Learn more

Refine search


Results (13 matches)

  Download to        
Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
448.4-a1 448.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $0.472989750$ $4.016295718$ 1.436013054 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 1\) , \( 2\bigr] \) ${y}^2={x}^{3}+{x}+2$
1792.5-c1 1792.5-c \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $4.016295718$ 1.518017094 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 1\) , \( -2\bigr] \) ${y}^2={x}^{3}+{x}-2$
3584.4-e1 3584.4-e \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $2.839949937$ 2.146800363 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 2\) , \( 2 a + 4\bigr] \) ${y}^2={x}^{3}+\left(a-2\right){x}+2a+4$
3584.7-e1 3584.7-e \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $2.839949937$ 2.146800363 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -a - 1\) , \( -2 a + 6\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}-2a+6$
6272.4-a1 6272.4-a \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.518017094$ 1.147513062 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( -28 a + 14\bigr] \) ${y}^2={x}^{3}-7{x}-28a+14$
6272.5-a1 6272.5-a \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.518017094$ 1.147513062 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( 28 a - 14\bigr] \) ${y}^2={x}^{3}-7{x}+28a-14$
7168.5-d1 7168.5-d \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $2.839949937$ 2.146800363 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 2\) , \( -2 a - 4\bigr] \) ${y}^2={x}^{3}+\left(a-2\right){x}-2a-4$
7168.7-d1 7168.7-d \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 7 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $2.839949937$ 2.146800363 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -a - 1\) , \( 2 a - 6\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}+2a-6$
25088.4-o2 25088.4-o \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.073400181$ 3.245657071 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -7 a + 14\) , \( -70 a + 84\bigr] \) ${y}^2={x}^{3}+\left(-7a+14\right){x}-70a+84$
25088.7-o2 25088.7-o \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.073400181$ 3.245657071 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 7 a + 7\) , \( 70 a + 14\bigr] \) ${y}^2={x}^{3}+\left(7a+7\right){x}+70a+14$
28672.7-a2 28672.7-a \(\Q(\sqrt{-7}) \) \( 2^{12} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.696738583$ $2.008147859$ 4.230644320 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 4\) , \( 16\bigr] \) ${y}^2={x}^{3}+4{x}+16$
28672.7-m2 28672.7-m \(\Q(\sqrt{-7}) \) \( 2^{12} \cdot 7 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $0.516662016$ $2.008147859$ 6.274414190 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 4\) , \( -16\bigr] \) ${y}^2={x}^{3}+4{x}-16$
36288.4-d2 36288.4-d \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{4} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.294122201$ $1.338765239$ 5.238665667 \( \frac{432}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 9\) , \( -54\bigr] \) ${y}^2={x}^{3}+9{x}-54$
  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.