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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
3721.1-a1 3721.1-a \(\Q(\sqrt{2}) \) \( 61^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.079187731$ $37.61605819$ 2.106280402 \( -\frac{912673}{61} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) ${y}^2+{x}{y}={x}^{3}-2{x}+1$
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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.