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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.2-b2 | 43.2-b | \(\Q(\zeta_{11})^+\) | \( 43 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{3}-2a+1\right){x}{y}+\left(a^{4}-4a^{2}+2\right){y}={x}^{3}+\left(-a^{3}+3a\right){x}^{2}+\left(42a^{4}-193a^{3}+148a^{2}+559a-755\right){x}+589a^{4}-2716a^{3}+1086a^{2}+7676a-7875$ |
*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.