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Results (16 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
61250.3-a1 61250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.739989786$ 1.479979573 \( \frac{1367631}{2800} \) \( \bigl[i\) , \( 1\) , \( 0\) , \( 58\) , \( 284\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}+58{x}+284$
61250.3-a2 61250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.369994893$ 1.479979573 \( \frac{611960049}{122500} \) \( \bigl[i\) , \( 1\) , \( 0\) , \( -442\) , \( 2784\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-442{x}+2784$
61250.3-a3 61250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.184997446$ 1.479979573 \( \frac{74565301329}{5468750} \) \( \bigl[i\) , \( 1\) , \( 0\) , \( -2192\) , \( -37466\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-2192{x}-37466$
61250.3-a4 61250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.184997446$ 1.479979573 \( \frac{2121328796049}{120050} \) \( \bigl[i\) , \( 1\) , \( 0\) , \( -6692\) , \( 209034\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-6692{x}+209034$
61250.3-b1 61250.3-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $0.091961238$ $0.995740051$ 4.395335429 \( -\frac{417267265}{235298} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( -45\) , \( 185\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}-45{x}+185$
61250.3-b2 61250.3-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $0.091961238$ $2.987220153$ 4.395335429 \( \frac{397535}{392} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( 5\) , \( -5\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}+5{x}-5$
61250.3-c1 61250.3-c \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $0.124475760$ 1.991612160 \( -\frac{1026590625}{100352} \) \( \bigl[i\) , \( 1\) , \( 0\) , \( -4492\) , \( -126416\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}-4492{x}-126416$
61250.3-d1 61250.3-d \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.331707279$ $0.199148010$ 6.364964516 \( -\frac{417267265}{235298} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -1138\) , \( 20858\bigr] \) ${y}^2+i{x}{y}={x}^{3}-1138{x}+20858$
61250.3-d2 61250.3-d \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/3\Z$ $0.443902426$ $0.597444030$ 6.364964516 \( \frac{397535}{392} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( 112\) , \( -392\bigr] \) ${y}^2+i{x}{y}={x}^{3}+112{x}-392$
61250.3-e1 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.513635302$ $0.175083427$ 6.474890094 \( -\frac{548347731625}{1835008} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -4262\) , \( 109219\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-4262{x}+109219$
61250.3-e2 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.513635302$ $1.575750843$ 6.474890094 \( -\frac{15625}{28} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -12\) , \( -31\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-12{x}-31$
61250.3-e3 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.171211767$ $0.525250281$ 6.474890094 \( \frac{9938375}{21952} \) \( \bigl[i\) , \( -1\) , \( i\) , \( 113\) , \( 719\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+113{x}+719$
61250.3-e4 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.342423535$ $0.262625140$ 6.474890094 \( \frac{4956477625}{941192} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -887\) , \( 8719\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-887{x}+8719$
61250.3-e5 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.027270605$ $0.787875421$ 6.474890094 \( \frac{128787625}{98} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -262\) , \( -1531\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-262{x}-1531$
61250.3-e6 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.027270605$ $0.087541713$ 6.474890094 \( \frac{2251439055699625}{25088} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -68262\) , \( 6893219\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-68262{x}+6893219$
61250.3-f1 61250.3-f \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.012846808$ $0.622378800$ 6.332500309 \( -\frac{1026590625}{100352} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -179\) , \( -1047\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-179{x}-1047$
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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.