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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
44800.5-a1 44800.5-a \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.479507506$ $0.597444024$ 6.929846033 \( -\frac{225637236736}{1715} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -805\) , \( 9065\bigr] \) ${y}^2={x}^{3}-{x}^{2}-805{x}+9065$
44800.5-a2 44800.5-a \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.053278611$ $1.792332073$ 6.929846033 \( -\frac{65536}{875} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -5\) , \( 25\bigr] \) ${y}^2={x}^{3}-{x}^{2}-5{x}+25$
44800.5-b1 44800.5-b \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.193743800$ 2.636217845 \( -\frac{250523582464}{13671875} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -2101\) , \( 39485\bigr] \) ${y}^2={x}^{3}-{x}^{2}-2101{x}+39485$
44800.5-b2 44800.5-b \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.743694205$ 2.636217845 \( -\frac{262144}{35} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -21\) , \( -35\bigr] \) ${y}^2={x}^{3}-{x}^{2}-21{x}-35$
44800.5-b3 44800.5-b \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.581231401$ 2.636217845 \( \frac{71991296}{42875} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 139\) , \( 61\bigr] \) ${y}^2={x}^{3}-{x}^{2}+139{x}+61$
44800.5-c1 44800.5-c \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.414363941$ $1.645370059$ 4.123030127 \( -\frac{1457}{140} a + \frac{563}{350} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3 a + 2\) , \( -20 a + 24\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-3a+2\right){x}-20a+24$
44800.5-c2 44800.5-c \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.207181970$ $1.645370059$ 4.123030127 \( -\frac{1889729}{70} a + \frac{1616511}{35} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 27 a - 17\) , \( -44 a - 44\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(27a-17\right){x}-44a-44$
44800.5-d1 44800.5-d \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.414363941$ $1.645370059$ 4.123030127 \( \frac{1457}{140} a - \frac{6159}{700} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 3 a - 1\) , \( 20 a + 4\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(3a-1\right){x}+20a+4$
44800.5-d2 44800.5-d \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.207181970$ $1.645370059$ 4.123030127 \( \frac{1889729}{70} a + \frac{191899}{10} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -27 a + 10\) , \( 44 a - 88\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-27a+10\right){x}+44a-88$
44800.5-e1 44800.5-e \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.518919231$ $1.691512904$ 5.308184923 \( \frac{249856}{245} a + \frac{421888}{245} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 10\) , \( a - 14\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-13a+10\right){x}+a-14$
44800.5-f1 44800.5-f \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.518919231$ $1.691512904$ 5.308184923 \( -\frac{249856}{245} a + \frac{671744}{245} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 13 a - 3\) , \( -a - 13\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-3\right){x}-a-13$
44800.5-g1 44800.5-g \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.285530937$ $0.717053939$ 4.955413474 \( \frac{741041193}{36700160} a + \frac{196817993}{7340032} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -21 a + 7\) , \( -76 a - 312\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-21a+7\right){x}-76a-312$
44800.5-g2 44800.5-g \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.571382734$ $0.717053939$ 4.955413474 \( \frac{68488403}{140000} a + \frac{540576223}{140000} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -85 a + 39\) , \( 172 a - 292\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-85a+39\right){x}+172a-292$
44800.5-g3 44800.5-g \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.142765468$ $0.717053939$ 4.955413474 \( -\frac{523907907}{179200} a + \frac{3285243089}{179200} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -27 a + 162\) , \( -436 a - 36\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-27a+162\right){x}-436a-36$
44800.5-g4 44800.5-g \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.285530937$ $0.358526969$ 4.955413474 \( -\frac{739298508457}{7840} a + \frac{457662685527}{1568} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -427 a + 2562\) , \( -31556 a - 196\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-427a+2562\right){x}-31556a-196$
44800.5-h1 44800.5-h \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.285530937$ $0.717053939$ 4.955413474 \( -\frac{741041193}{36700160} a + \frac{862565579}{18350080} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 21 a - 14\) , \( 76 a - 388\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(21a-14\right){x}+76a-388$
44800.5-h2 44800.5-h \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.571382734$ $0.717053939$ 4.955413474 \( -\frac{68488403}{140000} a + \frac{304532313}{70000} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 85 a - 46\) , \( -172 a - 120\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(85a-46\right){x}-172a-120$
