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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
2025.1-a1 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $0.186308476$ 2.253375518 \( -\frac{147281603041}{215233605} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -990\) , \( 22765\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-990{x}+22765$
2025.1-a2 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $2.980935616$ 2.253375518 \( -\frac{1}{15} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 0\) , \( -5\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-5$
2025.1-a3 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $0.372616952$ 2.253375518 \( \frac{4733169839}{3515625} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( 315\) , \( 1066\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+315{x}+1066$
2025.1-a4 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.745233904$ 2.253375518 \( \frac{111284641}{50625} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -90\) , \( 175\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-90{x}+175$
2025.1-a5 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.490467808$ 2.253375518 \( \frac{13997521}{225} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -45\) , \( -104\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-45{x}-104$
2025.1-a6 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $0.372616952$ 2.253375518 \( \frac{272223782641}{164025} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -1215\) , \( 16600\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-1215{x}+16600$
2025.1-a7 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $0.745233904$ 2.253375518 \( \frac{56667352321}{15} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -720\) , \( -7259\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-720{x}-7259$
2025.1-a8 2025.1-a \(\Q(\sqrt{-7}) \) \( 3^{4} \cdot 5^{2} \) $0$ $\Z/2\Z$ $1$ $0.186308476$ 2.253375518 \( \frac{1114544804970241}{405} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -19440\) , \( 1048135\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-19440{x}+1048135$
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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.