Refine search
Results (unique match)
Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
59.1-a1 | 59.1-a | 4.4.5725.1 | \( 59 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(\frac{1}{3}a^{3}+a^{2}-\frac{5}{3}a-\frac{8}{3}\right){x}{y}+\left(\frac{1}{3}a^{3}-\frac{5}{3}a+\frac{1}{3}\right){y}={x}^{3}-{x}^{2}+\left(\frac{2}{3}a^{3}+a^{2}-\frac{10}{3}a-\frac{10}{3}\right){x}+\frac{2}{3}a^{3}+a^{2}-\frac{10}{3}a-\frac{13}{3}$ |
*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.