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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
11.1-a2 11.1-a \(\Q(\zeta_{11})^+\) \( 11 \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $3.293564976$ 0.680488632 \( -\frac{122023936}{161051} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$
121.1-c2 121.1-c \(\Q(\zeta_{11})^+\) \( 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $63.74661725$ 1.05366309 \( -\frac{122023936}{161051} \) \( \bigl[0\) , \( a - 1\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -10 a^{2} - 42 a - 41\) , \( -a^{4} + 19 a^{3} + 131 a^{2} + 279 a + 198\bigr] \) ${y}^2+\left(a^{3}+a^{2}-2a-1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a^{2}-42a-41\right){x}-a^{4}+19a^{3}+131a^{2}+279a+198$
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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.