Learn more

Refine search


Results (4 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
25.1-a1 25.1-a \(\Q(\sqrt{29}) \) \( 5^{2} \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $0.829376951$ $13.22753554$ 1.358127807 \( -\frac{22083041}{3125} a + \frac{350257206}{15625} \) \( \bigl[a + 1\) , \( -a\) , \( a\) , \( -9 a - 20\) , \( 68 a + 148\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-9a-20\right){x}+68a+148$
125.1-b1 125.1-b \(\Q(\sqrt{29}) \) \( 5^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $5.915533731$ 2.196974073 \( -\frac{22083041}{3125} a + \frac{350257206}{15625} \) \( \bigl[a\) , \( -1\) , \( a + 1\) , \( 2 a - 40\) , \( 15 a + 136\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a-40\right){x}+15a+136$
125.2-a1 125.2-a \(\Q(\sqrt{29}) \) \( 5^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.196588008$ $5.915533731$ 2.591392545 \( -\frac{22083041}{3125} a + \frac{350257206}{15625} \) \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 102 a - 310\) , \( -882 a + 2835\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(102a-310\right){x}-882a+2835$
625.1-c1 625.1-c \(\Q(\sqrt{29}) \) \( 5^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.645507109$ 1.965033349 \( -\frac{22083041}{3125} a + \frac{350257206}{15625} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -190 a - 442\) , \( 8481 a + 18677\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-190a-442\right){x}+8481a+18677$
  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.