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Results (4 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
36.1-a8 36.1-a \(\Q(\sqrt{13}) \) \( 2^{2} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $0.154213451$ 1.069277895 \( \frac{1373276865151726904870180471}{1296} a + \frac{3578143287561270870980777609}{2592} \) \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 14303 a - 40950\) , \( 1473235 a - 3675764\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(14303a-40950\right){x}+1473235a-3675764$
108.1-a8 108.1-a \(\Q(\sqrt{13}) \) \( 2^{2} \cdot 3^{3} \) $0$ $\Z/2\Z$ $1$ $0.802078487$ 1.112282735 \( \frac{1373276865151726904870180471}{1296} a + \frac{3578143287561270870980777609}{2592} \) \( \bigl[a\) , \( a\) , \( a\) , \( 16267 a - 79935\) , \( 4343002 a - 6682673\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(16267a-79935\right){x}+4343002a-6682673$
108.2-a8 108.2-a \(\Q(\sqrt{13}) \) \( 2^{2} \cdot 3^{3} \) $0$ $\Z/2\Z$ $1$ $0.200519621$ 1.112282735 \( \frac{1373276865151726904870180471}{1296} a + \frac{3578143287561270870980777609}{2592} \) \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 83861 a - 206706\) , \( -19122760 a + 43409169\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(83861a-206706\right){x}-19122760a+43409169$
324.1-f8 324.1-f \(\Q(\sqrt{13}) \) \( 2^{2} \cdot 3^{4} \) $0$ $\Z/2\Z$ $1$ $1.042921183$ 1.157017170 \( \frac{1373276865151726904870180471}{1296} a + \frac{3578143287561270870980777609}{2592} \) \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 128734 a - 368540\) , \( -39888431 a + 99263271\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(128734a-368540\right){x}-39888431a+99263271$
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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.