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Results (6 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
2475.9-b2 2475.9-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 11 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.576638824$ 0.695452588 \( -\frac{116936704}{161051} a + \frac{282554368}{161051} \) \( \bigl[0\) , \( -a + 1\) , \( a\) , \( 46 a + 95\) , \( 276 a - 231\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(46a+95\right){x}+276a-231$
2475.9-f2 2475.9-f \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 11 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.257880721$ 2.799142674 \( -\frac{116936704}{161051} a + \frac{282554368}{161051} \) \( \bigl[0\) , \( a - 1\) , \( a\) , \( -380 a + 512\) , \( -1979 a + 6075\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-380a+512\right){x}-1979a+6075$
22275.9-e2 22275.9-e \(\Q(\sqrt{-11}) \) \( 3^{4} \cdot 5^{2} \cdot 11 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.257880721$ 0.622031705 \( -\frac{116936704}{161051} a + \frac{282554368}{161051} \) \( \bigl[0\) , \( 0\) , \( a\) , \( -327 a - 291\) , \( -2441 a - 3169\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-327a-291\right){x}-2441a-3169$
22275.9-m2 22275.9-m \(\Q(\sqrt{-11}) \) \( 3^{4} \cdot 5^{2} \cdot 11 \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $0.576638824$ 4.172715533 \( -\frac{116936704}{161051} a + \frac{282554368}{161051} \) \( \bigl[0\) , \( 0\) , \( a\) , \( -48 a + 141\) , \( 35 a + 514\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-48a+141\right){x}+35a+514$
27225.9-b2 27225.9-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.134673814$ 0.324845463 \( -\frac{116936704}{161051} a + \frac{282554368}{161051} \) \( \bigl[0\) , \( -a + 1\) , \( a\) , \( -1555 a + 487\) , \( 25084 a - 16217\bigr] \) ${y}^2+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-1555a+487\right){x}+25084a-16217$
27225.9-e2 27225.9-e \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.920706491$ $0.301139804$ 8.025355133 \( -\frac{116936704}{161051} a + \frac{282554368}{161051} \) \( \bigl[0\) , \( a - 1\) , \( a\) , \( -4 a + 520\) , \( -1715 a - 1288\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a+520\right){x}-1715a-1288$
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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.