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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
10404.5-d3 10404.5-d \(\Q(\sqrt{-2}) \) \( 2^{2} \cdot 3^{2} \cdot 17^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.522098751$ 2.152572697 \( \frac{4501995680}{6765201} a + \frac{3926605616}{6765201} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 2 a + 17\) , \( 15 a - 39\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+17\right){x}+15a-39$
41616.5-p3 41616.5-p \(\Q(\sqrt{-2}) \) \( 2^{4} \cdot 3^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.413794733$ $1.522098751$ 5.195868640 \( \frac{4501995680}{6765201} a + \frac{3926605616}{6765201} \) \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 4 a + 18\) , \( -18 a + 23\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a+18\right){x}-18a+23$
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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.