## Results (displaying all 6 matches)

curve label base field conductor norm conductor label isogeny class label Weierstrass coefficients
8.2-a1 4.4.2777.1 8 8.2 8.2-a $$\bigl[a^{2} - a - 2$$ , $$-a^{3} + a^{2} + 2 a - 2$$ , $$a^{3} - 4 a$$ , $$-2 a^{3} - 9 a^{2} - 10 a + 2$$ , $$32 a^{3} + 44 a^{2} - 34 a - 39\bigr]$$
8.2-a2 4.4.2777.1 8 8.2 8.2-a $$\bigl[a^{2} - a - 2$$ , $$-a^{3} + a^{2} + 4 a$$ , $$a^{3} - a^{2} - 2 a + 2$$ , $$-a^{3} - a^{2} + 4 a + 5$$ , $$-a^{3} - a^{2} + 4 a + 1\bigr]$$
8.2-a3 4.4.2777.1 8 8.2 8.2-a $$\bigl[a^{2} - 2$$ , $$a^{3} - 3 a - 2$$ , $$0$$ , $$9 a^{3} - 25 a^{2} + 14 a + 4$$ , $$-30 a^{3} + 72 a^{2} + 25 a - 54\bigr]$$
8.2-a4 4.4.2777.1 8 8.2 8.2-a $$\bigl[a^{2} - 2$$ , $$a^{3} - 3 a - 2$$ , $$0$$ , $$154 a^{3} - 405 a^{2} + 39 a + 154$$ , $$-2510 a^{3} + 6386 a^{2} + 264 a - 3160\bigr]$$
8.2-a5 4.4.2777.1 8 8.2 8.2-a $$\bigl[a^{3} - a^{2} - 3 a + 2$$ , $$a + 1$$ , $$a^{3} - a^{2} - 2 a + 2$$ , $$3 a^{3} - 2 a^{2} - 9 a - 6$$ , $$6 a^{3} - 3 a^{2} - 22 a - 13\bigr]$$
8.2-a6 4.4.2777.1 8 8.2 8.2-a $$\bigl[a^{3} - a^{2} - 3 a + 2$$ , $$a + 1$$ , $$a^{3} - a^{2} - 2 a + 2$$ , $$18 a^{3} - 37 a^{2} - 14 a + 4$$ , $$63 a^{3} - 160 a^{2} - 5 a + 73\bigr]$$