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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
200.2-a3 200.2-a \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 5^{2} \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $2.996888981$ 0.749222245 \( \frac{237276}{625} \) \( \bigl[i + 1\) , \( i\) , \( 0\) , \( -4\) , \( -6 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}-4{x}-6i$
225.2-a6 225.2-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $2.235701712$ 0.558925428 \( \frac{111284641}{50625} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -10\) , \( -10\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$
5525.5-b9 5525.5-b \(\Q(\sqrt{-1}) \) \( 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.125571825$ $0.734517914$ 1.653505339 \( \frac{226834389543384}{59636082025} a + \frac{4972600364093721}{1490902050625} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -105 i + 39\) , \( 15 i - 399\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(-105i+39\right){x}+15i-399$
5525.8-b9 5525.8-b \(\Q(\sqrt{-1}) \) \( 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1.125571825$ $0.734517914$ 1.653505339 \( -\frac{226834389543384}{59636082025} a + \frac{4972600364093721}{1490902050625} \) \( \bigl[i\) , \( 1\) , \( i\) , \( 105 i + 39\) , \( -15 i - 399\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(105i+39\right){x}-15i-399$
7650.3-d3 7650.3-d \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.370147195$ 2.961177564 \( -\frac{4726501092598558}{880885546875} a - \frac{81525979253294953}{10570626562500} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -455 i - 205\) , \( 4550 i - 500\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(-455i-205\right){x}+4550i-500$
7650.4-d3 7650.4-d \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.370147195$ 2.961177564 \( \frac{4726501092598558}{880885546875} a - \frac{81525979253294953}{10570626562500} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 455 i - 205\) , \( -4550 i - 500\bigr] \) ${y}^2+{x}{y}={x}^{3}+\left(455i-205\right){x}-4550i-500$
8450.5-c5 8450.5-c \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.675991984$ 2.703967938 \( -\frac{32798729601}{71402500} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -66\) , \( 441\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-66{x}+441$
22050.2-d5 22050.2-d \(\Q(\sqrt{-1}) \) \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.110519370$ 3.536619863 \( \frac{47595748626367201}{1215506250000} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -7550\) , \( 247500\bigr] \) ${y}^2+i{x}{y}={x}^{3}-7550{x}+247500$
23400.3-c7 23400.3-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.586538713$ 2.346154853 \( -\frac{180392107616}{96393375} a - \frac{1762911127684}{1445900625} \) \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( 140 i - 10\) , \( -500 i - 600\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}-i{x}^{2}+\left(140i-10\right){x}-500i-600$
23400.4-c7 23400.4-c \(\Q(\sqrt{-1}) \) \( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.586538713$ 2.346154853 \( \frac{180392107616}{96393375} a - \frac{1762911127684}{1445900625} \) \( \bigl[i + 1\) , \( -i\) , \( 0\) , \( -140 i - 10\) , \( -500 i + 600\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}-i{x}^{2}+\left(-140i-10\right){x}-500i+600$
38025.5-a7 38025.5-a \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 13^{2} \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.370634167$ 1.482536669 \( \frac{15551989015681}{1445900625} \) \( \bigl[i\) , \( 0\) , \( 0\) , \( -520\) , \( 4225\bigr] \) ${y}^2+i{x}{y}={x}^{3}-520{x}+4225$
84050.5-f1 84050.5-f \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 41^{2} \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.059517308$ 2.856830815 \( -\frac{1106280483969259521}{70644025000000} \) \( \bigl[i\) , \( 1\) , \( i\) , \( -21546\) , \( 1277381\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-21546{x}+1277381$
84825.5-b3 84825.5-b \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.185677734$ 1.485421873 \( \frac{15245709159221234008}{213053758323046875} a - \frac{49739276737014736007}{639161274969140625} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -35 i + 556\) , \( 20195 i - 5545\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+\left(-35i+556\right){x}+20195i-5545$
84825.8-b3 84825.8-b \(\Q(\sqrt{-1}) \) \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) 0 $\Z/4\Z\oplus\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $0.185677734$ 1.485421873 \( -\frac{15245709159221234008}{213053758323046875} a - \frac{49739276737014736007}{639161274969140625} \) \( \bigl[i\) , \( -1\) , \( i\) , \( 35 i + 556\) , \( -20195 i - 5545\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+\left(35i+556\right){x}-20195i-5545$
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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.