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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
1600.4-a3 1600.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 5^{2} \) $0$ $\Z/4\Z$ $1$ $5.993777963$ 1.132717564 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) ${y}^2={x}^{3}-2{x}+1$
6400.5-b3 6400.5-b \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $5.993777963$ 1.132717564 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( -1\bigr] \) ${y}^2={x}^{3}-2{x}-1$
12800.4-g3 12800.4-g \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $4.238241043$ 3.203809084 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a + 4\) , \( a + 2\bigr] \) ${y}^2={x}^{3}+\left(-2a+4\right){x}+a+2$
12800.7-g3 12800.7-g \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $4.238241043$ 3.203809084 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a + 2\) , \( -a + 3\bigr] \) ${y}^2={x}^{3}+\left(2a+2\right){x}-a+3$
25600.5-c3 25600.5-c \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $4.238241043$ 1.601904542 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a + 4\) , \( -a - 2\bigr] \) ${y}^2={x}^{3}+\left(-2a+4\right){x}-a-2$
25600.7-c3 25600.7-c \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $4.238241043$ 1.601904542 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a + 2\) , \( a - 3\bigr] \) ${y}^2={x}^{3}+\left(2a+2\right){x}+a-3$
40000.4-e3 40000.4-e \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 5^{4} \) $1$ $\Z/4\Z$ $3.156731320$ $1.198755592$ 5.721096022 \( \frac{55296}{5} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -50\) , \( 125\bigr] \) ${y}^2={x}^{3}-50{x}+125$
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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.