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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.2-b1 | 71.2-b | 6.6.434581.1 | \( 71 \) | $1$ | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\right){x}{y}+\left(a^{5}-2a^{4}-4a^{3}+5a^{2}+4a-1\right){y}={x}^{3}+\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}-4\right){x}^{2}+\left(10a^{5}-30a^{4}-16a^{3}+72a^{2}-2a-32\right){x}+a^{5}+3a^{4}-24a^{3}+25a^{2}+18a-26$ |
*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.