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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
98.1-a2 98.1-a \(\Q(\sqrt{15}) \) \( 2 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $7.027708105$ 1.814546430 \( -\frac{15625}{28} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( 2\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+2{x}$
98.1-d2 98.1-d \(\Q(\sqrt{15}) \) \( 2 \cdot 7^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $35.33144352$ 1.013615498 \( -\frac{15625}{28} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}$
98.1-i2 98.1-i \(\Q(\sqrt{15}) \) \( 2 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.701556175$ $35.33144352$ 6.399973913 \( -\frac{15625}{28} \) \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 14 a - 63\) , \( -111 a + 425\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(14a-63\right){x}-111a+425$
98.1-l2 98.1-l \(\Q(\sqrt{15}) \) \( 2 \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.054541211$ $7.027708105$ 3.728060422 \( -\frac{15625}{28} \) \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 18 a - 58\) , \( 160 a - 612\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(18a-58\right){x}+160a-612$
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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.