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
21.1-b3	4.4.9909.1	21	21.1	21.1-b	\( \bigl[a^{2} - a - 2\) , \( a^{3} - 5 a - 2\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + 2 a^{2} + 2 a - 1\) , \( 9 a^{3} + 3 a^{2} - 50 a - 49\bigr] \)
21.1-c3	4.4.9909.1	21	21.1	21.1-c	\( \bigl[a^{3} - a^{2} - 4 a + 1\) , \( a^{3} - a^{2} - 4 a + 1\) , \( a + 1\) , \( 3 a^{3} - a^{2} - 15 a - 5\) , \( -135 a^{3} - 70 a^{2} + 775 a + 803\bigr] \)