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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
81225.2-a1 81225.2-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.269654355$ $1.577532480$ 2.126942524 \( \frac{756058031}{438615} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( 19\) , \( 0\bigr] \) ${y}^2+i{x}{y}={x}^{3}+19{x}$
81225.2-a2 81225.2-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.134827177$ $0.788766240$ 2.126942524 \( \frac{48587168449}{28048275} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -76\) , \( 19\bigr] \) ${y}^2+i{x}{y}={x}^{3}-76{x}+19$
81225.2-b1 81225.2-b \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $2.101383662$ $1.959065350$ 4.116747922 \( \frac{357911}{135375} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( 2\) , \( 17\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}+2{x}+17$
81225.2-b2 81225.2-b \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $1.050691831$ $0.979532675$ 4.116747922 \( \frac{90458382169}{2671875} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( -93\) , \( 378\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}-93{x}+378$
81225.2-c1 81225.2-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $0.213379982$ $0.885163107$ 6.799539173 \( \frac{1256216039}{15582375} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( 23\) , \( 176\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}+23{x}+176$
81225.2-c2 81225.2-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/4\Z$ $0.853519928$ $0.221290776$ 6.799539173 \( \frac{209595169258201}{41748046875} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( -1237\) , \( -13054\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}-1237{x}-13054$
81225.2-c3 81225.2-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.426759964$ $0.442581553$ 6.799539173 \( \frac{6189976379881}{456890625} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( -382\) , \( 2849\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}-382{x}+2849$
81225.2-c4 81225.2-c \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/4\Z$ $0.853519928$ $0.221290776$ 6.799539173 \( \frac{23977812996389881}{146611125} \) \( \bigl[i\) , \( -1\) , \( 0\) , \( -6007\) , \( 181724\bigr] \) ${y}^2+i{x}{y}={x}^{3}-{x}^{2}-6007{x}+181724$
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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.