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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
228.1-h1 228.1-h \(\Q(\sqrt{57}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.275427410$ 3.939975182 \( -\frac{8078253774625}{846825858} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -418\) , \( -3610\bigr] \) ${y}^2+{x}{y}={x}^{3}-418{x}-3610$
228.1-s1 228.1-s \(\Q(\sqrt{57}) \) \( 2^{2} \cdot 3 \cdot 19 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $2.129702711$ $2.380767667$ 0.895441686 \( -\frac{8078253774625}{846825858} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -5049692 a - 16537318\) , \( 13049407660 a + 42735729826\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-5049692a-16537318\right){x}+13049407660a+42735729826$
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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.