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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
9.1-a1 9.1-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-7$ $N(\mathrm{U}(1))$ $1$ $7.552855534$ 1.276665598 \( -3375 \) \( \bigl[1\) , \( -1\) , \( a\) , \( 2 a + 3\) , \( -a - 10\bigr] \) ${y}^2+{x}{y}+a{y}={x}^3-{x}^2+\left(2a+3\right){x}-a-10$
9.1-a2 9.1-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-7$ $N(\mathrm{U}(1))$ $1$ $7.552855534$ 1.276665598 \( -3375 \) \( \bigl[a\) , \( -a\) , \( 0\) , \( a\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^3-a{x}^2+a{x}$
9.1-a3 9.1-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-28$ $N(\mathrm{U}(1))$ $1$ $3.776427767$ 1.276665598 \( 16581375 \) \( \bigl[a\) , \( -a\) , \( 0\) , \( -4 a\) , \( 12 a - 27\bigr] \) ${y}^2+a{x}{y}={x}^3-a{x}^2-4a{x}+12a-27$
9.1-a4 9.1-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-28$ $N(\mathrm{U}(1))$ $1$ $3.776427767$ 1.276665598 \( 16581375 \) \( \bigl[1\) , \( -1\) , \( a\) , \( 42 a + 48\) , \( -18 a - 667\bigr] \) ${y}^2+{x}{y}+a{y}={x}^3-{x}^2+\left(42a+48\right){x}-18a-667$
9.3-a1 9.3-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-7$ $N(\mathrm{U}(1))$ $1$ $7.552855534$ 1.276665598 \( -3375 \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -a + 1\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^3-{x}^2+\left(-a+1\right){x}$
9.3-a2 9.3-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-7$ $N(\mathrm{U}(1))$ $1$ $7.552855534$ 1.276665598 \( -3375 \) \( \bigl[a\) , \( -a\) , \( 1\) , \( -2 a\) , \( -a + 2\bigr] \) ${y}^2+a{x}{y}+{y}={x}^3-a{x}^2-2a{x}-a+2$
9.3-a3 9.3-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-28$ $N(\mathrm{U}(1))$ $1$ $3.776427767$ 1.276665598 \( 16581375 \) \( \bigl[a\) , \( -a\) , \( 1\) , \( -47 a\) , \( -145 a + 326\bigr] \) ${y}^2+a{x}{y}+{y}={x}^3-a{x}^2-47a{x}-145a+326$
9.3-a4 9.3-a \(\Q(\sqrt{-35}) \) \( 3^{2} \) 0 $\Z/2\Z$ $-28$ $N(\mathrm{U}(1))$ $1$ $3.776427767$ 1.276665598 \( 16581375 \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 4 a - 4\) , \( -12 a - 15\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^3-{x}^2+\left(4a-4\right){x}-12a-15$
27.2-a1 27.2-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.726183581$ 1.167113118 \( \frac{423756935}{531441} a + \frac{2520558145}{531441} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -6 a - 5\) , \( 14 a - 39\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+\left(-a-1\right){x}^2+\left(-6a-5\right){x}+14a-39$
27.2-a2 27.2-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.726183581$ 1.167113118 \( -\frac{423756935}{531441} a + \frac{327146120}{59049} \) \( \bigl[1\) , \( -1\) , \( a + 1\) , \( 61 a - 77\) , \( 235 a + 303\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^3-{x}^2+\left(61a-77\right){x}+235a+303$
27.2-a3 27.2-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.452367163$ 1.167113118 \( \frac{1314665}{729} a + \frac{707095}{81} \) \( \bigl[a\) , \( a\) , \( 1\) , \( 16 a\) , \( 18 a + 47\bigr] \) ${y}^2+a{x}{y}+{y}={x}^3+a{x}^2+16a{x}+18a+47$
27.2-a4 27.2-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.452367163$ 1.167113118 \( -\frac{1314665}{729} a + \frac{7678520}{729} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -a - 5\) , \( -3\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+\left(-a-1\right){x}^2+\left(-a-5\right){x}-3$
27.2-b1 27.2-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.376040148$ $1.726183581$ 1.755525560 \( \frac{423756935}{531441} a + \frac{2520558145}{531441} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 50 a + 70\) , \( 22 a - 1196\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+\left(a-1\right){x}^2+\left(50a+70\right){x}+22a-1196$
27.2-b2 27.2-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.128120444$ $1.726183581$ 1.755525560 \( -\frac{423756935}{531441} a + \frac{327146120}{59049} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -10 a - 5\) , \( 12 a + 20\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+\left(a-1\right){x}^2+\left(-10a-5\right){x}+12a+20$
27.2-b3 27.2-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $2.256240889$ $3.452367163$ 1.755525560 \( \frac{1314665}{729} a + \frac{707095}{81} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -5 a - 5\) , \( 20\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+\left(a-1\right){x}^2+\left(-5a-5\right){x}+20$
27.2-b4 27.2-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.752080296$ $3.452367163$ 1.755525560 \( -\frac{1314665}{729} a + \frac{7678520}{729} \) \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 10 a + 25\) , \( -8 a + 46\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^3+\left(a-1\right){x}^2+\left(10a+25\right){x}-8a+46$
