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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-a2 98.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{2} \) $0$ $\Z/6\Z$ $1$ $7.878754216$ 0.437708567 \( -\frac{15625}{28} \) \( \bigl[i\) , \( 0\) , \( i\) , \( 0\) , \( 0\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}$
4802.1-a2 4802.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{4} \) $1$ $\Z/2\Z$ $0.389689685$ $1.125536316$ 1.754439571 \( -\frac{15625}{28} \) \( \bigl[1\) , \( 1\) , \( 0\) , \( -25\) , \( -111\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-25{x}-111$
7938.1-b2 7938.1-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.175389043$ $2.626251405$ 3.684925782 \( -\frac{15625}{28} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -5\) , \( -7\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-5{x}-7$
12544.1-e2 12544.1-e \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $1.969688554$ 1.969688554 \( -\frac{15625}{28} \) \( \bigl[0\) , \( i\) , \( 0\) , \( 8\) , \( -16 i\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+8{x}-16i$
19600.1-b2 19600.1-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.499336956$ $1.761743000$ 3.518813550 \( -\frac{15625}{28} \) \( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -8 i - 6\) , \( -22 i - 4\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-8i-6\right){x}-22i-4$
19600.3-b2 19600.3-b \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.499336956$ $1.761743000$ 3.518813550 \( -\frac{15625}{28} \) \( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 8 i - 6\) , \( -22 i + 4\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(8i-6\right){x}-22i+4$
28322.1-a2 28322.1-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $1.910878578$ 3.821757156 \( -\frac{15625}{28} \) \( \bigl[1\) , \( -i\) , \( 1\) , \( 4 i + 7\) , \( 13 i - 12\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(4i+7\right){x}+13i-12$
28322.3-a2 28322.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $1.910878578$ 3.821757156 \( -\frac{15625}{28} \) \( \bigl[i\) , \( -i\) , \( i\) , \( -4 i + 8\) , \( 13 i + 12\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-4i+8\right){x}+13i+12$
50176.1-i2 50176.1-i \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $1.392780133$ 1.392780133 \( -\frac{15625}{28} \) \( \bigl[0\) , \( i + 1\) , \( 0\) , \( -16 i\) , \( 32 i - 32\bigr] \) ${y}^2={x}^{3}+\left(i+1\right){x}^{2}-16i{x}+32i-32$
50176.1-k2 50176.1-k \(\Q(\sqrt{-1}) \) \( 2^{10} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $1.392780133$ 1.392780133 \( -\frac{15625}{28} \) \( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 16 i\) , \( -32 i - 32\bigr] \) ${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+16i{x}-32i-32$
61250.3-e2 61250.3-e \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \cdot 7^{2} \) $1$ $\Z/2\Z$ $0.513635302$ $1.575750843$ 6.474890094 \( -\frac{15625}{28} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -12\) , \( -31\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-12{x}-31$
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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.