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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
31.2-a1 | 31.2-a | 6.6.592661.1 | \( 31 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-3a^{2}+a-1\right){x}{y}+\left(a^{5}-4a^{3}+a^{2}+2a-2\right){y}={x}^{3}+\left(2a^{5}-2a^{4}-9a^{3}+9a^{2}+4a-5\right){x}^{2}+\left(a^{3}+2a^{2}-6a+2\right){x}+4a^{5}-5a^{4}-12a^{3}+15a^{2}+3a-5$ |
*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.