Elliptic Curve Search Results

Refine search

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-a4	\(\Q(\zeta_{11})^+\)	23	23.1	23.1-a	\( \bigl[a^{4} - 3 a^{2} + a + 1\) , \( a^{4} + a^{3} - 4 a^{2} - 4 a + 2\) , \( a^{4} - 3 a^{2} + 1\) , \( -959 a^{4} - 683 a^{3} + 2238 a^{2} + 491 a - 1224\) , \( -40616 a^{4} - 34613 a^{3} + 92332 a^{2} + 42697 a - 29653\bigr] \)
529.12-a4	\(\Q(\zeta_{11})^+\)	529	529.12	529.12-a	\( \bigl[1\) , \( -a^{4} + a^{3} + 4 a^{2} - 3 a - 2\) , \( a^{2} + a - 1\) , \( -7642 a^{4} - 981 a^{3} + 23763 a^{2} - 2800 a - 15793\) , \( 572002 a^{4} + 201731 a^{3} - 1679848 a^{2} - 156291 a + 872066\bigr] \)