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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 | \(\Q(\sqrt{22}) \) | \( 3^{2} \) | $1$ | $\mathsf{trivial}$ | $-11$ | $N(\mathrm{U}(1))$ | ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2630a-12325\right){x}-166312a+780079$ |
9.3-a2 | 9.3-a | \(\Q(\sqrt{22}) \) | \( 3^{2} \) | $1$ | $\mathsf{trivial}$ | $-11$ | $N(\mathrm{U}(1))$ | ${y}^2+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-5\right){x}-10a-52$ |
*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.