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The results below are complete, since the LMFDB contains all elliptic curves with conductor norm at most 50000 over imaginary quadratic fields with absolute discriminant 11

Note: The completeness Only modular elliptic curves are included

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Results (1-50 of 68 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
14400.4-a1 14400.4-a \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.133051035$ $1.689161918$ 4.336837740 \( -\frac{1741520}{81} a - \frac{1052464}{27} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -4 a - 32\) , \( -12 a - 60\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-4a-32\right){x}-12a-60$
14400.4-a2 14400.4-a \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.133051035$ $3.378323837$ 4.336837740 \( -\frac{14080}{81} a + \frac{22528}{81} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( a - 2\) , \( -2 a\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(a-2\right){x}-2a$
14400.4-b1 14400.4-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.194163255$ $0.316604361$ 3.647826997 \( -\frac{1241463394912}{31640625} a - \frac{713318339344}{3515625} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 312 a + 984\) , \( -8388 a + 14004\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(312a+984\right){x}-8388a+14004$
14400.4-b2 14400.4-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $4.776653023$ $0.316604361$ 3.647826997 \( \frac{489773228672}{13286025} a - \frac{2561132360624}{13286025} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 707 a - 71\) , \( -4329 a - 12627\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(707a-71\right){x}-4329a-12627$
14400.4-b3 14400.4-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.388326511$ $0.158302180$ 3.647826997 \( -\frac{17981916308336}{1412147682405} a + \frac{703513161816692}{1412147682405} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 727 a - 751\) , \( 4475 a - 28463\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(727a-751\right){x}+4475a-28463$
14400.4-b4 14400.4-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.388326511$ $0.633208723$ 3.647826997 \( -\frac{134930432}{4100625} a + \frac{1086261248}{1366875} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 42 a + 39\) , \( -234 a + 18\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(42a+39\right){x}-234a+18$
14400.4-b5 14400.4-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.194163255$ $0.316604361$ 3.647826997 \( \frac{127513286368}{1076168025} a + \frac{1239408060848}{358722675} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -263 a - 216\) , \( -2055 a + 432\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-263a-216\right){x}-2055a+432$
14400.4-b6 14400.4-b \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $9.553306047$ $0.158302180$ 3.647826997 \( -\frac{47050747084816}{3645} a + \frac{121633762440892}{3645} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 11327 a - 1151\) , \( -264573 a - 807831\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(11327a-1151\right){x}-264573a-807831$
14400.4-c1 14400.4-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.982322010$ $1.793967266$ 4.250715456 \( \frac{3110144}{45} a - \frac{1520128}{45} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -13 a + 34\) , \( 30 a + 42\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-13a+34\right){x}+30a+42$
14400.4-c2 14400.4-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.964644021$ $0.896983633$ 4.250715456 \( -\frac{152656}{675} a + \frac{3018256}{2025} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -28 a + 44\) , \( 56 a - 92\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-28a+44\right){x}+56a-92$
14400.4-c3 14400.4-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $3.929288043$ $0.448491816$ 4.250715456 \( \frac{1290496508}{4100625} a + \frac{7699450264}{4100625} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 112 a - 216\) , \( 336 a - 612\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(112a-216\right){x}+336a-612$
14400.4-c4 14400.4-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.982322010$ $0.448491816$ 4.250715456 \( -\frac{11676382636}{32805} a + \frac{483145864}{10935} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -408 a + 464\) , \( 1200 a - 7988\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-408a+464\right){x}+1200a-7988$
14400.4-c5 14400.4-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $7.858576086$ $0.224245908$ 4.250715456 \( -\frac{25259929385062}{1076168025} a + \frac{59380826276854}{1076168025} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 1032 a - 1496\) , \( -20448 a + 10044\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(1032a-1496\right){x}-20448a+10044$
14400.4-c6 14400.4-c \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $7.858576086$ $0.224245908$ 4.250715456 \( \frac{26459826384118}{31640625} a + \frac{17079197896394}{31640625} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 1432 a - 3096\) , \( 41280 a - 48708\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(1432a-3096\right){x}+41280a-48708$
14400.4-d1 14400.4-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.387914197$ $0.591499953$ 4.427657523 \( \frac{299100736}{2657205} a + \frac{4333937168}{2657205} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4 a - 136\) , \( 128 a + 148\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-136\right){x}+128a+148$
