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Results (14 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
14400.4-a1 14400.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.359738906$ $3.273708555$ 3.560970616 \( -\frac{25168}{15} a - \frac{452704}{45} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -5 a + 3\) , \( 2 a - 6\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-5a+3\right){x}+2a-6$
14400.4-a2 14400.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.179869453$ $3.273708555$ 3.560970616 \( \frac{25648}{25} a - \frac{106288}{75} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2 a\) , \( a - 2\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}-2a{x}+a-2$
14400.4-b1 14400.4-b \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.359738906$ $3.273708555$ 3.560970616 \( \frac{25168}{15} a - \frac{528208}{45} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 5 a - 2\) , \( -2 a - 4\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(5a-2\right){x}-2a-4$
14400.4-b2 14400.4-b \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.179869453$ $3.273708555$ 3.560970616 \( -\frac{25648}{25} a - \frac{29344}{75} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4 a - 3\) , \( -4 a + 2\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-3\right){x}-4a+2$
14400.4-c1 14400.4-c \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.177609075$ $0.382893755$ 3.678914691 \( -\frac{27995042}{1171875} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -80\) , \( -2400\bigr] \) ${y}^2={x}^{3}+{x}^{2}-80{x}-2400$
14400.4-c2 14400.4-c \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1.588804537$ $0.765787510$ 3.678914691 \( \frac{54607676}{32805} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 80\) , \( 80\bigr] \) ${y}^2={x}^{3}+{x}^{2}+80{x}+80$
14400.4-c3 14400.4-c \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $0.794402268$ $1.531575020$ 3.678914691 \( \frac{3631696}{2025} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -20\) , \( 0\bigr] \) ${y}^2={x}^{3}+{x}^{2}-20{x}$
14400.4-c4 14400.4-c \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.588804537$ $0.765787510$ 3.678914691 \( \frac{868327204}{5625} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -200\) , \( -1152\bigr] \) ${y}^2={x}^{3}+{x}^{2}-200{x}-1152$
14400.4-c5 14400.4-c \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1.588804537$ $3.063150040$ 3.678914691 \( \frac{24918016}{45} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -15\) , \( 18\bigr] \) ${y}^2={x}^{3}+{x}^{2}-15{x}+18$
14400.4-c6 14400.4-c \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.177609075$ $0.382893755$ 3.678914691 \( \frac{1770025017602}{75} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -3200\) , \( -70752\bigr] \) ${y}^2={x}^{3}+{x}^{2}-3200{x}-70752$
14400.4-d1 14400.4-d \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.885340762$ $3.481586885$ 4.660136837 \( \frac{21296}{15} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 4\) , \( 0\bigr] \) ${y}^2={x}^{3}+{x}^{2}+4{x}$
14400.4-d2 14400.4-d \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.770681524$ $1.740793442$ 4.660136837 \( \frac{470596}{225} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -16\) , \( -16\bigr] \) ${y}^2={x}^{3}+{x}^{2}-16{x}-16$
14400.4-d3 14400.4-d \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.541363048$ $0.870396721$ 4.660136837 \( \frac{136835858}{1875} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -136\) , \( 560\bigr] \) ${y}^2={x}^{3}+{x}^{2}-136{x}+560$
14400.4-d4 14400.4-d \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.541363048$ $0.870396721$ 4.660136837 \( \frac{546718898}{405} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -216\) , \( -1296\bigr] \) ${y}^2={x}^{3}+{x}^{2}-216{x}-1296$
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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.