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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
51.1-a1 | 51.1-a | 4.4.19821.1 | \( 3 \cdot 17 \) | $2$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-\frac{1}{3}a^{3}+\frac{2}{3}a^{2}+2a-3\right){x}{y}={x}^{3}+\left(\frac{1}{3}a^{3}-\frac{2}{3}a^{2}-3a+2\right){x}^{2}+\left(\frac{4}{3}a^{3}-\frac{5}{3}a^{2}-8a+10\right){x}-\frac{10}{3}a^{3}+\frac{41}{3}a^{2}-13a+2$ |
*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.