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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
32.1-a1 | 32.1-a | 5.5.65657.1 | \( 2^{5} \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-a^{4}+a^{3}+5a^{2}-3a-3\right){x}{y}+\left(-2a^{4}+3a^{3}+9a^{2}-8a-7\right){y}={x}^{3}+\left(-a^{4}+a^{3}+5a^{2}-3a-3\right){x}^{2}+\left(-3a^{4}+4a^{3}+8a^{2}-5a-7\right){x}-a^{4}-2a^{3}+7a^{2}+a-6$ |
*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.