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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
283.1-a1 283.1-a \(\Q(\sqrt{-3}) \) \( 283 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.020644019$ $8.749902689$ 0.417154410 \( \frac{4374}{283} a + \frac{9477}{283} \) \( \bigl[1\) , \( a\) , \( a + 1\) , \( -1\) , \( -a\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}-{x}-a$
283.2-a1 283.2-a \(\Q(\sqrt{-3}) \) \( 283 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.020644019$ $8.749902689$ 0.417154410 \( -\frac{4374}{283} a + \frac{13851}{283} \) \( \bigl[1\) , \( -a + 1\) , \( a\) , \( -a\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}-a{x}$
361.2-a1 361.2-a \(\Q(\sqrt{-3}) \) \( 19^{2} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $2.033701819$ $0.935309008$ 0.488089257 \( -\frac{50357871050752}{19} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -769\) , \( -8470\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}-769{x}-8470$
361.2-a2 361.2-a \(\Q(\sqrt{-3}) \) \( 19^{2} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.225966868$ $0.935309008$ 0.488089257 \( -\frac{14306161739497472}{322687697779} a - \frac{12817090105540608}{322687697779} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( 31 a + 99\) , \( 498 a - 424\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(31a+99\right){x}+498a-424$
361.2-a3 361.2-a \(\Q(\sqrt{-3}) \) \( 19^{2} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.225966868$ $0.935309008$ 0.488089257 \( \frac{14306161739497472}{322687697779} a - \frac{27123251845038080}{322687697779} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( -99 a - 31\) , \( -498 a + 74\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-99a-31\right){x}-498a+74$
361.2-a4 361.2-a \(\Q(\sqrt{-3}) \) \( 19^{2} \) $1$ $\Z/3\Z\oplus\Z/3\Z$ $\mathrm{SU}(2)$ $0.677900606$ $2.805927025$ 0.488089257 \( -\frac{89915392}{6859} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( -9 a + 9\) , \( -15\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-9a+9\right){x}-15$
361.2-a5 361.2-a \(\Q(\sqrt{-3}) \) \( 19^{2} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.225966868$ $8.417781075$ 0.488089257 \( \frac{32768}{19} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( a - 1\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(a-1\right){x}$
379.1-a1 379.1-a \(\Q(\sqrt{-3}) \) \( 379 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.026097731$ $8.419977107$ 0.507473108 \( -\frac{113062}{379} a + \frac{420487}{379} \) \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}$
379.2-a1 379.2-a \(\Q(\sqrt{-3}) \) \( 379 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.026097731$ $8.419977107$ 0.507473108 \( \frac{113062}{379} a + \frac{307425}{379} \) \( \bigl[a + 1\) , \( 1\) , \( a\) , \( 0\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}$
412.1-a1 412.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 103 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.014974092$ $7.480035602$ 0.517337002 \( -\frac{22599}{412} a + \frac{272349}{412} \) \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -a + 1\) , \( -a\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+1\right){x}-a$
412.2-a1 412.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 103 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.014974092$ $7.480035602$ 0.517337002 \( \frac{22599}{412} a + \frac{124875}{206} \) \( \bigl[a + 1\) , \( 0\) , \( a\) , \( -a + 1\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}$
481.2-a1 481.2-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.118200834$ $8.331786658$ 0.568588478 \( -\frac{42208}{481} a - \frac{24959}{481} \) \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}$
481.2-a2 481.2-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.059100417$ $4.165893329$ 0.568588478 \( -\frac{7617412112}{231361} a + \frac{4002184503}{231361} \) \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 5\) , \( 3 a - 3\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+5{x}+3a-3$
481.3-a1 481.3-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.118200834$ $8.331786658$ 0.568588478 \( \frac{42208}{481} a - \frac{67167}{481} \) \( \bigl[1\) , \( a + 1\) , \( a\) , \( a\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
481.3-a2 481.3-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 37 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.059100417$ $4.165893329$ 0.568588478 \( \frac{7617412112}{231361} a - \frac{3615227609}{231361} \) \( \bigl[1\) , \( a + 1\) , \( a\) , \( a + 5\) , \( -3 a + 5\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+5\right){x}-3a+5$
507.2-a1 507.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 13^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.282583906$ $7.561180171$ 0.616802873 \( \frac{12167}{39} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}+{x}$
507.2-a2 507.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 13^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.141291953$ $3.780590085$ 0.616802873 \( \frac{10218313}{1521} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -4\) , \( -5\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-4{x}-5$
