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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.1-c1 | 29.1-c | 6.6.434581.1 | \( 29 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-5a^{4}-5a^{3}+12a^{2}+a-3\right){x}{y}+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+5a-2\right){y}={x}^{3}+\left(2a^{5}-6a^{4}-3a^{3}+15a^{2}-4a-6\right){x}^{2}+\left(20a^{5}-49a^{4}-58a^{3}+125a^{2}+24a-46\right){x}+31a^{5}-75a^{4}-92a^{3}+193a^{2}+40a-78$ |
*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.