44800.5-h3 44800.5-h \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.142765468$ $0.717053939$ 4.955413474 \( \frac{523907907}{179200} a + \frac{1380667591}{89600} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 27 a + 135\) , \( 436 a - 472\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(27a+135\right){x}+436a-472$
44800.5-h4 44800.5-h \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.285530937$ $0.358526969$ 4.955413474 \( \frac{739298508457}{7840} a + \frac{774507459589}{3920} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 427 a + 2135\) , \( 31556 a - 31752\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(427a+2135\right){x}+31556a-31752$
44800.5-i1 44800.5-i \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.765755385$ 2.315426645 \( \frac{20982133257}{245} a - \frac{30739471907}{245} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -361 a + 303\) , \( -1284 a + 4748\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-361a+303\right){x}-1284a+4748$
44800.5-i2 44800.5-i \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.382877692$ 2.315426645 \( \frac{1326891193}{588245} a - \frac{556450233}{588245} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 213 a + 114\) , \( -84 a - 2884\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(213a+114\right){x}-84a-2884$
44800.5-i3 44800.5-i \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.765755385$ 2.315426645 \( -\frac{68333367}{8575} a - \frac{16129}{25} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 13 a + 114\) , \( -364 a + 236\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(13a+114\right){x}-364a+236$
44800.5-i4 44800.5-i \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.765755385$ 2.315426645 \( \frac{416137}{30625} a - \frac{15640069}{30625} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -5 a + 55\) , \( -252 a + 56\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-5a+55\right){x}-252a+56$
44800.5-j1 44800.5-j \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.765755385$ 2.315426645 \( -\frac{20982133257}{245} a - \frac{1951467730}{49} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 361 a - 58\) , \( 1284 a + 3464\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(361a-58\right){x}+1284a+3464$
44800.5-j2 44800.5-j \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.765755385$ 2.315426645 \( \frac{68333367}{8575} a - \frac{73865614}{8575} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -13 a + 127\) , \( 364 a - 128\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-13a+127\right){x}+364a-128$
44800.5-j3 44800.5-j \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.765755385$ 2.315426645 \( -\frac{416137}{30625} a - \frac{15223932}{30625} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 5 a + 50\) , \( 252 a - 196\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(5a+50\right){x}+252a-196$
44800.5-j4 44800.5-j \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.382877692$ 2.315426645 \( -\frac{1326891193}{588245} a + \frac{154088192}{117649} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -213 a + 327\) , \( 84 a - 2968\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-213a+327\right){x}+84a-2968$
44800.5-k1 44800.5-k \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.457060343$ 3.455051437 \( -\frac{30211716096}{1071875} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -412\) , \( -3316\bigr] \) ${y}^2={x}^{3}-412{x}-3316$
44800.5-l1 44800.5-l \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.168671230$ 3.060083166 \( \frac{185012985079}{78400000} a - \frac{650824056453}{196000000} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 57 a + 1914\) , \( 27314 a - 22200\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(57a+1914\right){x}+27314a-22200$
44800.5-l2 44800.5-l \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.168671230$ 3.060083166 \( -\frac{9103345957169}{11239424000} a - \frac{4743040859549}{5619712000} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 536 a + 1120\) , \( 21632 a - 26860\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(536a+1120\right){x}+21632a-26860$
44800.5-l3 44800.5-l \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.506013690$ 3.060083166 \( -\frac{3747996503}{9175040} a + \frac{81235193761}{45875200} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -23 a - 166\) , \( -126 a + 616\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-23a-166\right){x}-126a+616$
44800.5-l4 44800.5-l \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.056223743$ 3.060083166 \( \frac{41282203518025836237719}{630503947831869440} a + \frac{73009411794585148408203}{315251973915934720} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -30264 a + 23520\) , \( 1086752 a - 3364460\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-30264a+23520\right){x}+1086752a-3364460$
44800.5-l5 44800.5-l \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.506013690$ 3.060083166 \( -\frac{13113497519}{17920} a + \frac{6018146637}{17920} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 456 a - 320\) , \( 3872 a + 1108\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(456a-320\right){x}+3872a+1108$
