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 both matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
85.2-a2	5.5.24217.1	85	85.2	85.2-a	\( \bigl[2 a^{4} - a^{3} - 9 a^{2} + 4 a + 4\) , \( 3 a^{4} - 2 a^{3} - 14 a^{2} + 5 a + 7\) , \( 0\) , \( -8 a^{4} + 4 a^{3} + 36 a^{2} - 12 a - 24\) , \( -34 a^{4} + 13 a^{3} + 154 a^{2} - 33 a - 90\bigr] \)
425.2-e2	5.5.24217.1	425	425.2	425.2-e	\( \bigl[a^{4} - 4 a^{2}\) , \( -a^{2} + 1\) , \( -2 a^{4} + a^{3} + 10 a^{2} - 2 a - 5\) , \( 68 a^{4} - 56 a^{3} - 298 a^{2} + 179 a + 67\) , \( 514 a^{4} - 359 a^{3} - 2315 a^{2} + 1095 a + 761\bigr] \)