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Results (8 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
400.3-a3 400.3-a \(\Q(\sqrt{-7}) \) \( 2^{4} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $6.423095656$ 1.213850982 \( \frac{16384}{5} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2={x}^{3}+{x}^{2}-{x}$
6400.3-a3 6400.3-a \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.541814495$ 1.716644522 \( \frac{16384}{5} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -a + 2\) , \( 0\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-a+2\right){x}$
6400.5-a3 6400.5-a \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $6.423095656$ 1.213850982 \( \frac{16384}{5} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2={x}^{3}-{x}^{2}-{x}$
6400.7-a3 6400.7-a \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.541814495$ 1.716644522 \( \frac{16384}{5} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( a + 1\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(a+1\right){x}$
10000.3-a3 10000.3-a \(\Q(\sqrt{-7}) \) \( 2^{4} \cdot 5^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.694375181$ $1.284619131$ 3.290750365 \( \frac{16384}{5} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -33\) , \( 62\bigr] \) ${y}^2={x}^{3}-{x}^{2}-33{x}+62$
25600.5-n3 25600.5-n \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.490198062$ $4.541814495$ 5.116280683 \( \frac{16384}{5} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -a + 2\) , \( 0\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-a+2\right){x}$
25600.7-n3 25600.7-n \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.490198062$ $4.541814495$ 5.116280683 \( \frac{16384}{5} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( a + 1\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(a+1\right){x}$
32400.3-a3 32400.3-a \(\Q(\sqrt{-7}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.141031885$ 1.618467976 \( \frac{16384}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -12\) , \( -11\bigr] \) ${y}^2={x}^{3}-12{x}-11$
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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.