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Results (48 matches)

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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
49152.1-a1 49152.1-a \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.263184633$ $2.454726994$ 2.983960614 \( \frac{10336}{3} a - 1344 \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( a + 8\) , \( 8 a - 7\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(a+8\right){x}+8a-7$
49152.1-a2 49152.1-a \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.526369266$ $4.909453989$ 2.983960614 \( -\frac{4736}{3} a + \frac{2176}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( a - 2\) , \( 2 a - 1\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(a-2\right){x}+2a-1$
49152.1-b1 49152.1-b \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.193042724$ $2.146294034$ 3.827383780 \( \frac{4000}{9} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a\) , \( 9\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}-7a{x}+9$
49152.1-b2 49152.1-b \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.193042724$ $4.292588069$ 3.827383780 \( \frac{16000}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 3 a\) , \( 3\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+3a{x}+3$
49152.1-c1 49152.1-c \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.054849002$ 1.186367624 \( -\frac{219488}{729} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 6 a\) , \( 18\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+6a{x}+18$
49152.1-c2 49152.1-c \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.027424501$ 1.186367624 \( \frac{19056256}{27} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 141 a\) , \( 693\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+141a{x}+693$
49152.1-d1 49152.1-d \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.702555855$ $3.467222156$ 2.812754934 \( -\frac{32224}{27} a + \frac{76576}{27} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( a + 4\) , \( -3 a\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(a+4\right){x}-3a$
49152.1-d2 49152.1-d \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.405111710$ $1.733611078$ 2.812754934 \( \frac{290176}{9} a + \frac{48640}{9} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 16 a + 19\) , \( 48 a - 75\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(16a+19\right){x}+48a-75$
49152.1-e1 49152.1-e \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.142615817$ $2.454726994$ 3.238715492 \( \frac{4736}{3} a - \frac{2560}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3 a + 8\) , \( 8 a - 3\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-3a+8\right){x}+8a-3$
49152.1-e2 49152.1-e \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.571307908$ $4.909453989$ 3.238715492 \( -\frac{10336}{3} a + \frac{6304}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 2 a - 2\) , \( 2 a\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-2\right){x}+2a$
49152.1-f1 49152.1-f \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.702555855$ $3.467222156$ 2.812754934 \( \frac{32224}{27} a + \frac{4928}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 5 a - 4\) , \( 3 a - 3\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(5a-4\right){x}+3a-3$
49152.1-f2 49152.1-f \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.405111710$ $1.733611078$ 2.812754934 \( -\frac{290176}{9} a + \frac{338816}{9} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 35 a - 19\) , \( -48 a - 27\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(35a-19\right){x}-48a-27$
49152.1-g1 49152.1-g \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.733611078$ 2.001801645 \( \frac{32224}{27} a + \frac{4928}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -15 a - 4\) , \( -20 a + 5\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-15a-4\right){x}-20a+5$
49152.1-g2 49152.1-g \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.467222156$ 2.001801645 \( -\frac{290176}{9} a + \frac{338816}{9} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -5 a - 4\) , \( 8 a - 1\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a-4\right){x}+8a-1$
49152.1-h1 49152.1-h \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.526369266$ $4.909453989$ 2.983960614 \( \frac{4736}{3} a - \frac{2560}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -a + 2\) , \( -2 a + 1\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+2\right){x}-2a+1$
49152.1-h2 49152.1-h \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.263184633$ $2.454726994$ 2.983960614 \( -\frac{10336}{3} a + \frac{6304}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 9 a - 8\) , \( -8 a + 1\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(9a-8\right){x}-8a+1$
49152.1-i1 49152.1-i \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.733611078$ 2.001801645 \( -\frac{32224}{27} a + \frac{76576}{27} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a + 15\) , \( 20 a - 15\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(4a+15\right){x}+20a-15$
49152.1-i2 49152.1-i \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.467222156$ 2.001801645 \( \frac{290176}{9} a + \frac{48640}{9} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a + 5\) , \( -8 a + 7\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(4a+5\right){x}-8a+7$
49152.1-j1 49152.1-j \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.027424501$ 2.372735248 \( -\frac{219488}{729} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -25 a + 25\) , \( -119\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-25a+25\right){x}-119$
49152.1-j2 49152.1-j \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.054849002$ 2.372735248 \( \frac{19056256}{27} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -35 a + 35\) , \( -69\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-35a+35\right){x}-69$
49152.1-k1 49152.1-k \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.292588069$ 2.478326877 \( \frac{4000}{9} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 2\) , \( -2\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(2a-2\right){x}-2$
49152.1-k2 49152.1-k \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.146294034$ 2.478326877 \( \frac{16000}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 13\) , \( -11\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(-13a+13\right){x}-11$
49152.1-l1 49152.1-l \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.571307908$ $4.909453989$ 3.238715492 \( \frac{10336}{3} a - 1344 \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 2 a - 2\) , \( -2 a + 2\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(2a-2\right){x}-2a+2$
49152.1-l2 49152.1-l \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.142615817$ $2.454726994$ 3.238715492 \( -\frac{4736}{3} a + \frac{2176}{3} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -8 a + 3\) , \( -8 a + 5\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-8a+3\right){x}-8a+5$
