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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.1-a1 | 29.1-a | 4.4.19225.1 | \( 29 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(\frac{1}{2}a^{3}-\frac{3}{2}a^{2}-\frac{5}{2}a+8\right){x}{y}+\left(-\frac{1}{2}a^{3}+\frac{5}{2}a^{2}+\frac{7}{2}a-14\right){y}={x}^{3}+\left(\frac{3}{2}a^{3}-\frac{11}{2}a^{2}-\frac{21}{2}a+32\right){x}^{2}+\left(-59a^{3}+194a^{2}+433a-1112\right){x}+406a^{3}-1360a^{2}-2899a+7616$ |
*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.