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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.1-a3 | 71.1-a | 6.6.434581.1 | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+3a-2\right){x}{y}+\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\right){y}={x}^{3}+\left(a^{5}-3a^{4}-a^{3}+6a^{2}-3a-2\right){x}^{2}+\left(10a^{5}-30a^{4}-10a^{3}+51a^{2}-a-14\right){x}-15a^{5}+55a^{4}-31a^{3}-39a^{2}+17a+6$ |
*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.