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
75.1-a2 75.1-a \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $10.19195692$ 1.471082268 \( -\frac{1}{15} \) \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 227 a - 390\) , \( 392730 a - 680227\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(227a-390\right){x}+392730a-680227$
75.1-b2 75.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{2} \) $1$ $\Z/4\Z$ $0.325078210$ $31.38702211$ 0.736355203 \( -\frac{1}{15} \) \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 225 a - 391\) , \( -392504 a + 679835\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(225a-391\right){x}-392504a+679835$
1875.1-c2 1875.1-c \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{4} \) $0$ $\Z/4\Z$ $1$ $2.038391385$ 1.176865815 \( -\frac{1}{15} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -2\) , \( -24\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-2{x}-24$
1875.1-d2 1875.1-d \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{4} \) $1$ $\Z/2\Z$ $0.600243838$ $6.277404423$ 4.350880830 \( -\frac{1}{15} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 23\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}+23$
3600.1-d2 3600.1-d \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.333082592$ $5.163131942$ 3.971591054 \( -\frac{1}{15} \) \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 2\) , \( -5 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-2\right){x}-5a-1$
3600.1-j2 3600.1-j \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $0.333082592$ $5.163131942$ 3.971591054 \( -\frac{1}{15} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -a - 2\) , \( 4 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-2\right){x}+4a-1$
  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.