Learn more

Refine search


Results (29 matches)

  displayed columns for results
Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
64.1-CMa2 64.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \) 0 $\Z/4\Z$ $-16$ $\mathrm{U}(1)$ $1$ $6.875185818$ 0.429699113 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 2\) , \( 3 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+2{x}+3i$
256.1-CMa2 256.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{8} \) 0 $\Z/4\Z$ $-16$ $\mathrm{U}(1)$ $1$ $3.437592909$ 0.859398227 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 11\) , \( -14 i\bigr] \) ${y}^2={x}^{3}+11{x}-14i$
1024.1-CMb2 1024.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{10} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $2.430745256$ 1.215372628 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 22 i\) , \( -28 i - 28\bigr] \) ${y}^2={x}^{3}+22i{x}-28i-28$
1024.1-CMa2 1024.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{10} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $2.430745256$ 1.215372628 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -22 i\) , \( 28 i - 28\bigr] \) ${y}^2={x}^{3}-22i{x}+28i-28$
1600.1-CMa2 1600.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 5^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $3.074676569$ 1.537338284 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -12 i - 9\) , \( -24 i + 2\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-12i-9\right){x}-24i+2$
1600.3-CMa2 1600.3-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 5^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $3.074676569$ 1.537338284 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 10 i - 9\) , \( -24 i - 2\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(10i-9\right){x}-24i-2$
5184.1-CMb2 5184.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 3^{4} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $2.291728606$ 2.291728606 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 24\) , \( 59 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+24\right){x}+59i$
6400.1-CMb2 6400.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.537338284$ 1.537338284 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -44 i - 33\) , \( 154 i + 28\bigr] \) ${y}^2={x}^{3}+\left(-44i-33\right){x}+154i+28$
6400.3-CMb2 6400.3-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.537338284$ 1.537338284 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 44 i - 33\) , \( -154 i + 28\bigr] \) ${y}^2={x}^{3}+\left(44i-33\right){x}-154i+28$
10816.1-CMa2 10816.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 13^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.906833461$ 0.953416730 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -33 i + 13\) , \( -9 i + 97\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-33i+13\right){x}-9i+97$
10816.3-CMa2 10816.3-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 13^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.906833461$ 0.953416730 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 33 i + 13\) , \( -9 i - 97\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(33i+13\right){x}-9i-97$
18496.1-CMb2 18496.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 17^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.667477489$ 1.667477489 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -22 i - 42\) , \( -103 i - 80\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(-22i-42\right){x}-103i-80$
18496.3-CMb2 18496.3-CMb \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 17^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.667477489$ 1.667477489 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 22 i - 42\) , \( -103 i + 80\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(22i-42\right){x}-103i+80$
20736.1-CMb2 20736.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 3^{4} \) $2$ $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $0.197413986$ $1.145864303$ 3.619354238 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 99\) , \( -378 i\bigr] \) ${y}^2={x}^{3}+99{x}-378i$
25600.1-CMd2 25600.1-CMd \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5^{2} \) $2$ $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $0.459674305$ $1.087062326$ 3.997556959 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 66 i - 88\) , \( -364 i + 252\bigr] \) ${y}^2={x}^{3}+\left(66i-88\right){x}-364i+252$
25600.1-CMc2 25600.1-CMc \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.087062326$ 2.174124652 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -66 i + 88\) , \( -252 i - 364\bigr] \) ${y}^2={x}^{3}+\left(-66i+88\right){x}-252i-364$
25600.3-CMd2 25600.3-CMd \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5^{2} \) $2$ $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $0.459674305$ $1.087062326$ 3.997556959 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -66 i - 88\) , \( 364 i + 252\bigr] \) ${y}^2={x}^{3}+\left(-66i-88\right){x}+364i+252$
25600.3-CMc2 25600.3-CMc \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 5^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.087062326$ 2.174124652 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 66 i + 88\) , \( 252 i - 364\bigr] \) ${y}^2={x}^{3}+\left(66i+88\right){x}+252i-364$
40000.3-CMc2 40000.3-CMc \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 5^{4} \) $2$ $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $0.902008130$ $1.375037163$ 4.961178807 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( 68\) , \( 253 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+68{x}+253i$
43264.1-CMb2 43264.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 13^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $0.953416730$ 0.953416730 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -132 i + 55\) , \( 126 i - 644\bigr] \) ${y}^2={x}^{3}+\left(-132i+55\right){x}+126i-644$
43264.3-CMb2 43264.3-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 13^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $0.953416730$ 0.953416730 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 132 i + 55\) , \( -126 i - 644\bigr] \) ${y}^2={x}^{3}+\left(132i+55\right){x}-126i-644$
53824.1-CMa2 53824.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 29^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.276689955$ 0.638344977 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -56 i + 57\) , \( 142 i + 276\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-56i+57\right){x}+142i+276$
53824.3-CMa2 53824.3-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 29^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.276689955$ 0.638344977 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 54 i + 57\) , \( 142 i - 276\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(54i+57\right){x}+142i-276$
73984.1-CMb2 73984.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 17^{2} \) $0 \le r \le 2$ $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $0.833738744$ 3.334954979 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -88 i - 165\) , \( 658 i + 728\bigr] \) ${y}^2={x}^{3}+\left(-88i-165\right){x}+658i+728$
73984.3-CMb2 73984.3-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 17^{2} \) $0 \le r \le 2$ $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $0.833738744$ 3.334954979 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 88 i - 165\) , \( -658 i + 728\bigr] \) ${y}^2={x}^{3}+\left(88i-165\right){x}-658i+728$
82944.1-CMd2 82944.1-CMd \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 3^{4} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $0.810248418$ 1.620496837 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 198 i\) , \( -756 i - 756\bigr] \) ${y}^2={x}^{3}+198i{x}-756i-756$
82944.1-CMc2 82944.1-CMc \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 3^{4} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $0.810248418$ 1.620496837 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -198 i\) , \( 756 i - 756\bigr] \) ${y}^2={x}^{3}-198i{x}+756i-756$
87616.1-CMa2 87616.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 37^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.130273586$ 0.565136793 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -34 i - 97\) , \( -236 i - 330\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-34i-97\right){x}-236i-330$
87616.3-CMa2 87616.3-CMa \(\Q(\sqrt{-1}) \) \( 2^{6} \cdot 37^{2} \) 0 $\Z/2\Z$ $-16$ $\mathrm{U}(1)$ $1$ $1.130273586$ 0.565136793 \( 287496 \) \( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 32 i - 97\) , \( -236 i + 330\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(32i-97\right){x}-236i+330$
  displayed columns for results

  *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.