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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
228.1-a2 228.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $5.482231917$ 0.633033614 \( \frac{212831}{2052} a + \frac{51428}{513} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 2 a\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+2a{x}$
228.1-a4 228.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $2.741115958$ 0.633033614 \( -\frac{537398275}{175446} a + \frac{623983097}{58482} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -8 a\) , \( -18 a + 8\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}-8a{x}-18a+8$
228.2-a2 228.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $5.482231917$ 0.633033614 \( -\frac{212831}{2052} a + \frac{418543}{2052} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 0\) , \( a - 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a-1$
228.2-a4 228.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 19 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $2.741115958$ 0.633033614 \( \frac{537398275}{175446} a + \frac{667275508}{87723} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 10 a - 10\) , \( 9 a - 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-10\right){x}+9a-1$
1452.1-b2 1452.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 11^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.560225554$ 1.293785498 \( \frac{168105213359}{228637728} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 115\) , \( 561\bigr] \) ${y}^2+{x}{y}={x}^{3}+115{x}+561$
1452.1-b3 1452.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 11^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.120451108$ 1.293785498 \( \frac{10091699281}{2737152} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) ${y}^2+{x}{y}={x}^{3}-45{x}+81$
2604.1-b2 2604.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.155618781$ 1.334393628 \( \frac{89945456429}{675238032} a + \frac{3442163868137}{2025714096} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 16 a - 42\) , \( -19 a - 18\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(16a-42\right){x}-19a-18$
2604.1-b3 2604.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.577809390$ 1.334393628 \( -\frac{2196024357305119847}{29317541143212} a + \frac{2407195728201591827}{14658770571606} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 196 a - 402\) , \( -2179 a + 2790\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(196a-402\right){x}-2179a+2790$
2604.4-b2 2604.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.155618781$ 1.334393628 \( -\frac{89945456429}{675238032} a + \frac{232000014839}{126607131} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( -16 a - 24\) , \( -22 a - 20\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-16a-24\right){x}-22a-20$
2604.4-b3 2604.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 31 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.577809390$ 1.334393628 \( \frac{2196024357305119847}{29317541143212} a + \frac{2618367099098063807}{29317541143212} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( -196 a - 204\) , \( 1778 a + 808\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-196a-204\right){x}+1778a+808$
6636.1-b2 6636.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $0.734994715$ $1.294876283$ 2.197919878 \( -\frac{321390609676}{322643979} a + \frac{5641669520551}{1290575916} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -38 a + 15\) , \( -84 a + 77\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a+15\right){x}-84a+77$
6636.1-b3 6636.1-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $1.469989430$ $0.647438141$ 2.197919878 \( \frac{320664188504880779}{47599056783243} a + \frac{1329070173312043609}{95198113566486} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -218 a + 105\) , \( 672 a - 949\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-218a+105\right){x}+672a-949$
6636.4-b2 6636.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $0.734994715$ $1.294876283$ 2.197919878 \( \frac{321390609676}{322643979} a + \frac{484011897983}{143397324} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 40 a - 25\) , \( 45 a + 17\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-25\right){x}+45a+17$
6636.4-b3 6636.4-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7 \cdot 79 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $1.469989430$ $0.647438141$ 2.197919878 \( -\frac{320664188504880779}{47599056783243} a + \frac{1970398550321805167}{95198113566486} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 220 a - 115\) , \( -891 a - 163\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(220a-115\right){x}-891a-163$
7500.1-c2 7500.1-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{4} \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $0.686404979$ $0.787497134$ 2.496656342 \( -\frac{19465109}{248832} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -28\) , \( 272\bigr] \) ${y}^2+{x}{y}={x}^{3}-28{x}+272$
7500.1-c3 7500.1-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{4} \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $1.372809958$ $0.393748567$ 2.496656342 \( \frac{502270291349}{1889568} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -828\) , \( 9072\bigr] \) ${y}^2+{x}{y}={x}^{3}-828{x}+9072$
108300.2-h2 108300.2-h \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.054200066$ 2.503393825 \( \frac{89962967236397039}{287450726400000} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( -9335 a\) , \( -737383\bigr] \) ${y}^2+a{x}{y}={x}^{3}-9335a{x}-737383$
