Learn more

Refine search


Results (9 matches)

  Download to        
Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
1083.2-a1 1083.2-a \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $1$ $\mathsf{trivial}$ $0.037574592$ $5.328644115$ 0.924784107 \( -\frac{1404928}{171} \) \( \bigl[0\) , \( a\) , \( 1\) , \( -2 a + 2\) , \( 2\bigr] \) ${y}^2+{y}={x}^{3}+a{x}^{2}+\left(-2a+2\right){x}+2$
1083.2-b1 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $0.816172249$ 0.942434535 \( -\frac{7240152655469734}{50950689123} a + \frac{1727319988870667}{50950689123} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 130 a + 63\) , \( -464 a + 999\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(130a+63\right){x}-464a+999$
1083.2-b2 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $0.816172249$ 0.942434535 \( \frac{7240152655469734}{50950689123} a - \frac{5512832666599067}{50950689123} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -130 a + 193\) , \( 464 a + 535\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-130a+193\right){x}+464a+535$
1083.2-b3 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.632344499$ 0.942434535 \( \frac{67419143}{390963} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 8\) , \( 29\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+8{x}+29$
1083.2-b4 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/4\Z$ $1$ $6.529377996$ 0.942434535 \( \frac{389017}{57} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -2\) , \( -1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-2{x}-1$
1083.2-b5 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $3.264688998$ 0.942434535 \( \frac{30664297}{3249} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -7\) , \( 5\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-7{x}+5$
1083.2-b6 1083.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/4\Z$ $1$ $1.632344499$ 0.942434535 \( \frac{115714886617}{1539} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -102\) , \( 385\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-102{x}+385$
1083.2-c1 1083.2-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $0.271765830$ 1.255232601 \( -\frac{9358714467168256}{22284891} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( -4390 a + 4390\) , \( -113432\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-4390a+4390\right){x}-113432$
1083.2-c2 1083.2-c \(\Q(\sqrt{-3}) \) \( 3 \cdot 19^{2} \) $0$ $\Z/5\Z$ $1$ $1.358829150$ 1.255232601 \( \frac{841232384}{1121931} \) \( \bigl[0\) , \( -a\) , \( 1\) , \( 20 a - 20\) , \( -32\bigr] \) ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(20a-20\right){x}-32$
  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.