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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
83.2-a1 | 83.2-a | 5.5.24217.1 | \( 83 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-a^{3}-4a^{2}+4a+1\right){x}{y}+\left(3a^{4}-a^{3}-14a^{2}+3a+5\right){y}={x}^{3}+\left(2a^{4}-10a^{2}-a+3\right){x}^{2}+\left(3a^{4}-3a^{3}-13a^{2}+10a+8\right){x}+a^{4}-5a^{2}$ |
*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.