27.3-a1 27.3-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.726183581$ 1.167113118 \( \frac{423756935}{531441} a + \frac{2520558145}{531441} \) \( \bigl[1\) , \( -1\) , \( a\) , \( -62 a - 15\) , \( -236 a + 539\bigr] \) ${y}^2+{x}{y}+a{y}={x}^3-{x}^2+\left(-62a-15\right){x}-236a+539$
27.3-a2 27.3-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.726183581$ 1.167113118 \( -\frac{423756935}{531441} a + \frac{327146120}{59049} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 8 a - 11\) , \( -7 a - 36\bigr] \) ${y}^2+{x}{y}={x}^3+\left(a+1\right){x}^2+\left(8a-11\right){x}-7a-36$
27.3-a3 27.3-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.452367163$ 1.167113118 \( \frac{1314665}{729} a + \frac{707095}{81} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 3 a - 6\) , \( 2 a - 9\bigr] \) ${y}^2+{x}{y}={x}^3+\left(a+1\right){x}^2+\left(3a-6\right){x}+2a-9$
27.3-a4 27.3-a \(\Q(\sqrt{-35}) \) \( 3^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.452367163$ 1.167113118 \( -\frac{1314665}{729} a + \frac{7678520}{729} \) \( \bigl[1\) , \( -1\) , \( a\) , \( -17 a - 15\) , \( 52 a - 28\bigr] \) ${y}^2+{x}{y}+a{y}={x}^3-{x}^2+\left(-17a-15\right){x}+52a-28$
27.3-b1 27.3-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.128120444$ $1.726183581$ 1.755525560 \( \frac{423756935}{531441} a + \frac{2520558145}{531441} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( 6 a - 5\) , \( -12 a - 33\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3+\left(a+1\right){x}^2+\left(6a-5\right){x}-12a-33$
27.3-b2 27.3-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.376040148$ $1.726183581$ 1.755525560 \( -\frac{423756935}{531441} a + \frac{327146120}{59049} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( -54 a + 130\) , \( 53 a - 699\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3+\left(a+1\right){x}^2+\left(-54a+130\right){x}+53a-699$
27.3-b3 27.3-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.752080296$ $3.452367163$ 1.755525560 \( \frac{1314665}{729} a + \frac{707095}{81} \) \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -20 a + 16\) , \( 44 a - 107\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^3-{x}^2+\left(-20a+16\right){x}+44a-107$
27.3-b4 27.3-b \(\Q(\sqrt{-35}) \) \( 3^{3} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $2.256240889$ $3.452367163$ 1.755525560 \( -\frac{1314665}{729} a + \frac{7678520}{729} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( a\) , \( 0\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3+\left(a+1\right){x}^2+a{x}$
28.1-a1 28.1-a \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.208472088$ $0.875417135$ 1.110532924 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-171{x}-874$
28.1-a2 28.1-a \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.876248795$ $7.878754216$ 1.110532924 \( -\frac{15625}{28} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-{x}$
28.1-a3 28.1-a \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $0.625416265$ $2.626251405$ 1.110532924 \( \frac{9938375}{21952} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( -6\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+4{x}-6$
28.1-a4 28.1-a \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $1.250832530$ $1.313125702$ 1.110532924 \( \frac{4956477625}{941192} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -36\) , \( -70\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-36{x}-70$
28.1-a5 28.1-a \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $3.752497591$ $3.939377108$ 1.110532924 \( \frac{128787625}{98} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -11\) , \( 12\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-11{x}+12$
28.1-a6 28.1-a \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.416944176$ $0.437708567$ 1.110532924 \( \frac{2251439055699625}{25088} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \) ${y}^2+{x}{y}+{y}={x}^3-2731{x}-55146$
28.1-b1 28.1-b \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.875417135$ 2.663505059 \( -\frac{548347731625}{1835008} \) \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 169 a + 1372\) , \( 6819 a - 16217\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^3-{x}^2+\left(169a+1372\right){x}+6819a-16217$
28.1-b2 28.1-b \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $7.878754216$ 2.663505059 \( -\frac{15625}{28} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -a + 12\) , \( 2 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^3+\left(-a-1\right){x}^2+\left(-a+12\right){x}+2a-1$
28.1-b3 28.1-b \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.626251405$ 2.663505059 \( \frac{9938375}{21952} \) \( \bigl[a\) , \( -1\) , \( a + 1\) , \( -6 a - 28\) , \( 50 a - 61\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^3-{x}^2+\left(-6a-28\right){x}+50a-61$
