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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.1-e4 | 29.1-e | \(\Q(\sqrt{5}, \sqrt{13})\) | \( 29 \) | 0 | $\Z/2\Z\oplus\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-\frac{1}{4}a^{3}+\frac{1}{2}a^{2}+\frac{9}{4}a-\frac{1}{2}\right){x}{y}+a{y}={x}^{3}+\left(\frac{1}{4}a^{3}-\frac{1}{2}a^{2}-\frac{9}{4}a+\frac{3}{2}\right){x}^{2}+\left(-2a^{3}+\frac{3}{2}a^{2}+\frac{31}{2}a-14\right){x}-\frac{29}{4}a^{3}+5a^{2}+\frac{247}{4}a-\frac{89}{2}$ |
*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.