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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
49.1-b2 | 49.1-b | 6.6.434581.1 | \( 7^{2} \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{5}-a^{4}-5a^{3}+5a+1\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+4a^{2}\right){y}={x}^{3}+\left(2a^{5}-3a^{4}-8a^{3}+4a^{2}+5a-1\right){x}^{2}+\left(3a^{5}-8a^{4}-8a^{3}+21a^{2}+5a-7\right){x}-5a^{5}+13a^{4}+14a^{3}-36a^{2}-6a+15$ |
*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.