108300.2-h3 108300.2-h \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.027100033$ 2.503393825 \( \frac{75224183150104868881}{11219310000000000} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 87945 a\) , \( -8655975\bigr] \) ${y}^2+a{x}{y}={x}^{3}+87945a{x}-8655975$
117012.3-f2 117012.3-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.057655413$ 1.331494737 \( \frac{272011197939400654727}{5284319732941902408} a - \frac{144609399423457366589}{5284319732941902408} \) \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 4588 a - 4076\) , \( -656176 a + 718144\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(4588a-4076\right){x}-656176a+718144$
117012.3-f4 117012.3-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.115310826$ 1.331494737 \( -\frac{103108252845198519481}{874217959417152} a + \frac{6858031313885603981}{36425748309048} \) \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 7068 a - 10036\) , \( -338576 a + 306200\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(7068a-10036\right){x}-338576a+306200$
117012.4-f2 117012.4-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.057655413$ 1.331494737 \( -\frac{272011197939400654727}{5284319732941902408} a + \frac{21233633085990548023}{880719955490317068} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( -4590 a + 513\) , \( 656175 a + 61968\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-4590a+513\right){x}+656175a+61968$
117012.4-f4 117012.4-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 199 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.115310826$ 1.331494737 \( \frac{103108252845198519481}{874217959417152} a + \frac{61484498688055976063}{874217959417152} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( -7070 a - 2967\) , \( 338575 a - 32376\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-7070a-2967\right){x}+338575a-32376$
25.1-CMa1 25.1-CMa \(\Q(\sqrt{-1}) \) \( 5^{2} \) 0 $\Z/10\Z$ $-4$ $\mathrm{U}(1)$ $1$ $9.195427721$ 0.183908554 \( 1728 \) \( \bigl[i + 1\) , \( i\) , \( 1\) , \( -i - 1\) , \( 0\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-i-1\right){x}$
25.3-CMa1 25.3-CMa \(\Q(\sqrt{-1}) \) \( 5^{2} \) 0 $\Z/10\Z$ $-4$ $\mathrm{U}(1)$ $1$ $9.195427721$ 0.183908554 \( 1728 \) \( \bigl[i + 1\) , \( i\) , \( i\) , \( 0\) , \( 0\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}$
2178.1-b2 2178.1-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.560225554$ 1.120451108 \( \frac{168105213359}{228637728} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( 115\) , \( -561\bigr] \) ${y}^2+i{x}{y}={x}^{3}+115{x}-561$
2178.1-b3 2178.1-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.120451108$ 1.120451108 \( \frac{10091699281}{2737152} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) ${y}^2+{x}{y}={x}^{3}-45{x}+81$
2250.2-a1 2250.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{3} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.083804599$ 2.167609198 \( \frac{1885562257009}{234375000} a - \frac{12665379878711}{703125000} \) \( \bigl[i\) , \( i\) , \( i\) , \( -29 i + 62\) , \( 204 i + 139\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-29i+62\right){x}+204i+139$
2250.2-a2 2250.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{3} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $2.167609198$ 2.167609198 \( -\frac{405178123}{300000} a - \frac{1228303}{25000} \) \( \bigl[1\) , \( -i\) , \( 1\) , \( -9 i + 1\) , \( -12 i + 5\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-9i+1\right){x}-12i+5$
2250.3-a1 2250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{3} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.083804599$ 2.167609198 \( -\frac{1885562257009}{234375000} a - \frac{12665379878711}{703125000} \) \( \bigl[i\) , \( -i\) , \( i\) , \( 29 i + 62\) , \( -204 i + 139\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(29i+62\right){x}-204i+139$
2250.3-a2 2250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{3} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $2.167609198$ 2.167609198 \( \frac{405178123}{300000} a - \frac{1228303}{25000} \) \( \bigl[1\) , \( i\) , \( 1\) , \( 9 i + 1\) , \( 12 i + 5\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(9i+1\right){x}+12i+5$
2610.2-a1 2610.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $1.103989287$ $1.041549501$ 2.299718986 \( \frac{4595304741012881}{197109375000} a - \frac{8721492355789967}{197109375000} \) \( \bigl[i\) , \( i - 1\) , \( i + 1\) , \( 57 i - 66\) , \( 239 i - 148\bigr] \) ${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(57i-66\right){x}+239i-148$
2610.2-a4 2610.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $0.551994643$ $2.083099003$ 2.299718986 \( \frac{10059024449}{26100000} a + \frac{43710667}{271875} \) \( \bigl[1\) , \( -i + 1\) , \( i + 1\) , \( -3 i - 7\) , \( -12 i - 8\bigr] \) ${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-3i-7\right){x}-12i-8$
2610.3-a1 2610.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $1.103989287$ $1.041549501$ 2.299718986 \( -\frac{4595304741012881}{197109375000} a - \frac{8721492355789967}{197109375000} \) \( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( -58 i - 66\) , \( -240 i - 148\bigr] \) ${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-58i-66\right){x}-240i-148$
2610.3-a4 2610.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $0.551994643$ $2.083099003$ 2.299718986 \( -\frac{10059024449}{26100000} a + \frac{43710667}{271875} \) \( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( 2 i - 7\) , \( 11 i - 8\bigr] \) ${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(2i-7\right){x}+11i-8$
