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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.1-b2 | 71.1-b | 6.6.434581.1 | \( 71 \) | 0 | $\Z/3\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+4a-1\right){x}{y}+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\right){y}={x}^{3}+\left(-2a^{4}+3a^{3}+7a^{2}-3a-4\right){x}^{2}+\left(-3a^{5}+6a^{4}+9a^{3}-9a^{2}-3a\right){x}-a^{5}+2a^{4}+3a^{3}-4a^{2}+a-1$ |
*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.