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Results (8 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
6400.1-c1 6400.1-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.261119886$ $3.375263347$ 2.035386900 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 1\) , \( 4 a - 2\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}+4a-2$
6400.1-e1 6400.1-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.261119886$ $3.375263347$ 2.035386900 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -a\) , \( -4 a + 2\bigr] \) ${y}^2={x}^{3}-a{x}-4a+2$
14400.1-e1 14400.1-e \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $1.948709202$ 2.250175564 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3\) , \( -18\bigr] \) ${y}^2={x}^{3}-3{x}-18$
57600.1-e1 57600.1-e \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.381839169$ $1.948709202$ 3.436820672 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3\) , \( 18\bigr] \) ${y}^2={x}^{3}-3{x}+18$
78400.1-b1 78400.1-b \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.180292041$ $1.275729632$ 3.477342639 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a - 8\) , \( 40 a - 74\bigr] \) ${y}^2={x}^{3}+\left(3a-8\right){x}+40a-74$
78400.3-b1 78400.3-b \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.180292041$ $1.275729632$ 3.477342639 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a - 5\) , \( -40 a - 34\bigr] \) ${y}^2={x}^{3}+\left(-3a-5\right){x}-40a-34$
102400.1-j1 102400.1-j \(\Q(\sqrt{-3}) \) \( 2^{12} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $1.687631673$ 1.948709202 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 4\) , \( 32 a - 16\bigr] \) ${y}^2={x}^{3}+4{x}+32a-16$
102400.1-m1 102400.1-m \(\Q(\sqrt{-3}) \) \( 2^{12} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $1.687631673$ 1.948709202 \( -\frac{108}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -4 a\) , \( -32 a + 16\bigr] \) ${y}^2={x}^{3}-4a{x}-32a+16$
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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.