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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
1458.1-a1 1458.1-a \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $4.498619549$ 1.298639604 \( -\frac{413811}{256} a + \frac{624843}{256} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -18 a - 33\) , \( -138 a - 240\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-18a-33\right){x}-138a-240$
1458.1-a2 1458.1-a \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $13.49585864$ 1.298639604 \( -\frac{3063825}{8} a + \frac{5309199}{8} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 18 a + 30\) , \( 108 a + 188\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(18a+30\right){x}+108a+188$
1458.1-b1 1458.1-b \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $35.26759953$ 3.393626347 \( \frac{21249}{4} a - \frac{4887}{4} \) \( \bigl[1\) , \( -1\) , \( a\) , \( a - 3\) , \( -2 a + 3\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(a-3\right){x}-2a+3$
1458.1-b2 1458.1-b \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $11.75586651$ 3.393626347 \( \frac{355779}{2} a + \frac{619677}{2} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( -2 a\) , \( -a - 1\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-2a{x}-a-1$
1458.1-c1 1458.1-c \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.259974236$ $5.030978620$ 2.265392252 \( -\frac{2110491}{4} a + \frac{3648717}{4} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( -5 a - 9\) , \( -12 a - 22\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-5a-9\right){x}-12a-22$
1458.1-c2 1458.1-c \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.779922710$ $15.09293586$ 2.265392252 \( -\frac{2025}{2} a + \frac{5481}{2} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( 4 a + 7\) , \( 4 a + 7\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(4a+7\right){x}+4a+7$
1458.1-d1 1458.1-d \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $9.509784826$ 2.745238414 \( \frac{2025}{2} a + \frac{5481}{2} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( -5 a + 6\) , \( 4 a - 9\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a+6\right){x}+4a-9$
1458.1-d2 1458.1-d \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $28.52935447$ 2.745238414 \( \frac{2110491}{4} a + \frac{3648717}{4} \) \( \bigl[1\) , \( -1\) , \( a\) , \( 4 a - 9\) , \( -12 a + 21\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(4a-9\right){x}-12a+21$
1458.1-e1 1458.1-e \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.111398447$ $13.04876105$ 4.196215610 \( \frac{413811}{256} a + \frac{624843}{256} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 18 a - 32\) , \( -138 a + 239\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(18a-32\right){x}-138a+239$
1458.1-e2 1458.1-e \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.334195343$ $4.349587019$ 4.196215610 \( \frac{3063825}{8} a + \frac{5309199}{8} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( -18 a + 30\) , \( 108 a - 188\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-18a+30\right){x}+108a-188$
1458.1-f1 1458.1-f \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.607257452$ $29.66600381$ 2.311312993 \( \frac{68980869}{4} a - \frac{59741523}{2} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -6 a - 12\) , \( 20 a + 36\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-6a-12\right){x}+20a+36$
1458.1-f2 1458.1-f \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.202419150$ $9.888667937$ 2.311312993 \( \frac{14931}{64} a + \frac{12177}{32} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 6 a + 9\) , \( -10 a - 18\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(6a+9\right){x}-10a-18$
1458.1-g1 1458.1-g \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.466376693$ $8.409604824$ 2.264392979 \( -\frac{21249}{4} a - \frac{4887}{4} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( -2 a - 3\) , \( -2 a - 4\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a-3\right){x}-2a-4$
1458.1-g2 1458.1-g \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $1.399130079$ $25.22881447$ 2.264392979 \( -\frac{355779}{2} a + \frac{619677}{2} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( a + 1\) , \( -a - 1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(a+1\right){x}-a-1$
1458.1-h1 1458.1-h \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.179841030$ 2.517063610 \( -\frac{68980869}{4} a - \frac{59741523}{2} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 6 a - 12\) , \( 20 a - 36\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(6a-12\right){x}+20a-36$
1458.1-h2 1458.1-h \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $6.539523090$ 2.517063610 \( -\frac{14931}{64} a + \frac{12177}{32} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -6 a + 10\) , \( -10 a + 17\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6a+10\right){x}-10a+17$
