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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
5.1-a1 5.1-a \(\Q(\sqrt{101}) \) \( 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.641608148$ $15.50812655$ 1.980151940 \( -\frac{3848179}{5} a - \frac{19994526}{5} \) \( \bigl[1\) , \( -a\) , \( 1\) , \( a + 2\) , \( 2 a - 14\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(a+2\right){x}+2a-14$
5.1-a2 5.1-a \(\Q(\sqrt{101}) \) \( 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.128321629$ $15.50812655$ 1.980151940 \( \frac{198551}{3125} a + \frac{4288299}{3125} \) \( \bigl[a\) , \( 1\) , \( 1\) , \( 10 a + 60\) , \( 30 a + 144\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(10a+60\right){x}+30a+144$
5.2-a1 5.2-a \(\Q(\sqrt{101}) \) \( 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.641608148$ $15.50812655$ 1.980151940 \( \frac{3848179}{5} a - 4768541 \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -a + 3\) , \( -2 a - 12\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+3\right){x}-2a-12$
5.2-a2 5.2-a \(\Q(\sqrt{101}) \) \( 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.128321629$ $15.50812655$ 1.980151940 \( -\frac{198551}{3125} a + \frac{179474}{125} \) \( \bigl[a + 1\) , \( -a + 1\) , \( 1\) , \( -11 a + 70\) , \( -30 a + 174\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-11a+70\right){x}-30a+174$
9.1-a1 9.1-a \(\Q(\sqrt{101}) \) \( 3^{2} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $53.44923674$ 1.701887307 \( \frac{5451776}{9} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( 147 a - 802\) , \( -1944 a + 10734\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(147a-802\right){x}-1944a+10734$
9.1-a2 9.1-a \(\Q(\sqrt{101}) \) \( 3^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.137969469$ 1.701887307 \( \frac{162413858816}{59049} \) \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -4547 a - 20565\) , \( -380826 a - 1723220\bigr] \) ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4547a-20565\right){x}-380826a-1723220$
16.1-a1 16.1-a \(\Q(\sqrt{101}) \) \( 2^{4} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $28.53203897$ 2.839043989 \( 8192 \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -107 a - 474\) , \( 1354 a + 6133\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-107a-474\right){x}+1354a+6133$
20.1-a1 20.1-a \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.698133822$ 2.207868412 \( \frac{15552051}{200} a - \frac{86150501}{200} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 12 a - 62\) , \( 33 a - 189\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(12a-62\right){x}+33a-189$
20.1-b1 20.1-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.826677722$ $35.06575035$ 3.204912481 \( \frac{399186649}{160} a - \frac{550561031}{40} \) \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -1\) , \( 0\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}-{x}$
20.1-b2 20.1-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $2.480033166$ $3.896194484$ 3.204912481 \( \frac{33018991747}{2048000} a + \frac{298808284781}{4096000} \) \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -5 a + 9\) , \( -32 a + 126\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a+9\right){x}-32a+126$
20.1-b3 20.1-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $7.440099499$ $0.432910498$ 3.204912481 \( \frac{13045120502973079218167}{31250000} a + \frac{118056718014440500348441}{62500000} \) \( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -165 a - 631\) , \( -1824 a - 14850\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-165a-631\right){x}-1824a-14850$
20.1-c1 20.1-c \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.314258750$ $15.26503460$ 2.864017950 \( \frac{32104703}{125} a + \frac{290543569}{250} \) \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -a + 18\) , \( -1605 a + 8876\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+18\right){x}-1605a+8876$
20.1-d1 20.1-d \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.698555442$ $17.36166181$ 2.413578794 \( \frac{5849}{10} a - \frac{7022}{5} \) \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 6 a + 22\) , \( 12 a + 51\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(6a+22\right){x}+12a+51$
20.1-e1 20.1-e \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $9.354152722$ 0.930772984 \( -\frac{1460239}{1000} a - \frac{74748269}{4000} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( 29 a - 151\) , \( 247 a - 1370\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(29a-151\right){x}+247a-1370$
20.2-a1 20.2-a \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.698133822$ 2.207868412 \( -\frac{15552051}{200} a - \frac{1411969}{4} \) \( \bigl[1\) , \( -a\) , \( a\) , \( -13 a - 49\) , \( -34 a - 155\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-13a-49\right){x}-34a-155$
20.2-b1 20.2-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.826677722$ $35.06575035$ 3.204912481 \( -\frac{399186649}{160} a - \frac{360611495}{32} \) \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -a - 1\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}$
20.2-b2 20.2-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $2.480033166$ $3.896194484$ 3.204912481 \( -\frac{33018991747}{2048000} a + \frac{14593850731}{163840} \) \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 4 a + 4\) , \( 32 a + 94\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(4a+4\right){x}+32a+94$
