Refine search
Results (unique match)
Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
13.4-a1 | 13.4-a | 6.6.703493.1 | \( 13 \) | $1$ | $\mathsf{trivial}$ | $\mathrm{SU}(2)$ | ${y}^2+\left(2a^{5}-a^{4}-12a^{3}+6a^{2}+14a-3\right){x}{y}+\left(2a^{5}-2a^{4}-11a^{3}+10a^{2}+9a-4\right){y}={x}^{3}+\left(-a^{5}+a^{4}+6a^{3}-6a^{2}-5a+4\right){x}^{2}+\left(a^{5}-4a^{3}+a^{2}-a+5\right){x}+a^{5}-5a^{3}+5a+2$ |
*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.