1458.1-i1 1458.1-i \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $7.843795817$ 1.509539208 \( -\frac{189613868625}{128} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( 60322 a - 104487\) , \( -10598940 a + 18357906\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(60322a-104487\right){x}-10598940a+18357906$
1458.1-i2 1458.1-i \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.614598605$ 1.509539208 \( -\frac{140625}{8} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -6\) , \( -6\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-6{x}-6$
1458.1-i3 1458.1-i \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.614598605$ 1.509539208 \( -\frac{1159088625}{2097152} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( 5302 a - 9185\) , \( -563243 a + 975564\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(5302a-9185\right){x}-563243a+975564$
1458.1-i4 1458.1-i \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $7.843795817$ 1.509539208 \( \frac{3375}{2} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 3\) , \( -1\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+3{x}-1$
1458.1-j1 1458.1-j \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.756371729$ 3.253113343 \( \frac{180313857}{4} a - \frac{312277113}{4} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 3 a - 11\) , \( 5 a - 12\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3a-11\right){x}+5a-12$
1458.1-j2 1458.1-j \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $11.26911518$ 3.253113343 \( \frac{4766283}{32} a + \frac{8252523}{32} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( -3 a - 6\) , \( 4 a + 5\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-3a-6\right){x}+4a+5$
1458.1-k1 1458.1-k \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.262304011$ 2.612283659 \( -\frac{35937}{4} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( -6\) , \( -8\bigr] \) ${y}^2+a{x}{y}={x}^{3}-6{x}-8$
1458.1-k2 1458.1-k \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $6.786912033$ 2.612283659 \( \frac{109503}{64} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+4{x}-1$
1458.1-l1 1458.1-l \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.756371729$ 3.253113343 \( -\frac{180313857}{4} a - \frac{312277113}{4} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -3 a - 11\) , \( -5 a - 12\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-3a-11\right){x}-5a-12$
1458.1-l2 1458.1-l \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $11.26911518$ 3.253113343 \( -\frac{4766283}{32} a + \frac{8252523}{32} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 3 a - 6\) , \( -4 a + 5\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(3a-6\right){x}-4a+5$
1458.1-m1 1458.1-m \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $1.062413899$ $32.33027387$ 2.203433717 \( -\frac{180313857}{4} a - \frac{312277113}{4} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -3 a - 12\) , \( 5 a + 11\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-3a-12\right){x}+5a+11$
1458.1-m2 1458.1-m \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.354137966$ $10.77675795$ 2.203433717 \( -\frac{4766283}{32} a + \frac{8252523}{32} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 3 a - 6\) , \( 4 a - 5\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(3a-6\right){x}+4a-5$
1458.1-n1 1458.1-n \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.305934883$ $19.31991708$ 2.275005083 \( -\frac{35937}{4} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -6\) , \( 8\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-6{x}+8$
1458.1-n2 1458.1-n \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.101978294$ $6.439972360$ 2.275005083 \( \frac{109503}{64} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 3\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+3{x}$
1458.1-o1 1458.1-o \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $1.062413899$ $32.33027387$ 2.203433717 \( \frac{180313857}{4} a - \frac{312277113}{4} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 3 a - 12\) , \( -5 a + 11\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(3a-12\right){x}-5a+11$
1458.1-o2 1458.1-o \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.354137966$ $10.77675795$ 2.203433717 \( \frac{4766283}{32} a + \frac{8252523}{32} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -3 a - 6\) , \( -4 a - 5\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-3a-6\right){x}-4a-5$
1458.1-p1 1458.1-p \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $3.080173468$ $0.173617472$ 4.322510075 \( -\frac{189613868625}{128} \) \( \bigl[1\) , \( -1\) , \( a\) , \( 60322 a - 104487\) , \( 10598940 a - 18357907\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(60322a-104487\right){x}+10598940a-18357907$
1458.1-p2 1458.1-p \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.146674927$ $25.52176850$ 4.322510075 \( -\frac{140625}{8} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -5\) , \( 5\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-5{x}+5$