14400.4-d2 14400.4-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.775828395$ $1.182999906$ 4.427657523 \( -\frac{2117632}{18225} a + \frac{32978944}{18225} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -a + 34\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a+34\right){x}$
14400.4-d3 14400.4-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $1.551656790$ $0.591499953$ 4.427657523 \( \frac{1522356704}{32805} a + \frac{821001424}{10935} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a + 319\) , \( -1455 a + 720\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(9a+319\right){x}-1455a+720$
14400.4-d4 14400.4-d \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.551656790$ $0.591499953$ 4.427657523 \( -\frac{4735750624}{16875} a + \frac{10574455408}{16875} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -46 a + 439\) , \( 1827 a - 243\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-46a+439\right){x}+1827a-243$
14400.4-e1 14400.4-e \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.099445781$ 1.988972255 \( -\frac{10213168}{675} a - \frac{801248}{225} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 29 a + 39\) , \( -103 a + 252\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(29a+39\right){x}-103a+252$
14400.4-e2 14400.4-e \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.549722890$ 1.988972255 \( -\frac{54510092}{455625} a - \frac{12205012}{151875} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -31 a + 79\) , \( 45 a + 720\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-31a+79\right){x}+45a+720$
14400.4-e3 14400.4-e \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.274861445$ 1.988972255 \( \frac{84522437194}{13286025} a + \frac{3889424684}{4428675} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -151 a - 841\) , \( 3437 a + 8392\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-151a-841\right){x}+3437a+8392$
14400.4-e4 14400.4-e \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.274861445$ 1.988972255 \( \frac{2323817506786}{10546875} a + \frac{871102040396}{3515625} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -871 a + 1639\) , \( 4845 a + 26520\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-871a+1639\right){x}+4845a+26520$
14400.4-f1 14400.4-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.406444152$ 1.960760367 \( \frac{207646}{6561} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 48 a - 32\) , \( -720 a + 1980\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(48a-32\right){x}-720a+1980$
14400.4-f2 14400.4-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.251553221$ 1.960760367 \( \frac{2048}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 3 a - 2\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a-2\right){x}$
14400.4-f3 14400.4-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.625776610$ 1.960760367 \( \frac{35152}{9} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -12 a + 8\) , \( 16 a - 44\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-12a+8\right){x}+16a-44$
14400.4-f4 14400.4-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.812888305$ 1.960760367 \( \frac{1556068}{81} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -72 a + 48\) , \( -144 a + 396\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-72a+48\right){x}-144a+396$
14400.4-f5 14400.4-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.812888305$ 1.960760367 \( \frac{28756228}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -192 a + 128\) , \( 880 a - 2420\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192a+128\right){x}+880a-2420$
14400.4-f6 14400.4-f \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.406444152$ 1.960760367 \( \frac{3065617154}{9} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -1152 a + 768\) , \( -11088 a + 30492\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1152a+768\right){x}-11088a+30492$
14400.4-g1 14400.4-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.303511768$ 2.928391727 \( \frac{354528979184}{215233605} a - \frac{410656041116}{71744535} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -342 a + 503\) , \( -233 a - 7703\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-342a+503\right){x}-233a-7703$
14400.4-g2 14400.4-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.214047074$ 2.928391727 \( -\frac{77422592}{50625} a - \frac{78272512}{16875} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 23 a - 32\) , \( 66 a + 6\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(23a-32\right){x}+66a+6$
14400.4-g3 14400.4-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.607023537$ 2.928391727 \( \frac{4124709472}{3515625} a - \frac{1111133936}{390625} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a - 137\) , \( 177 a + 732\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7a-137\right){x}+177a+732$
14400.4-g4 14400.4-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.607023537$ 2.928391727 \( -\frac{8006528}{164025} a - \frac{86299408}{54675} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 38 a + 83\) , \( 251 a - 659\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(38a+83\right){x}+251a-659$
14400.4-g5 14400.4-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.303511768$ 2.928391727 \( \frac{7512065296}{32805} a + \frac{164197320548}{32805} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 658 a + 1503\) , \( 14895 a - 35055\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(658a+1503\right){x}+14895a-35055$
