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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
49.1-a1 | 49.1-a | 6.6.485125.1 | \( 7^{2} \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(-a^{5}+2a^{4}+4a^{3}-7a^{2}-3a+3\right){x}{y}+\left(a^{4}-a^{3}-3a^{2}+3a+2\right){y}={x}^{3}+\left(a^{5}-a^{4}-5a^{3}+3a^{2}+5a-1\right){x}^{2}+\left(4a^{5}-8a^{4}-16a^{3}+32a^{2}+10a-24\right){x}-21a^{5}+37a^{4}+92a^{3}-148a^{2}-74a+90$ |
*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.