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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
300.1-g6 300.1-g \(\Q(\sqrt{33}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $5.367489134$ 5.606159561 \( \frac{4102915888729}{9000000} \) \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 122736 a - 413897\) , \( -39525706 a + 133291793\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(122736a-413897\right){x}-39525706a+133291793$
300.1-h6 300.1-h \(\Q(\sqrt{33}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.248395236$ 1.303906299 \( \frac{4102915888729}{9000000} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -334\) , \( -2368\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-334{x}-2368$
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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.