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Results (7 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
3872.14-a2 3872.14-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.146127939$ $1.228922425$ 2.171994331 \( \frac{59776471}{29282} \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 24 a - 8\) , \( -18 a - 26\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(24a-8\right){x}-18a-26$
3872.5-a2 3872.5-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.146127939$ $1.228922425$ 2.171994331 \( \frac{59776471}{29282} \) \( \bigl[a\) , \( -a\) , \( 0\) , \( -24 a + 16\) , \( 18 a - 44\bigr] \) ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-24a+16\right){x}+18a-44$
5324.6-b2 5324.6-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.741068105$ 2.240779327 \( \frac{59776471}{29282} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -64 a + 8\) , \( -136 a + 138\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-64a+8\right){x}-136a+138$
5324.7-e2 5324.7-e \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.741068105$ 2.240779327 \( \frac{59776471}{29282} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 66 a - 58\) , \( 71 a + 59\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(66a-58\right){x}+71a+59$
15488.20-f3 15488.20-f \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.418339135$ $0.868979380$ 6.354298938 \( \frac{59776471}{29282} \) \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -40 a + 55\) , \( 6 a - 33\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-40a+55\right){x}+6a-33$
15488.5-f3 15488.5-f \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.418339135$ $0.868979380$ 6.354298938 \( \frac{59776471}{29282} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 40 a + 16\) , \( 10 a - 124\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(40a+16\right){x}+10a-124$
23716.5-o3 23716.5-o \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 7^{2} \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.928978033$ 5.617931086 \( \frac{59776471}{29282} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -57\) , \( 41\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-57{x}+41$
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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.