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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
144.1-CMa1 144.1-CMa \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $-3$ $\mathrm{U}(1)$ $1$ $5.108115717$ 0.491528664 \( 0 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 1\bigr] \) ${y}^2={x}^{3}+1$
273.2-a4 273.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $3.548424136$ 0.682894543 \( -\frac{39922553}{8281} a + \frac{488720312}{223587} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 4 a\) , \( 3 a - 7\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+4a{x}+3a-7$
273.2-a7 273.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.182808045$ 0.682894543 \( \frac{1915717851108899}{1703607756123} a + \frac{2297367303009589}{1703607756123} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -26 a - 15\) , \( -78 a + 47\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-15\right){x}-78a+47$
273.3-a4 273.3-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $3.548424136$ 0.682894543 \( \frac{39922553}{8281} a - \frac{589188619}{223587} \) \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -4 a + 5\) , \( -3 a\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a+5\right){x}-3a$
273.3-a7 273.3-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.182808045$ 0.682894543 \( -\frac{1915717851108899}{1703607756123} a + \frac{1404361718039496}{567869252041} \) \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 26 a - 40\) , \( 63 a - 57\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(26a-40\right){x}+63a-57$
300.1-a5 300.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.941435210$ 0.747258760 \( \frac{702595369}{72900} \) \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -19 a + 18\) , \( 26\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a+18\right){x}+26$
300.1-a6 300.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.647145070$ 0.747258760 \( \frac{4102915888729}{9000000} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -334\) , \( -2368\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-334{x}-2368$
441.2-a5 441.2-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.957080255$ 0.753280541 \( -\frac{854150427}{117649} a + \frac{1556711379}{117649} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( -20 a + 1\) , \( -30 a + 18\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-20a+1\right){x}-30a+18$
441.2-a6 441.2-a \(\Q(\sqrt{-3}) \) \( 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.957080255$ 0.753280541 \( \frac{854150427}{117649} a + \frac{702560952}{117649} \) \( \bigl[1\) , \( -1\) , \( a\) , \( 19 a - 18\) , \( 29 a - 11\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(19a-18\right){x}+29a-11$
2352.2-b1 2352.2-b \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.872431843$ 1.511096279 \( -\frac{10061824000}{352947} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -113 a + 113\) , \( -516\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-113a+113\right){x}-516$
2352.2-b4 2352.2-b \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $2.617295530$ 1.511096279 \( \frac{2048000}{1323} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -7 a\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}-7a{x}$
8463.1-b4 8463.1-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1.114394217$ $0.910190271$ 2.342450397 \( \frac{85639094521375}{681868827003} a - \frac{901056417898375}{6136819443027} \) \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 21 a + 6\) , \( 26 a + 163\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(21a+6\right){x}+26a+163$
8463.1-b7 8463.1-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $3.343182653$ $0.303396757$ 2.342450397 \( \frac{35473867087135291853875}{17645952575648761} a - \frac{47321414088812900938000}{52937857726946283} \) \( \bigl[1\) , \( 0\) , \( a\) , \( 1727 a + 217\) , \( -5209 a + 32857\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(1727a+217\right){x}-5209a+32857$
8463.8-b4 8463.8-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1.114394217$ $0.910190271$ 2.342450397 \( -\frac{85639094521375}{681868827003} a - \frac{130304567206000}{6136819443027} \) \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -7 a - 22\) , \( -27 a + 189\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-7a-22\right){x}-27a+189$
8463.8-b7 8463.8-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 13 \cdot 31 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $3.343182653$ $0.303396757$ 2.342450397 \( -\frac{35473867087135291853875}{17645952575648761} a + \frac{59100187172592974623625}{52937857726946283} \) \( \bigl[1\) , \( 0\) , \( a + 1\) , \( -1728 a + 1944\) , \( 5208 a + 27648\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-1728a+1944\right){x}+5208a+27648$
11172.3-b6 11172.3-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.352160370$ 2.439838618 \( -\frac{84420590916548501}{66418810245228} a - \frac{90781306402521407}{354233654641216} \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 396 a - 166\) , \( 1756 a + 2208\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(396a-166\right){x}+1756a+2208$
11172.3-b7 11172.3-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.056481112$ 2.439838618 \( \frac{308665604131}{509655468} a + \frac{2419924581077}{4586899212} \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -39 a + 14\) , \( -20 a - 63\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-39a+14\right){x}-20a-63$
11172.4-b4 11172.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.352160370$ 2.439838618 \( \frac{84420590916548501}{66418810245228} a - \frac{1623073373872340237}{1062700963923648} \) \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -396 a + 229\) , \( -1527 a + 4130\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-396a+229\right){x}-1527a+4130$
