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Download displayed columns for resultsLabel | Class | Base field | Conductor norm | Rank | Torsion | CM | Sato-Tate | Weierstrass equation |
---|---|---|---|---|---|---|---|---|
12675.2-b5 | 12675.2-b | \(\Q(\sqrt{-3}) \) | \( 3 \cdot 5^{2} \cdot 13^{2} \) | $1$ | $\Z/2\Z\oplus\Z/4\Z$ | $\mathrm{SU}(2)$ | ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-520a+520\right){x}-4225$ |
*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.