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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
31.1-a1 | 31.1-a | 5.5.160801.1 | \( 31 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-4a^{2}+a\right){x}{y}+\left(a^{4}-a^{3}-5a^{2}+5a+3\right){y}={x}^{3}+\left(a^{3}+a^{2}-4a-2\right){x}^{2}+\left(3a^{4}+2a^{3}-8a^{2}+2a+3\right){x}-4a^{4}-3a^{3}+12a^{2}+a-6$ |
*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.