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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.2-b2 | 71.2-b | 6.6.434581.1 | \( 71 \) | $1$ | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-2\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+4a^{2}+a-1\right){y}={x}^{3}+\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-5a+1\right){x}^{2}+\left(3a^{5}-5a^{4}-12a^{3}+9a^{2}+7a-2\right){x}+6a^{5}-16a^{4}-17a^{3}+45a^{2}+9a-20$ |
*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.