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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.2-a4 | 71.2-a | 6.6.434581.1 | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+a{x}{y}+\left(3a^{5}-7a^{4}-8a^{3}+15a^{2}+a-4\right){y}={x}^{3}+\left(-a^{5}+2a^{4}+4a^{3}-4a^{2}-4a+2\right){x}^{2}+\left(20a^{5}-51a^{4}-52a^{3}+120a^{2}+55a-84\right){x}+251a^{5}-630a^{4}-644a^{3}+1463a^{2}+269a-526$ |
*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.