9225.3-a1 9225.3-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 41 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.803833524$ 0.803833524 \( -\frac{91086254566912}{49248046875} a + \frac{87687029137984}{49248046875} \) \( \bigl[i + 1\) , \( -1\) , \( 1\) , \( 35 i - 71\) , \( 179 i - 93\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(35i-71\right){x}+179i-93$
9225.3-a3 9225.3-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 41 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.803833524$ 0.803833524 \( \frac{84276178090496}{3603515625} a + \frac{4763095183424}{1201171875} \) \( \bigl[i + 1\) , \( 1\) , \( 1\) , \( -i + 129\) , \( 584 i + 28\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-i+129\right){x}+584i+28$
9225.4-a1 9225.4-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 41 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.803833524$ 0.803833524 \( \frac{91086254566912}{49248046875} a + \frac{87687029137984}{49248046875} \) \( \bigl[i + 1\) , \( -i - 1\) , \( 1\) , \( -36 i - 71\) , \( -179 i - 93\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-36i-71\right){x}-179i-93$
9225.4-a3 9225.4-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 41 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.803833524$ 0.803833524 \( -\frac{84276178090496}{3603515625} a + \frac{4763095183424}{1201171875} \) \( \bigl[i + 1\) , \( -1\) , \( i\) , \( 130\) , \( 584 i - 28\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-{x}^{2}+130{x}+584i-28$
11250.3-f2 11250.3-f \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{4} \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $0.650527560$ $0.787497134$ 4.098308718 \( -\frac{19465109}{248832} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -28\) , \( 272\bigr] \) ${y}^2+{x}{y}={x}^{3}-28{x}+272$
11250.3-f3 11250.3-f \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{4} \) $1$ $\Z/10\Z$ $\mathrm{SU}(2)$ $1.301055121$ $0.393748567$ 4.098308718 \( \frac{502270291349}{1889568} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -828\) , \( 9072\bigr] \) ${y}^2+{x}{y}={x}^{3}-828{x}+9072$
396.3-b1 396.3-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $3.169541966$ 2.395948518 \( -\frac{441746231}{371712} a + \frac{166429421}{371712} \) \( \bigl[1\) , \( -a\) , \( a\) , \( -a + 4\) , \( a + 2\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-a+4\right){x}+a+2$
396.3-b2 396.3-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $3.169541966$ 2.395948518 \( \frac{208341031}{101376} a - \frac{47745685}{50688} \) \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 3 a - 6\) , \( 2 a - 1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a-6\right){x}+2a-1$
396.4-b1 396.4-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $3.169541966$ 2.395948518 \( \frac{441746231}{371712} a - \frac{45886135}{61952} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 3\) , \( -2 a + 3\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+3{x}-2a+3$
396.4-b2 396.4-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $3.169541966$ 2.395948518 \( -\frac{208341031}{101376} a + \frac{112849661}{101376} \) \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -2 a - 3\) , \( -6 a - 1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-3\right){x}-6a-1$
1276.6-b3 1276.6-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11 \cdot 29 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.087708817$ 3.288922320 \( -\frac{16835397969375}{9700376576} a + \frac{39499657296453}{9700376576} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 19 a - 51\) , \( 64 a - 79\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(19a-51\right){x}+64a-79$
1276.6-b4 1276.6-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11 \cdot 29 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.087708817$ 3.288922320 \( \frac{33650938470825}{3679453184} a + \frac{10212358040757}{1839726592} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 49 a - 18\) , \( 80 a + 111\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(49a-18\right){x}+80a+111$
1276.7-b3 1276.7-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11 \cdot 29 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.087708817$ 3.288922320 \( \frac{16835397969375}{9700376576} a + \frac{11332129663539}{4850188288} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -19 a - 32\) , \( -64 a - 15\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-19a-32\right){x}-64a-15$
1276.7-b4 1276.7-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11 \cdot 29 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.087708817$ 3.288922320 \( -\frac{33650938470825}{3679453184} a + \frac{54075654552339}{3679453184} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -49 a + 31\) , \( -80 a + 191\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-49a+31\right){x}-80a+191$
4356.5-e2 4356.5-e \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $0.560225554$ 4.234907127 \( \frac{168105213359}{228637728} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 115\) , \( 561\bigr] \) ${y}^2+{x}{y}={x}^{3}+115{x}+561$
4356.5-e3 4356.5-e \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $1.120451108$ 4.234907127 \( \frac{10091699281}{2737152} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) ${y}^2+{x}{y}={x}^{3}-45{x}+81$
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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.