## Results (13 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
75.1-a6 75.1-a $$\Q(\sqrt{-3})$$ $$3 \cdot 5^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$
1875.1-b6 1875.1-b $$\Q(\sqrt{-3})$$ $$3 \cdot 5^{4}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}-3376{x}-75727$
11025.1-c6 11025.1-c $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 5^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2025a+1215\right){x}-37159a+66759$
11025.3-c6 11025.3-c $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 5^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1213a-2026\right){x}+33919a+30815$
12675.1-a6 12675.1-a $$\Q(\sqrt{-3})$$ $$3 \cdot 5^{2} \cdot 13^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1079a+2025\right){x}-21863a-9057$
12675.3-a6 12675.3-a $$\Q(\sqrt{-3})$$ $$3 \cdot 5^{2} \cdot 13^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2025a+1081\right){x}+22808a-32945$
19200.1-g6 19200.1-g $$\Q(\sqrt{-3})$$ $$2^{8} \cdot 3 \cdot 5^{2}$$ $1$ $\Z/2\Z\oplus\Z/4\Z$ ${y}^2={x}^{3}+{x}^{2}-2160{x}+37908$
57600.1-j6 57600.1-j $$\Q(\sqrt{-3})$$ $$2^{8} \cdot 3^{2} \cdot 5^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}-6480a{x}-227448a+113724$
57600.1-k6 57600.1-k $$\Q(\sqrt{-3})$$ $$2^{8} \cdot 3^{2} \cdot 5^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(6482a-6481\right){x}+233929a-120205$
81225.1-a6 81225.1-a $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 5^{2} \cdot 19^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-2026a-6481\right){x}-104775a-192360$
81225.3-a6 81225.3-a $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 5^{2} \cdot 19^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(6481a+2025\right){x}+104774a-297134$
102675.1-a6 102675.1-a $$\Q(\sqrt{-3})$$ $$3 \cdot 5^{2} \cdot 37^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(945a+4456\right){x}+151963a-107681$
102675.3-a6 102675.3-a $$\Q(\sqrt{-3})$$ $$3 \cdot 5^{2} \cdot 37^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(5401a-4456\right){x}-151963a+44282$