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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
44563.1-a1 44563.1-a \(\Q(\sqrt{-3}) \) \( 44563 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.049752912$ $5.645758265$ 2.594777623 \( -\frac{19503666}{44563} a + \frac{59761233}{44563} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -2 a + 1\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2a+1\right){x}$
44563.2-a1 44563.2-a \(\Q(\sqrt{-3}) \) \( 44563 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.049752912$ $5.645758265$ 2.594777623 \( \frac{19503666}{44563} a + \frac{40257567}{44563} \) \( \bigl[a\) , \( a\) , \( a + 1\) , \( -2 a\) , \( -a\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}-2a{x}-a$
64783.1-a1 64783.1-a \(\Q(\sqrt{-3}) \) \( 64783 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.057611185$ $5.509225935$ 2.931951312 \( \frac{25189866}{64783} a - \frac{10010115}{64783} \) \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -1\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}-a$
64783.2-a1 64783.2-a \(\Q(\sqrt{-3}) \) \( 64783 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.057611185$ $5.509225935$ 2.931951312 \( -\frac{25189866}{64783} a + \frac{15179751}{64783} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -a + 1\) , \( a - 1\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-a+1\right){x}+a-1$
76729.2-a1 76729.2-a \(\Q(\sqrt{-3}) \) \( 277^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.068917871$ $5.485801888$ 3.492459124 \( \frac{12167}{277} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( -a\) , \( -1\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}-a{x}-1$
82633.1-a1 82633.1-a \(\Q(\sqrt{-3}) \) \( 82633 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.072824501$ $5.250856599$ 3.532376894 \( -\frac{157933872}{82633} a + \frac{74370125}{82633} \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 3 a - 1\) , \( a - 2\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-1\right){x}+a-2$
82633.2-a1 82633.2-a \(\Q(\sqrt{-3}) \) \( 82633 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.072824501$ $5.250856599$ 3.532376894 \( \frac{157933872}{82633} a - \frac{83563747}{82633} \) \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -3 a + 1\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a+1\right){x}$
91612.2-a1 91612.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 37 \cdot 619 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.041767069$ $4.795638400$ 3.700579893 \( \frac{3802059}{45806} a + \frac{13412547}{91612} \) \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( a\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-a$
91612.3-a1 91612.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 37 \cdot 619 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.041767069$ $4.795638400$ 3.700579893 \( -\frac{3802059}{45806} a + \frac{21016665}{91612} \) \( \bigl[a\) , \( a\) , \( 1\) , \( a - 1\) , \( a - 2\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}+a-2$
109579.1-a1 109579.1-a \(\Q(\sqrt{-3}) \) \( 109579 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.082468639$ $5.263234466$ 4.009598630 \( -\frac{39984554}{109579} a + \frac{4876641}{109579} \) \( \bigl[a\) , \( 0\) , \( 0\) , \( a - 1\) , \( -a\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}-a$
109579.2-a1 109579.2-a \(\Q(\sqrt{-3}) \) \( 109579 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.082468639$ $5.263234466$ 4.009598630 \( \frac{39984554}{109579} a - \frac{35107913}{109579} \) \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -a\) , \( a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}-a{x}+a-1$
117049.2-a1 117049.2-a \(\Q(\sqrt{-3}) \) \( 67 \cdot 1747 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.080567140$ $5.070008750$ 3.773340634 \( -\frac{190644224}{117049} a - \frac{30572544}{117049} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( a + 1\) , \( -2 a + 1\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(a+1\right){x}-2a+1$
