3} + 5 a^{2} + 15 a - 1\) , \( -2 a^{2} + a + 7\bigr] \)
242.1-e11	4.4.2777.1	242	242.1	242.1-e	\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -2 a^{3} + 6 a^{2} - a - 5\) , \( -3 a^{3} + 8 a^{2} - 5\bigr] \)
704.3-d3	4.4.2777.1	704	704.3	704.3-d	\( \bigl[a^{2} - 2\) , \( -a^{3} + 2 a^{2} + 2 a - 4\) , \( a^{2} - 2\) , \( 4 a^{2} - 3 a - 1\) , \( -6 a^{2} + 2 a + 2\bigr] \)
704.3-q12	4.4.2777.1	704	704.3	704.3-q	\( \bigl[a^{3} - a^{2} - 2 a + 2\) , \( a^{2} - 3\) , \( a^{2} - 2\) , \( 3 a^{2} + 2 a - 2\) , \( 3 a^{3} + a^{2} - 5 a + 1\bigr] \)