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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
71.4-c2 | 71.4-c | 6.6.300125.1 | \( 71 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-8a^{5}+2a^{4}+58a^{3}+27a^{2}-38a-11\right){x}{y}+\left(-a^{5}+8a^{3}+5a^{2}-7a-2\right){y}={x}^{3}+\left(-a^{5}+8a^{3}+5a^{2}-9a-4\right){x}^{2}+\left(24a^{5}-21a^{4}-145a^{3}-27a^{2}+88a+6\right){x}+11a^{5}-92a^{4}+101a^{3}+251a^{2}-84a-106$ |
*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.