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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
4225.2-a1 4225.2-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 13^{2} \) $2$ $\Z/2\Z$ $0.038447381$ $3.421514516$ 1.215190886 \( \frac{6967871}{4225} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 4\) , \( 1\bigr] \) ${y}^2+{x}{y}={x}^{3}+4{x}+1$
54925.2-a1 54925.2-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 13^{3} \) $0$ $\Z/2\Z$ $1$ $0.948957386$ 4.383046421 \( \frac{6967871}{4225} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( 32 a - 60\) , \( 36 a + 17\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(32a-60\right){x}+36a+17$
54925.3-a1 54925.3-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 13^{3} \) $0$ $\Z/2\Z$ $1$ $0.948957386$ 4.383046421 \( \frac{6967871}{4225} \) \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -28 a + 60\) , \( -36 a + 53\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-28a+60\right){x}-36a+53$
105625.2-e1 105625.2-e \(\Q(\sqrt{-3}) \) \( 5^{4} \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.908981164$ $0.684302903$ 5.745960314 \( \frac{6967871}{4225} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -100 a\) , \( 125\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-100a{x}+125$
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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.