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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
28.1-b1 28.1-b \(\Q(\sqrt{29}) \) \( 2^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.059060672$ $5.519552377$ 1.452828972 \( \frac{198387025}{153664} a - \frac{79186783}{19208} \) \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 3 a + 5\) , \( 22 a + 47\bigr] \) ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+5\right){x}+22a+47$
196.2-d1 196.2-d \(\Q(\sqrt{29}) \) \( 2^{2} \cdot 7^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $1.168485886$ 2.603788581 \( \frac{198387025}{153664} a - \frac{79186783}{19208} \) \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -3 a - 9\) , \( -651 a - 1429\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-9\right){x}-651a-1429$
700.4-i1 700.4-i \(\Q(\sqrt{29}) \) \( 2^{2} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.508891561$ $2.468418864$ 3.732201557 \( \frac{198387025}{153664} a - \frac{79186783}{19208} \) \( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 44 a - 143\) , \( 300 a - 958\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(44a-143\right){x}+300a-958$
700.6-h1 700.6-h \(\Q(\sqrt{29}) \) \( 2^{2} \cdot 5^{2} \cdot 7 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $2.468418864$ 1.833495503 \( \frac{198387025}{153664} a - \frac{79186783}{19208} \) \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( a - 12\) , \( 21 a - 16\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a-12\right){x}+21a-16$
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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.