507.2-a3 507.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 13^{2} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $0.070645976$ $1.890295042$ 0.616802873 \( \frac{822656953}{85683} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -19\) , \( 22\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-19{x}+22$
507.2-a4 507.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 13^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.282583906$ $1.890295042$ 0.616802873 \( \frac{37159393753}{1053} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -69\) , \( -252\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-69{x}-252$
553.2-a1 553.2-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 79 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.032459368$ $8.244746797$ 0.618040249 \( \frac{45056}{553} a + \frac{65536}{553} \) \( \bigl[0\) , \( 1\) , \( a + 1\) , \( 0\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}-a$
553.3-a1 553.3-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 79 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.032459368$ $8.244746797$ 0.618040249 \( -\frac{45056}{553} a + \frac{110592}{553} \) \( \bigl[0\) , \( 1\) , \( a\) , \( 0\) , \( 0\bigr] \) ${y}^2+a{y}={x}^{3}+{x}^{2}$
579.1-a1 579.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.075774335$ $7.505847337$ 0.656736620 \( -\frac{12224}{579} a - \frac{9867}{193} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -1\) , \( -a\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}-{x}-a$
579.1-a2 579.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.151548671$ $3.752923668$ 0.656736620 \( \frac{4604240642}{111747} a + \frac{23890776935}{111747} \) \( \bigl[1\) , \( -a\) , \( a + 1\) , \( 10 a - 6\) , \( -10 a\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(10a-6\right){x}-10a$
579.2-a1 579.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.075774335$ $7.505847337$ 0.656736620 \( \frac{12224}{579} a - \frac{41825}{579} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( -a\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}-a{x}$
579.2-a2 579.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 193 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.151548671$ $3.752923668$ 0.656736620 \( -\frac{4604240642}{111747} a + \frac{28495017577}{111747} \) \( \bigl[1\) , \( a - 1\) , \( a\) , \( -11 a + 5\) , \( 9 a - 9\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a+5\right){x}+9a-9$
673.1-a1 673.1-a \(\Q(\sqrt{-3}) \) \( 673 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.039416036$ $7.914920287$ 0.720474911 \( -\frac{950272}{673} a + \frac{688128}{673} \) \( \bigl[0\) , \( a\) , \( a\) , \( a - 1\) , \( 0\bigr] \) ${y}^2+a{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}$
673.2-a1 673.2-a \(\Q(\sqrt{-3}) \) \( 673 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.039416036$ $7.914920287$ 0.720474911 \( \frac{950272}{673} a - \frac{262144}{673} \) \( \bigl[0\) , \( -a + 1\) , \( a + 1\) , \( -a\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-a{x}-a$
679.2-a1 679.2-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 97 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.034929906$ $7.994668168$ 0.644907208 \( \frac{71037}{679} a + \frac{993465}{679} \) \( \bigl[1\) , \( a\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}$
679.3-a1 679.3-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 97 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.034929906$ $7.994668168$ 0.644907208 \( -\frac{71037}{679} a + \frac{1064502}{679} \) \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}$
700.1-a1 700.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.050710775$ $5.988646760$ 0.701339516 \( \frac{152207}{196} a + \frac{317396}{245} \) \( \bigl[1\) , \( 0\) , \( a + 1\) , \( a - 1\) , \( -a\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}-a$
700.1-a2 700.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.101421550$ $2.994323380$ 0.701339516 \( -\frac{1668770723}{24010} a + \frac{6868996887}{120050} \) \( \bigl[1\) , \( 0\) , \( a + 1\) , \( 11 a - 1\) , \( a + 14\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(11a-1\right){x}+a+14$
700.2-a1 700.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.050710775$ $5.988646760$ 0.701339516 \( -\frac{152207}{196} a + \frac{2030619}{980} \) \( \bigl[1\) , \( 0\) , \( a\) , \( -2 a + 1\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-2a+1\right){x}$
700.2-a2 700.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.101421550$ $2.994323380$ 0.701339516 \( \frac{1668770723}{24010} a - \frac{737428364}{60025} \) \( \bigl[1\) , \( 0\) , \( a\) , \( -12 a + 11\) , \( -2 a + 16\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-12a+11\right){x}-2a+16$
703.2-a1 703.2-a \(\Q(\sqrt{-3}) \) \( 19 \cdot 37 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.113802202$ $2.673687979$ 0.702685116 \( \frac{200000710493}{347428927} a - \frac{176021954063}{347428927} \) \( \bigl[1\) , \( 0\) , \( a\) , \( -5 a\) , \( -8 a + 7\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-5a{x}-8a+7$