14400.4-g6 14400.4-g \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.607023537$ 2.928391727 \( \frac{4230144032}{225} a + \frac{539155184}{25} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 368 a - 512\) , \( 4140 a - 1260\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(368a-512\right){x}+4140a-1260$
14400.4-h1 14400.4-h \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.755416175$ 3.644264746 \( -\frac{1741520}{81} a - \frac{1052464}{27} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -100 a + 100\) , \( -156 a + 804\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-100a+100\right){x}-156a+804$
14400.4-h2 14400.4-h \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.510832350$ 3.644264746 \( -\frac{14080}{81} a + \frac{22528}{81} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -5 a - 5\) , \( 14 a + 24\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-5\right){x}+14a+24$
14400.4-i1 14400.4-i \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.366262447$ 0.823887255 \( -\frac{868}{27} a + \frac{4}{9} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a + 7\) , \( 33 a + 3\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+7\right){x}+33a+3$
14400.4-i2 14400.4-i \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.683131223$ 0.823887255 \( -\frac{18321686}{729} a + \frac{5918108}{243} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 122 a - 73\) , \( 553 a + 323\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(122a-73\right){x}+553a+323$
14400.4-j1 14400.4-j \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.362256772$ $0.358494755$ 4.085390259 \( \frac{314400199828}{50625} a - \frac{48125063392}{16875} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 834 a + 519\) , \( 2433 a - 27597\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(834a+519\right){x}+2433a-27597$
14400.4-j2 14400.4-j \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.362256772$ $0.358494755$ 4.085390259 \( -\frac{70879649764}{215233605} a + \frac{51089218576}{71744535} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -86 a - 201\) , \( 105 a - 2445\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-86a-201\right){x}+105a-2445$
14400.4-j3 14400.4-j \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.181128386$ $0.716989510$ 4.085390259 \( \frac{217269712}{164025} a + \frac{132469232}{54675} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 54 a + 39\) , \( 45 a - 405\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(54a+39\right){x}+45a-405$
14400.4-j4 14400.4-j \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.590564193$ $1.433979020$ 4.085390259 \( -\frac{3156736}{405} a + \frac{5806592}{405} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 14 a + 24\) , \( -17 a + 78\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(14a+24\right){x}-17a+78$
14400.4-k1 14400.4-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.529263930$ 1.276632633 \( \frac{3134260907776}{253125} a - \frac{1050657662464}{84375} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -339 a - 449\) , \( -5406 a - 1446\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-339a-449\right){x}-5406a-1446$
14400.4-k2 14400.4-k \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.264631965$ 1.276632633 \( -\frac{142582892404208}{64072265625} a - \frac{19781191762288}{21357421875} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -344 a - 404\) , \( -5504 a - 2364\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-344a-404\right){x}-5504a-2364$
14400.4-l1 14400.4-l \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.372286032$ $0.722451424$ 5.190019933 \( -\frac{1912576}{6561} a + \frac{4436992}{6561} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -34 a - 19\) , \( -116 a - 181\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-34a-19\right){x}-116a-181$
14400.4-l2 14400.4-l \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.744572065$ $0.361225712$ 5.190019933 \( \frac{690575344}{531441} a + \frac{477952784}{177147} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 261 a - 49\) , \( -949 a - 1984\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(261a-49\right){x}-949a-1984$
14400.4-m1 14400.4-m \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.683131223$ 2.471661766 \( \frac{18321686}{729} a - \frac{567362}{729} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 121 a - 89\) , \( -509 a - 444\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(121a-89\right){x}-509a-444$
14400.4-m2 14400.4-m \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.366262447$ 2.471661766 \( \frac{868}{27} a - \frac{856}{27} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 9\) , \( -21 a - 36\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-9\right){x}-21a-36$
14400.4-n1 14400.4-n \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.085518907$ 3.300469852 \( -\frac{239476497043604828}{177978515625} a - \frac{156324940415959108}{59326171875} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 12048 a - 22632\) , \( 941184 a - 896256\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(12048a-22632\right){x}+941184a-896256$
14400.4-n2 14400.4-n \(\Q(\sqrt{-11}) \) \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.085518907$ 3.300469852 \( \frac{516903927314317196}{35303692060125} a - \frac{112860592975894844}{11767897353375} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1528 a - 11952\) , \( -87312 a + 490608\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(1528a-11952\right){x}-87312a+490608$
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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.