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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
49.1-b1 | 49.1-b | 6.6.434581.1 | \( 7^{2} \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-4a^{4}-6a^{3}+7a^{2}+2a-1\right){x}{y}+\left(a^{5}-a^{4}-5a^{3}+4a+2\right){y}={x}^{3}+\left(2a^{5}-5a^{4}-5a^{3}+11a^{2}+a-3\right){x}^{2}+\left(-a^{5}+a^{4}+7a^{3}-3a^{2}-11a+1\right){x}+2a^{5}-5a^{4}-5a^{3}+12a^{2}-4$ |
*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.