## Results (32 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
50625.3-CMf1 50625.3-CMf $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $0$ $\Z/2\Z$ $-4$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(67i-35\right){x}-17i-34$
50625.3-CMe1 50625.3-CMe $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $0$ $\Z/2\Z$ $-4$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-68i-34\right){x}-17i+34$
50625.3-CMd1 50625.3-CMd $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $0$ $\Z/2\Z$ $-4$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-113i+55\right){x}+28i+56$
50625.3-CMc1 50625.3-CMc $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $0$ $\Z/2\Z$ $-4$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(112i+56\right){x}+28i-56$
50625.3-CMb1 50625.3-CMb $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $2$ $\Z/2\Z$ $-4$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(7i-5\right){x}-2i-4$
50625.3-CMa1 50625.3-CMa $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $2$ $\Z/2\Z$ $-4$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-8i-4\right){x}-2i+4$
50625.3-a1 50625.3-a $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ ${y}^2+i{y}={x}^{3}-75{x}-256$
50625.3-a2 50625.3-a $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ ${y}^2+i{y}={x}^{3}+375{x}+12344$
50625.3-b1 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(-23625i+88871\right){x}-9922500i-4089872$
50625.3-b2 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+\left(23625i+88871\right){x}+9922500i-4089872$
50625.3-b3 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-24754{x}-2820872$
50625.3-b4 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/4\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-4{x}+628$
50625.3-b5 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+7871{x}-141122$
50625.3-b6 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-2254{x}-19622$
50625.3-b7 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-1129{x}+14128$
50625.3-b8 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-30379{x}-2044622$
50625.3-b9 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/4\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-18004{x}+925378$
50625.3-b10 50625.3-b $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-486004{x}-130530872$
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-d1 50625.3-d $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-338i+2531\right){x}-47672i-9956$
50625.3-d2 50625.3-d $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(37i+280\right){x}+1953i-394$
50625.3-d3 50625.3-d $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(37i-94\right){x}-422i-81$
50625.3-d4 50625.3-d $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-338i-845\right){x}+9703i-1519$
50625.3-e1 50625.3-e $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-38i+281\right){x}-1672i-356$
50625.3-e2 50625.3-e $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(337i+2530\right){x}-47672i+9956$
50625.3-e3 50625.3-e $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(337i-844\right){x}-10547i-1856$
50625.3-e4 50625.3-e $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\Z/2\Z$ ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-38i-95\right){x}-422i+81$
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 $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}-4219$
50625.3-g1 50625.3-g $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ ${y}^2+{y}={x}^{3}-1875{x}+32031$
50625.3-g2 50625.3-g $$\Q(\sqrt{-1})$$ $$3^{4} \cdot 5^{4}$$ $1$ $\mathsf{trivial}$ ${y}^2+i{y}={x}^{3}+15{x}+99$