## Results (1-50 of 496 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
49.1-CMa1 49.1-CMa $$\Q(\sqrt{-3})$$ $$7^{2}$$ $0$ $\Z/7\Z$ $-3$ ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
49.3-CMa1 49.3-CMa $$\Q(\sqrt{-3})$$ $$7^{2}$$ $0$ $\Z/7\Z$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-a$
81.1-CMa1 81.1-CMa $$\Q(\sqrt{-3})$$ $$3^{4}$$ $0$ $\Z/3\Z\oplus\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}$
144.1-CMa1 144.1-CMa $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 3^{2}$$ $0$ $\Z/2\Z\oplus\Z/6\Z$ $-3$ ${y}^2={x}^{3}+1$
256.1-CMb1 256.1-CMb $$\Q(\sqrt{-3})$$ $$2^{8}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}$
256.1-CMa1 256.1-CMa $$\Q(\sqrt{-3})$$ $$2^{8}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
441.1-CMa1 441.1-CMa $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 7^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+a{y}={x}^{3}-10a+14$
441.3-CMa1 441.3-CMa $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 7^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+9a+4$
729.1-CMb1 729.1-CMb $$\Q(\sqrt{-3})$$ $$3^{6}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}-a$
729.1-CMa1 729.1-CMa $$\Q(\sqrt{-3})$$ $$3^{6}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+a{y}={x}^{3}$
784.1-CMb1 784.1-CMb $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 7^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}+94a-105$
784.1-CMa1 784.1-CMa $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 7^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}-2a+4$
784.3-CMb1 784.3-CMb $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 7^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-94a-11$
784.3-CMa1 784.3-CMa $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 7^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}+2a+2$
961.1-CMa1 961.1-CMa $$\Q(\sqrt{-3})$$ $$31^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}+287a-76$
961.3-CMa1 961.3-CMa $$\Q(\sqrt{-3})$$ $$31^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-287a+211$
1296.1-CMa1 1296.1-CMa $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 3^{4}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2={x}^{3}+4$
1521.1-CMb1 1521.1-CMb $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 13^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+a{y}={x}^{3}-136a+165$
1521.1-CMa1 1521.1-CMa $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 13^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+a{y}={x}^{3}-4a+2$
1521.3-CMb1 1521.3-CMb $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 13^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+135a+29$
1521.3-CMa1 1521.3-CMa $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 13^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+3a-2$
1849.1-CMa1 1849.1-CMa $$\Q(\sqrt{-3})$$ $$43^{2}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}$
1849.3-CMa1 1849.3-CMa $$\Q(\sqrt{-3})$$ $$43^{2}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}$
2304.1-CMa1 2304.1-CMa $$\Q(\sqrt{-3})$$ $$2^{8} \cdot 3^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}-1$
2401.3-CMd1 2401.3-CMd $$\Q(\sqrt{-3})$$ $$7^{4}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-27a+50$
2401.3-CMc1 2401.3-CMc $$\Q(\sqrt{-3})$$ $$7^{4}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-10a+48$
2401.3-CMb1 2401.3-CMb $$\Q(\sqrt{-3})$$ $$7^{4}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}+9a+38$
2401.3-CMa1 2401.3-CMa $$\Q(\sqrt{-3})$$ $$7^{4}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}+27a+23$
3969.1-CMc1 3969.1-CMc $$\Q(\sqrt{-3})$$ $$3^{4} \cdot 7^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}-159a+177$
3969.1-CMb1 3969.1-CMb $$\Q(\sqrt{-3})$$ $$3^{4} \cdot 7^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+15a-28$
3969.1-CMa1 3969.1-CMa $$\Q(\sqrt{-3})$$ $$3^{4} \cdot 7^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}-2$
3969.3-CMc1 3969.3-CMc $$\Q(\sqrt{-3})$$ $$3^{4} \cdot 7^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+a{y}={x}^{3}+158a+19$
3969.3-CMb1 3969.3-CMb $$\Q(\sqrt{-3})$$ $$3^{4} \cdot 7^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}-15a-13$
3969.3-CMa1 3969.3-CMa $$\Q(\sqrt{-3})$$ $$3^{4} \cdot 7^{2}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+a{y}={x}^{3}-a-1$
4096.1-CMb1 4096.1-CMb $$\Q(\sqrt{-3})$$ $$2^{12}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}+2a-1$
4096.1-CMa1 4096.1-CMa $$\Q(\sqrt{-3})$$ $$2^{12}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-2a+1$
4489.1-CMa1 4489.1-CMa $$\Q(\sqrt{-3})$$ $$67^{2}$$ $0 \le r \le 2$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}+2040a-987$
4489.3-CMa1 4489.3-CMa $$\Q(\sqrt{-3})$$ $$67^{2}$$ $0 \le r \le 2$ $\mathsf{trivial}$ $-3$ ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-2041a+1054$
5625.1-CMb1 5625.1-CMb $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 5^{4}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+{y}={x}^{3}+156$
5625.1-CMa1 5625.1-CMa $$\Q(\sqrt{-3})$$ $$3^{2} \cdot 5^{4}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2+{y}={x}^{3}+1$
5776.1-CMc1 5776.1-CMc $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 19^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}-349a+190$
5776.1-CMb1 5776.1-CMb $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 19^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}-6a-12$
5776.1-CMa1 5776.1-CMa $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 19^{2}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}+a-1$
5776.3-CMc1 5776.3-CMc $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 19^{2}$$ $0$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}+349a-159$
5776.3-CMb1 5776.3-CMb $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 19^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}+6a-18$
5776.3-CMa1 5776.3-CMa $$\Q(\sqrt{-3})$$ $$2^{4} \cdot 19^{2}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-a$
6241.1-CMa1 6241.1-CMa $$\Q(\sqrt{-3})$$ $$79^{2}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-a$
6241.3-CMa1 6241.3-CMa $$\Q(\sqrt{-3})$$ $$79^{2}$$ $2$ $\mathsf{trivial}$ $-3$ ${y}^2+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}$
6561.1-CMf1 6561.1-CMf $$\Q(\sqrt{-3})$$ $$3^{8}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+\left(a+1\right){y}={x}^{3}-3a$
6561.1-CMe1 6561.1-CMe $$\Q(\sqrt{-3})$$ $$3^{8}$$ $0$ $\Z/3\Z$ $-3$ ${y}^2+a{y}={x}^{3}+2a-2$