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-a1	4.4.725.1	41	41.1	41.1-a	\( \bigl[a + 1\) , \( -a^{3} + 2 a^{2} - 3\) , \( a + 1\) , \( 2219 a^{3} - 409 a^{2} - 7390 a - 3741\) , \( 84340 a^{3} - 20755 a^{2} - 271950 a - 120407\bigr] \)
1681.4-a1	4.4.725.1	1681	1681.4	1681.4-a	\( \bigl[a^{3} - a^{2} - 2 a + 1\) , \( a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - a + 1\) , \( 691 a^{3} - 1462 a^{2} - 165 a - 1303\) , \( 21645 a^{3} - 72273 a^{2} + 17144 a + 50940\bigr] \)