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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.1-a4 | 71.1-a | 6.6.434581.1 | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a+1\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+3a^{2}+a\right){y}={x}^{3}+\left(-2a^{5}+5a^{4}+5a^{3}-11a^{2}-a+2\right){x}^{2}+\left(-97a^{5}+157a^{4}+417a^{3}-259a^{2}-387a-94\right){x}-599a^{5}+877a^{4}+2755a^{3}-1288a^{2}-2719a-723$ |
*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.