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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.2-d1 | 29.2-d | 6.6.434581.1 | \( 29 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a\right){x}{y}+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\right){y}={x}^{3}+\left(-2a^{5}+4a^{4}+7a^{3}-8a^{2}-5a+2\right){x}^{2}+\left(-a^{5}+5a^{3}+6a^{2}-2a-3\right){x}-4a^{5}+4a^{4}+18a^{3}+a^{2}-8a-3$ |
*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.