## Refine search

*The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.

## Results (16 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
1024.1-a1 $$\Q(\sqrt{5})$$ 1024.1 1024.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$-1$$ , $$0\bigr]$$
1024.1-a2 $$\Q(\sqrt{5})$$ 1024.1 1024.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$4$$ , $$0\bigr]$$
1024.1-j1 $$\Q(\sqrt{5})$$ 1024.1 1024.1-j $$\bigl[0$$ , $$0$$ , $$0$$ , $$-\phi - 1$$ , $$0\bigr]$$
1024.1-j2 $$\Q(\sqrt{5})$$ 1024.1 1024.1-j $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 \phi + 4$$ , $$0\bigr]$$
4096.1-c1 $$\Q(\sqrt{5})$$ 4096.1 4096.1-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$\phi - 1$$ , $$0\bigr]$$
4096.1-c2 $$\Q(\sqrt{5})$$ 4096.1 4096.1-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 \phi + 4$$ , $$0\bigr]$$
4096.1-d1 $$\Q(\sqrt{5})$$ 4096.1 4096.1-d $$\bigl[0$$ , $$0$$ , $$0$$ , $$1$$ , $$0\bigr]$$
4096.1-d2 $$\Q(\sqrt{5})$$ 4096.1 4096.1-d $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4$$ , $$0\bigr]$$
4096.1-j1 $$\Q(\sqrt{5})$$ 4096.1 4096.1-j $$\bigl[0$$ , $$0$$ , $$0$$ , $$-\phi$$ , $$0\bigr]$$
4096.1-j2 $$\Q(\sqrt{5})$$ 4096.1 4096.1-j $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 \phi$$ , $$0\bigr]$$
4096.1-v1 $$\Q(\sqrt{5})$$ 4096.1 4096.1-v $$\bigl[0$$ , $$0$$ , $$0$$ , $$\phi + 1$$ , $$0\bigr]$$
4096.1-v2 $$\Q(\sqrt{5})$$ 4096.1 4096.1-v $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 \phi - 4$$ , $$0\bigr]$$
4096.1-w1 $$\Q(\sqrt{5})$$ 4096.1 4096.1-w $$\bigl[0$$ , $$0$$ , $$0$$ , $$\phi$$ , $$0\bigr]$$
4096.1-w2 $$\Q(\sqrt{5})$$ 4096.1 4096.1-w $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 \phi$$ , $$0\bigr]$$
4096.1-ba1 $$\Q(\sqrt{5})$$ 4096.1 4096.1-ba $$\bigl[0$$ , $$0$$ , $$0$$ , $$-\phi + 1$$ , $$0\bigr]$$
4096.1-ba2 $$\Q(\sqrt{5})$$ 4096.1 4096.1-ba $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 \phi - 4$$ , $$0\bigr]$$