Learn more

Refine search


Results (6 matches)

  Download to        
Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
64.5-a2 64.5-a \(\Q(\sqrt{17}) \) \( 2^{6} \) $0$ $\Z/2\Z$ $1$ $7.156385278$ 0.867839188 \( -\frac{1592342311}{2} a + \frac{4078872403}{2} \) \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( -16 a - 25\) , \( -4 a - 9\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-16a-25\right){x}-4a-9$
64.5-b2 64.5-b \(\Q(\sqrt{17}) \) \( 2^{6} \) $0$ $\Z/2\Z$ $1$ $7.009864600$ 1.700141892 \( -\frac{1592342311}{2} a + \frac{4078872403}{2} \) \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 38 a - 95\) , \( 180 a - 461\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(38a-95\right){x}+180a-461$
128.5-a2 128.5-a \(\Q(\sqrt{17}) \) \( 2^{7} \) $0$ $\Z/2\Z$ $1$ $35.29470114$ 2.140055600 \( -\frac{1592342311}{2} a + \frac{4078872403}{2} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -a - 9\) , \( -2 a + 3\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-9\right){x}-2a+3$
128.5-d2 128.5-d \(\Q(\sqrt{17}) \) \( 2^{7} \) $1$ $\Z/2\Z$ $0.327876043$ $34.57207326$ 1.374613658 \( -\frac{1592342311}{2} a + \frac{4078872403}{2} \) \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -85 a - 133\) , \( -137 a - 214\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-85a-133\right){x}-137a-214$
512.2-e2 512.2-e \(\Q(\sqrt{17}) \) \( 2^{9} \) $0$ $\Z/4\Z$ $1$ $12.47856126$ 1.513247827 \( -\frac{1592342311}{2} a + \frac{4078872403}{2} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -104 a - 168\) , \( 192 a + 304\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-104a-168\right){x}+192a+304$
512.2-f2 512.2-f \(\Q(\sqrt{17}) \) \( 2^{9} \) $1$ $\Z/2\Z$ $0.235830817$ $12.22307372$ 2.796510914 \( -\frac{1592342311}{2} a + \frac{4078872403}{2} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 90 a - 235\) , \( -633 a + 1626\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(90a-235\right){x}-633a+1626$
  Download to        

  *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.