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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.2-b1 | 43.2-b | 6.6.434581.1 | \( 43 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-3\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\right){y}={x}^{3}+\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-3\right){x}^{2}+\left(-2a^{5}-2a^{4}+13a^{3}+19a^{2}-4a-9\right){x}-13a^{5}+16a^{4}+56a^{3}-13a^{2}-25a+4$ |
*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.