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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.2-b2 | 29.2-b | 4.4.19821.1 | \( 29 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(\frac{1}{3}a^{3}+\frac{1}{3}a^{2}-3a-1\right){x}{y}+\left(\frac{1}{3}a^{3}+\frac{1}{3}a^{2}-2a-1\right){y}={x}^{3}+\left(\frac{1}{3}a^{3}-\frac{2}{3}a^{2}-2a+4\right){x}^{2}+\left(-2a^{3}-a^{2}+10a-5\right){x}-\frac{20}{3}a^{3}+\frac{1}{3}a^{2}+37a-31$ |
*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.