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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
9.3-a1 | 9.3-a | \(\Q(\sqrt{46}) \) | \( 3^{2} \) | $1$ | $\Z/2\Z$ | $-8$ | $N(\mathrm{U}(1))$ | ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(283971a-1926004\right){x}+191681031a-1300044015$ |
9.3-a2 | 9.3-a | \(\Q(\sqrt{46}) \) | \( 3^{2} \) | $1$ | $\Z/2\Z$ | $-8$ | $N(\mathrm{U}(1))$ | ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-79a-444\right){x}+620a+4423$ |
*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.