117049.3-a1 117049.3-a \(\Q(\sqrt{-3}) \) \( 67 \cdot 1747 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.080567140$ $5.070008750$ 3.773340634 \( \frac{190644224}{117049} a - \frac{221216768}{117049} \) \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -a + 2\) , \( 2 a - 1\bigr] \) ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+2\right){x}+2a-1$
118857.1-a1 118857.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 39619 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.051739241$ $4.731148459$ 4.522473041 \( -\frac{25579250}{118857} a + \frac{71495307}{39619} \) \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -4 a + 1\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-4a+1\right){x}-a$
118857.2-a1 118857.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 39619 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.051739241$ $4.731148459$ 4.522473041 \( \frac{25579250}{118857} a + \frac{188906671}{118857} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 2 a - 1\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2a-1\right){x}$
119989.1-a1 119989.1-a \(\Q(\sqrt{-3}) \) \( 97 \cdot 1237 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.101729443$ $4.808521183$ 4.518742125 \( \frac{96309052}{119989} a + \frac{842067797}{119989} \) \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -2 a + 4\) , \( a + 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+4\right){x}+a+1$
119989.4-a1 119989.4-a \(\Q(\sqrt{-3}) \) \( 97 \cdot 1237 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.101729443$ $4.808521183$ 4.518742125 \( -\frac{96309052}{119989} a + \frac{938376849}{119989} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 2 a - 4\) , \( -2 a + 2\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-4\right){x}-2a+2$
126793.1-a1 126793.1-a \(\Q(\sqrt{-3}) \) \( 103 \cdot 1231 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.093508108$ $5.063912558$ 4.374161601 \( \frac{74862592}{126793} a + \frac{284356608}{126793} \) \( \bigl[0\) , \( -a\) , \( a\) , \( -a + 2\) , \( 0\bigr] \) ${y}^2+a{y}={x}^{3}-a{x}^{2}+\left(-a+2\right){x}$
126793.4-a1 126793.4-a \(\Q(\sqrt{-3}) \) \( 103 \cdot 1231 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.093508108$ $5.063912558$ 4.374161601 \( -\frac{74862592}{126793} a + \frac{359219200}{126793} \) \( \bigl[0\) , \( -a\) , \( a + 1\) , \( -2 a + 1\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-2a+1\right){x}-a$
144193.1-a1 144193.1-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 20599 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.050407303$ $4.263788421$ 3.970804128 \( \frac{339327630}{1009351} a + \frac{2403567459}{1009351} \) \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -3 a - 1\) , \( -2 a + 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-3a-1\right){x}-2a+1$
144193.4-a1 144193.4-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 20599 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.050407303$ $4.263788421$ 3.970804128 \( -\frac{339327630}{1009351} a + \frac{2742895089}{1009351} \) \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 2 a - 3\) , \( 2 a - 1\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-3\right){x}+2a-1$
149187.2-a1 149187.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 223^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.057856562$ $4.639410367$ 4.959121729 \( -\frac{389017}{669} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -1\) , \( -2\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-{x}-2$
149533.1-a1 149533.1-a \(\Q(\sqrt{-3}) \) \( 149533 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.097359941$ $4.977925300$ 4.477009702 \( -\frac{246907308}{149533} a + \frac{441262055}{149533} \) \( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 3 a - 1\) , \( a - 2\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-1\right){x}+a-2$
149533.2-a1 149533.2-a \(\Q(\sqrt{-3}) \) \( 149533 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.097359941$ $4.977925300$ 4.477009702 \( \frac{246907308}{149533} a + \frac{194354747}{149533} \) \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( a - 2\) , \( 0\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-2\right){x}$
