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Results (8 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
11858.2-a1 11858.2-a \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $2$ $\Z/2\Z$ $0.390271149$ $1.816873982$ 4.011125434 \( -\frac{2749884201}{54208} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -29\) , \( 69\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-29{x}+69$
11858.2-a2 11858.2-a \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $2$ $\Z/2\Z$ $1.561084599$ $0.908436991$ 4.011125434 \( \frac{11422548526761}{4312} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -469\) , \( 4029\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-469{x}+4029$
11858.2-b1 11858.2-b \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $2.405544247$ 3.401953300 \( -\frac{338608873}{13552} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -14\) , \( -28\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-14{x}-28$
11858.2-b2 11858.2-b \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $0$ $\Z/2\Z$ $1$ $1.202772123$ 3.401953300 \( \frac{1426487591593}{2156} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -234\) , \( -1480\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-234{x}-1480$
11858.2-c1 11858.2-c \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/4\Z$ $0.564696259$ $1.141049216$ 5.467459015 \( -\frac{5545233}{3469312} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -4\) , \( -89\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-4{x}-89$
11858.2-c2 11858.2-c \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/2\Z$ $2.258785036$ $0.285262304$ 5.467459015 \( \frac{24331017010833}{12004097336} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -604\) , \( 2343\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-604{x}+2343$
11858.2-c3 11858.2-c \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.129392518$ $0.570524608$ 5.467459015 \( \frac{3750606459153}{45914176} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -324\) , \( -2137\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-324{x}-2137$
11858.2-c4 11858.2-c \(\Q(\sqrt{-2}) \) \( 2 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/4\Z$ $2.258785036$ $0.285262304$ 5.467459015 \( \frac{15226621995131793}{2324168} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -5164\) , \( -141529\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-5164{x}-141529$
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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.