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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.2-a2 | 29.2-a | 6.6.434581.1 | \( 29 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-a^{4}-5a^{3}+5a+1\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\right){y}={x}^{3}+\left(-a^{5}+3a^{4}+2a^{3}-8a^{2}-a+3\right){x}^{2}+\left(130a^{5}-309a^{4}-397a^{3}+796a^{2}+211a-347\right){x}+980a^{5}-2356a^{4}-3009a^{3}+6089a^{2}+1599a-2603$ |
*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.