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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-a2 64.4-a \(\Q(\sqrt{17}) \) \( 2^{6} \) $0$ $\Z/2\Z$ $1$ $7.156385278$ 0.867839188 \( -\frac{23841914775}{2} a + 30536164178 \) \( \bigl[a\) , \( 1\) , \( 0\) , \( 171 a - 436\) , \( 1835 a - 4700\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(171a-436\right){x}+1835a-4700$
64.4-b2 64.4-b \(\Q(\sqrt{17}) \) \( 2^{6} \) $0$ $\Z/2\Z$ $1$ $28.03945840$ 1.700141892 \( -\frac{23841914775}{2} a + 30536164178 \) \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -3 a - 12\) , \( 3 a + 8\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-3a-12\right){x}+3a+8$
128.6-a2 128.6-a \(\Q(\sqrt{17}) \) \( 2^{7} \) $0$ $\Z/2\Z$ $1$ $4.411837643$ 2.140055600 \( -\frac{23841914775}{2} a + 30536164178 \) \( \bigl[a\) , \( 1\) , \( a\) , \( -99 a - 157\) , \( -460 a - 721\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-99a-157\right){x}-460a-721$
128.6-d2 128.6-d \(\Q(\sqrt{17}) \) \( 2^{7} \) $1$ $\Z/2\Z$ $0.327876043$ $17.28603663$ 1.374613658 \( -\frac{23841914775}{2} a + 30536164178 \) \( \bigl[a\) , \( 0\) , \( a\) , \( 31 a - 88\) , \( -142 a + 356\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(31a-88\right){x}-142a+356$
512.1-e2 512.1-e \(\Q(\sqrt{17}) \) \( 2^{9} \) $0$ $\Z/2\Z$ $1$ $3.119640315$ 1.513247827 \( -\frac{23841914775}{2} a + 30536164178 \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -768 a - 1200\) , \( -7764 a - 12124\bigr] \) ${y}^2={x}^{3}-{x}^{2}+\left(-768a-1200\right){x}-7764a-12124$
512.1-f2 512.1-f \(\Q(\sqrt{17}) \) \( 2^{9} \) $1$ $\Z/2\Z$ $0.943323270$ $12.22307372$ 2.796510914 \( -\frac{23841914775}{2} a + 30536164178 \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 5 a - 60\) , \( -90 a + 144\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-60\right){x}-90a+144$
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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.