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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-a3 75.1-a \(\Q(\sqrt{93}) \) \( 3 \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.547989231$ 2.113713401 \( \frac{4733169839}{3515625} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 3041 a + 13164\) , \( 107608 a + 465082\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3041a+13164\right){x}+107608a+465082$
75.1-b3 75.1-b \(\Q(\sqrt{93}) \) \( 3 \cdot 5^{2} \) $1$ $\Z/8\Z$ $\mathrm{SU}(2)$ $19.72502665$ $1.961688882$ 2.006209393 \( \frac{4733169839}{3515625} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$
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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.