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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
2268.1-h1 2268.1-h \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3^{4} \cdot 7 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $1.618609852$ $10.53442194$ 4.961145663 \( -\frac{545407363875}{14} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -1062\) , \( 13590\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-1062{x}+13590$
2268.1-k1 2268.1-k \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3^{4} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.350635247$ 1.025901328 \( -\frac{545407363875}{14} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -354 a - 708\) , \( -6040 a - 10570\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-354a-708\right){x}-6040a-10570$
2268.1-v1 2268.1-v \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3^{4} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $3.818486457$ $0.174839084$ 5.244723915 \( -\frac{545407363875}{14} \) \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 5310 a - 14868\) , \( 326160 a - 910530\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(5310a-14868\right){x}+326160a-910530$
2268.1-x1 2268.1-x \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3^{4} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.350635247$ 1.025901328 \( -\frac{545407363875}{14} \) \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 354 a - 1062\) , \( 6040 a - 16610\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(354a-1062\right){x}+6040a-16610$
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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.