Learn more

Refine search


Results (10 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
338.2-a1 338.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.166288191$ $0.896934130$ 0.596598218 \( -\frac{10730978619193}{6656} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -460\) , \( -3830\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-460{x}-3830$
27378.2-e1 27378.2-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{4} \cdot 13^{2} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $0.298978043$ 5.381604785 \( -\frac{10730978619193}{6656} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -4135\) , \( -103403\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-4135{x}-103403$
35152.2-g1 35152.2-g \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 13^{3} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.750595570$ $0.124382384$ 3.483892024 \( -\frac{10730978619193}{6656} \) \( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -22056 i + 9190\) , \( -275742 i + 1409348\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-22056i+9190\right){x}-275742i+1409348$
35152.3-b1 35152.3-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 13^{3} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1.750595570$ $0.124382384$ 3.483892024 \( -\frac{10730978619193}{6656} \) \( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 22057 i + 9190\) , \( 284932 i + 1387291\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(22057i+9190\right){x}+284932i+1387291$
43264.2-l1 43264.2-l \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $2.977948821$ $0.224233532$ 5.342047875 \( -\frac{10730978619193}{6656} \) \( \bigl[0\) , \( -i\) , \( 0\) , \( 7352\) , \( -245104 i\bigr] \) ${y}^2={x}^{3}-i{x}^{2}+7352{x}-245104i$
57122.3-h1 57122.3-h \(\Q(\sqrt{-1}) \) \( 2 \cdot 13^{4} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.068994933$ 4.967635186 \( -\frac{10730978619193}{6656} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -77659\) , \( 8336303\bigr] \) ${y}^2+i{x}{y}={x}^{3}-77659{x}+8336303$
67600.2-i1 67600.2-i \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.200560568$ 3.610090238 \( -\frac{10730978619193}{6656} \) \( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -7352 i - 5514\) , \( -337018 i - 61276\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-7352i-5514\right){x}-337018i-61276$
67600.8-i1 67600.8-i \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.200560568$ 3.610090238 \( -\frac{10730978619193}{6656} \) \( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 7352 i - 5514\) , \( -337018 i + 61276\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(7352i-5514\right){x}-337018i+61276$
97682.4-b1 97682.4-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 13^{2} \cdot 17^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.217538480$ 3.915692641 \( -\frac{10730978619193}{6656} \) \( \bigl[1\) , \( -i\) , \( 1\) , \( 3676 i + 6892\) , \( -199147 i + 179998\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(3676i+6892\right){x}-199147i+179998$
97682.6-b1 97682.6-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 13^{2} \cdot 17^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.217538480$ 3.915692641 \( -\frac{10730978619193}{6656} \) \( \bigl[i\) , \( -i\) , \( i\) , \( -3676 i + 6893\) , \( -199147 i - 179998\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-3676i+6893\right){x}-199147i-179998$
  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.