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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
1.1-a1 1.1-a \(\Q(\sqrt{461}) \) \( 1 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $44.00361906$ 2.049452861 \( -142155 a - 1453356 \) \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 8 a + 248\) , \( 21 a + 627\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(8a+248\right){x}+21a+627$
1.1-a2 1.1-a \(\Q(\sqrt{461}) \) \( 1 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $44.00361906$ 2.049452861 \( 142155 a - 1595511 \) \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -7 a + 140\) , \( -14 a + 393\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a+140\right){x}-14a+393$
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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.