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
1.1-a3	\(\Q(\zeta_{21})^+\)	1	1.1	1.1-a	\( \bigl[0\) , \( a^{4} - 3 a^{2} + a + 1\) , \( a^{5} - 4 a^{3} + a^{2} + 2 a - 2\) , \( 131 a^{5} - 79 a^{4} - 814 a^{3} + 488 a^{2} + 1133 a - 800\) , \( -1218 a^{5} + 802 a^{4} + 7465 a^{3} - 4959 a^{2} - 10420 a + 7417\bigr] \)
1.1-a4	\(\Q(\zeta_{21})^+\)	1	1.1	1.1-a	\( \bigl[0\) , \( -a^{5} + a^{4} + 6 a^{3} - 4 a^{2} - 9 a + 1\) , \( a^{5} - 5 a^{3} + a^{2} + 5 a - 1\) , \( -188 a^{5} + 589 a^{4} + 447 a^{3} - 2545 a^{2} + 1720 a - 203\) , \( -6938 a^{5} + 17357 a^{4} + 18336 a^{3} - 72391 a^{2} + 45500 a - 5253\bigr] \)