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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.2-a3 | 29.2-a | 6.6.434581.1 | \( 29 \) | 0 | $\Z/5\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-3\right){x}{y}+\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\right){y}={x}^{3}+\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-3\right){x}^{2}+\left(-4a^{5}+8a^{4}+14a^{3}-15a^{2}-9a-1\right){x}+2a^{5}-a^{4}-13a^{3}-2a^{2}+15a+4$ |
*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.