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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 | 6.6.592661.1 | \( 59 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-2a^{4}-9a^{3}+9a^{2}+6a-5\right){x}{y}+\left(a^{5}-5a^{3}+4a\right){y}={x}^{3}+\left(-a^{2}+3\right){x}^{2}+\left(-10a^{5}+14a^{4}+46a^{3}-59a^{2}-33a+34\right){x}-14a^{5}+19a^{4}+64a^{3}-79a^{2}-45a+44$ |
*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.