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Results (17 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
98000.3-a1 98000.3-a \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.408807199$ 1.635228796 \( -\frac{30211716096}{1071875} \) \( \bigl[0\) , \( 0\) , \( i + 1\) , \( 412 i - 309\) , \( -4560 i + 829\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(412i-309\right){x}-4560i+829$
98000.3-b1 98000.3-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.179301087$ 2.358602174 \( -\frac{25191424}{21875} a + \frac{52359168}{21875} \) \( \bigl[0\) , \( i + 1\) , \( i + 1\) , \( 11 i + 36\) , \( 77 i + 1\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(11i+36\right){x}+77i+1$
98000.3-c1 98000.3-c \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.647958766$ 2.647958766 \( \frac{95935712}{175} a - \frac{64291184}{175} \) \( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 18 i + 10\) , \( 5 i - 37\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+{x}^{2}+\left(18i+10\right){x}+5i-37$
98000.3-c2 98000.3-c \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.647958766$ 2.647958766 \( \frac{116736}{245} a + \frac{299008}{245} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -4 i - 4\) , \( 6 i - 3\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-4i-4\right){x}+6i-3$
98000.3-d1 98000.3-d \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.502073263$ 1.004146527 \( \frac{2040723769344}{341796875} a - \frac{423142340608}{341796875} \) \( \bigl[0\) , \( -i - 1\) , \( i + 1\) , \( -229 i + 91\) , \( 188 i - 1663\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-229i+91\right){x}+188i-1663$
98000.3-e1 98000.3-e \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.156757163$ $0.534370180$ 4.945092273 \( -\frac{225637236736}{1715} \) \( \bigl[0\) , \( i + 1\) , \( i + 1\) , \( 806 i - 604\) , \( 12162 i - 2669\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(806i-604\right){x}+12162i-2669$
98000.3-e2 98000.3-e \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.385585721$ $1.603110541$ 4.945092273 \( -\frac{65536}{875} \) \( \bigl[0\) , \( i + 1\) , \( i + 1\) , \( 6 i - 4\) , \( 32 i - 9\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(6i-4\right){x}+32i-9$
98000.3-f1 98000.3-f \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.748684016$ 1.497368032 \( \frac{14155776}{84035} \) \( \bigl[0\) , \( 0\) , \( i + 1\) , \( -32 i + 24\) , \( -292 i + 53\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(-32i+24\right){x}-292i+53$
98000.3-g1 98000.3-g \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.293571801$ $4.202879954$ 4.935388156 \( -\frac{149504}{35} a - \frac{264192}{35} \) \( \bigl[0\) , \( i\) , \( i + 1\) , \( 3 i + 2\) , \( i - 4\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(3i+2\right){x}+i-4$
98000.3-h1 98000.3-h \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.526913406$ $2.748597166$ 5.793090781 \( -\frac{1024}{35} \) \( \bigl[0\) , \( -i - 1\) , \( i + 1\) , \( 2 i - 1\) , \( -7 i + 2\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(2i-1\right){x}-7i+2$
98000.3-i1 98000.3-i \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.173289723$ 3.119215019 \( -\frac{250523582464}{13671875} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( 2102 i - 1576\) , \( 53504 i - 10922\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(2102i-1576\right){x}+53504i-10922$
98000.3-i2 98000.3-i \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.559607509$ 3.119215019 \( -\frac{262144}{35} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( 22 i - 16\) , \( -56 i - 2\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(22i-16\right){x}-56i-2$
98000.3-i3 98000.3-i \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.519869169$ 3.119215019 \( \frac{71991296}{42875} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -138 i + 104\) , \( 136 i + 54\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-138i+104\right){x}+136i+54$
98000.3-j1 98000.3-j \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.827333732$ 3.309334931 \( \frac{1367631}{2800} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -37 i + 27\) , \( -176 i + 53\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-37i+27\right){x}-176i+53$
98000.3-j2 98000.3-j \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.413666866$ 3.309334931 \( \frac{611960049}{122500} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 283 i - 213\) , \( -2144 i + 229\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(283i-213\right){x}-2144i+229$
98000.3-j3 98000.3-j \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.206833433$ 3.309334931 \( \frac{74565301329}{5468750} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 1403 i - 1053\) , \( 25464 i - 5427\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(1403i-1053\right){x}+25464i-5427$
98000.3-j4 98000.3-j \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{3} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.206833433$ 3.309334931 \( \frac{2121328796049}{120050} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 4283 i - 3213\) , \( -149944 i + 24829\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(4283i-3213\right){x}-149944i+24829$
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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.