28.1-b4 28.1-b \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.313125702$ 2.663505059 \( \frac{4956477625}{941192} \) \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 34 a + 292\) , \( 522 a - 1469\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^3-{x}^2+\left(34a+292\right){x}+522a-1469$
28.1-b5 28.1-b \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $3.939377108$ 2.663505059 \( \frac{128787625}{98} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -11 a + 102\) , \( 108 a + 17\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^3+\left(-a-1\right){x}^2+\left(-11a+102\right){x}+108a+17$
28.1-b6 28.1-b \(\Q(\sqrt{-35}) \) \( 2^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.437708567$ 2.663505059 \( \frac{2251439055699625}{25088} \) \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 2729 a + 21852\) , \( 438435 a - 959321\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^3-{x}^2+\left(2729a+21852\right){x}+438435a-959321$
35.1-a1 35.1-a \(\Q(\sqrt{-35}) \) \( 5 \cdot 7 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.034009387$ $0.774975202$ 1.283054450 \( -\frac{250523582464}{13671875} \) \( \bigl[0\) , \( a - 1\) , \( 1\) , \( 131 a + 1048\) , \( 5198 a - 11046\bigr] \) ${y}^2+{y}={x}^3+\left(a-1\right){x}^2+\left(131a+1048\right){x}+5198a-11046$
35.1-a2 35.1-a \(\Q(\sqrt{-35}) \) \( 5 \cdot 7 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.034009387$ $6.974776820$ 1.283054450 \( -\frac{262144}{35} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( -a + 9\) , \( 2 a + 2\bigr] \) ${y}^2+{y}={x}^3-a{x}^2+\left(-a+9\right){x}+2a+2$
35.1-a3 35.1-a \(\Q(\sqrt{-35}) \) \( 5 \cdot 7 \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.034009387$ $2.324925606$ 1.283054450 \( \frac{71991296}{42875} \) \( \bigl[0\) , \( a - 1\) , \( 1\) , \( -9 a - 72\) , \( -10 a + 21\bigr] \) ${y}^2+{y}={x}^3+\left(a-1\right){x}^2+\left(-9a-72\right){x}-10a+21$
35.1-b1 35.1-b \(\Q(\sqrt{-35}) \) \( 5 \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.774975202$ 1.047957743 \( -\frac{250523582464}{13671875} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -131\) , \( -650\bigr] \) ${y}^2+{y}={x}^3+{x}^2-131{x}-650$
35.1-b2 35.1-b \(\Q(\sqrt{-35}) \) \( 5 \cdot 7 \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $6.974776820$ 1.047957743 \( -\frac{262144}{35} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -1\) , \( 0\bigr] \) ${y}^2+{y}={x}^3+{x}^2-{x}$
35.1-b3 35.1-b \(\Q(\sqrt{-35}) \) \( 5 \cdot 7 \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $2.324925606$ 1.047957743 \( \frac{71991296}{42875} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) ${y}^2+{y}={x}^3+{x}^2+9{x}+1$
45.1-a1 45.1-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.101186768$ $3.515460658$ 1.443056014 \( -\frac{110592}{125} \) \( \bigl[0\) , \( 0\) , \( 1\) , \( 9 a - 9\) , \( -27 a - 34\bigr] \) ${y}^2+{y}={x}^3+\left(9a-9\right){x}-27a-34$
45.1-b1 45.1-b \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $3.515460658$ 2.376885226 \( -\frac{110592}{125} \) \( \bigl[0\) , \( 0\) , \( 1\) , \( -a\) , \( -a + 2\bigr] \) ${y}^2+{y}={x}^3-a{x}-a+2$
45.2-a1 45.2-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.558925428$ 0.377902562 \( -\frac{147281603041}{215233605} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -110\) , \( -880\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-110{x}-880$
45.2-a2 45.2-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $8.942806850$ 0.377902562 \( -\frac{1}{15} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2$
45.2-a3 45.2-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\Z/8\Z$ $\mathrm{SU}(2)$ $1$ $1.117850856$ 0.377902562 \( \frac{4733169839}{3515625} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2+35{x}-28$
45.2-a4 45.2-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $2.235701712$ 0.377902562 \( \frac{111284641}{50625} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -10\) , \( -10\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-10{x}-10$
45.2-a5 45.2-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $4.471403425$ 0.377902562 \( \frac{13997521}{225} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -5\) , \( 2\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-5{x}+2$
45.2-a6 45.2-a \(\Q(\sqrt{-35}) \) \( 3^{2} \cdot 5 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.117850856$ 0.377902562 \( \frac{272223782641}{164025} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -135\) , \( -660\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-135{x}-660$
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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.