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Results (19 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
72.1-a4 72.1-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $3.635347017$ 0.454418377 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 6\) , \( -5 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+6\right){x}-5i$
648.1-a4 648.1-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{4} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.211782339$ 1.211782339 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 54\) , \( -122 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+54\right){x}-122i$
2304.1-c4 2304.1-c \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 3^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.817673508$ 1.817673508 \( \frac{1556068}{81} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 24\) , \( -36 i\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+24{x}-36i$
3600.1-c4 3600.1-c \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.625776610$ 1.625776610 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( -25 i - 18\) , \( 49 i + 9\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+{x}^{2}+\left(-25i-18\right){x}+49i+9$
3600.3-c4 3600.3-c \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.625776610$ 1.625776610 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( 23 i - 18\) , \( -50 i + 9\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(23i-18\right){x}-50i+9$
9216.1-c4 9216.1-c \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.141888207$ $1.285289264$ 2.752945917 \( \frac{1556068}{81} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -48 i\) , \( -72 i + 72\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}-48i{x}-72i+72$
9216.1-j4 9216.1-j \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 3^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.141888207$ $1.285289264$ 2.752945917 \( \frac{1556068}{81} \) \( \bigl[0\) , \( i - 1\) , \( 0\) , \( 48 i\) , \( 72 i + 72\bigr] \) ${y}^2={x}^{3}+\left(i-1\right){x}^{2}+48i{x}+72i+72$
20736.1-b4 20736.1-b \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 3^{4} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.158547729$ $0.605891169$ 2.615690016 \( \frac{1556068}{81} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 219\) , \( -1190 i\bigr] \) ${y}^2={x}^{3}+219{x}-1190i$
20808.1-a4 20808.1-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{2} \cdot 17^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.881701161$ 1.763402322 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( -49 i - 91\) , \( -260 i - 325\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-49i-91\right){x}-260i-325$
20808.3-a4 20808.3-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{2} \cdot 17^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.881701161$ 1.763402322 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( 49 i - 91\) , \( 260 i - 325\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(49i-91\right){x}+260i-325$
24336.1-a4 24336.1-a \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.899714244$ $1.008263852$ 3.628597400 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -74 i + 30\) , \( -10 i + 280\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-74i+30\right){x}-10i+280$
24336.3-a4 24336.3-a \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 3^{2} \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.899714244$ $1.008263852$ 3.628597400 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 74 i + 30\) , \( -10 i - 280\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(74i+30\right){x}-10i-280$
32400.1-b4 32400.1-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.541925536$ 1.083851073 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -219 i - 165\) , \( 1554 i + 407\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-219i-165\right){x}+1554i+407$
32400.3-b4 32400.3-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.541925536$ 1.083851073 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 219 i - 165\) , \( 1554 i - 407\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(219i-165\right){x}+1554i-407$
45000.3-k4 45000.3-k \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{2} \cdot 5^{4} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.187120860$ $0.727069403$ 4.353595283 \( \frac{1556068}{81} \) \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( 152\) , \( -714 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}-i{x}^{2}+152{x}-714i$
57600.1-d4 57600.1-d \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.062418350$ $0.812888305$ 3.454509811 \( \frac{1556068}{81} \) \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -98 i - 73\) , \( 493 i + 145\bigr] \) ${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-98i-73\right){x}+493i+145$
57600.3-d4 57600.3-d \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.062418350$ $0.812888305$ 3.454509811 \( \frac{1556068}{81} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 98 i - 73\) , \( -493 i + 145\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(98i-73\right){x}-493i+145$
82944.1-g4 82944.1-g \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 3^{4} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $5.550999615$ $0.428429754$ 4.756426807 \( \frac{1556068}{81} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 438 i\) , \( 2380 i + 2380\bigr] \) ${y}^2={x}^{3}+438i{x}+2380i+2380$
82944.1-n4 82944.1-n \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 3^{4} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $5.550999615$ $0.428429754$ 4.756426807 \( \frac{1556068}{81} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -438 i\) , \( -2380 i + 2380\bigr] \) ${y}^2={x}^{3}-438i{x}-2380i+2380$
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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.