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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
600.1-o1 600.1-o \(\Q(\sqrt{6}) \) \( 2^{3} \cdot 3 \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.520929017$ $5.822038123$ 3.615000532 \( -\frac{1705382858958144777649}{15} a + 278487854702414976744 \) \( \bigl[a\) , \( 1\) , \( a\) , \( 2450 a - 6801\) , \( -109970 a + 277443\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2450a-6801\right){x}-109970a+277443$
600.1-p1 600.1-p \(\Q(\sqrt{6}) \) \( 2^{3} \cdot 3 \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.201451965$ 2.631757453 \( -\frac{1705382858958144777649}{15} a + 278487854702414976744 \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -15950 a - 39200\) , \( -1756612 a - 4303380\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-15950a-39200\right){x}-1756612a-4303380$
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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.