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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.5-b2 | 43.5-b | \(\Q(\zeta_{11})^+\) | \( 43 \) | 0 | $\Z/5\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-4a^{2}+2\right){x}{y}+\left(a^{4}+a^{3}-4a^{2}-3a+3\right){y}={x}^{3}+\left(a^{4}+a^{3}-4a^{2}-4a+3\right){x}^{2}+\left(-5a^{4}+a^{3}+17a^{2}-3a-7\right){x}-3a^{4}+a^{3}+10a^{2}-7a-11$ |
*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.