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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.1-a2 | 29.1-a | 6.6.1241125.1 | \( 29 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{2}-3\right){x}{y}+\left(-a^{5}+a^{4}+6a^{3}-3a^{2}-7a-2\right){y}={x}^{3}+\left(-2a^{5}+a^{4}+13a^{3}-2a^{2}-19a-5\right){x}^{2}+\left(1531a^{5}-743a^{4}-10369a^{3}+1820a^{2}+16027a+3286\right){x}+33441a^{5}-15713a^{4}-226728a^{3}+38407a^{2}+350175a+72382$ |
*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.