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
15.1-a4	4.4.9909.1	15	15.1	15.1-a	\( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{2} + 2 a + 4\) , \( a^{2} - 3\) , \( -26 a^{3} + 31 a^{2} + 121 a - 64\) , \( -120 a^{3} + 147 a^{2} + 543 a - 302\bigr] \)
15.1-b3	4.4.9909.1	15	15.1	15.1-b	\( \bigl[a^{2} - 3\) , \( -a^{2} + 2 a + 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 51 a^{3} - 98 a^{2} - 124 a + 85\) , \( 296 a^{3} - 560 a^{2} - 720 a + 467\bigr] \)