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Results (4 matches)

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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
448.1-d4 448.1-d \(\Q(\sqrt{21}) \) \( 2^{6} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.294122201$ $12.23735606$ 3.455836897 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -299\) , \( 1990\bigr] \) ${y}^2={x}^{3}-299{x}+1990$
448.1-e4 448.1-e \(\Q(\sqrt{21}) \) \( 2^{6} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $7.567836011$ $1.318146764$ 2.176836612 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 1495 a - 4186\) , \( 47760 a - 133330\bigr] \) ${y}^2={x}^{3}+\left(1495a-4186\right){x}+47760a-133330$
1792.1-b4 1792.1-b \(\Q(\sqrt{21}) \) \( 2^{8} \cdot 7 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1.137828769$ $12.23735606$ 3.038469349 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 1495 a - 4186\) , \( -47760 a + 133330\bigr] \) ${y}^2={x}^{3}+\left(1495a-4186\right){x}-47760a+133330$
1792.1-bm4 1792.1-bm \(\Q(\sqrt{21}) \) \( 2^{8} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $4.471352659$ $1.318146764$ 5.144616855 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -299\) , \( -1990\bigr] \) ${y}^2={x}^{3}-299{x}-1990$
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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.