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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
9.2-a1 | 9.2-a | \(\Q(\sqrt{7}) \) | \( 3^{2} \) | 0 | $\Z/2\Z$ | $-4$ | $N(\mathrm{U}(1))$ | ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+5\right){x}+2a+3$ |
9.2-a2 | 9.2-a | \(\Q(\sqrt{7}) \) | \( 3^{2} \) | 0 | $\Z/2\Z$ | $-4$ | $N(\mathrm{U}(1))$ | ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(54a+141\right){x}+122a+321$ |
*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.