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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
9.1-b2 9.1-b \(\Q(\sqrt{94}) \) \( 3^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $7.475223809$ $2.418193004$ 2.796678172 \( \frac{398380856143381357}{1853020188851841} a + \frac{7389093490087076657}{1853020188851841} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -123 a - 1167\) , \( 1585 a + 15352\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-123a-1167\right){x}+1585a+15352$
9.1-e2 9.1-e \(\Q(\sqrt{94}) \) \( 3^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $8.694191275$ $1.924242802$ 2.588310615 \( \frac{398380856143381357}{1853020188851841} a + \frac{7389093490087076657}{1853020188851841} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 14391315024746 a - 139528975934367\) , \( -28074311605273920314 a + 272190549759431737888\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14391315024746a-139528975934367\right){x}-28074311605273920314a+272190549759431737888$
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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.