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
27.1-a2	5.5.36497.1	27	27.1	27.1-a	\( \bigl[a^{4} - a^{3} - 3 a^{2} + 2 a\) , \( a^{2} - a - 2\) , \( 2 a^{4} - 3 a^{3} - 6 a^{2} + 7 a + 1\) , \( 374 a^{4} - 252 a^{3} - 1451 a^{2} - 59 a + 277\) , \( 5982 a^{4} - 3984 a^{3} - 23258 a^{2} - 1118 a + 4479\bigr] \)
27.1-b2	5.5.36497.1	27	27.1	27.1-b	\( \bigl[2 a^{4} - 3 a^{3} - 7 a^{2} + 8 a + 3\) , \( a^{3} - 5 a - 2\) , \( a^{4} - a^{3} - 3 a^{2} + a\) , \( -5 a^{3} + 2 a^{2} + 16 a - 1\) , \( 4 a^{4} - 4 a^{3} - 16 a^{2} + 6 a + 10\bigr] \)