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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
49.1-a1 | 49.1-a | \(\Q(\sqrt{-31}) \) | \( 7^{2} \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^3+\left(-a-1\right){x}^2+\left(2a+2\right){x}-2a+7$ |
*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.