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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.1-b1 | 71.1-b | 6.6.434581.1 | \( 71 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(3a^{5}-6a^{4}-10a^{3}+12a^{2}+4a-2\right){x}{y}+\left(a^{5}-2a^{4}-3a^{3}+4a^{2}-1\right){y}={x}^{3}+\left(-a^{5}+6a^{3}+4a^{2}-5a-3\right){x}^{2}+\left(-297a^{5}+798a^{4}+604a^{3}-1840a^{2}+208a+366\right){x}-3433a^{5}+9442a^{4}+6587a^{3}-22010a^{2}+3003a+4476$ |
*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.