1458.1-p3 1458.1-p \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $1.026724489$ $0.520852418$ 4.322510075 \( -\frac{1159088625}{2097152} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( 5302 a - 9186\) , \( 563242 a - 975566\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(5302a-9186\right){x}+563242a-975566$
1458.1-p4 1458.1-p \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.440024781$ $8.507256167$ 4.322510075 \( \frac{3375}{2} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( 3\) , \( 1\bigr] \) ${y}^2+a{x}{y}={x}^{3}+3{x}+1$
1458.1-q1 1458.1-q \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.607257452$ $29.66600381$ 2.311312993 \( -\frac{68980869}{4} a - \frac{59741523}{2} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 6 a - 12\) , \( -20 a + 36\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(6a-12\right){x}-20a+36$
1458.1-q2 1458.1-q \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.202419150$ $9.888667937$ 2.311312993 \( -\frac{14931}{64} a + \frac{12177}{32} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -6 a + 9\) , \( 10 a - 18\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-6a+9\right){x}+10a-18$
1458.1-r1 1458.1-r \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $35.26759953$ 3.393626347 \( -\frac{21249}{4} a - \frac{4887}{4} \) \( \bigl[1\) , \( -1\) , \( a\) , \( -2 a - 3\) , \( 2 a + 3\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2a-3\right){x}+2a+3$
1458.1-r2 1458.1-r \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $11.75586651$ 3.393626347 \( -\frac{355779}{2} a + \frac{619677}{2} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( a\) , \( -1\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}-1$
1458.1-s1 1458.1-s \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.179841030$ 2.517063610 \( \frac{68980869}{4} a - \frac{59741523}{2} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( -6 a - 12\) , \( -20 a - 36\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-6a-12\right){x}-20a-36$
1458.1-s2 1458.1-s \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $6.539523090$ 2.517063610 \( \frac{14931}{64} a + \frac{12177}{32} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 6 a + 10\) , \( 10 a + 17\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6a+10\right){x}+10a+17$
1458.1-t1 1458.1-t \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $4.498619549$ 1.298639604 \( \frac{413811}{256} a + \frac{624843}{256} \) \( \bigl[a\) , \( 0\) , \( a\) , \( 18 a - 33\) , \( 138 a - 240\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(18a-33\right){x}+138a-240$
1458.1-t2 1458.1-t \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $13.49585864$ 1.298639604 \( \frac{3063825}{8} a + \frac{5309199}{8} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -18 a + 30\) , \( -108 a + 188\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-18a+30\right){x}-108a+188$
1458.1-u1 1458.1-u \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.779922710$ $15.09293586$ 2.265392252 \( \frac{2025}{2} a + \frac{5481}{2} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( -5 a + 7\) , \( -5 a + 7\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-5a+7\right){x}-5a+7$
1458.1-u2 1458.1-u \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.259974236$ $5.030978620$ 2.265392252 \( \frac{2110491}{4} a + \frac{3648717}{4} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( 4 a - 9\) , \( 12 a - 22\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(4a-9\right){x}+12a-22$
1458.1-v1 1458.1-v \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $28.52935447$ 2.745238414 \( -\frac{2110491}{4} a + \frac{3648717}{4} \) \( \bigl[1\) , \( -1\) , \( a\) , \( -5 a - 9\) , \( 12 a + 21\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-5a-9\right){x}+12a+21$
1458.1-v2 1458.1-v \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $9.509784826$ 2.745238414 \( -\frac{2025}{2} a + \frac{5481}{2} \) \( \bigl[a\) , \( 0\) , \( a + 1\) , \( 4 a + 6\) , \( -5 a - 9\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(4a+6\right){x}-5a-9$
1458.1-w1 1458.1-w \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.466376693$ $8.409604824$ 2.264392979 \( \frac{21249}{4} a - \frac{4887}{4} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( a - 3\) , \( 2 a - 4\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-3\right){x}+2a-4$
1458.1-w2 1458.1-w \(\Q(\sqrt{3}) \) \( 2 \cdot 3^{6} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $1.399130079$ $25.22881447$ 2.264392979 \( \frac{355779}{2} a + \frac{619677}{2} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( -2 a + 1\) , \( -1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-2a+1\right){x}-1$
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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.