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
23.1-a3	\(\Q(\zeta_{11})^+\)	23	23.1	23.1-a	\( \bigl[a^{3} - 3 a + 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( 0\) , \( -88 a^{4} + 205 a^{3} + 9 a^{2} - 233 a - 49\) , \( -1417 a^{4} + 3592 a^{3} - 564 a^{2} - 3064 a + 554\bigr] \)
529.12-a3	\(\Q(\zeta_{11})^+\)	529	529.12	529.12-a	\( \bigl[1\) , \( -a^{4} + a^{3} + 4 a^{2} - 3 a - 2\) , \( a^{2} + a - 1\) , \( 348 a^{4} + 144 a^{3} - 1452 a^{2} - 1420 a - 403\) , \( 28239 a^{4} + 8730 a^{3} - 95463 a^{2} - 33936 a + 28463\bigr] \)