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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
196.1-f4 196.1-f \(\Q(\sqrt{17}) \) \( 2^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.596785169$ 1.742747801 \( \frac{259350300719862479}{368293445632} a + \frac{101438206773450931}{92073361408} \) \( \bigl[1\) , \( a\) , \( 0\) , \( -62 a - 277\) , \( -1068 a - 1207\bigr] \) ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-62a-277\right){x}-1068a-1207$
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  *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.