44402.2-a1 44402.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 149^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.039519530$ $5.398034632$ 3.413244711 \( \frac{59319}{298} \) \( \bigl[i\) , \( 1\) , \( 0\) , \( 1\) , \( 1\bigr] \) ${y}^2+i{x}{y}={x}^{3}+{x}^{2}+{x}+1$
52441.2-a1 52441.2-a \(\Q(\sqrt{-1}) \) \( 229^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.081504763$ $5.335674696$ 3.479063214 \( \frac{912673}{229} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) ${y}^2+i{x}{y}={x}^{3}-2{x}+1$
61562.1-a1 61562.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 30781 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.045432724$ $5.247242173$ 3.814344160 \( \frac{5169075}{30781} a + \frac{6271811}{61562} \) \( \bigl[1\) , \( -i - 1\) , \( i\) , \( -1\) , \( i + 1\bigr] \) ${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}-{x}+i+1$
61562.2-a1 61562.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 30781 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.045432724$ $5.247242173$ 3.814344160 \( -\frac{5169075}{30781} a + \frac{6271811}{61562} \) \( \bigl[i\) , \( -i + 1\) , \( 1\) , \( -i - 1\) , \( i - 1\bigr] \) ${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-i-1\right){x}+i-1$
63773.1-a1 63773.1-a \(\Q(\sqrt{-1}) \) \( 63773 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.068552342$ $5.420193804$ 2.972535868 \( -\frac{30595072}{63773} a + \frac{124130240}{63773} \) \( \bigl[i + 1\) , \( -i\) , \( 1\) , \( -i + 1\) , \( 0\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-i+1\right){x}$
63773.2-a1 63773.2-a \(\Q(\sqrt{-1}) \) \( 63773 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.068552342$ $5.420193804$ 2.972535868 \( \frac{30595072}{63773} a + \frac{124130240}{63773} \) \( \bigl[i + 1\) , \( 0\) , \( 1\) , \( 1\) , \( 0\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+{x}$
83129.2-a1 83129.2-a \(\Q(\sqrt{-1}) \) \( 97 \cdot 857 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.078013512$ $5.348866758$ 3.338271088 \( \frac{55140352}{83129} a - \frac{4861952}{83129} \) \( \bigl[0\) , \( i + 1\) , \( i\) , \( 1\) , \( i + 1\bigr] \) ${y}^2+i{y}={x}^{3}+\left(i+1\right){x}^{2}+{x}+i+1$
83129.3-a1 83129.3-a \(\Q(\sqrt{-1}) \) \( 97 \cdot 857 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.078013512$ $5.348866758$ 3.338271088 \( -\frac{55140352}{83129} a - \frac{4861952}{83129} \) \( \bigl[0\) , \( -i + 1\) , \( i\) , \( 1\) , \( -i + 1\bigr] \) ${y}^2+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+{x}-i+1$
85753.2-a1 85753.2-a \(\Q(\sqrt{-1}) \) \( 29 \cdot 2957 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.077560119$ $5.339228538$ 3.312889630 \( -\frac{56217600}{85753} a + \frac{630784}{85753} \) \( \bigl[0\) , \( -i\) , \( i\) , \( i - 1\) , \( i + 1\bigr] \) ${y}^2+i{y}={x}^{3}-i{x}^{2}+\left(i-1\right){x}+i+1$
85753.3-a1 85753.3-a \(\Q(\sqrt{-1}) \) \( 29 \cdot 2957 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.077560119$ $5.339228538$ 3.312889630 \( \frac{56217600}{85753} a + \frac{630784}{85753} \) \( \bigl[0\) , \( -i\) , \( 1\) , \( -i - 1\) , \( i - 1\bigr] \) ${y}^2+{y}={x}^{3}-i{x}^{2}+\left(-i-1\right){x}+i-1$
86337.2-a1 86337.2-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 53 \cdot 181 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.046208829$ $4.444374442$ 3.285909470 \( \frac{52523008}{86337} a + \frac{73441280}{86337} \) \( \bigl[0\) , \( i - 1\) , \( 1\) , \( -i + 2\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-i+2\right){x}$
86337.3-a1 86337.3-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 53 \cdot 181 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.046208829$ $4.444374442$ 3.285909470 \( -\frac{52523008}{86337} a + \frac{73441280}{86337} \) \( \bigl[0\) , \( -i - 1\) , \( 1\) , \( i + 2\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(i+2\right){x}$
89234.1-a1 89234.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 44617 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.054460669$ $5.086482828$ 4.432212166 \( \frac{10931499}{89234} a - \frac{3259790}{44617} \) \( \bigl[i\) , \( i + 1\) , \( i\) , \( 1\) , \( i + 1\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+{x}+i+1$
