Refine search
Results (unique match)
Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.5-a1 | 43.5-a | \(\Q(\zeta_{11})^+\) | \( 43 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{3}-3a+1\right){x}{y}+\left(a^{4}+a^{3}-4a^{2}-2a+3\right){y}={x}^{3}+\left(-a^{3}+2a\right){x}^{2}+\left(-66a^{4}+214a^{3}-135a^{2}-134a+75\right){x}-1428a^{4}+3862a^{3}-836a^{2}-3010a+777$ |
*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.