## Results (displaying all 8 matches)

curve label base field conductor norm conductor label isogeny class label Weierstrass coefficients
27.1-a1 5.5.65657.1 27 27.1 27.1-a $$\bigl[a^{3} - 4 a$$ , $$2 a^{4} - 3 a^{3} - 9 a^{2} + 10 a + 6$$ , $$-2 a^{4} + 3 a^{3} + 9 a^{2} - 8 a - 7$$ , $$2 a^{4} - a^{3} - 15 a^{2} + 10 a + 16$$ , $$a^{3} - 4 a^{2} + 4 a + 3\bigr]$$
27.1-b1 5.5.65657.1 27 27.1 27.1-b $$\bigl[a + 1$$ , $$a^{4} - 2 a^{3} - 3 a^{2} + 6 a$$ , $$a^{4} - a^{3} - 4 a^{2} + 2 a + 3$$ , $$3 a^{3} + a^{2} - 16 a - 4$$ , $$5 a^{4} + a^{3} - 22 a^{2} - 16 a - 4\bigr]$$
27.1-c1 5.5.65657.1 27 27.1 27.1-c $$\bigl[a^{2} - a - 1$$ , $$2 a^{4} - 2 a^{3} - 9 a^{2} + 4 a + 7$$ , $$a + 1$$ , $$6 a^{4} - 15 a^{3} - 24 a^{2} + 36 a + 16$$ , $$18 a^{4} - 27 a^{3} - 60 a^{2} + 70 a + 21\bigr]$$
27.1-c2 5.5.65657.1 27 27.1 27.1-c $$\bigl[a^{2} - 2$$ , $$-2 a^{4} + 2 a^{3} + 9 a^{2} - 5 a - 5$$ , $$-a^{4} + a^{3} + 5 a^{2} - 3 a - 4$$ , $$-3 a^{4} + 2 a^{3} + 13 a^{2} - a - 3$$ , $$-18 a^{4} - 5 a^{3} + 80 a^{2} + 68 a + 10\bigr]$$
27.1-d1 5.5.65657.1 27 27.1 27.1-d $$\bigl[a^{2} - 2$$ , $$-a^{4} + 5 a^{2} - 2$$ , $$a^{2} - a - 1$$ , $$3 a^{4} - 9 a^{3} - 7 a^{2} + 21 a + 2$$ , $$9 a^{4} - 15 a^{3} - 40 a^{2} + 52 a + 13\bigr]$$
27.1-d2 5.5.65657.1 27 27.1 27.1-d $$\bigl[-a^{4} + a^{3} + 5 a^{2} - 3 a - 3$$ , $$a^{4} - a^{3} - 5 a^{2} + 3 a + 4$$ , $$a^{2} - a - 2$$ , $$-2 a^{2} + 3 a + 4$$ , $$-2 a^{4} - 2 a^{3} + 10 a^{2} + 12 a + 3\bigr]$$
27.1-e1 5.5.65657.1 27 27.1 27.1-e $$\bigl[-a^{4} + a^{3} + 5 a^{2} - 2 a - 3$$ , $$-a^{4} + 2 a^{3} + 3 a^{2} - 4 a$$ , $$-a^{4} + 2 a^{3} + 5 a^{2} - 6 a - 4$$ , $$2 a^{4} - 8 a^{3} + 5 a^{2} + 6 a + 1$$ , $$-2 a^{4} + 5 a^{3} + a^{2} - 5 a - 1\bigr]$$
27.1-f1 5.5.65657.1 27 27.1 27.1-f $$\bigl[a^{3} - 3 a - 1$$ , $$-3 a^{4} + 4 a^{3} + 13 a^{2} - 10 a - 10$$ , $$-2 a^{4} + 3 a^{3} + 9 a^{2} - 8 a - 7$$ , $$2 a^{4} - 3 a^{3} - 12 a^{2} + 12 a + 19$$ , $$-8 a^{4} + 9 a^{3} + 37 a^{2} - 21 a - 25\bigr]$$