703.2-a2 703.2-a \(\Q(\sqrt{-3}) \) \( 19 \cdot 37 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.341406607$ $8.021063937$ 0.702685116 \( -\frac{328275}{703} a + \frac{359234}{703} \) \( \bigl[a + 1\) , \( -a\) , \( a\) , \( -a\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}-a{x}$
703.3-a1 703.3-a \(\Q(\sqrt{-3}) \) \( 19 \cdot 37 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.113802202$ $2.673687979$ 0.702685116 \( -\frac{200000710493}{347428927} a + \frac{23978756430}{347428927} \) \( \bigl[1\) , \( 0\) , \( a + 1\) , \( 4 a - 5\) , \( 7 a - 1\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(4a-5\right){x}+7a-1$
703.3-a2 703.3-a \(\Q(\sqrt{-3}) \) \( 19 \cdot 37 \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.341406607$ $8.021063937$ 0.702685116 \( \frac{328275}{703} a + \frac{30959}{703} \) \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -a\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}-a{x}-a$
721.2-a1 721.2-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 103 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.024305426$ $6.476558615$ 0.727071148 \( -\frac{16418226}{5047} a + \frac{20582839}{5047} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( a - 1\) , \( a - 1\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(a-1\right){x}+a-1$
721.3-a1 721.3-a \(\Q(\sqrt{-3}) \) \( 7 \cdot 103 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.024305426$ $6.476558615$ 0.727071148 \( \frac{16418226}{5047} a + \frac{4164613}{5047} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -a\) , \( -a\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-a{x}-a$
723.1-a1 723.1-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 241 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.022130156$ $7.253556061$ 0.741420883 \( -\frac{4096}{241} a + \frac{1183744}{723} \) \( \bigl[0\) , \( -a + 1\) , \( a\) , \( -1\) , \( 0\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a+1\right){x}^{2}-{x}$
723.2-a1 723.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 241 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.022130156$ $7.253556061$ 0.741420883 \( \frac{4096}{241} a + \frac{1171456}{723} \) \( \bigl[0\) , \( a\) , \( a + 1\) , \( -1\) , \( -a\bigr] \) ${y}^2+\left(a+1\right){y}={x}^{3}+a{x}^{2}-{x}-a$
793.1-a1 793.1-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 61 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.159905183$ $8.015887349$ 0.740037145 \( -\frac{67529}{793} a + \frac{53952}{793} \) \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( a\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}$
793.1-a2 793.1-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 61 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.079952591$ $4.007943674$ 0.740037145 \( \frac{5372259095}{628849} a + \frac{5563211089}{628849} \) \( \bigl[1\) , \( -a - 1\) , \( 0\) , \( -4 a\) , \( 7 a - 4\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4a{x}+7a-4$
793.4-a1 793.4-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 61 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.159905183$ $8.015887349$ 0.740037145 \( \frac{67529}{793} a - \frac{13577}{793} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( a\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
793.4-a2 793.4-a \(\Q(\sqrt{-3}) \) \( 13 \cdot 61 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.079952591$ $4.007943674$ 0.740037145 \( -\frac{5372259095}{628849} a + \frac{10935470184}{628849} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 6 a - 5\) , \( -2 a - 2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-2a-2$
832.1-a1 832.1-a \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.096512155$ $6.962250664$ 0.775891583 \( \frac{13568}{13} a + \frac{5632}{13} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2={x}^{3}-a{x}^{2}-{x}$
832.1-a2 832.1-a \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.048256077$ $3.481125332$ 0.775891583 \( -\frac{301712}{169} a + \frac{465744}{169} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 4\) , \( -4 a\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+4{x}-4a$
832.2-a1 832.2-a \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.096512155$ $6.962250664$ 0.775891583 \( -\frac{13568}{13} a + \frac{19200}{13} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}-{x}$
832.2-a2 832.2-a \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 13 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.048256077$ $3.481125332$ 0.775891583 \( \frac{301712}{169} a + \frac{164032}{169} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 4\) , \( 4 a - 4\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+4{x}+4a-4$
837.1-a1 837.1-a \(\Q(\sqrt{-3}) \) \( 3^{3} \cdot 31 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.018108707$ $6.605155465$ 0.828688140 \( \frac{5324}{31} a + \frac{9317}{31} \) \( \bigl[1\) , \( a\) , \( a\) , \( -1\) , \( 0\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}-{x}$
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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.