20.2-b3 20.2-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $7.440099499$ $0.432910498$ 3.204912481 \( -\frac{13045120502973079218167}{31250000} a + \frac{5765878360815466351391}{2500000} \) \( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 164 a - 796\) , \( 1824 a - 16674\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(164a-796\right){x}+1824a-16674$
20.2-c1 20.2-c \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.314258750$ $15.26503460$ 2.864017950 \( -\frac{32104703}{125} a + \frac{14190119}{10} \) \( \bigl[a\) , \( 1\) , \( 0\) , \( a + 17\) , \( 1605 a + 7271\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(a+17\right){x}+1605a+7271$
20.2-d1 20.2-d \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.698555442$ $17.36166181$ 2.413578794 \( -\frac{5849}{10} a - \frac{1639}{2} \) \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 6 a + 30\) , \( 10 a + 45\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a+30\right){x}+10a+45$
20.2-e1 20.2-e \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 5 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $9.354152722$ 0.930772984 \( \frac{1460239}{1000} a - \frac{3223569}{160} \) \( \bigl[1\) , \( a - 1\) , \( 0\) , \( -29 a - 122\) , \( -247 a - 1123\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-29a-122\right){x}-247a-1123$
23.1-a1 23.1-a \(\Q(\sqrt{101}) \) \( 23 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.258708686$ $38.37034411$ 1.975495359 \( \frac{5167}{23} a + \frac{72696}{23} \) \( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 8 a + 38\) , \( 10 a + 45\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a+38\right){x}+10a+45$
23.1-b1 23.1-b \(\Q(\sqrt{101}) \) \( 23 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.479508602$ $16.13990941$ 3.080326841 \( \frac{374006021987}{6436343} a + \frac{1708281385917}{6436343} \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -a - 2\) , \( 2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-2\right){x}+2$
23.1-b2 23.1-b \(\Q(\sqrt{101}) \) \( 23 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.479508602$ $16.13990941$ 3.080326841 \( -\frac{955576606153}{23} a + \frac{5279566914072}{23} \) \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( -596 a - 2705\) , \( -20349 a - 92081\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-596a-2705\right){x}-20349a-92081$
23.2-a1 23.2-a \(\Q(\sqrt{101}) \) \( 23 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.258708686$ $38.37034411$ 1.975495359 \( -\frac{5167}{23} a + \frac{77863}{23} \) \( \bigl[a\) , \( a\) , \( 0\) , \( 7 a + 19\) , \( 10 a + 29\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(7a+19\right){x}+10a+29$
23.2-b1 23.2-b \(\Q(\sqrt{101}) \) \( 23 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.479508602$ $16.13990941$ 3.080326841 \( -\frac{374006021987}{6436343} a + \frac{2082287407904}{6436343} \) \( \bigl[1\) , \( -a\) , \( 1\) , \( a - 3\) , \( 2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(a-3\right){x}+2$
23.2-b2 23.2-b \(\Q(\sqrt{101}) \) \( 23 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.479508602$ $16.13990941$ 3.080326841 \( \frac{955576606153}{23} a + \frac{4323990307919}{23} \) \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 607 a - 3288\) , \( 17655 a - 97398\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(607a-3288\right){x}+17655a-97398$
25.1-a1 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.171301932$ 2.330977968 \( -\frac{119964801985712901}{95367431640625} a - \frac{299119538708793324}{95367431640625} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -205 a - 925\) , \( -4792 a - 21690\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-205a-925\right){x}-4792a-21690$
25.1-a2 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.171301932$ 2.330977968 \( -\frac{4249908337092597081}{3125} a + \frac{4696095852603791361}{625} \) \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 3415 a - 18885\) , \( 253720 a - 1401794\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3415a-18885\right){x}+253720a-1401794$
25.1-a3 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.171301932$ 2.330977968 \( \frac{119964801985712901}{95367431640625} a - \frac{16763373627780249}{3814697265625} \) \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 205 a - 1155\) , \( 4586 a - 25352\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(205a-1155\right){x}+4586a-25352$
25.1-a4 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $18.74083092$ 2.330977968 \( -\frac{527266286001}{3125} a + \frac{2913149611026}{3125} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -10 a - 40\) , \( -104 a - 470\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-10a-40\right){x}-104a-470$
25.1-a5 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.685207731$ 2.330977968 \( -\frac{113561587315449}{9765625} a + \frac{25113206197026}{390625} \) \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 210 a - 1180\) , \( 4423 a - 24447\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(210a-1180\right){x}+4423a-24447$
25.1-a6 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.685207731$ 2.330977968 \( \frac{113561587315449}{9765625} a + \frac{514268567610201}{9765625} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -210 a - 945\) , \( -4634 a - 20968\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-210a-945\right){x}-4634a-20968$
