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Results (12 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
1536.1-a1 1536.1-a \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3 \) $0$ $\Z/4\Z$ $1$ $10.42897506$ 1.505292890 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2450 a - 4241\) , \( -86241 a + 149373\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2450a-4241\right){x}-86241a+149373$
1536.1-c1 1536.1-c \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3 \) $1$ $\Z/2\Z$ $1.171973525$ $10.42897506$ 3.528326832 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 34114 a - 59087\) , \( -4482861 a + 7764543\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(34114a-59087\right){x}-4482861a+7764543$
1536.1-v1 1536.1-v \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $4.355231857$ 2.514494285 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2450 a - 4241\) , \( 86241 a - 149373\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2450a-4241\right){x}+86241a-149373$
1536.1-x1 1536.1-x \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3 \) $1$ $\Z/2\Z$ $2.024272724$ $4.355231857$ 2.545011098 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 34114 a - 59087\) , \( 4482861 a - 7764543\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(34114a-59087\right){x}+4482861a-7764543$
3072.1-c1 3072.1-c \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $2.252849762$ 2.601366833 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 96 a - 160\) , \( 632 a - 1096\bigr] \) ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(96a-160\right){x}+632a-1096$
3072.1-h1 3072.1-h \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $0$ $\Z/2\Z$ $1$ $2.252849762$ 1.300683416 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 1312 a - 2272\) , \( 32872 a - 56936\bigr] \) ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(1312a-2272\right){x}+32872a-56936$
3072.1-bx1 3072.1-bx \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $1$ $\Z/4\Z$ $1.097450451$ $10.08069983$ 3.193632813 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 96 a - 160\) , \( -632 a + 1096\bigr] \) ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(96a-160\right){x}-632a+1096$
3072.1-cb1 3072.1-cb \(\Q(\sqrt{3}) \) \( 2^{10} \cdot 3 \) $1$ $\Z/2\Z$ $0.732026511$ $10.08069983$ 4.260463665 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 1312 a - 2272\) , \( -32872 a + 56936\bigr] \) ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(1312a-2272\right){x}-32872a+56936$
4608.1-b1 4608.1-b \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3^{2} \) $1$ $\Z/2\Z$ $0.396249456$ $8.230856948$ 3.766024158 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 102344 a - 177264\) , \( -23395972 a + 40523012\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(102344a-177264\right){x}-23395972a+40523012$
4608.1-c1 4608.1-c \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $8.230856948$ 2.376043737 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 7348 a - 12726\) , \( -455468 a + 788894\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(7348a-12726\right){x}-455468a+788894$
4608.1-bc1 4608.1-bc \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3^{2} \) $0$ $\Z/2\Z$ $1$ $1.839444128$ 1.062003562 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( a\) , \( 0\) , \( 102344 a - 177264\) , \( 23395972 a - 40523012\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(102344a-177264\right){x}+23395972a-40523012$
4608.1-bf1 4608.1-bf \(\Q(\sqrt{3}) \) \( 2^{9} \cdot 3^{2} \) $1$ $\Z/2\Z$ $4.070688009$ $1.839444128$ 4.323085168 \( -\frac{740855896}{3} a + \frac{1283201128}{3} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( 7348 a - 12726\) , \( 455468 a - 788894\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(7348a-12726\right){x}+455468a-788894$
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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.