Refine search
Results (unique match)
Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
41.4-b1 | 41.4-b | 6.6.703493.1 | \( 41 \) | 0 | $\Z/2\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-2a^{4}-11a^{3}+10a^{2}+9a-4\right){x}{y}+\left(3a^{5}-2a^{4}-17a^{3}+10a^{2}+17a-2\right){y}={x}^{3}+\left(-a^{5}+a^{4}+5a^{3}-4a^{2}-3a-1\right){x}^{2}+\left(-6a^{5}+5a^{4}+34a^{3}-23a^{2}-33a+4\right){x}-6a^{5}+3a^{4}+36a^{3}-15a^{2}-43a+5$ |
*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.