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Results (13 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
448.4-a6 448.4-a \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.891959002$ $1.004073929$ 1.436013054 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -299\) , \( 1990\bigr] \) ${y}^2={x}^{3}-299{x}+1990$
1792.5-c6 1792.5-c \(\Q(\sqrt{-7}) \) \( 2^{8} \cdot 7 \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $1.004073929$ 1.518017094 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -299\) , \( -1990\bigr] \) ${y}^2={x}^{3}-299{x}-1990$
3584.4-e6 3584.4-e \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.709987484$ 2.146800363 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -299 a + 598\) , \( 1990 a + 3980\bigr] \) ${y}^2={x}^{3}+\left(-299a+598\right){x}+1990a+3980$
3584.7-e6 3584.7-e \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.709987484$ 2.146800363 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 299 a + 299\) , \( -1990 a + 5970\bigr] \) ${y}^2={x}^{3}+\left(299a+299\right){x}-1990a+5970$
6272.4-a6 6272.4-a \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.379504273$ 1.147513062 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2093\) , \( -27860 a + 13930\bigr] \) ${y}^2={x}^{3}+2093{x}-27860a+13930$
6272.5-a6 6272.5-a \(\Q(\sqrt{-7}) \) \( 2^{7} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.379504273$ 1.147513062 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2093\) , \( 27860 a - 13930\bigr] \) ${y}^2={x}^{3}+2093{x}+27860a-13930$
7168.5-d6 7168.5-d \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.709987484$ 2.146800363 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -299 a + 598\) , \( -1990 a - 3980\bigr] \) ${y}^2={x}^{3}+\left(-299a+598\right){x}-1990a-3980$
7168.7-d6 7168.7-d \(\Q(\sqrt{-7}) \) \( 2^{10} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.709987484$ 2.146800363 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 299 a + 299\) , \( 1990 a - 5970\bigr] \) ${y}^2={x}^{3}+\left(299a+299\right){x}+1990a-5970$
25088.4-o6 25088.4-o \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.268350045$ 3.245657071 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2093 a - 4186\) , \( -69650 a + 83580\bigr] \) ${y}^2={x}^{3}+\left(2093a-4186\right){x}-69650a+83580$
25088.7-o6 25088.7-o \(\Q(\sqrt{-7}) \) \( 2^{9} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.268350045$ 3.245657071 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2093 a - 2093\) , \( 69650 a + 13930\bigr] \) ${y}^2={x}^{3}+\left(-2093a-2093\right){x}+69650a+13930$
28672.7-a6 28672.7-a \(\Q(\sqrt{-7}) \) \( 2^{12} \cdot 7 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.786954333$ $0.502036964$ 4.230644320 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -1196\) , \( 15920\bigr] \) ${y}^2={x}^{3}-1196{x}+15920$
28672.7-m6 28672.7-m \(\Q(\sqrt{-7}) \) \( 2^{12} \cdot 7 \) $2$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.066648067$ $0.502036964$ 6.274414190 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -1196\) , \( -15920\bigr] \) ${y}^2={x}^{3}-1196{x}-15920$
36288.4-d6 36288.4-d \(\Q(\sqrt{-7}) \) \( 2^{6} \cdot 3^{4} \cdot 7 \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $5.176488807$ $0.334691309$ 5.238665667 \( \frac{1443468546}{7} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -2691\) , \( -53730\bigr] \) ${y}^2={x}^{3}-2691{x}-53730$
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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.