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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
12544.2-d3 12544.2-d \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $4.459563779$ 1.287365174 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2\) , \( 2 a - 1\bigr] \) ${y}^2={x}^{3}+2{x}+2a-1$
12544.2-h3 12544.2-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $4.459563779$ 1.287365174 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 2\) , \( -2 a + 1\bigr] \) ${y}^2={x}^{3}+2{x}-2a+1$
21952.2-f3 21952.2-f \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 7^{3} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.765156666$ $1.685556673$ 2.978469037 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 10 a + 6\) , \( -20 a + 37\bigr] \) ${y}^2={x}^{3}+\left(10a+6\right){x}-20a+37$
21952.3-f3 21952.3-f \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 7^{3} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.765156666$ $1.685556673$ 2.978469037 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 16 a - 6\) , \( 20 a + 17\bigr] \) ${y}^2={x}^{3}+\left(16a-6\right){x}+20a+17$
28224.2-c3 28224.2-c \(\Q(\sqrt{-3}) \) \( 2^{6} \cdot 3^{2} \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.257561760$ $2.574730348$ 3.062968257 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -6\) , \( 9\bigr] \) ${y}^2={x}^{3}-6{x}+9$
87808.2-g3 87808.2-g \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{3} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.685556673$ 0.973156599 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 10 a + 6\) , \( 20 a - 37\bigr] \) ${y}^2={x}^{3}+\left(10a+6\right){x}+20a-37$
87808.3-h3 87808.3-h \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{3} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $1.685556673$ 0.973156599 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( 16 a - 6\) , \( -20 a - 17\bigr] \) ${y}^2={x}^{3}+\left(16a-6\right){x}-20a-17$
112896.2-bi3 112896.2-bi \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $2.574730348$ 2.973042519 \( -\frac{55296}{49} \) \( \bigl[0\) , \( 0\) , \( 0\) , \( -6 a + 6\) , \( -9\bigr] \) ${y}^2={x}^{3}+\left(-6a+6\right){x}-9$
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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.