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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.2-a1 | 43.2-a | 6.6.434581.1 | \( 43 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\right){x}{y}+\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}-3\right){y}={x}^{3}+\left(a^{5}-4a^{4}+11a^{2}-3a-4\right){x}^{2}+\left(-3a^{5}+2a^{4}+16a^{3}+2a^{2}-9a-1\right){x}+9a^{5}-24a^{4}-27a^{3}+71a^{2}+19a-34$ |
*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.