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Results (7 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
3872.14-a1 3872.14-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.292255878$ $2.457844850$ 2.171994331 \( \frac{704969}{484} \) \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -6 a + 2\) , \( 0\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-6a+2\right){x}$
3872.5-a1 3872.5-a \(\Q(\sqrt{-7}) \) \( 2^{5} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.292255878$ $2.457844850$ 2.171994331 \( \frac{704969}{484} \) \( \bigl[a\) , \( -a\) , \( 0\) , \( 6 a - 4\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(6a-4\right){x}$
5324.6-b1 5324.6-b \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11^{3} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.482136211$ 2.240779327 \( \frac{704969}{484} \) \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 16 a - 2\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-2\right){x}$
5324.7-e1 5324.7-e \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 11^{3} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.482136211$ 2.240779327 \( \frac{704969}{484} \) \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -14 a + 12\) , \( 15 a - 13\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-14a+12\right){x}+15a-13$
15488.20-f2 15488.20-f \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.209169567$ $1.737958760$ 6.354298938 \( \frac{704969}{484} \) \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 10 a - 15\) , \( -4 a - 19\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(10a-15\right){x}-4a-19$
15488.5-f2 15488.5-f \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.209169567$ $1.737958760$ 6.354298938 \( \frac{704969}{484} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -10 a - 4\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a-4\right){x}$
23716.5-o2 23716.5-o \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 7^{2} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.857956067$ 5.617931086 \( \frac{704969}{484} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 13\) , \( 13\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+13{x}+13$
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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.