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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.3-b1 | 43.3-b | \(\Q(\zeta_{11})^+\) | \( 43 \) | 0 | $\Z/5\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-3a^{2}+a+1\right){x}{y}+\left(a^{3}-2a\right){y}={x}^{3}+\left(-a^{3}+a^{2}+4a-2\right){x}^{2}+\left(7a^{3}-2a^{2}-10a+2\right){x}+3a^{4}+7a^{3}-12a^{2}-6a+4$ |
*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.