44800.5-l6 44800.5-l \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.056223743$ 3.060083166 \( \frac{810722517917135481181}{23488102400} a + \frac{525145258848812643673}{11744051200} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10057 a + 157914\) , \( 19030114 a - 12691800\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(10057a+157914\right){x}+19030114a-12691800$
44800.5-m1 44800.5-m \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.506013690$ 3.060083166 \( \frac{13113497519}{17920} a - \frac{3547675441}{8960} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -456 a + 136\) , \( -3872 a + 4980\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-456a+136\right){x}-3872a+4980$
44800.5-m2 44800.5-m \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.168671230$ 3.060083166 \( \frac{9103345957169}{11239424000} a - \frac{2655632525181}{1605632000} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -536 a + 1656\) , \( -21632 a - 5228\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-536a+1656\right){x}-21632a-5228$
44800.5-m3 44800.5-m \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.168671230$ 3.060083166 \( -\frac{185012985079}{78400000} a - \frac{376583187511}{392000000} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -55 a + 1970\) , \( -27370 a + 7084\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-55a+1970\right){x}-27370a+7084$
44800.5-m4 44800.5-m \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.506013690$ 3.060083166 \( \frac{3747996503}{9175040} a + \frac{31247605623}{22937600} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a - 190\) , \( 150 a + 300\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(25a-190\right){x}+150a+300$
44800.5-m5 44800.5-m \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.056223743$ 3.060083166 \( -\frac{41282203518025836237719}{630503947831869440} a + \frac{37460205421439226610825}{126100789566373888} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 30264 a - 6744\) , \( -1086752 a - 2277708\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(30264a-6744\right){x}-1086752a-2277708$
44800.5-m6 44800.5-m \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.056223743$ 3.060083166 \( -\frac{810722517917135481181}{23488102400} a + \frac{1861013035614760768527}{23488102400} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -10055 a + 167970\) , \( -19040170 a + 6506284\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-10055a+167970\right){x}-19040170a+6506284$
44800.5-n1 44800.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.227882656$ $0.924987233$ 3.434263157 \( \frac{385902711}{8960} a - \frac{838409589}{4480} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -96 a - 11\) , \( 480 a - 326\bigr] \) ${y}^2={x}^{3}+\left(-96a-11\right){x}+480a-326$
44800.5-n2 44800.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.227882656$ $0.924987233$ 3.434263157 \( -\frac{385902711}{8960} a - \frac{1290916467}{8960} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 96 a - 107\) , \( -480 a + 154\bigr] \) ${y}^2={x}^{3}+\left(96a-107\right){x}-480a+154$
44800.5-n3 44800.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.613941328$ $0.924987233$ 3.434263157 \( \frac{1367631}{2800} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 37\) , \( 138\bigr] \) ${y}^2={x}^{3}+37{x}+138$
44800.5-n4 44800.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.227882656$ $0.462493616$ 3.434263157 \( \frac{611960049}{122500} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -283\) , \( 1482\bigr] \) ${y}^2={x}^{3}-283{x}+1482$
44800.5-n5 44800.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.455765312$ $0.231246808$ 3.434263157 \( \frac{74565301329}{5468750} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -1403\) , \( -18902\bigr] \) ${y}^2={x}^{3}-1403{x}-18902$
44800.5-n6 44800.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.613941328$ $0.231246808$ 3.434263157 \( \frac{2121328796049}{120050} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -4283\) , \( 107882\bigr] \) ${y}^2={x}^{3}-4283{x}+107882$
44800.5-o1 44800.5-o \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.623515903$ $3.073025053$ 5.793681315 \( -\frac{1024}{35} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( -5\bigr] \) ${y}^2={x}^{3}+{x}^{2}-{x}-5$
44800.5-p1 44800.5-p \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.128582376$ $0.837054176$ 6.508875730 \( \frac{14155776}{84035} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 32\) , \( -212\bigr] \) ${y}^2={x}^{3}+32{x}-212$
44800.5-q1 44800.5-q \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.287265324$ $1.769246686$ 6.147132220 \( \frac{154207}{140} a + \frac{8767}{70} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 14\) , \( -10 a + 12\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-14\right){x}-10a+12$
44800.5-q2 44800.5-q \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.574530648$ $1.769246686$ 6.147132220 \( -\frac{103823}{70} a + \frac{311469}{175} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 16\) , \( -16 a + 4\bigr] \) ${y}^2={x}^{3}+{x}^{2}+16{x}-16a+4$
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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.