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Results (14 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
196.2-a10 196.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $0.437708567$ 0.505422318 \( \frac{2251439055699625}{25088} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$
9604.3-c10 9604.3-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.062529795$ 2.599314781 \( \frac{2251439055699625}{25088} \) \( \bigl[a\) , \( a - 1\) , \( 0\) , \( 133795 a\) , \( 18781197\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+133795a{x}+18781197$
12348.2-a10 12348.2-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.637158682$ $0.095515840$ 2.326864094 \( \frac{2251439055699625}{25088} \) \( \bigl[1\) , \( a\) , \( 1\) , \( -65532 a + 40957\) , \( -3308745 a + 6121178\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-65532a+40957\right){x}-3308745a+6121178$
12348.3-a10 12348.3-a \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3^{2} \cdot 7^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.637158682$ $0.095515840$ 2.326864094 \( \frac{2251439055699625}{25088} \) \( \bigl[a\) , \( a\) , \( 1\) , \( -40958 a + 65532\) , \( 3308745 a + 2812433\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-40958a+65532\right){x}+3308745a+2812433$
12544.2-k10 12544.2-k \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.157002788$ $0.109427141$ 3.191239339 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -43688\) , \( 3529328\bigr] \) ${y}^2={x}^{3}-{x}^{2}-43688{x}+3529328$
33124.4-c10 33124.4-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{2} \cdot 13^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.121398514$ 2.523220734 \( \frac{2251439055699625}{25088} \) \( \bigl[a\) , \( 1\) , \( 1\) , \( -19114 a - 21844\) , \( -1985247 a - 937478\bigr] \) ${y}^2+a{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-19114a-21844\right){x}-1985247a-937478$
33124.6-c10 33124.6-c \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 7^{2} \cdot 13^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.121398514$ 2.523220734 \( \frac{2251439055699625}{25088} \) \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 21844 a + 19113\) , \( 1985247 a - 2922725\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21844a+19113\right){x}+1985247a-2922725$
87808.2-a10 87808.2-a \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.359079322$ $0.041359572$ 2.566762269 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( -131065 a + 349507\) , \( -63309463 a - 3398263\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(-131065a+349507\right){x}-63309463a-3398263$
87808.2-r10 87808.2-r \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.041359572$ 3.438570245 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -218442 a - 131065\) , \( 63309463 a + 3398263\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-218442a-131065\right){x}+63309463a+3398263$
87808.3-c10 87808.3-c \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{3} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $3.359079322$ $0.041359572$ 2.566762269 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( 1\) , \( 0\) , \( 131065 a + 218442\) , \( 63309463 a - 66707726\bigr] \) ${y}^2={x}^{3}+{x}^{2}+\left(131065a+218442\right){x}+63309463a-66707726$
87808.3-t10 87808.3-t \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 7^{3} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.041359572$ 3.438570245 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -349507 a + 131065\) , \( -63309463 a + 66707726\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-349507a+131065\right){x}-63309463a+66707726$
112896.2-r10 112896.2-r \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.063177789$ 2.626251405 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 131065\) , \( -21044903 a + 10587984\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+131065\right){x}-21044903a+10587984$
112896.2-ba10 112896.2-ba \(\Q(\sqrt{-3}) \) \( 2^{8} \cdot 3^{2} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.063177789$ 2.626251405 \( \frac{2251439055699625}{25088} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -131064 a\) , \( 21175968 a - 10587984\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-131064a{x}+21175968a-10587984$
122500.2-e10 122500.2-e \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 5^{4} \cdot 7^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.087541713$ 3.639040694 \( \frac{2251439055699625}{25088} \) \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -68262 a + 68262\) , \( -6824956\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-68262a+68262\right){x}-6824956$
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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.