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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
200.1-e4 200.1-e \(\Q(\sqrt{11}) \) \( 2^{3} \cdot 5^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $20.96038636$ 3.159897137 \( \frac{2105151487912}{25} a + \frac{6981998611492}{25} \) \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 57 a - 197\) , \( -336 a + 1119\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(57a-197\right){x}-336a+1119$
200.1-f4 200.1-f \(\Q(\sqrt{11}) \) \( 2^{3} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.094228095$ $2.892367717$ 3.652675910 \( \frac{2105151487912}{25} a + \frac{6981998611492}{25} \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 59 a - 201\) , \( 452 a - 1521\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(59a-201\right){x}+452a-1521$
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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.