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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
1.0.1-a1 | 1.0.1-a | \(\Q(\sqrt{-127285811}) \) | \( 1 \) | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-9990090a+21097369555517\right){x}+14191419334208a-18651160865299269019$ |
*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.