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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
27.1-a1 | 27.1-a | 6.6.1541581.1 | \( 3^{3} \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+5a+1\right){x}{y}+\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+5a\right){y}={x}^{3}+\left(-a^{5}+2a^{4}+4a^{3}-5a^{2}-4a-1\right){x}^{2}+\left(2a^{5}-3a^{4}-10a^{3}+9a^{2}+13a-7\right){x}+4a^{5}-7a^{4}-18a^{3}+20a^{2}+21a-8$ |
*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.