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Results (1-50 of 52 matches)

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Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
324.1-a1 324.1-a $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{4}$$ $0$ $\Z/6\Z$ $-3$ ${y}^2={x}^{3}-1$
324.1-a2 324.1-a $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{4}$$ $0$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+27$
729.1-a3 729.1-a $$\Q(\sqrt{-1})$$ $$3^{6}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}$
729.1-a4 729.1-a $$\Q(\sqrt{-1})$$ $$3^{6}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}-7$
2916.1-b1 2916.1-b $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}-i$
2916.1-b2 2916.1-b $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}+13i$
18225.1-c1 18225.1-c $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+i{y}={x}^{3}-6i+2$
18225.1-c2 18225.1-c $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+i{y}={x}^{3}+162i-47$
18225.1-d1 18225.1-d $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}-i-1$
18225.1-d2 18225.1-d $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+27i+20$
18225.3-c1 18225.3-c $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}+i-1$
18225.3-c2 18225.3-c $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}-27i+20$
18225.3-d1 18225.3-d $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+i{y}={x}^{3}+6i+2$
18225.3-d2 18225.3-d $$\Q(\sqrt{-1})$$ $$3^{6} \cdot 5^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+i{y}={x}^{3}-162i-47$
20736.1-d1 20736.1-d $$\Q(\sqrt{-1})$$ $$2^{8} \cdot 3^{4}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}-i$
20736.1-d2 20736.1-d $$\Q(\sqrt{-1})$$ $$2^{8} \cdot 3^{4}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+27i$
32400.1-c1 32400.1-c $$\Q(\sqrt{-1})$$ $$2^{4} \cdot 3^{4} \cdot 5^{2}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+2i-11$
32400.1-c2 32400.1-c $$\Q(\sqrt{-1})$$ $$2^{4} \cdot 3^{4} \cdot 5^{2}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}-54i+297$
32400.3-c1 32400.3-c $$\Q(\sqrt{-1})$$ $$2^{4} \cdot 3^{4} \cdot 5^{2}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+54i+297$
32400.3-c2 32400.3-c $$\Q(\sqrt{-1})$$ $$2^{4} \cdot 3^{4} \cdot 5^{2}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}-2i-11$
50625.3-c1 50625.3-c $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+i{y}={x}^{3}+34$
50625.3-c2 50625.3-c $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+i{y}={x}^{3}-1$
50625.3-f1 50625.3-f $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}+156$
50625.3-f2 50625.3-f $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}-4219$
59049.1-a1 59049.1-a $$\Q(\sqrt{-1})$$ $$3^{10}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}-1$
59049.1-a2 59049.1-a $$\Q(\sqrt{-1})$$ $$3^{10}$$ $2$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}+20$
59049.1-b1 59049.1-b $$\Q(\sqrt{-1})$$ $$3^{10}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}-61$
59049.1-b2 59049.1-b $$\Q(\sqrt{-1})$$ $$3^{10}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}+2$
72900.1-c1 72900.1-c $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2={x}^{3}-4i-3$
72900.1-c2 72900.1-c $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+108i+81$
72900.1-d1 72900.1-d $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}-4i-12$
72900.1-d2 72900.1-d $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}+94i+324$
72900.1-e1 72900.1-e $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2={x}^{3}+24i-7$
72900.1-e2 72900.1-e $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}-648i+189$
72900.1-f1 72900.1-f $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}-2i+2$
72900.1-f2 72900.1-f $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}+40i-54$
72900.3-c1 72900.3-c $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2={x}^{3}-24i-7$
72900.3-c2 72900.3-c $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+648i+189$
72900.3-d1 72900.3-d $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}-2i-2$
72900.3-d2 72900.3-d $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}+40i+54$
72900.3-e1 72900.3-e $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\Z/3\Z$ $-3$ ${y}^2={x}^{3}-4i+3$
72900.3-e2 72900.3-e $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+108i-81$
72900.3-f1 72900.3-f $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}-4i+12$
72900.3-f2 72900.3-f $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{6} \cdot 5^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(i+1\right){y}={x}^{3}+94i-324$
82944.1-j1 82944.1-j $$\Q(\sqrt{-1})$$ $$2^{10} \cdot 3^{4}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}-2i-2$
82944.1-j2 82944.1-j $$\Q(\sqrt{-1})$$ $$2^{10} \cdot 3^{4}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+54i+54$
82944.1-k1 82944.1-k $$\Q(\sqrt{-1})$$ $$2^{10} \cdot 3^{4}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}-54i+54$
82944.1-k2 82944.1-k $$\Q(\sqrt{-1})$$ $$2^{10} \cdot 3^{4}$$ $1$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+2i-2$
93636.1-a1 93636.1-a $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{4} \cdot 17^{2}$$ $0$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}+1404i-1269$
93636.1-a2 93636.1-a $$\Q(\sqrt{-1})$$ $$2^{2} \cdot 3^{4} \cdot 17^{2}$$ $0$ $\Z/2\Z$ $-3$ ${y}^2={x}^{3}-52i+47$
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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.