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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
27.1-a2 | 27.1-a | 6.6.434581.1 | \( 3^{3} \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\right){x}{y}+\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\right){y}={x}^{3}+\left(a^{5}-4a^{4}+10a^{2}-a-4\right){x}^{2}+\left(-10a^{5}+13a^{4}+41a^{3}-9a^{2}-18a+1\right){x}-10a^{5}+10a^{4}+46a^{3}-a^{2}-20a-2$ |
*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.