Learn more

Refine search


Results (25 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
1452.1-a3 1452.1-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.390085982$ $2.418276224$ 1.089270191 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
2178.1-c3 2178.1-c \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 2.418276224 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
4356.5-d3 4356.5-d \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 3.656089994 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
2178.5-b5 2178.5-b \(\Q(\sqrt{-2}) \) \( 2 \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 1.709979516 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
396.2-a3 396.2-a \(\Q(\sqrt{-11}) \) \( 2^{2} \cdot 3^{2} \cdot 11 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 1.458275431 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
4356.2-g3 4356.2-g \(\Q(\sqrt{-19}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.510019693$ $2.418276224$ 5.570141473 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
726.2-e3 726.2-e \(\Q(\sqrt{-6}) \) \( 2 \cdot 3 \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 1.974514268 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
4356.2-g3 4356.2-g \(\Q(\sqrt{-31}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $8.259241474$ $2.418276224$ 14.34911823 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
4356.2-c3 4356.2-c \(\Q(\sqrt{-43}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $3.907108716$ $2.418276224$ 5.763511517 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
396.2-f3 396.2-f \(\Q(\sqrt{-55}) \) \( 2^{2} \cdot 3^{2} \cdot 11 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 2.608642396 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
4356.1-e3 4356.1-e \(\Q(\sqrt{-67}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) $0 \le r \le 2$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 4.727031401 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
726.2-h3 726.2-h \(\Q(\sqrt{-21}) \) \( 2 \cdot 3 \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 4.221689085 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
198.1-d3 198.1-d \(\Q(\sqrt{-22}) \) \( 2 \cdot 3^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $6.700322216$ $2.418276224$ 6.909080447 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
726.2-h3 726.2-h \(\Q(\sqrt{-30}) \) \( 2 \cdot 3 \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 3.532118501 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
66.1-j3 66.1-j \(\Q(\sqrt{-33}) \) \( 2 \cdot 3 \cdot 11 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.418276224$ 1.683871426 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
4356.1-b3 4356.1-b \(\Q(\sqrt{-163}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $30.95143178$ $2.418276224$ 23.45053953 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
66.1-d3 66.1-d \(\Q(\sqrt{-66}) \) \( 2 \cdot 3 \cdot 11 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $9.808942789$ $2.418276224$ 11.67928163 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
66.1-q3 66.1-q \(\Q(\sqrt{-165}) \) \( 2 \cdot 3 \cdot 11 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.836552448$ 3.012200779 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2-22{x}-49$
4356.1-e3 4356.1-e \(\Q(\sqrt{5}) \) \( 2^{2} \cdot 3^{2} \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.859313493$ 2.173151059 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
2178.1-a3 2178.1-a \(\Q(\sqrt{2}) \) \( 2 \cdot 3^{2} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.982954929$ $4.859313493$ 3.377485748 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
726.1-d3 726.1-d \(\Q(\sqrt{3}) \) \( 2 \cdot 3 \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.537157404$ $4.859313493$ 3.014018081 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
1452.1-a3 1452.1-a \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.859313493$ 2.120778277 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
726.1-c3 726.1-c \(\Q(\sqrt{6}) \) \( 2 \cdot 3 \cdot 11^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.859313493$ 3.967612853 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
132.1-d4 132.1-d \(\Q(\sqrt{33}) \) \( 2^{2} \cdot 3 \cdot 11 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.859313493$ 3.383591610 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
198.1-f3 198.1-f \(\Q(\sqrt{11}) \) \( 2 \cdot 3^{2} \cdot 11 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $4.859313493$ 2.930276290 \( \frac{1180932193}{4356} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$
  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.