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Results (11 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
38025.5-a1 38025.5-a \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.680358928$ 1.230815611 \( -\frac{762549907456}{24024195} \) \( \bigl[0\) , \( -1\) , \( 1\) , \( -190\) , \( 1101\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-190{x}+1101$
38025.5-b1 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.092658541$ 3.576012997 \( -\frac{55150149867714721}{5950927734375} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -7930\) , \( -296725\bigr] \) ${y}^2+{x}{y}={x}^{3}-7930{x}-296725$
38025.5-b2 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.185317083$ 3.576012997 \( \frac{24487529386319}{183539412225} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 605\) , \( -19750\bigr] \) ${y}^2+{x}{y}={x}^{3}+605{x}-19750$
38025.5-b3 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.370634167$ 3.576012997 \( \frac{1023887723039}{2798036865} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 210\) , \( 2277\bigr] \) ${y}^2+{x}{y}={x}^{3}+210{x}+2277$
38025.5-b4 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.741268334$ 3.576012997 \( \frac{168288035761}{27720225} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -115\) , \( 392\bigr] \) ${y}^2+{x}{y}={x}^{3}-115{x}+392$
38025.5-b5 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.370634167$ 3.576012997 \( \frac{15551989015681}{1445900625} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -520\) , \( -4225\bigr] \) ${y}^2+{x}{y}={x}^{3}-520{x}-4225$
38025.5-b6 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $1.482536669$ 3.576012997 \( \frac{147281603041}{5265} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -110\) , \( 435\bigr] \) ${y}^2+{x}{y}={x}^{3}-110{x}+435$
38025.5-b7 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.185317083$ 3.576012997 \( \frac{59319456301170001}{594140625} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -8125\) , \( -282568\bigr] \) ${y}^2+{x}{y}={x}^{3}-8125{x}-282568$
38025.5-b8 38025.5-b \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.092658541$ 3.576012997 \( \frac{242970740812818720001}{24375} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -130000\) , \( -18051943\bigr] \) ${y}^2+{x}{y}={x}^{3}-130000{x}-18051943$
38025.5-c1 38025.5-c \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.779030811$ 4.227959292 \( -\frac{32278933504}{27421875} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -66\) , \( -349\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}-66{x}-349$
38025.5-d1 38025.5-d \(\Q(\sqrt{-11}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $5.819237497$ 3.509132244 \( -\frac{4096}{195} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( 0\) , \( -1\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}-1$
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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.