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Results (6 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
3703.2-a1 3703.2-a \(\Q(\sqrt{-7}) \) \( 7 \cdot 23^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.617621489$ 0.466877961 \( -\frac{70052978975990418}{548176896967} a - \frac{50872296108706911}{548176896967} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -90 a + 351\) , \( 1496 a + 394\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-90a+351\right){x}+1496a+394$
3703.2-a2 3703.2-a \(\Q(\sqrt{-7}) \) \( 7 \cdot 23^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.617621489$ 0.466877961 \( \frac{70052978975990418}{548176896967} a - \frac{120925275084697329}{548176896967} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 90 a + 261\) , \( -1496 a + 1890\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(90a+261\right){x}-1496a+1890$
3703.2-a3 3703.2-a \(\Q(\sqrt{-7}) \) \( 7 \cdot 23^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.235242978$ 0.466877961 \( \frac{2014698447}{1958887} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 26\) , \( 36\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+26{x}+36$
3703.2-a4 3703.2-a \(\Q(\sqrt{-7}) \) \( 7 \cdot 23^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $2.470485956$ 0.466877961 \( \frac{72511713}{25921} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -9\) , \( 8\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-9{x}+8$
3703.2-a5 3703.2-a \(\Q(\sqrt{-7}) \) \( 7 \cdot 23^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $4.940971913$ 0.466877961 \( \frac{5545233}{161} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -4\) , \( -2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-4{x}-2$
3703.2-a6 3703.2-a \(\Q(\sqrt{-7}) \) \( 7 \cdot 23^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $1.235242978$ 0.466877961 \( \frac{209267191953}{55223} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -124\) , \( 560\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-124{x}+560$
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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.