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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
121.1-a2 121.1-a \(\Q(\sqrt{-3}) \) \( 11^{2} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.851543623$ 0.427595683 \( -\frac{122023936}{161051} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$
121.1-a3 121.1-a \(\Q(\sqrt{-3}) \) \( 11^{2} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $9.257718117$ 0.427595683 \( -\frac{4096}{11} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}$
124.1-a2 124.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 31 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $9.210794651$ 0.425428381 \( -\frac{24551}{62} a + \frac{45753}{31} \) \( \bigl[a + 1\) , \( a\) , \( a\) , \( 0\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}$
124.1-a3 124.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 31 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.842158930$ 0.425428381 \( \frac{511363962461}{916132832} a + \frac{1018073036305}{916132832} \) \( \bigl[a + 1\) , \( a\) , \( a\) , \( -15 a + 5\) , \( -7 a + 21\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-15a+5\right){x}-7a+21$
124.2-a2 124.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 31 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $9.210794651$ 0.425428381 \( \frac{24551}{62} a + \frac{66955}{62} \) \( \bigl[a\) , \( a - 1\) , \( a\) , \( -a + 1\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}$
124.2-a3 124.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 31 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.842158930$ 0.425428381 \( -\frac{511363962461}{916132832} a + \frac{764718499383}{458066416} \) \( \bigl[a\) , \( a - 1\) , \( a\) , \( 14 a - 9\) , \( -3 a + 9\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-9\right){x}-3a+9$
532.2-a1 532.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 19 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.087467848$ 0.713020157 \( -\frac{20266429109}{2554664} a - \frac{605578053}{638666} \) \( \bigl[1\) , \( a - 1\) , \( 0\) , \( 7 a - 7\) , \( 7 a - 4\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(7a-7\right){x}+7a-4$
532.3-a1 532.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 19 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.087467848$ 0.713020157 \( \frac{20266429109}{2554664} a - \frac{22688741321}{2554664} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( -7 a\) , \( -7 a + 3\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}-7a{x}-7a+3$
1083.2-c2 1083.2-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.358829150$ 1.255232601 \( \frac{841232384}{1121931} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( 20 a - 20\) , \( -32\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(20a-20\right){x}-32$
1137.1-a2 1137.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 379 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $5.222969636$ 1.206193170 \( \frac{7118848}{10233} a + \frac{19468288}{10233} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( 2 a\) , \( a\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}+2a{x}+a$
1137.2-a2 1137.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 379 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $5.222969636$ 1.206193170 \( -\frac{7118848}{10233} a + \frac{26587136}{10233} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -2 a + 2\) , \( -a + 1\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}+\left(-2a+2\right){x}-a+1$
1308.1-a1 1308.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 109 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $5.057222261$ 1.167915453 \( \frac{9244621}{2943} a - \frac{10533583}{5886} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 2\) , \( -a + 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+2{x}-a+1$
1308.2-a1 1308.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 109 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $5.057222261$ 1.167915453 \( -\frac{9244621}{2943} a + \frac{7955659}{5886} \) \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 2 a + 1\) , \( -1\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a+1\right){x}-1$
1444.2-a2 1444.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 19^{2} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $4.825279813$ 1.114350639 \( -\frac{1}{608} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+1$
1708.1-a2 1708.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 61 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.367036989$ $3.246221898$ 1.100645321 \( \frac{4659834513}{2050454} a + \frac{16361372347}{4100908} \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( a - 7\) , \( -3 a + 6\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a-7\right){x}-3a+6$
1708.4-a2 1708.4-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 61 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.367036989$ $3.246221898$ 1.100645321 \( -\frac{4659834513}{2050454} a + \frac{25681041373}{4100908} \) \( \bigl[1\) , \( -a\) , \( 1\) , \( -a - 6\) , \( 3 a + 3\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-6\right){x}+3a+3$
1756.1-b1 1756.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 439 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $4.627304252$ 1.068630142 \( -\frac{15525725}{14048} a + \frac{8339679}{7024} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( -2 a - 1\) , \( -a\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-a$
1756.2-b1 1756.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 439 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $4.627304252$ 1.068630142 \( \frac{15525725}{14048} a + \frac{1153633}{14048} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( a - 3\) , \( -1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(a-3\right){x}-1$
