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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-a5 75.1-a \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{2} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $10.19195692$ 1.471082268 \( \frac{13997521}{225} \) \( \bigl[1\) , \( -a\) , \( 0\) , \( 281 a - 486\) , \( 3516 a - 6090\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(281a-486\right){x}+3516a-6090$
75.1-b5 75.1-b \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $0.650156421$ $31.38702211$ 0.736355203 \( \frac{13997521}{225} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 281 a - 486\) , \( -3516 a + 6090\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(281a-486\right){x}-3516a+6090$
1875.1-c5 1875.1-c \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{4} \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.038391385$ 1.176865815 \( \frac{13997521}{225} \) \( \bigl[a\) , \( -1\) , \( a\) , \( -127\) , \( -524\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-127{x}-524$
1875.1-d5 1875.1-d \(\Q(\sqrt{3}) \) \( 3 \cdot 5^{4} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1.200487677$ $6.277404423$ 4.350880830 \( \frac{13997521}{225} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -126\) , \( 523\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-126{x}+523$
3600.1-d5 3600.1-d \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.666165185$ $5.163131942$ 3.971591054 \( \frac{13997521}{225} \) \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 62\) , \( -113 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-62\right){x}-113a-1$
3600.1-j5 3600.1-j \(\Q(\sqrt{3}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $0.666165185$ $5.163131942$ 3.971591054 \( \frac{13997521}{225} \) \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -a - 62\) , \( 112 a - 1\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-62\right){x}+112a-1$
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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.