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
41.1-a3	4.4.725.1	41	41.1	41.1-a	\( \bigl[a + 1\) , \( -a^{3} + 2 a^{2} - 3\) , \( a + 1\) , \( -6 a^{3} + 16 a^{2} - 41\) , \( 21 a^{3} - 54 a^{2} - 19 a + 127\bigr] \)
1681.4-a2	4.4.725.1	1681	1681.4	1681.4-a	\( \bigl[a^{3} - a^{2} - 2 a + 1\) , \( a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - a + 1\) , \( -44 a^{3} + 58 a^{2} + 90 a - 88\) , \( -212 a^{3} + 340 a^{2} + 458 a - 446\bigr] \)