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Results (11 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
98.1-a1 98.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.875417135$ 0.437708567 \( -\frac{548347731625}{1835008} \) \( \bigl[i\) , \( 0\) , \( i\) , \( -170\) , \( 874\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-170{x}+874$
4802.1-a1 4802.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{4} \) $1$ $\Z/2\Z$ $3.507207167$ $0.125059590$ 1.754439571 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -8355\) , \( 291341\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-8355{x}+291341$
7938.1-b1 7938.1-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{4} \cdot 7^{2} \) $1$ $\Z/6\Z$ $1.578501394$ $0.291805711$ 3.684925782 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -1535\) , \( 23591\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-1535{x}+23591$
12544.1-e1 12544.1-e \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.218854283$ 1.969688554 \( -\frac{548347731625}{1835008} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 2728\) , \( 55920 i\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+2728{x}+55920i$
19600.1-b1 19600.1-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.494032606$ $0.195749222$ 3.518813550 \( -\frac{548347731625}{1835008} \) \( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -2728 i - 2046\) , \( 76890 i + 13980\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-2728i-2046\right){x}+76890i+13980$
19600.3-b1 19600.3-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.494032606$ $0.195749222$ 3.518813550 \( -\frac{548347731625}{1835008} \) \( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 2728 i - 2046\) , \( 76890 i - 13980\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(2728i-2046\right){x}+76890i-13980$
28322.1-a1 28322.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $0.212319842$ 3.821757156 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( -i\) , \( 1\) , \( 1364 i + 2557\) , \( -45435 i + 41066\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(1364i+2557\right){x}-45435i+41066$
28322.3-a1 28322.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $0.212319842$ 3.821757156 \( -\frac{548347731625}{1835008} \) \( \bigl[i\) , \( -i\) , \( i\) , \( -1364 i + 2558\) , \( -45435 i - 41066\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-1364i+2558\right){x}-45435i-41066$
50176.1-i1 50176.1-i \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.154753348$ 1.392780133 \( -\frac{548347731625}{1835008} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -5456 i\) , \( -111840 i + 111840\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}-5456i{x}-111840i+111840$
50176.1-k1 50176.1-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.154753348$ 1.392780133 \( -\frac{548347731625}{1835008} \) \( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 5456 i\) , \( 111840 i + 111840\bigr] \) ${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+5456i{x}+111840i+111840$
61250.3-e1 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.513635302$ $0.175083427$ 6.474890094 \( -\frac{548347731625}{1835008} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -4262\) , \( 109219\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-4262{x}+109219$
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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.