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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.2-a2 | 71.2-a | 6.6.434581.1 | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\right){x}{y}+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-3\right){y}={x}^{3}+\left(a^{5}-4a^{4}+10a^{2}-2a-4\right){x}^{2}+\left(11a^{5}-15a^{4}-45a^{3}+17a^{2}+18a-6\right){x}-14a^{5}+9a^{4}+66a^{3}+31a^{2}-27a-17$ |
*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.