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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
32400.8-a1 32400.8-a \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.087004188$ $0.940502312$ 4.931905256 \( -\frac{1682170624}{3796875} a + \frac{838875136}{1265625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -18 a - 21\) , \( -31 a - 114\bigr] \) ${y}^2={x}^{3}+\left(-18a-21\right){x}-31a-114$
32400.8-a2 32400.8-a \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.174008376$ $0.470251156$ 4.931905256 \( \frac{12053061104}{7381125} a + \frac{4080055984}{2460375} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 147 a - 6\) , \( -472 a - 870\bigr] \) ${y}^2={x}^{3}+\left(147a-6\right){x}-472a-870$
32400.8-b1 32400.8-b \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $2.020289811$ $0.277929287$ 5.417533725 \( -\frac{1655022038384}{140625} a - \frac{2793366883648}{46875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 12 a - 3471\) , \( 408 a - 78710\bigr] \) ${y}^2={x}^{3}+\left(12a-3471\right){x}+408a-78710$
32400.8-b2 32400.8-b \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.673429937$ $0.277929287$ 5.417533725 \( -\frac{98305328}{11390625} a - \frac{88124608}{3796875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 87 a - 126\) , \( -3632 a + 330\bigr] \) ${y}^2={x}^{3}+\left(87a-126\right){x}-3632a+330$
32400.8-b3 32400.8-b \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.010144905$ $0.555858575$ 5.417533725 \( -\frac{3602065592576}{732421875} a + \frac{1074025334528}{244140625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a - 216\) , \( 51 a - 1241\bigr] \) ${y}^2={x}^{3}+\left(-3a-216\right){x}+51a-1241$
32400.8-b4 32400.8-b \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.336714968$ $0.555858575$ 5.417533725 \( \frac{192560896}{16875} a + \frac{75137792}{5625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -3 a + 279\) , \( -1049 a + 519\bigr] \) ${y}^2={x}^{3}+\left(-3a+279\right){x}-1049a+519$
32400.8-c1 32400.8-c \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.087004188$ $0.940502312$ 4.931905256 \( \frac{1682170624}{3796875} a + \frac{834454784}{3796875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 18 a - 39\) , \( 31 a - 145\bigr] \) ${y}^2={x}^{3}+\left(18a-39\right){x}+31a-145$
32400.8-c2 32400.8-c \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.174008376$ $0.470251156$ 4.931905256 \( -\frac{12053061104}{7381125} a + \frac{24293229056}{7381125} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -147 a + 141\) , \( 472 a - 1342\bigr] \) ${y}^2={x}^{3}+\left(-147a+141\right){x}+472a-1342$
32400.8-d1 32400.8-d \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $2.020289811$ $0.277929287$ 5.417533725 \( \frac{1655022038384}{140625} a - \frac{10035122689328}{140625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -12 a - 3459\) , \( -408 a - 78302\bigr] \) ${y}^2={x}^{3}+\left(-12a-3459\right){x}-408a-78302$
32400.8-d2 32400.8-d \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.010144905$ $0.555858575$ 5.417533725 \( \frac{3602065592576}{732421875} a - \frac{379989588992}{732421875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a - 219\) , \( -51 a - 1190\bigr] \) ${y}^2={x}^{3}+\left(3a-219\right){x}-51a-1190$
32400.8-d3 32400.8-d \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.673429937$ $0.277929287$ 5.417533725 \( \frac{98305328}{11390625} a - \frac{362679152}{11390625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -87 a - 39\) , \( 3632 a - 3302\bigr] \) ${y}^2={x}^{3}+\left(-87a-39\right){x}+3632a-3302$
32400.8-d4 32400.8-d \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.336714968$ $0.555858575$ 5.417533725 \( -\frac{192560896}{16875} a + \frac{417974272}{16875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 3 a + 276\) , \( 1049 a - 530\bigr] \) ${y}^2={x}^{3}+\left(3a+276\right){x}+1049a-530$
32400.8-e1 32400.8-e \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.244324699$ $0.356838647$ 6.426144713 \( -\frac{20720464}{15625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -327\) , \( 3454\bigr] \) ${y}^2={x}^{3}-327{x}+3454$
32400.8-e2 32400.8-e \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.414774899$ $1.070515942$ 6.426144713 \( \frac{21296}{25} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 33\) , \( -74\bigr] \) ${y}^2={x}^{3}+33{x}-74$
32400.8-e3 32400.8-e \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.829549799$ $2.141031885$ 6.426144713 \( \frac{16384}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -12\) , \( -11\bigr] \) ${y}^2={x}^{3}-12{x}-11$
32400.8-e4 32400.8-e \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $2.488649399$ $0.713677295$ 6.426144713 \( \frac{488095744}{125} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -372\) , \( 2761\bigr] \) ${y}^2={x}^{3}-372{x}+2761$
32400.8-f1 32400.8-f \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.504922820$ 3.653759003 \( \frac{44279312}{18225} a + \frac{24247936}{18225} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -105 a - 102\) , \( -760 a + 226\bigr] \) ${y}^2={x}^{3}+\left(-105a-102\right){x}-760a+226$
32400.8-f2 32400.8-f \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.009845640$ 3.653759003 \( \frac{588544}{46875} a + \frac{140981504}{46875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -30 a + 33\) , \( 15 a - 101\bigr] \) ${y}^2={x}^{3}+\left(-30a+33\right){x}+15a-101$
32400.8-f3 32400.8-f \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.009845640$ 3.653759003 \( -\frac{3939584}{675} a + \frac{4495616}{675} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -15 a - 57\) , \( 59 a + 163\bigr] \) ${y}^2={x}^{3}+\left(-15a-57\right){x}+59a+163$
32400.8-f4 32400.8-f \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.504922820$ 3.653759003 \( -\frac{32967088}{140625} a + \frac{4197652096}{140625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -195 a + 213\) , \( -384 a + 2482\bigr] \) ${y}^2={x}^{3}+\left(-195a+213\right){x}-384a+2482$
32400.8-g1 32400.8-g \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.009845640$ 3.653759003 \( \frac{3939584}{675} a + \frac{185344}{225} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 15 a - 72\) , \( -59 a + 222\bigr] \) ${y}^2={x}^{3}+\left(15a-72\right){x}-59a+222$
32400.8-g2 32400.8-g \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.009845640$ 3.653759003 \( -\frac{588544}{46875} a + \frac{47190016}{15625} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 30 a + 3\) , \( -15 a - 86\bigr] \) ${y}^2={x}^{3}+\left(30a+3\right){x}-15a-86$
32400.8-g3 32400.8-g \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.504922820$ 3.653759003 \( -\frac{44279312}{18225} a + \frac{22842416}{6075} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 105 a - 207\) , \( 760 a - 534\bigr] \) ${y}^2={x}^{3}+\left(105a-207\right){x}+760a-534$
32400.8-g4 32400.8-g \(\Q(\sqrt{-11}) \) \( 2^{4} \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.504922820$ 3.653759003 \( \frac{32967088}{140625} a + \frac{1388228336}{46875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 195 a + 18\) , \( 384 a + 2098\bigr] \) ${y}^2={x}^{3}+\left(195a+18\right){x}+384a+2098$
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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.