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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
13.1-a1 | 13.1-a | 6.6.592661.1 | \( 13 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-4a^{3}+2a\right){x}{y}+\left(a^{2}+a-1\right){y}={x}^{3}+\left(a^{5}-a^{4}-4a^{3}+3a^{2}+a\right){x}^{2}+\left(-2a^{4}-a^{3}+6a^{2}-2\right){x}$ |
*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.