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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
43.3-b2 | 43.3-b | \(\Q(\zeta_{11})^+\) | \( 43 \) | 0 | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-4a^{2}+a+3\right){x}{y}+\left(a^{4}-4a^{2}+2\right){y}={x}^{3}+\left(a^{4}-5a^{2}+3\right){x}^{2}+\left(-21a^{4}-275a^{3}+41a^{2}+674a-204\right){x}-200a^{4}-2874a^{3}+60a^{2}+6329a-1829$ |
*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.