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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 | 6.6.434581.1 | \( 43 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-4a^{4}-7a^{3}+8a^{2}+5a-1\right){x}{y}+\left(a^{4}-2a^{3}-3a^{2}+4a+2\right){y}={x}^{3}+\left(a^{5}-3a^{4}-2a^{3}+8a^{2}+a-2\right){x}^{2}+\left(7a^{5}-17a^{4}-23a^{3}+48a^{2}+15a-22\right){x}+11a^{5}-24a^{4}-37a^{3}+66a^{2}+25a-32$ |
*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.