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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.1-a2 | 43.1-a | \(\Q(\zeta_{11})^+\) | \( 43 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-4a^{2}+3\right){x}{y}+\left(a^{3}-2a\right){y}={x}^{3}+\left(-a^{4}+a^{3}+3a^{2}-2a-1\right){x}^{2}+\left(294a^{4}-510a^{3}-733a^{2}+1419a-379\right){x}+4714a^{4}-8577a^{3}-11707a^{2}+23701a-5755$ |
*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.