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Results (6 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
75.1-a7 75.1-a \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.547989231$ 1.471082268 \( \frac{56667352321}{15} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( 4481 a - 7761\) , \( 217866 a - 377355\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(4481a-7761\right){x}+217866a-377355$
75.1-b7 75.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{2} \) $1$ $\Z/8\Z$ $\mathrm{SU}(2)$ $1.300312843$ $31.38702211$ 0.736355203 \( \frac{56667352321}{15} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 4481 a - 7761\) , \( -217866 a + 377355\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(4481a-7761\right){x}-217866a+377355$
1875.1-c7 1875.1-c \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.509597846$ 1.176865815 \( \frac{56667352321}{15} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -2002\) , \( -34274\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-2002{x}-34274$
1875.1-d7 1875.1-d \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{4} \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.400975354$ $6.277404423$ 4.350880830 \( \frac{56667352321}{15} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -2001\) , \( 34273\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-2001{x}+34273$
3600.1-d7 3600.1-d \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.332330370$ $2.581565971$ 3.971591054 \( \frac{56667352321}{15} \) \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 962\) , \( -6773 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-962\right){x}-6773a-1$
3600.1-j7 3600.1-j \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.332330370$ $2.581565971$ 3.971591054 \( \frac{56667352321}{15} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -a - 962\) , \( 6772 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-962\right){x}+6772a-1$
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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.