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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 | 5.5.65657.1 | \( 19 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a^{4}-a^{3}-4a^{2}+2a+2\right){x}{y}+\left(-a^{4}+a^{3}+5a^{2}-3a-4\right){y}={x}^{3}+\left(a^{4}-a^{3}-5a^{2}+4a+4\right){x}^{2}+\left(4a^{4}-5a^{3}-17a^{2}+12a+16\right){x}+2a^{4}-2a^{3}-10a^{2}+6a+9$ |
*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.