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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
96.1-a5 96.1-a \(\Q(\sqrt{6}) \) \( 2^{5} \cdot 3 \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.351603734$ $43.91120043$ 1.514359844 \( \frac{7301384}{3} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -11\) , \( 6\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-11{x}+6$
96.1-b5 96.1-b \(\Q(\sqrt{6}) \) \( 2^{5} \cdot 3 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $8.017247373$ 1.636513767 \( \frac{7301384}{3} \) \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -162 a - 394\) , \( -1646 a - 4031\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-162a-394\right){x}-1646a-4031$
96.1-c5 96.1-c \(\Q(\sqrt{6}) \) \( 2^{5} \cdot 3 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $2.480678691$ $8.017247373$ 2.029832415 \( \frac{7301384}{3} \) \( \bigl[a\) , \( 1\) , \( 0\) , \( -6\) , \( -15\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-6{x}-15$
96.1-d5 96.1-d \(\Q(\sqrt{6}) \) \( 2^{5} \cdot 3 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $43.91120043$ 2.240834063 \( \frac{7301384}{3} \) \( \bigl[a\) , \( a + 1\) , \( a\) , \( -160 a - 395\) , \( 1485 a + 3636\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-160a-395\right){x}+1485a+3636$
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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.