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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
41.1-a1 | 41.1-a | 6.6.1241125.1 | \( 41 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-5a^{5}+2a^{4}+34a^{3}-2a^{2}-52a-19\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{3}-a^{2}-3a+1\right){x}^{2}+\left(-4178a^{5}+5149a^{4}+22801a^{3}-19626a^{2}-21217a-3693\right){x}-269508a^{5}+337696a^{4}+1461510a^{3}-1289635a^{2}-1338554a-220717$ |
*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.