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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 | \(\Q(\sqrt{109}) \) | \( 3^{2} \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(5321a-30405\right){x}-482954a+2762611$ | |
9.3-b1 | 9.3-b | \(\Q(\sqrt{109}) \) | \( 3^{2} \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(a-6\right){x}+a-6$ |
*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.