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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.1-a3 | 29.1-a | 6.6.434581.1 | \( 29 \) | 0 | $\Z/5\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\right){y}={x}^{3}+\left(a^{5}-3a^{4}-a^{3}+7a^{2}-2a-2\right){x}^{2}+\left(-29a^{5}+67a^{4}+95a^{3}-175a^{2}-56a+79\right){x}-60a^{5}+141a^{4}+189a^{3}-364a^{2}-105a+158$ |
*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.