11172.4-b6 11172.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $1.056481112$ 2.439838618 \( -\frac{308665604131}{509655468} a + \frac{1299478754564}{1146724803} \) \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( 39 a - 26\) , \( -6 a - 97\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(39a-26\right){x}-6a-97$
14196.2-f4 14196.2-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.445930432$ 2.059664444 \( -\frac{16895176369983241}{139070020908} a - \frac{51170013766180639}{1251630188172} \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 572 a - 598\) , \( 6432 a - 3840\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(572a-598\right){x}+6432a-3840$
14196.2-f7 14196.2-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.148643477$ 2.059664444 \( -\frac{365016400400812000709}{801710995600459308} a + \frac{4033953608391841398581}{4275791976535782976} \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -1873 a + 1382\) , \( 34656 a - 18183\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1873a+1382\right){x}+34656a-18183$
14196.5-f2 14196.5-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.445930432$ 2.059664444 \( \frac{16895176369983241}{139070020908} a - \frac{50806650274007452}{312907547043} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -26 a + 598\) , \( -6432 a + 2592\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-26a+598\right){x}-6432a+2592$
14196.5-f5 14196.5-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.148643477$ 2.059664444 \( \frac{365016400400812000709}{801710995600459308} a + \frac{6261598418762532184399}{12827375929607348928} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -491 a - 1382\) , \( -34656 a + 16473\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-491a-1382\right){x}-34656a+16473$
14700.2-h5 14700.2-h \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.181789683$ 2.518951744 \( \frac{2179252305146449}{66177562500} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 2701 a\) , \( -52819\bigr] \) ${y}^2+a{x}{y}={x}^{3}+2701a{x}-52819$
14700.2-h6 14700.2-h \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.545369050$ 2.518951744 \( \frac{5203798902289}{57153600} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 361 a\) , \( 2585\bigr] \) ${y}^2+a{x}{y}={x}^{3}+361a{x}+2585$
14700.2-i3 14700.2-i \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.297372254$ 2.747007217 \( \frac{21302308926361}{8930250000} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( 577 a\) , \( 2756\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+577a{x}+2756$
14700.2-i7 14700.2-i \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.099124084$ 2.747007217 \( \frac{1169975873419524361}{108425318400} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( 21952 a\) , \( -1253644\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+21952a{x}-1253644$
14763.2-b1 14763.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \cdot 37 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1.441006030$ $0.824223222$ 2.742900216 \( \frac{6802180964734375}{174429583923} a - \frac{79438652742316375}{1569866255307} \) \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 134 a - 144\) , \( -707 a + 346\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(134a-144\right){x}-707a+346$
14763.2-b2 14763.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \cdot 37 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $4.323018090$ $0.274741074$ 2.742900216 \( -\frac{140755540843425270940375}{17743908319506585363} a - \frac{181136044582565161067000}{17743908319506585363} \) \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -496 a - 669\) , \( -9527 a - 5975\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-496a-669\right){x}-9527a-5975$
14763.7-b2 14763.7-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \cdot 37 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $4.323018090$ $0.274741074$ 2.742900216 \( \frac{140755540843425270940375}{17743908319506585363} a - \frac{107297195141996810669125}{5914636106502195121} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 496 a - 1166\) , \( 8361 a - 14832\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(496a-1166\right){x}+8361a-14832$
14763.7-b3 14763.7-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 7 \cdot 19 \cdot 37 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1.441006030$ $0.824223222$ 2.742900216 \( -\frac{6802180964734375}{174429583923} a - \frac{18219024059707000}{1569866255307} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -134 a - 11\) , \( 696 a - 216\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-134a-11\right){x}+696a-216$
36309.5-e4 36309.5-e \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.499233319$ 2.305859932 \( \frac{459130129886875}{581389475121} a - \frac{2845422806852000}{5232505276089} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 158 a - 109\) , \( -1176 a + 587\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(158a-109\right){x}-1176a+587$
36309.5-e5 36309.5-e \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.166411106$ 2.305859932 \( -\frac{157271733240017606414875}{240443183295719038089} a + \frac{49604627072464288863625}{80147727765239679363} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -1372 a + 1016\) , \( 27534 a - 22417\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1372a+1016\right){x}+27534a-22417$
36309.6-c2 36309.6-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.157849384$ 2.187225235 \( \frac{65405700741420098209}{9149729583084363} a - \frac{359185091750981341864}{82347566247759267} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -1388 a - 1515\) , \( -45792 a - 9959\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1388a-1515\right){x}-45792a-9959$
36309.6-c7 36309.6-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.052616461$ 2.187225235 \( -\frac{112884442414617106303622129}{2971314037137150216603} a + \frac{50414705881057141747201411}{990438012379050072201} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -25958 a + 38850\) , \( -1300158 a - 1466987\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-25958a+38850\right){x}-1300158a-1466987$
