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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
92.1-a1 92.1-a \(\Q(\sqrt{69}) \) \( 2^{2} \cdot 23 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.747176977$ 4.206707818 \( -\frac{116930169}{23552} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -10\) , \( -12\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-10{x}-12$
92.1-d1 92.1-d \(\Q(\sqrt{69}) \) \( 2^{2} \cdot 23 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.099030484$ $13.22648541$ 1.576844304 \( -\frac{116930169}{23552} \) \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 766 a - 3546\) , \( -26752 a + 124504\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(766a-3546\right){x}-26752a+124504$
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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.