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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
75.1-a2 75.1-a \(\Q(\sqrt{93}) \) \( 3 \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $10.19195692$ 2.113713401 \( -\frac{1}{15} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -4 a + 4\) , \( -472 a - 2021\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+4\right){x}-472a-2021$
75.1-b2 75.1-b \(\Q(\sqrt{93}) \) \( 3 \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.465628331$ $31.38702211$ 2.006209393 \( -\frac{1}{15} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$
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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.