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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.1-b1 | 29.1-b | 6.6.434581.1 | \( 29 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\right){x}{y}+\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\right){y}={x}^{3}+\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+3a+3\right){x}^{2}+\left(3a^{5}-9a^{4}-8a^{3}+29a^{2}+7a-15\right){x}-16a^{5}+35a^{4}+53a^{3}-84a^{2}-28a+32$ |
*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.