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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
77.1-e3 77.1-e \(\Q(\sqrt{77}) \) \( 7 \cdot 11 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $3.428115269$ $0.266569154$ 1.666249113 \( \frac{9463555063808}{115539436859} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( 441\) , \( -15815\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}+441{x}-15815$
77.1-j3 77.1-j \(\Q(\sqrt{77}) \) \( 7 \cdot 11 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.602881548$ 1.099275660 \( \frac{9463555063808}{115539436859} \) \( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 3967 a + 15430\) , \( 1269148 a + 4933819\bigr] \) ${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3967a+15430\right){x}+1269148a+4933819$
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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.