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Results (4 matches)

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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
1.1-a1 1.1-a \(\Q(\sqrt{102}) \) \( 1 \) $2$ $\Z/2\Z$ $-8$ $N(\mathrm{U}(1))$ $0.888354437$ $50.75994773$ 2.232427484 \( 8000 \) \( \bigl[a\) , \( 0\) , \( 1\) , \( 1530112 a - 15453162\) , \( 2912059458 a - 29410358263\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(1530112a-15453162\right){x}+2912059458a-29410358263$
1.1-a2 1.1-a \(\Q(\sqrt{102}) \) \( 1 \) $2$ $\Z/2\Z$ $-8$ $N(\mathrm{U}(1))$ $0.888354437$ $50.75994773$ 2.232427484 \( 8000 \) \( \bigl[a\) , \( 0\) , \( 1\) , \( 37 a - 162\) , \( -33 a + 947\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(37a-162\right){x}-33a+947$
1.1-b1 1.1-b \(\Q(\sqrt{102}) \) \( 1 \) 0 $\Z/2\Z$ $-8$ $N(\mathrm{U}(1))$ $1$ $50.75994773$ 2.512991876 \( 8000 \) \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -21 a + 141\) , \( -104 a + 463\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-21a+141\right){x}-104a+463$
1.1-b2 1.1-b \(\Q(\sqrt{102}) \) \( 1 \) 0 $\Z/2\Z$ $-8$ $N(\mathrm{U}(1))$ $1$ $50.75994773$ 2.512991876 \( 8000 \) \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( 20 a + 141\) , \( 103 a + 463\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(20a+141\right){x}+103a+463$
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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.