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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
19.1-a1 | 19.1-a | 4.4.8789.1 | \( 19 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{3}-a^{2}-6a-1\right){x}{y}+{y}={x}^{3}+\left(-2a^{3}+3a^{2}+11a\right){x}^{2}+\left(2a^{3}-5a^{2}-6a+10\right){x}-6a^{3}+10a^{2}+29a-6$ |
*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.