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Results (26 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
5184.3-a1 5184.3-a \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.527579106$ $0.754285841$ 1.919761085 \( -\frac{1688800}{729} a + \frac{3105712}{729} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 57 a - 75\) , \( 220 a - 10\bigr] \) ${y}^2={x}^{3}+\left(57a-75\right){x}+220a-10$
5184.3-a2 5184.3-a \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.263789553$ $1.508571683$ 1.919761085 \( \frac{151552}{27} a + \frac{63488}{27} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 12 a - 30\) , \( -32 a + 53\bigr] \) ${y}^2={x}^{3}+\left(12a-30\right){x}-32a+53$
5184.3-b1 5184.3-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.018351902$ 1.228178605 \( \frac{868}{27} a - \frac{856}{27} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a - 3\) , \( -72 a - 2\bigr] \) ${y}^2={x}^{3}+\left(9a-3\right){x}-72a-2$
5184.3-b2 5184.3-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.509175951$ 1.228178605 \( \frac{18321686}{729} a - \frac{567362}{729} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a + 357\) , \( -1584 a + 1006\bigr] \) ${y}^2={x}^{3}+\left(9a+357\right){x}-1584a+1006$
5184.3-c1 5184.3-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.527579106$ $0.754285841$ 1.919761085 \( \frac{1688800}{729} a + \frac{472304}{243} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -57 a - 18\) , \( -220 a + 210\bigr] \) ${y}^2={x}^{3}+\left(-57a-18\right){x}-220a+210$
5184.3-c2 5184.3-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.263789553$ $1.508571683$ 1.919761085 \( -\frac{151552}{27} a + \frac{71680}{9} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -12 a - 18\) , \( 32 a + 21\bigr] \) ${y}^2={x}^{3}+\left(-12a-18\right){x}+32a+21$
5184.3-d1 5184.3-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.408164878$ 1.698310743 \( 2916 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 9 a - 27\) , \( -16 a + 30\bigr] \) ${y}^2={x}^{3}+\left(9a-27\right){x}-16a+30$
5184.3-d2 5184.3-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.704082439$ 1.698310743 \( 4293378 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 129 a - 387\) , \( -1360 a + 2550\bigr] \) ${y}^2={x}^{3}+\left(129a-387\right){x}-1360a+2550$
5184.3-e1 5184.3-e \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.018351902$ 1.228178605 \( -\frac{868}{27} a + \frac{4}{9} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a + 6\) , \( 72 a - 74\bigr] \) ${y}^2={x}^{3}+\left(-9a+6\right){x}+72a-74$
5184.3-e2 5184.3-e \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.509175951$ 1.228178605 \( -\frac{18321686}{729} a + \frac{5918108}{243} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a + 366\) , \( 1584 a - 578\bigr] \) ${y}^2={x}^{3}+\left(-9a+366\right){x}+1584a-578$
5184.3-f1 5184.3-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.604802859$ $1.509372256$ 4.403863396 \( \frac{74896}{243} a + \frac{333536}{243} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 12 a - 3\) , \( 12 a - 2\bigr] \) ${y}^2={x}^{3}+\left(12a-3\right){x}+12a-2$
5184.3-f2 5184.3-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.209605719$ $0.754686128$ 4.403863396 \( -\frac{20798116}{59049} a + \frac{115993444}{59049} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -48 a - 3\) , \( 96 a - 2\bigr] \) ${y}^2={x}^{3}+\left(-48a-3\right){x}+96a-2$
5184.3-g1 5184.3-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.101491900$ 2.656898432 \( -\frac{901156}{9} a - \frac{2237696}{9} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -63 a - 3\) , \( -256 a + 262\bigr] \) ${y}^2={x}^{3}+\left(-63a-3\right){x}-256a+262$
5184.3-g2 5184.3-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.202983801$ 2.656898432 \( \frac{496}{3} a + \frac{1136}{3} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a - 3\) , \( -4 a + 10\bigr] \) ${y}^2={x}^{3}+\left(-3a-3\right){x}-4a+10$
5184.3-h1 5184.3-h \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.408164878$ 1.698310743 \( 2916 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -9 a - 18\) , \( 16 a + 14\bigr] \) ${y}^2={x}^{3}+\left(-9a-18\right){x}+16a+14$
5184.3-h2 5184.3-h \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.704082439$ 1.698310743 \( 4293378 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -129 a - 258\) , \( 1360 a + 1190\bigr] \) ${y}^2={x}^{3}+\left(-129a-258\right){x}+1360a+1190$
5184.3-i1 5184.3-i \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.604802859$ $1.509372256$ 4.403863396 \( -\frac{74896}{243} a + \frac{136144}{81} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -12 a + 9\) , \( -12 a + 10\bigr] \) ${y}^2={x}^{3}+\left(-12a+9\right){x}-12a+10$
5184.3-i2 5184.3-i \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.209605719$ $0.754686128$ 4.403863396 \( \frac{20798116}{59049} a + \frac{31731776}{19683} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 48 a - 51\) , \( -96 a + 94\bigr] \) ${y}^2={x}^{3}+\left(48a-51\right){x}-96a+94$
5184.3-j1 5184.3-j \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.101491900$ 2.656898432 \( \frac{901156}{9} a - \frac{1046284}{3} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 63 a - 66\) , \( 256 a + 6\bigr] \) ${y}^2={x}^{3}+\left(63a-66\right){x}+256a+6$
5184.3-j2 5184.3-j \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.202983801$ 2.656898432 \( -\frac{496}{3} a + 544 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a - 6\) , \( 4 a + 6\bigr] \) ${y}^2={x}^{3}+\left(3a-6\right){x}+4a+6$
5184.3-k1 5184.3-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.302945584$ 2.922928979 \( \frac{207646}{6561} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 141\) , \( 4718\bigr] \) ${y}^2={x}^{3}+141{x}+4718$
5184.3-k2 5184.3-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $2.423564678$ 2.922928979 \( \frac{2048}{3} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -7\bigr] \) ${y}^2={x}^{3}+6{x}-7$
5184.3-k3 5184.3-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.211782339$ 2.922928979 \( \frac{35152}{9} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -39\) , \( -70\bigr] \) ${y}^2={x}^{3}-39{x}-70$
5184.3-k4 5184.3-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.605891169$ 2.922928979 \( \frac{1556068}{81} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -219\) , \( 1190\bigr] \) ${y}^2={x}^{3}-219{x}+1190$
5184.3-k5 5184.3-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.605891169$ 2.922928979 \( \frac{28756228}{3} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -579\) , \( -5362\bigr] \) ${y}^2={x}^{3}-579{x}-5362$
5184.3-k6 5184.3-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.302945584$ 2.922928979 \( \frac{3065617154}{9} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3459\) , \( 78302\bigr] \) ${y}^2={x}^{3}-3459{x}+78302$
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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.