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Results (4 matches)

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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
21025.5-a1 21025.5-a \(\Q(\sqrt{-1}) \) \( 5^{2} \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.292228814$ $2.664071081$ 1.557036669 \( \frac{1367631}{21025} \) \( \bigl[i\) , \( 1\) , \( i\) , \( 3\) , \( -6\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+3{x}-6$
21025.5-a2 21025.5-a \(\Q(\sqrt{-1}) \) \( 5^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.584457629$ $5.328142162$ 1.557036669 \( \frac{2146689}{145} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -2\) , \( -2\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-2{x}-2$
21025.5-a3 21025.5-a \(\Q(\sqrt{-1}) \) \( 5^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.584457629$ $1.332035540$ 1.557036669 \( -\frac{43875392736951}{442050625} a + \frac{12075778344168}{442050625} \) \( \bigl[i\) , \( 1\) , \( i\) , \( 45 i + 43\) , \( 76 i - 164\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(45i+43\right){x}+76i-164$
21025.5-a4 21025.5-a \(\Q(\sqrt{-1}) \) \( 5^{2} \cdot 29^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.584457629$ $1.332035540$ 1.557036669 \( \frac{43875392736951}{442050625} a + \frac{12075778344168}{442050625} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -45 i + 43\) , \( -76 i - 164\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(-45i+43\right){x}-76i-164$
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  *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.