Learn more

Refine search


Results (18 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
6400.1-CMc1 6400.1-CMc \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $-4$ $\mathrm{U}(1)$ $1$ $2.056160146$ 1.028080073 \( 1728 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 i - 11\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(2i-11\right){x}$
6400.1-CMb1 6400.1-CMb \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $-4$ $\mathrm{U}(1)$ $1$ $3.074676569$ 1.537338284 \( 1728 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -4 i - 3\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-4i-3\right){x}$
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 \( 287496 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -44 i - 33\) , \( 154 i + 28\bigr] \) ${y}^2={x}^{3}+\left(-44i-33\right){x}+154i+28$
6400.1-CMa1 6400.1-CMa \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $-4$ $\mathrm{U}(1)$ $1$ $4.597713860$ 2.298856930 \( 1728 \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 i + 1\) , \( 0\bigr] \) ${y}^2={x}^{3}+\left(-2i+1\right){x}$
6400.1-a1 6400.1-a \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.587023073$ 1.174046147 \( -\frac{358400014}{25} a - \frac{1259500802}{25} \) \( \bigl[0\) , \( i\) , \( 0\) , \( -364 i + 660\) , \( -5580 i - 5344\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(-364i+660\right){x}-5580i-5344$
6400.1-a2 6400.1-a \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.348092294$ 1.174046147 \( -\frac{51328}{5} a - \frac{73024}{5} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -4 i + 14\) , \( -18 i - 14\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-4i+14\right){x}-18i-14$
6400.1-a3 6400.1-a \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.348092294$ 1.174046147 \( -\frac{11136}{25} a - \frac{10048}{25} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 6 i\) , \( -4 i - 12\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+6i{x}-4i-12$
6400.1-a4 6400.1-a \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.174046147$ 1.174046147 \( \frac{4463256}{625} a - \frac{162592}{625} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( -24 i + 40\) , \( 84 i + 72\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(-24i+40\right){x}+84i+72$
6400.1-a5 6400.1-a \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.587023073$ 1.174046147 \( -\frac{2033300354}{390625} a + \frac{130878178}{390625} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( -164 i + 60\) , \( 348 i - 880\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+\left(-164i+60\right){x}+348i-880$
6400.1-a6 6400.1-a \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.174046147$ 1.174046147 \( \frac{5120008}{5} a + \frac{3690224}{5} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 116 i + 20\) , \( -240 i - 464\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(116i+20\right){x}-240i-464$
6400.1-b1 6400.1-b \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.337192776$ $3.590202120$ 2.421180444 \( -6112 a - 15616 \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 4 i + 5\) , \( i - 5\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(4i+5\right){x}+i-5$
6400.1-b2 6400.1-b \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.168596388$ $3.590202120$ 2.421180444 \( 1408 a - 256 \) \( \bigl[0\) , \( -i + 1\) , \( 0\) , \( -4 i\) , \( -4\bigr] \) ${y}^2={x}^{3}+\left(-i+1\right){x}^{2}-4i{x}-4$
6400.1-c1 6400.1-c \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.605587198$ 1.605587198 \( -6112 a - 15616 \) \( \bigl[0\) , \( i\) , \( 0\) , \( -30 i - 2\) , \( -52 i + 52\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+\left(-30i-2\right){x}-52i+52$
6400.1-c2 6400.1-c \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.605587198$ 1.605587198 \( 1408 a - 256 \) \( \bigl[0\) , \( -1\) , \( 0\) , \( 10 i - 13\) , \( -22 i + 33\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(10i-13\right){x}-22i+33$
6400.1-d1 6400.1-d \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.032999837$ 2.065999675 \( \frac{7495692}{5} a - \frac{10604804}{5} \) \( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 138 i - 97\) , \( -845 i + 193\bigr] \) ${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(138i-97\right){x}-845i+193$
6400.1-d2 6400.1-d \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.032999837$ 2.065999675 \( \frac{7953316}{625} a - \frac{11486012}{625} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -2 i - 77\) , \( -7 i + 243\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-2i-77\right){x}-7i+243$
6400.1-d3 6400.1-d \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.065999675$ 2.065999675 \( -\frac{35616}{25} a + \frac{5312}{25} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( 8 i - 7\) , \( 15 i - 3\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(8i-7\right){x}+15i-3$
6400.1-d4 6400.1-d \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.065999675$ 2.065999675 \( \frac{12928}{5} a + \frac{3584}{5} \) \( \bigl[0\) , \( i - 1\) , \( 0\) , \( -12\) , \( -8 i - 12\bigr] \) ${y}^2={x}^{3}+\left(i-1\right){x}^{2}-12{x}-8i-12$
  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.