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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
197.1-a2 | 197.1-a | \(\Q(\zeta_{11})^+\) | \( 197 \) | 0 | $\Z/7\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-4a^{2}+2\right){x}{y}+\left(a^{4}-4a^{2}+3\right){y}={x}^{3}+\left(-a^{4}+5a^{2}-a-4\right){x}^{2}+\left(-2a+2\right){x}-a^{3}+2a^{2}+2a-4$ |
*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.