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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
43.4-b1 43.4-b \(\Q(\zeta_{11})^+\) \( 43 \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.172110778$ 0.889001954 \( \frac{3443260198697718303446625}{43} a^{4} - \frac{6303449114592619950934258}{43} a^{3} - \frac{8535767899365460376030330}{43} a^{2} + \frac{17419485949931837709740318}{43} a - \frac{4143833314037896993105954}{43} \) \( \bigl[a^{4} + a^{3} - 4 a^{2} - 2 a + 2\) , \( a^{2} - 3\) , \( a^{2} - 2\) , \( 124 a^{4} + 151 a^{3} - 668 a^{2} - 260 a + 194\) , \( 581 a^{4} + 2293 a^{3} - 4817 a^{2} - 3846 a + 946\bigr] \) ${y}^2+\left(a^{4}+a^{3}-4a^{2}-2a+2\right){x}{y}+\left(a^{2}-2\right){y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(124a^{4}+151a^{3}-668a^{2}-260a+194\right){x}+581a^{4}+2293a^{3}-4817a^{2}-3846a+946$
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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.