1875.1-c2 1875.1-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 5^{4} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.274603091$ 1.512474380 \( \frac{20480}{243} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}+2{x}+4$
2284.1-a2 2284.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 571 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.652782584$ $4.363388824$ 1.315593847 \( \frac{37203475}{18272} a + \frac{44512179}{18272} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 2\) , \( -1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+2{x}-1$
2284.2-a2 2284.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 571 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.652782584$ $4.363388824$ 1.315593847 \( -\frac{37203475}{18272} a + \frac{40857827}{9136} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( -a + 3\) , \( -a\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+3\right){x}-a$
2500.1-a2 2500.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{4} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $4.272500240$ 0.986691665 \( -\frac{121945}{32} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -3\) , \( 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-3{x}+1$
2500.1-a4 2500.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{4} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.424166746$ 0.986691665 \( \frac{46969655}{32768} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 22\) , \( -9\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+22{x}-9$
2748.1-b1 2748.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 229 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.027631539$ 1.398403107 \( \frac{247340525}{111294} a - \frac{220827617}{111294} \) \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -5 a + 4\) , \( 3 a - 9\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+4\right){x}+3a-9$
2748.2-b1 2748.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 229 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.027631539$ 1.398403107 \( -\frac{247340525}{111294} a + \frac{4418818}{18549} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 7 a - 2\) , \( 3 a - 8\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-2\right){x}+3a-8$
3364.1-b2 3364.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 29^{2} \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.650453053$ $2.497049844$ 1.500384344 \( \frac{13651919}{29696} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 5\) , \( 9\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+5{x}+9$
3892.2-a2 3892.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 139 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.661259792$ 0.845531730 \( \frac{94431538}{2336173} a - \frac{555806519}{4672346} \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -a + 1\) , \( 3 a\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}+3a$
3892.3-a2 3892.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 139 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.661259792$ 0.845531730 \( -\frac{94431538}{2336173} a - \frac{366943443}{4672346} \) \( \bigl[1\) , \( -a\) , \( 1\) , \( a\) , \( -3 a + 3\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+a{x}-3a+3$
4188.1-a1 4188.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 349 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.847447560$ 1.279949215 \( \frac{6463675267}{2289789} a - \frac{4978315057}{4579578} \) \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -5 a - 11\) , \( 27 a + 6\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-11\right){x}+27a+6$
4188.2-a1 4188.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 349 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.847447560$ 1.279949215 \( -\frac{6463675267}{2289789} a + \frac{7949035477}{4579578} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 7 a - 17\) , \( -21 a + 16\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-17\right){x}-21a+16$
4417.1-b1 4417.1-b \(\Q(\sqrt{-3}) \) \( 7 \cdot 631 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.964260704$ $3.566707188$ 1.588514872 \( \frac{5426200576}{10605217} a - \frac{6991310848}{10605217} \) \( \bigl[0\) , \( a\) , \( 1\) , \( -a - 2\) , \( -4 a\bigr] \) ${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-a-2\right){x}-4a$
4417.4-a1 4417.4-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 631 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.964260704$ $3.566707188$ 1.588514872 \( -\frac{5426200576}{10605217} a - \frac{1565110272}{10605217} \) \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( a - 3\) , \( 4 a - 4\bigr] \) ${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a-3\right){x}+4a-4$
4908.1-a2 4908.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 409 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.347795032$ 1.867559579 \( \frac{725494966063}{10733796} a - \frac{307358734001}{10733796} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 63 a - 27\) , \( -81 a - 91\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(63a-27\right){x}-81a-91$
4908.2-a2 4908.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 409 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.347795032$ 1.867559579 \( -\frac{725494966063}{10733796} a + \frac{209068116031}{5366898} \) \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -63 a + 37\) , \( 143 a - 208\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-63a+37\right){x}+143a-208$
5043.1-b1 5043.1-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 41^{2} \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.840521417$ $2.647157633$ 2.055360202 \( -\frac{122023936}{9963} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -10\) , \( 10\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}-10{x}+10$
