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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
4.2-a2 4.2-a 3.3.733.1 \( 2^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $184.3090226$ 1.701902269 \( -809793037 a^{2} - 144300549 a + 5498539288 \) \( \bigl[a\) , \( a\) , \( 0\) , \( 1117 a^{2} + 1696 a - 3548\) , \( -21789 a^{2} - 33080 a + 69221\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(1117a^{2}+1696a-3548\right){x}-21789a^{2}-33080a+69221$
16.3-b2 16.3-b 3.3.733.1 \( 2^{4} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $215.2987824$ 1.988060494 \( -809793037 a^{2} - 144300549 a + 5498539288 \) \( \bigl[a^{2} + a - 4\) , \( a^{2} - a - 6\) , \( a^{2} - 4\) , \( 483 a^{2} + 734 a - 1528\) , \( -6060 a^{2} - 9202 a + 19247\bigr] \) ${y}^2+\left(a^{2}+a-4\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(a^{2}-a-6\right){x}^{2}+\left(483a^{2}+734a-1528\right){x}-6060a^{2}-9202a+19247$
64.4-f2 64.4-f 3.3.733.1 \( 2^{6} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $50.04044596$ 3.696572087 \( -809793037 a^{2} - 144300549 a + 5498539288 \) \( \bigl[a^{2} + a - 4\) , \( -a^{2} + 4\) , \( a^{2} + a - 4\) , \( -19 a^{2} + 65 a - 48\) , \( 90 a^{2} - 333 a + 268\bigr] \) ${y}^2+\left(a^{2}+a-4\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}+\left(-a^{2}+4\right){x}^{2}+\left(-19a^{2}+65a-48\right){x}+90a^{2}-333a+268$
64.4-i1 64.4-i 3.3.733.1 \( 2^{6} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.626129519$ $42.83770479$ 3.859407168 \( -809793037 a^{2} - 144300549 a + 5498539288 \) \( \bigl[a^{2} - 4\) , \( -1\) , \( 0\) , \( -a^{2} + 5 a - 5\) , \( -2 a^{2} + 8 a - 7\bigr] \) ${y}^2+\left(a^{2}-4\right){x}{y}={x}^{3}-{x}^{2}+\left(-a^{2}+5a-5\right){x}-2a^{2}+8a-7$
100.4-a1 100.4-a 3.3.733.1 \( 2^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $27.30099104$ 1.008385112 \( -809793037 a^{2} - 144300549 a + 5498539288 \) \( \bigl[a^{2} - 4\) , \( a^{2} - 4\) , \( a^{2} - 4\) , \( -25 a^{2} + 98 a - 84\) , \( 75 a^{2} - 274 a + 217\bigr] \) ${y}^2+\left(a^{2}-4\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(a^{2}-4\right){x}^{2}+\left(-25a^{2}+98a-84\right){x}+75a^{2}-274a+217$
196.4-d2 196.4-d 3.3.733.1 \( 2^{2} \cdot 7^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $0.062503022$ $81.37529086$ 1.690768289 \( -809793037 a^{2} - 144300549 a + 5498539288 \) \( \bigl[a^{2} + a - 4\) , \( a^{2} - 6\) , \( a^{2} - 4\) , \( 78352 a^{2} + 118955 a - 248912\) , \( -13546907 a^{2} - 20566897 a + 43036813\bigr] \) ${y}^2+\left(a^{2}+a-4\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(a^{2}-6\right){x}^{2}+\left(78352a^{2}+118955a-248912\right){x}-13546907a^{2}-20566897a+43036813$
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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.