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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
29.2-c1 | 29.2-c | 6.6.434581.1 | \( 29 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-a^{4}-5a^{3}+a^{2}+3a+1\right){x}{y}+\left(2a^{5}-4a^{4}-7a^{3}+9a^{2}+3a-3\right){y}={x}^{3}+\left(-2a^{5}+5a^{4}+4a^{3}-10a^{2}+a+1\right){x}^{2}+\left(2a^{5}-2a^{4}-11a^{3}+2a^{2}+11a+4\right){x}+6a^{5}-8a^{4}-29a^{3}+11a^{2}+28a+6$ |
*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.