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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
49.1-a2 | 49.1-a | 6.6.434581.1 | \( 7^{2} \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+2a-2\right){x}{y}+\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+4a+1\right){y}={x}^{3}+\left(-a^{5}+a^{4}+4a^{3}+a^{2}-2a-1\right){x}^{2}+\left(-5a^{5}+7a^{4}+20a^{3}-5a^{2}-13a-3\right){x}-a^{5}+a^{4}+6a^{3}+a^{2}-8a-3$ |
*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.