36309.7-c7 36309.7-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.157849384$ 2.187225235 \( -\frac{65405700741420098209}{9149729583084363} a + \frac{229466214921799542017}{82347566247759267} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -2902 a + 1514\) , \( 45792 a - 55751\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2902a+1514\right){x}+45792a-55751$
36309.7-c8 36309.7-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.052616461$ 2.187225235 \( \frac{112884442414617106303622129}{2971314037137150216603} a + \frac{38359675228554318937982104}{2971314037137150216603} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 12893 a - 38851\) , \( 1300158 a - 2767145\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(12893a-38851\right){x}+1300158a-2767145$
36309.8-e6 36309.8-e \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.166411106$ 2.305859932 \( \frac{157271733240017606414875}{240443183295719038089} a - \frac{8457852022624739824000}{240443183295719038089} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -1017 a + 1371\) , \( -27534 a + 5117\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1017a+1371\right){x}-27534a+5117$
36309.8-e7 36309.8-e \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.499233319$ 2.305859932 \( -\frac{459130129886875}{581389475121} a + \frac{1286748362129875}{5232505276089} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 108 a - 159\) , \( 1176 a - 589\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(108a-159\right){x}+1176a-589$
62244.1-e3 62244.1-e \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.353370202$ 1.632147052 \( \frac{4628024219957101875}{3741592977147844} a - \frac{598095146539336500}{935398244286961} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -285 a - 57\) , \( -3285 a + 2484\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-285a-57\right){x}-3285a+2484$
62244.1-e8 62244.1-e \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.353370202$ 1.632147052 \( \frac{62310367102053375}{341525697604} a + \frac{293373143964721125}{5464411161664} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 15 a + 985\) , \( 13860 a - 7450\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(15a+985\right){x}+13860a-7450$
62244.8-d5 62244.8-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.353370202$ 1.632147052 \( -\frac{4628024219957101875}{3741592977147844} a + \frac{2235643633799755875}{3741592977147844} \) \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 57 a + 285\) , \( 3285 a - 801\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(57a+285\right){x}+3285a-801$
62244.8-d7 62244.8-d \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 19 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.353370202$ 1.632147052 \( -\frac{62310367102053375}{341525697604} a + \frac{1290339017597575125}{5464411161664} \) \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -986 a - 15\) , \( -13860 a + 6410\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-986a-15\right){x}-13860a+6410$
82173.5-f2 82173.5-f \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.132179692$ 2.747303326 \( \frac{31125196942078035780149291}{4485265772405554227} a - \frac{1094229948749065192462859}{4485265772405554227} \) \( \bigl[1\) , \( 0\) , \( a + 1\) , \( 7993 a - 13375\) , \( -455466 a + 507210\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(7993a-13375\right){x}-455466a+507210$
82173.5-f5 82173.5-f \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.396539078$ 2.747303326 \( \frac{3293826772289}{5251868167} a - \frac{262735570587232}{992603083563} \) \( \bigl[1\) , \( 0\) , \( a + 1\) , \( -92 a - 145\) , \( -2265 a + 501\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-92a-145\right){x}-2265a+501$
82173.8-e6 82173.8-e \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.396539078$ 2.747303326 \( -\frac{3293826772289}{5251868167} a + \frac{359797689375389}{992603083563} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 144 a + 92\) , \( 2264 a - 1763\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(144a+92\right){x}+2264a-1763$
82173.8-e8 82173.8-e \(\Q(\sqrt{-3}) \) \( 3 \cdot 7^{2} \cdot 13 \cdot 43 \) 0 $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.132179692$ 2.747303326 \( -\frac{31125196942078035780149291}{4485265772405554227} a + \frac{1430046047301379551794592}{213584084400264487} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 13374 a - 7993\) , \( 455465 a + 51745\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(13374a-7993\right){x}+455465a+51745$
82992.2-b2 82992.2-b \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $2.776074454$ $0.237784809$ 4.573364696 \( \frac{9207517391341757169664}{33380977828088163} a - \frac{2174979923318846799872}{11126992609362721} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -1597 a + 2561\) , \( 25380 a + 20880\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-1597a+2561\right){x}+25380a+20880$
82992.2-b3 82992.2-b \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $0.925358151$ $0.713354427$ 4.573364696 \( \frac{11262321197056}{21532943523} a - \frac{811482114899968}{193796491707} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 83 a + 41\) , \( -324 a + 636\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(83a+41\right){x}-324a+636$
82992.7-b2 82992.7-b \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 19 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $0.925358151$ $0.713354427$ 4.573364696 \( -\frac{11262321197056}{21532943523} a - \frac{710121224126464}{193796491707} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -83 a + 124\) , \( 324 a + 312\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-83a+124\right){x}+324a+312$
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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.