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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
76.1-a1 76.1-a \(\Q(\sqrt{19}) \) \( 2^{2} \cdot 19 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $5.276507669$ $2.466064026$ 5.970409463 \( -\frac{4194304}{19} \) \( \bigl[0\) , \( -1\) , \( a + 1\) , \( 70720 a - 308261\) , \( 21432885 a - 93423787\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(70720a-308261\right){x}+21432885a-93423787$
76.1-b1 76.1-b \(\Q(\sqrt{19}) \) \( 2^{2} \cdot 19 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.022894124$ $37.85217514$ 2.385719235 \( -\frac{4194304}{19} \) \( \bigl[0\) , \( 1\) , \( a + 1\) , \( 70720 a - 308261\) , \( -21432886 a + 93423777\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(70720a-308261\right){x}-21432886a+93423777$
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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.