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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
30.1-a4 30.1-a \(\Q(\sqrt{30}) \) \( 2 \cdot 3 \cdot 5 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $5.367489134$ 0.979964958 \( \frac{35578826569}{5314410} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 12064 a - 66030\) , \( -1449060 a + 7936890\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(12064a-66030\right){x}-1449060a+7936890$
30.1-d4 30.1-d \(\Q(\sqrt{30}) \) \( 2 \cdot 3 \cdot 5 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $5.016745697$ $2.808889283$ 5.145482154 \( \frac{35578826569}{5314410} \) \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -3013 a - 16501\) , \( -193189 a - 1058137\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-3013a-16501\right){x}-193189a-1058137$
30.1-i4 30.1-i \(\Q(\sqrt{30}) \) \( 2 \cdot 3 \cdot 5 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.693773937$ $2.808889283$ 2.316317946 \( \frac{35578826569}{5314410} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -69\) , \( -194\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-69{x}-194$
30.1-l4 30.1-l \(\Q(\sqrt{30}) \) \( 2 \cdot 3 \cdot 5 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $5.367489134$ 2.939894875 \( \frac{35578826569}{5314410} \) \( \bigl[a\) , \( 1\) , \( a\) , \( -265\) , \( 743\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-265{x}+743$
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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.