5908.1-a1 5908.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 211 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $1.044511954$ $3.352086445$ 1.617178595 \( -\frac{12091364394}{3546277} a + \frac{22867453451}{7092554} \) \( \bigl[1\) , \( a - 1\) , \( 0\) , \( a + 4\) , \( -3 a + 1\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+4\right){x}-3a+1$
5908.4-a1 5908.4-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 211 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $1.044511954$ $3.352086445$ 1.617178595 \( \frac{12091364394}{3546277} a - \frac{1315275337}{7092554} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( -a + 5\) , \( 3 a - 2\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-a+5\right){x}+3a-2$
6004.2-a1 6004.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 19 \cdot 79 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $2.162759644$ 0.998935890 \( \frac{1381687771575}{782447284} a - \frac{1603102527011}{782447284} \) \( \bigl[1\) , \( -a\) , \( 1\) , \( -2 a + 10\) , \( 15 a - 8\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-2a+10\right){x}+15a-8$
6004.3-a1 6004.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 19 \cdot 79 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $2.162759644$ 0.998935890 \( -\frac{1381687771575}{782447284} a - \frac{55353688859}{195611821} \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 2 a + 8\) , \( -15 a + 7\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+8\right){x}-15a+7$
6196.1-b1 6196.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 1549 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $2.215162092$ 1.023139544 \( \frac{3405160673}{1586176} a - \frac{7676439885}{1586176} \) \( \bigl[1\) , \( -a\) , \( a\) , \( -12\) , \( 3 a - 18\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}-12{x}+3a-18$
6196.2-b1 6196.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 1549 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $2.215162092$ 1.023139544 \( -\frac{3405160673}{1586176} a - \frac{1067819803}{396544} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -a - 12\) , \( -4 a - 15\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-12\right){x}-4a-15$
6916.3-a1 6916.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 13 \cdot 19 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.277193110$ $1.305307474$ 1.671185336 \( -\frac{372465313425977}{474264430276} a + \frac{305599863776465}{474264430276} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( 24 a - 15\) , \( -16 a - 39\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(24a-15\right){x}-16a-39$
6916.6-a1 6916.6-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 13 \cdot 19 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.277193110$ $1.305307474$ 1.671185336 \( \frac{372465313425977}{474264430276} a - \frac{16716362412378}{118566107569} \) \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -24 a + 9\) , \( 16 a - 55\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-24a+9\right){x}+16a-55$
8113.1-a2 8113.1-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 19 \cdot 61 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $1.423203187$ $3.122019099$ 2.052257365 \( \frac{165925339136}{19479313} a - \frac{21827211264}{19479313} \) \( \bigl[0\) , \( a\) , \( 1\) , \( 7 a\) , \( 2 a - 9\bigr] \) ${y}^2+{y}={x}^{3}+a{x}^{2}+7a{x}+2a-9$
8113.8-a2 8113.8-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 19 \cdot 61 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $1.423203187$ $3.122019099$ 2.052257365 \( -\frac{165925339136}{19479313} a + \frac{144098127872}{19479313} \) \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -7 a + 7\) , \( -2 a - 7\bigr] \) ${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a+7\right){x}-2a-7$
9516.1-c1 9516.1-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 13 \cdot 61 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.507556705$ 1.740776539 \( -\frac{1401873442975}{2446078284} a + \frac{1985497068127}{4892156568} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 15 a\) , \( -19 a + 36\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+15a{x}-19a+36$
9516.4-c1 9516.4-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 13 \cdot 61 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.507556705$ 1.740776539 \( \frac{1401873442975}{2446078284} a - \frac{818249817823}{4892156568} \) \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -13 a + 14\) , \( 33 a + 3\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-13a+14\right){x}+33a+3$
9772.1-c1 9772.1-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 349 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.431194357$ 0.661040358 \( -\frac{249410353687125}{197167723802} a + \frac{815903737463489}{197167723802} \) \( \bigl[1\) , \( -a\) , \( 1\) , \( -11 a - 21\) , \( 29 a + 23\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-11a-21\right){x}+29a+23$
9772.4-c1 9772.4-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7 \cdot 349 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.431194357$ 0.661040358 \( \frac{249410353687125}{197167723802} a + \frac{283246691888182}{98583861901} \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 11 a - 32\) , \( -29 a + 52\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(11a-32\right){x}-29a+52$
10308.1-b1 10308.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 859 \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.429486399$ $2.770723481$ 2.748159686 \( \frac{346618597}{742176} a - \frac{566063453}{742176} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( -2 a + 5\) , \( 8 a - 3\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a+5\right){x}+8a-3$
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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.