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
21.1-b4	4.4.9909.1	21	21.1	21.1-b	\( \bigl[a^{3} - a^{2} - 3 a + 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( 0\) , \( -90 a^{3} + 80 a^{2} + 433 a - 231\) , \( 813 a^{3} - 1180 a^{2} - 3693 a + 2070\bigr] \)
21.1-c4	4.4.9909.1	21	21.1	21.1-c	\( \bigl[a + 1\) , \( a^{3} - 4 a - 2\) , \( a^{2} - 2\) , \( -167 a^{3} - 178 a^{2} + 229 a - 60\) , \( 1329 a^{3} + 5176 a^{2} + 3359 a - 3168\bigr] \)