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Results (6 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
64.4-a4 64.4-a \(\Q(\sqrt{17}) \) \( 2^{6} \) $0$ $\Z/2\Z$ $1$ $7.156385278$ 0.867839188 \( \frac{1592342311}{2} a + 1243265046 \) \( \bigl[a\) , \( 1\) , \( 0\) , \( 16 a - 41\) , \( 4 a - 13\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(16a-41\right){x}+4a-13$
64.4-b4 64.4-b \(\Q(\sqrt{17}) \) \( 2^{6} \) $0$ $\Z/2\Z$ $1$ $7.009864600$ 1.700141892 \( \frac{1592342311}{2} a + 1243265046 \) \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -38 a - 57\) , \( -180 a - 281\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-38a-57\right){x}-180a-281$
128.6-a4 128.6-a \(\Q(\sqrt{17}) \) \( 2^{7} \) $0$ $\Z/2\Z$ $1$ $35.29470114$ 2.140055600 \( \frac{1592342311}{2} a + 1243265046 \) \( \bigl[a\) , \( -1\) , \( a\) , \( -a - 8\) , \( a + 2\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-a-8\right){x}+a+2$
128.6-d4 128.6-d \(\Q(\sqrt{17}) \) \( 2^{7} \) $1$ $\Z/2\Z$ $0.327876043$ $34.57207326$ 1.374613658 \( \frac{1592342311}{2} a + 1243265046 \) \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 83 a - 216\) , \( 136 a - 350\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(83a-216\right){x}+136a-350$
512.1-e4 512.1-e \(\Q(\sqrt{17}) \) \( 2^{9} \) $0$ $\Z/4\Z$ $1$ $12.47856126$ 1.513247827 \( \frac{1592342311}{2} a + 1243265046 \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 106 a - 273\) , \( -87 a + 223\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(106a-273\right){x}-87a+223$
512.1-f4 512.1-f \(\Q(\sqrt{17}) \) \( 2^{9} \) $1$ $\Z/2\Z$ $0.235830817$ $12.22307372$ 2.796510914 \( \frac{1592342311}{2} a + 1243265046 \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -90 a - 145\) , \( 633 a + 993\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-90a-145\right){x}+633a+993$
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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.