89234.2-a1 89234.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 44617 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.054460669$ $5.086482828$ 4.432212166 \( -\frac{10931499}{89234} a - \frac{3259790}{44617} \) \( \bigl[1\) , \( i - 1\) , \( 1\) , \( 0\) , \( i - 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+i-1$
91592.1-a1 91592.1-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 107^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.043175467$ $4.060484670$ 5.610026370 \( -\frac{4}{107} \) \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( 0\) , \( -2 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}-i{x}^{2}-2i$
92233.1-a1 92233.1-a \(\Q(\sqrt{-1}) \) \( 92233 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.089493719$ $4.957701315$ 3.549465054 \( -\frac{43081728}{92233} a + \frac{591081472}{92233} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -2 i + 2\) , \( -i - 1\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}+\left(-2i+2\right){x}-i-1$
92233.2-a1 92233.2-a \(\Q(\sqrt{-1}) \) \( 92233 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.089493719$ $4.957701315$ 3.549465054 \( \frac{43081728}{92233} a + \frac{591081472}{92233} \) \( \bigl[0\) , \( -1\) , \( i\) , \( 2 i + 2\) , \( -i + 1\bigr] \) ${y}^2+i{y}={x}^{3}-{x}^{2}+\left(2i+2\right){x}-i+1$
45378.1-a1 45378.1-a \(\Q(\sqrt{-7}) \) \( 2 \cdot 3^{2} \cdot 2521 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.032531134$ $4.483068269$ 3.527812688 \( \frac{10973375}{90756} a - \frac{2225125}{90756} \) \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( a - 2\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a-2\right){x}$
45378.4-a1 45378.4-a \(\Q(\sqrt{-7}) \) \( 2 \cdot 3^{2} \cdot 2521 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.032531134$ $4.483068269$ 3.527812688 \( -\frac{10973375}{90756} a + \frac{4374125}{45378} \) \( \bigl[a\) , \( a\) , \( a + 1\) , \( -a - 1\) , \( -2 a + 2\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-a-1\right){x}-2a+2$
22898.2-a1 22898.2-a \(\Q(\sqrt{-2}) \) \( 2 \cdot 107^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.054776727$ $5.624169012$ 3.485454604 \( \frac{357911}{214} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 1\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}$
24964.1-a1 24964.1-a \(\Q(\sqrt{-2}) \) \( 2^{2} \cdot 79^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.041712789$ $5.249013259$ 3.715721447 \( \frac{148176}{79} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -1\) , \( 1\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}-{x}+1$
27848.2-a1 27848.2-a \(\Q(\sqrt{-2}) \) \( 2^{3} \cdot 59^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.039143184$ $4.414919187$ 3.910334407 \( \frac{55296}{59} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2\) , \( 1\bigr] \) ${y}^2={x}^{3}+2{x}+1$
32441.1-a1 32441.1-a \(\Q(\sqrt{-2}) \) \( 32441 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.097013233$ $5.720880151$ 3.139560225 \( -\frac{22835200}{32441} a + \frac{51867648}{32441} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( a - 1\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(a-1\right){x}$
32441.2-a1 32441.2-a \(\Q(\sqrt{-2}) \) \( 32441 \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.097013233$ $5.720880151$ 3.139560225 \( \frac{22835200}{32441} a + \frac{51867648}{32441} \) \( \bigl[0\) , \( a\) , \( 1\) , \( -a - 1\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-a-1\right){x}$
34225.1-b1 34225.1-b \(\Q(\sqrt{-2}) \) \( 5^{2} \cdot 37^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.131565918$ $3.860390354$ 5.746185051 \( \frac{16777216}{925} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( -5\) , \( 6\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-5{x}+6$
40401.5-a1 40401.5-a \(\Q(\sqrt{-2}) \) \( 3^{2} \cdot 67^{2} \) $3$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.037307963$ $4.761045369$ 4.019192869 \( \frac{512000}{603} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( 2\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}+2{x}$
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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.