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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
25.1-a2 | 25.1-a | 4.4.19821.1 | \( 5^{2} \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{2}-a-4\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(\frac{2}{3}a^{3}-\frac{1}{3}a^{2}-6a+1\right){x}^{2}+\left(\frac{14}{3}a^{3}-\frac{22}{3}a^{2}-20a+3\right){x}-\frac{37}{3}a^{3}+\frac{32}{3}a^{2}+67a+16$ |
*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.