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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.2-b1 | 29.2-b | 4.4.19821.1 | \( 29 \) | $1$ | $\Z/3\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-\frac{1}{3}a^{3}+\frac{2}{3}a^{2}+3a-3\right){x}{y}={x}^{3}+\left(\frac{2}{3}a^{3}-\frac{1}{3}a^{2}-4a+2\right){x}^{2}+\left(\frac{2}{3}a^{3}-\frac{7}{3}a^{2}-8a+10\right){x}-7a^{3}-15a^{2}+15a+13$ |
*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.