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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
23.1-a1 | 23.1-a | 5.5.24217.1 | \( 23 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-a^{4}+a^{3}+5a^{2}-2a-3\right){x}{y}={x}^{3}+\left(-3a^{4}+a^{3}+15a^{2}-2a-8\right){x}^{2}+\left(-2a^{4}+2a^{3}+10a^{2}-2a-6\right){x}+17a^{4}-6a^{3}-81a^{2}+13a+45$ |
*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.