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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.1-a2 | 71.1-a | 6.6.434581.1 | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\right){x}{y}={x}^{3}+\left(-a^{5}+6a^{3}+4a^{2}-3a-2\right){x}^{2}+\left(-4a^{5}+3a^{4}+19a^{3}+5a^{2}-7a-2\right){x}$ |
*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.