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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
27900.2-b1 27900.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.316203733$ 2.920964966 \( \frac{507226797683}{242187500} a + \frac{309491975847}{605468750} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 258 a - 579\) , \( 1203 a - 4041\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(258a-579\right){x}+1203a-4041$
96100.3-a1 96100.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{2} \cdot 31^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.498448154$ $0.098366399$ 3.403986729 \( \frac{507226797683}{242187500} a + \frac{309491975847}{605468750} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 5809 a - 1609\) , \( -101245 a - 36864\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(5809a-1609\right){x}-101245a-36864$
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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.