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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
17.1-a2 | 17.1-a | 4.4.19821.1 | \( 17 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{2}-a-4\right){x}{y}={x}^{3}+\left(\frac{2}{3}a^{3}-\frac{1}{3}a^{2}-4a+1\right){x}^{2}+\left(\frac{1}{3}a^{3}-\frac{5}{3}a^{2}-2a+9\right){x}+\frac{19}{3}a^{3}-\frac{2}{3}a^{2}-48a-11$ |
*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.