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Results (24 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
16200.2-a1 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.367522585$ $0.499481496$ 2.732208912 \( -\frac{35999730234}{390625} a - \frac{51700389912}{390625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -270 i - 390\) , \( 2944 i + 2592\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-270i-390\right){x}+2944i+2592$
16200.2-a2 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.367522585$ $0.499481496$ 2.732208912 \( \frac{35999730234}{390625} a - \frac{51700389912}{390625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 270 i - 390\) , \( 2944 i - 2592\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(270i-390\right){x}+2944i-2592$
16200.2-a3 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.683761292$ $0.998962993$ 2.732208912 \( \frac{237276}{625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -30\) , \( 100 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}-30{x}+100i$
16200.2-a4 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.735045170$ $0.249740748$ 2.732208912 \( -\frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 540 i - 300\) , \( -980 i - 5940\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(540i-300\right){x}-980i-5940$
16200.2-a5 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.735045170$ $0.249740748$ 2.732208912 \( \frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -540 i - 300\) , \( -980 i + 5940\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-540i-300\right){x}-980i+5940$
16200.2-a6 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.341880646$ $1.997925987$ 2.732208912 \( \frac{148176}{25} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 15\) , \( 28 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+15{x}+28i$
16200.2-a7 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.170940323$ $1.997925987$ 2.732208912 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -18\) , \( -27\bigr] \) ${y}^2={x}^{3}-18{x}-27$
16200.2-a8 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.683761292$ $0.998962993$ 2.732208912 \( \frac{132304644}{5} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 240\) , \( 1558 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+240{x}+1558i$
16200.2-a9 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.735045170$ $0.249740748$ 2.732208912 \( -\frac{15332659200009}{625} a + \frac{5763174879987}{625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 4320 i - 6240\) , \( 197524 i - 158652\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(4320i-6240\right){x}+197524i-158652$
16200.2-a10 16200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.735045170$ $0.249740748$ 2.732208912 \( \frac{15332659200009}{625} a + \frac{5763174879987}{625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -4320 i - 6240\) , \( 197524 i + 158652\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-4320i-6240\right){x}+197524i+158652$
16200.2-b1 16200.2-b \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.381839169$ $3.897418404$ 2.976374010 \( -\frac{108}{5} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 0\) , \( -2 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}-2i$
16200.2-b2 16200.2-b \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.190919584$ $1.948709202$ 2.976374010 \( \frac{3721734}{25} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 30\) , \( -50 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+30{x}-50i$
16200.2-c1 16200.2-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.255262503$ 2.042100027 \( -\frac{27995042}{1171875} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 180\) , \( 8100 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+180{x}+8100i$
16200.2-c2 16200.2-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.510525006$ 2.042100027 \( \frac{54607676}{32805} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -180\) , \( -270 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}-180{x}-270i$
16200.2-c3 16200.2-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.021050013$ 2.042100027 \( \frac{3631696}{2025} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 45\) , \( 0\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+45{x}$
16200.2-c4 16200.2-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.510525006$ 2.042100027 \( \frac{868327204}{5625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 450\) , \( 3888 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+450{x}+3888i$
16200.2-c5 16200.2-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.021050013$ 2.042100027 \( \frac{24918016}{45} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -138\) , \( -623\bigr] \) ${y}^2={x}^{3}-138{x}-623$
16200.2-c6 16200.2-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.255262503$ 2.042100027 \( \frac{1770025017602}{75} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 7200\) , \( 238788 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+7200{x}+238788i$
16200.2-d1 16200.2-d \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1.497536285$ $2.321057923$ 3.475868462 \( \frac{21296}{15} \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i - 9\) , \( -9 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i-9\right){x}-9i$
16200.2-d2 16200.2-d \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.748768142$ $1.160528961$ 3.475868462 \( \frac{470596}{225} \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 36\) , \( -18 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+36\right){x}-18i$
16200.2-d3 16200.2-d \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.374384071$ $0.580264480$ 3.475868462 \( \frac{136835858}{1875} \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 306\) , \( 2196 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+306\right){x}+2196i$
16200.2-d4 16200.2-d \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.497536285$ $0.580264480$ 3.475868462 \( \frac{546718898}{405} \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 486\) , \( -3888 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+486\right){x}-3888i$
16200.2-e1 16200.2-e \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.299139468$ 2.598278936 \( -\frac{108}{5} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 6\) , \( 64 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+6{x}+64i$
16200.2-e2 16200.2-e \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.649569734$ 2.598278936 \( \frac{3721734}{25} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 276\) , \( 1900 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+276{x}+1900i$
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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.