Learn more

Refine search


Results (7 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
252.2-a2 252.2-a \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{2} \cdot 7 \) 0 $\Z/8\Z$ $\mathrm{SU}(2)$ $1$ $2.740367332$ 2.071522989 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[1\) , \( a\) , \( a\) , \( 2 a - 11\) , \( -6 a + 11\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(2a-11\right){x}-6a+11$
2268.2-a2 2268.2-a \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 3^{4} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.276615502$ $0.913455777$ 1.528040995 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 18 a - 93\) , \( 80 a - 323\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(18a-93\right){x}+80a-323$
8064.2-a2 8064.2-a \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 3^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.968866161$ 1.464787953 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -38 a - 40\) , \( 196 a + 56\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-38a-40\right){x}+196a+56$
8064.7-b2 8064.7-b \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 3^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.968866161$ 1.464787953 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 55 a - 54\) , \( -203 a - 26\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(55a-54\right){x}-203a-26$
14112.2-c1 14112.2-c \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.517880747$ 1.565924189 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[a\) , \( 0\) , \( a\) , \( -204 a + 62\) , \( -1071 a + 1605\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-204a+62\right){x}-1071a+1605$
14112.5-b1 14112.5-b \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.517880747$ 1.565924189 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 189 a + 10\) , \( 364 a + 1336\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(189a+10\right){x}+364a+1336$
16128.5-n1 16128.5-n \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 3^{2} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.310811814$ $0.685091833$ 4.786899797 \( \frac{12134104351}{1376256} a - \frac{12253997573}{1376256} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 33 a - 166\) , \( 234 a - 744\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(33a-166\right){x}+234a-744$
  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.