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Results (9 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
588.2-a4 588.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.342545916$ 0.791075908 \( \frac{84448510979617}{933897762} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -914\) , \( -10915\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-914{x}-10915$
12348.2-b4 12348.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.074749647$ 1.381015326 \( \frac{84448510979617}{933897762} \) \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 13710 a + 8226\) , \( -638437 a + 1167672\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(13710a+8226\right){x}-638437a+1167672$
12348.3-b4 12348.3-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.074749647$ 1.381015326 \( \frac{84448510979617}{933897762} \) \( \bigl[a\) , \( -1\) , \( 1\) , \( -13711 a + 21937\) , \( 638437 a + 529235\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-13711a+21937\right){x}+638437a+529235$
28812.3-f4 28812.3-f \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{4} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.106462011$ $0.048935130$ 4.001350588 \( \frac{84448510979617}{933897762} \) \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -44787 a + 44787\) , \( 3609423\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-44787a+44787\right){x}+3609423$
37632.2-r4 37632.2-r \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3 \cdot 7^{2} \) 0 $\Z/8\Z$ $\mathrm{SU}(2)$ $1$ $0.085636479$ 3.164303633 \( \frac{84448510979617}{933897762} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -14624\) , \( 669300\bigr] \) ${y}^2={x}^{3}+{x}^{2}-14624{x}+669300$
99372.4-g4 99372.4-g \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.316188102$ $0.095005143$ 4.439887655 \( \frac{84448510979617}{933897762} \) \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -7311 a + 13710\) , \( -380137 a - 170928\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7311a+13710\right){x}-380137a-170928$
99372.6-h4 99372.6-h \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.316188102$ $0.095005143$ 4.439887655 \( \frac{84448510979617}{933897762} \) \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -13710 a + 7313\) , \( 386535 a - 564775\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-13710a+7313\right){x}+386535a-564775$
112896.2-k4 112896.2-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.049442244$ 0.913455777 \( \frac{84448510979617}{933897762} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 43873\) , \( 4059673 a - 2007900\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+43873\right){x}+4059673a-2007900$
112896.2-u4 112896.2-u \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.049442244$ 0.913455777 \( \frac{84448510979617}{933897762} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -43872 a\) , \( -4015800 a + 2007900\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-43872a{x}-4015800a+2007900$
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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.