25.1-a7 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $18.74083092$ 2.330977968 \( \frac{527266286001}{3125} a + \frac{95435333001}{125} \) \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 10 a - 75\) , \( 93 a - 524\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-75\right){x}+93a-524$
25.1-a8 25.1-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.171301932$ 2.330977968 \( \frac{4249908337092597081}{3125} a + \frac{19230570925926359724}{3125} \) \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -3415 a - 15445\) , \( -257136 a - 1163518\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(-3415a-15445\right){x}-257136a-1163518$
25.2-a1 25.2-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $6.935445035$ 2.760410296 \( -\frac{3848179}{5} a - \frac{19994526}{5} \) \( \bigl[a\) , \( 0\) , \( 1\) , \( -13 a - 50\) , \( 29 a + 131\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-13a-50\right){x}+29a+131$
25.2-a2 25.2-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $6.935445035$ 2.760410296 \( \frac{198551}{3125} a + \frac{4288299}{3125} \) \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -27 a + 187\) , \( -185 a + 1067\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-27a+187\right){x}-185a+1067$
25.3-a1 25.3-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $6.935445035$ 2.760410296 \( \frac{3848179}{5} a - 4768541 \) \( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 12 a - 63\) , \( -29 a + 160\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(12a-63\right){x}-29a+160$
25.3-a2 25.3-a \(\Q(\sqrt{101}) \) \( 5^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $6.935445035$ 2.760410296 \( -\frac{198551}{3125} a + \frac{179474}{125} \) \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 27 a + 160\) , \( 185 a + 882\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(27a+160\right){x}+185a+882$
31.1-a1 31.1-a \(\Q(\sqrt{101}) \) \( 31 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $39.05829395$ 3.886445507 \( \frac{35123200}{31} a - \frac{193880064}{31} \) \( \bigl[0\) , \( 1\) , \( a + 1\) , \( -2\) , \( -a - 7\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}-2{x}-a-7$
31.2-a1 31.2-a \(\Q(\sqrt{101}) \) \( 31 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $39.05829395$ 3.886445507 \( -\frac{35123200}{31} a - \frac{158756864}{31} \) \( \bigl[0\) , \( 1\) , \( a\) , \( -2\) , \( -7\bigr] \) ${y}^2+a{y}={x}^{3}+{x}^{2}-2{x}-7$
36.1-a1 36.1-a \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 3^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $23.05611434$ 1.147084561 \( -\frac{125}{108} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -3 a - 10\) , \( 393 a + 1777\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-10\right){x}+393a+1777$
36.1-a2 36.1-a \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 3^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $23.05611434$ 1.147084561 \( \frac{114084125}{1458} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 405 a - 2225\) , \( -9297 a + 51356\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(405a-2225\right){x}-9297a+51356$
36.1-b1 36.1-b \(\Q(\sqrt{101}) \) \( 2^{2} \cdot 3^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.185842275$ 1.812215760 \( -\frac{58253143347125}{55037657088} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( -32304 a - 146168\) , \( -11438336 a - 51757760\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-32304a-146168\right){x}-11438336a-51757760$
37.1-a1 37.1-a \(\Q(\sqrt{101}) \) \( 37 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $15.56525947$ 3.097602410 \( -\frac{17375232}{1369} a + \frac{105893888}{1369} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( a + 4\) , \( a - 11\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(a+4\right){x}+a-11$
37.1-b1 37.1-b \(\Q(\sqrt{101}) \) \( 37 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $26.36878876$ 2.623792548 \( \frac{456700}{37} a - \frac{2523239}{37} \) \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 11 a - 12\) , \( -3 a + 111\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(11a-12\right){x}-3a+111$
37.1-c1 37.1-c \(\Q(\sqrt{101}) \) \( 37 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.239583287$ $21.25081451$ 4.052858127 \( -\frac{10136517844992}{1874161} a + \frac{56085506084864}{1874161} \) \( \bigl[0\) , \( a\) , \( 1\) , \( -76 a - 338\) , \( 659 a + 2980\bigr] \) ${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-76a-338\right){x}+659a+2980$
37.2-a1 37.2-a \(\Q(\sqrt{101}) \) \( 37 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $15.56525947$ 3.097602410 \( \frac{17375232}{1369} a + \frac{88518656}{1369} \) \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -a + 5\) , \( -a - 10\bigr] \) ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+5\right){x}-a-10$
37.2-b1 37.2-b \(\Q(\sqrt{101}) \) \( 37 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $26.36878876$ 2.623792548 \( -\frac{456700}{37} a - \frac{2066539}{37} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 2 a + 11\) , \( a + 4\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+11\right){x}+a+4$
37.2-c1 37.2-c \(\Q(\sqrt{101}) \) \( 37 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.239583287$ $21.25081451$ 4.052858127 \( \frac{10136517844992}{1874161} a + \frac{45948988239872}{1874161} \) \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( 76 a - 414\) , \( -659 a + 3639\bigr] \) ${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(76a-414\right){x}-659a+3639$
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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.