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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
1452.1-h2 1452.1-h \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $2.444595345$ 2.133817754 \( \frac{9938375}{176418} \) \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -23 a + 62\) , \( 463 a - 1295\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-23a+62\right){x}+463a-1295$
1452.1-j2 1452.1-j \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 11^{2} \) $1$ $\Z/6\Z$ $3.264044740$ $5.718193122$ 5.430552431 \( \frac{9938375}{176418} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( 20\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+4{x}+20$
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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.