## Results (30 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
15488.20-a1 15488.20-a $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(4a-53\right){x}+50a+95$
15488.20-a2 15488.20-a $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-a+7\right){x}-3a-1$
15488.20-a3 15488.20-a $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-6a+17\right){x}+12a+9$
15488.20-a4 15488.20-a $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-96a+247\right){x}+774a+643$
15488.20-b1 15488.20-b $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-26\right){x}+60a-212$
15488.20-b2 15488.20-b $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-5a+62\right){x}+3a-62$
15488.20-b3 15488.20-b $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(47a-26\right){x}-43a-38$
15488.20-b4 15488.20-b $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(35a+662\right){x}+5075a-3358$
15488.20-b5 15488.20-b $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+116a{x}-130a-782$
15488.20-b6 15488.20-b $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+1876a{x}-9282a-47246$
15488.20-c1 15488.20-c $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(17a+209\right){x}+128a-3204$
15488.20-c2 15488.20-c $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-148a-29\right){x}-567a-2768$
15488.20-c3 15488.20-c $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-92a+619\right){x}-3344a+181$
15488.20-c4 15488.20-c $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-437a+119\right){x}+3199a-3493$
15488.20-c5 15488.20-c $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-1372a+9579\right){x}-237584a+17845$
15488.20-c6 15488.20-c $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6757a+1799\right){x}+217839a-268149$
15488.20-d1 15488.20-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-32a+7\right){x}-26a+65$
15488.20-d2 15488.20-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-5a+46\right){x}+27a+42$
15488.20-d3 15488.20-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(5a+416\right){x}-2371a+1428$
15488.20-d4 15488.20-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-292a-13\right){x}+2282a-1707$
15488.20-d5 15488.20-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-23a+148\right){x}-429a+66$
15488.20-d6 15488.20-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-104a+31\right){x}+364a-481$
15488.20-e1 15488.20-e $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(4a-8\right){x}$
15488.20-e2 15488.20-e $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-5a-2\right){x}+3a-2$
15488.20-e3 15488.20-e $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(5a-19\right){x}-23a+35$
15488.20-e4 15488.20-e $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-65a-22\right){x}+311a-134$
15488.20-f1 15488.20-f $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/4\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-22a-22\right){x}+67a+11$
15488.20-f2 15488.20-f $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(10a-15\right){x}-4a-19$
15488.20-f3 15488.20-f $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-40a+55\right){x}+6a-33$
15488.20-f4 15488.20-f $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 11^{2}$$ $1$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a+28\right){x}-29a+91$