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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.3-a1 | 71.3-a | \(\Q(\zeta_{7})^+\) | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+{x}{y}+\left(a^{2}-1\right){y}={x}^{3}+\left(a^{2}-2\right){x}^{2}+\left(4a^{2}-10a-44\right){x}-32a^{2}-61a-73$ |
*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.