49152.1-m1 49152.1-m \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.708778614$ $4.909453989$ 4.018029934 \( \frac{10336}{3} a - 1344 \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a\) , \( 2 a - 2\bigr] \) ${y}^2={x}^{3}-a{x}^{2}-2a{x}+2a-2$
49152.1-m2 49152.1-m \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.417557229$ $2.454726994$ 4.018029934 \( -\frac{4736}{3} a + \frac{2176}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 3 a + 5\) , \( 8 a - 5\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(3a+5\right){x}+8a-5$
49152.1-n1 49152.1-n \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.135844784$ $1.027424501$ 3.867884495 \( -\frac{219488}{729} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -25\) , \( 119\bigr] \) ${y}^2={x}^{3}+{x}^{2}-25{x}+119$
49152.1-n2 49152.1-n \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.271689568$ $2.054849002$ 3.867884495 \( \frac{19056256}{27} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -35\) , \( 69\bigr] \) ${y}^2={x}^{3}+{x}^{2}-35{x}+69$
49152.1-o1 49152.1-o \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.424185996$ $4.292588069$ 4.205086228 \( \frac{4000}{9} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 2\) , \( 2\bigr] \) ${y}^2={x}^{3}+{x}^{2}+2{x}+2$
49152.1-o2 49152.1-o \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.848371993$ $2.146294034$ 4.205086228 \( \frac{16000}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -13\) , \( 11\bigr] \) ${y}^2={x}^{3}+{x}^{2}-13{x}+11$
49152.1-p1 49152.1-p \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.174863789$ $1.733611078$ 4.200511455 \( -\frac{32224}{27} a + \frac{76576}{27} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 4 a + 15\) , \( -20 a + 15\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(4a+15\right){x}-20a+15$
49152.1-p2 49152.1-p \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.349727578$ $3.467222156$ 4.200511455 \( \frac{290176}{9} a + \frac{48640}{9} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 4 a + 5\) , \( 8 a - 7\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(4a+5\right){x}+8a-7$
49152.1-q1 49152.1-q \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.909453989$ 2.834474582 \( \frac{4736}{3} a - \frac{2560}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -a - 1\) , \( 2 a - 1\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-a-1\right){x}+2a-1$
49152.1-q2 49152.1-q \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.454726994$ 2.834474582 \( -\frac{10336}{3} a + \frac{6304}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -a + 9\) , \( 8 a - 1\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-a+9\right){x}+8a-1$
49152.1-r1 49152.1-r \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.174863789$ $1.733611078$ 4.200511455 \( \frac{32224}{27} a + \frac{4928}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 19 a - 15\) , \( 20 a - 5\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(19a-15\right){x}+20a-5$
49152.1-r2 49152.1-r \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.349727578$ $3.467222156$ 4.200511455 \( -\frac{290176}{9} a + \frac{338816}{9} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 9 a - 5\) , \( -8 a + 1\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(9a-5\right){x}-8a+1$
49152.1-s1 49152.1-s \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.374322969$ $3.467222156$ 4.495922012 \( \frac{32224}{27} a + \frac{4928}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 5 a - 4\) , \( -3 a + 3\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(5a-4\right){x}-3a+3$
49152.1-s2 49152.1-s \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.748645938$ $1.733611078$ 4.495922012 \( -\frac{290176}{9} a + \frac{338816}{9} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 35 a - 19\) , \( 48 a + 27\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(35a-19\right){x}+48a+27$
49152.1-t1 49152.1-t \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.417557229$ $2.454726994$ 4.018029934 \( \frac{4736}{3} a - \frac{2560}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 8 a - 5\) , \( -8 a + 3\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(8a-5\right){x}-8a+3$
49152.1-t2 49152.1-t \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.708778614$ $4.909453989$ 4.018029934 \( -\frac{10336}{3} a + \frac{6304}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -2 a\) , \( -2 a\bigr] \) ${y}^2={x}^{3}+{x}^{2}-2a{x}-2a$
49152.1-u1 49152.1-u \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.374322969$ $3.467222156$ 4.495922012 \( -\frac{32224}{27} a + \frac{76576}{27} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( a + 4\) , \( 3 a\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(a+4\right){x}+3a$
49152.1-u2 49152.1-u \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.748645938$ $1.733611078$ 4.495922012 \( \frac{290176}{9} a + \frac{48640}{9} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 16 a + 19\) , \( -48 a + 75\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(16a+19\right){x}-48a+75$
49152.1-v1 49152.1-v \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.233061224$ $2.146294034$ 4.620815173 \( \frac{4000}{9} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 7\) , \( -9\bigr] \) ${y}^2={x}^{3}+{x}^{2}+7{x}-9$
49152.1-v2 49152.1-v \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.466122448$ $4.292588069$ 4.620815173 \( \frac{16000}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -3\) , \( -3\bigr] \) ${y}^2={x}^{3}+{x}^{2}-3{x}-3$
49152.1-w1 49152.1-w \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.331892912$ $2.054849002$ 4.724964074 \( -\frac{219488}{729} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -6\) , \( -18\bigr] \) ${y}^2={x}^{3}+{x}^{2}-6{x}-18$
49152.1-w2 49152.1-w \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.663785825$ $1.027424501$ 4.724964074 \( \frac{19056256}{27} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -141\) , \( -693\bigr] \) ${y}^2={x}^{3}+{x}^{2}-141{x}-693$
49152.1-x1 49152.1-x \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.454726994$ 2.834474582 \( \frac{10336}{3} a - 1344 \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 8 a - 9\) , \( -8 a + 7\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(8a-9\right){x}-8a+7$
49152.1-x2 49152.1-x \(\Q(\sqrt{-3}) \) \( 2^{14} \cdot 3 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.909453989$ 2.834474582 \( -\frac{4736}{3} a + \frac{2176}{3} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -2 a + 1\) , \( -2 a + 1\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-2a+1\right){x}-2a+1$
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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.