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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
59.2-a1 | 59.2-a | 6.6.485125.1 | \( 59 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-a^{3}-3a^{2}+3a+2\right){x}{y}+\left(a^{5}-a^{4}-5a^{3}+4a^{2}+5a-2\right){y}={x}^{3}+\left(-2a^{5}+3a^{4}+8a^{3}-11a^{2}-6a+7\right){x}^{2}+\left(-6a^{5}+11a^{4}+24a^{3}-39a^{2}-19a+22\right){x}-4a^{5}+8a^{4}+15a^{3}-27a^{2}-12a+15$ |
*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.