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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
59.1-a1 | 59.1-a | 5.5.24217.1 | \( 59 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{4}-9a^{2}+3\right){x}{y}+\left(3a^{4}-a^{3}-14a^{2}+3a+6\right){y}={x}^{3}+\left(4a^{4}-2a^{3}-19a^{2}+6a+7\right){x}^{2}+\left(-4a^{4}+3a^{3}+18a^{2}-9a-5\right){x}+3a^{4}-2a^{3}-13a^{2}+7a+3$ |
*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.