## Results (1-50 of 133616 matches)

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Label Class Conductor Rank Torsion CM Weierstrass equation
15.a2 15.a $$3 \cdot 5$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3+x^2-135x-660$$
15.a4 15.a $$3 \cdot 5$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3+x^2-80x+242$$
15.a7 15.a $$3 \cdot 5$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3+x^2$$
17.a2 17.a $$17$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3-x^2-6x-4$$
17.a3 17.a $$17$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3-x^2-x-14$$
17.a4 17.a $$17$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3-x^2-x$$
21.a2 21.a $$3 \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-49x-136$$
21.a6 21.a $$3 \cdot 7$$ $0$ $\Z/4\Z$ $$y^2+xy=x^3+x$$
24.a2 24.a $$2^{3} \cdot 3$$ $0$ $\Z/4\Z$ $$y^2=x^3-x^2-64x+220$$
24.a3 24.a $$2^{3} \cdot 3$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2=x^3-x^2-24x-36$$
24.a5 24.a $$2^{3} \cdot 3$$ $0$ $\Z/4\Z$ $$y^2=x^3-x^2+x$$
30.a3 30.a $$2 \cdot 3 \cdot 5$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3-334x-2368$$
32.a2 32.a $$2^{5}$$ $0$ $\Z/4\Z$ $-16$ $$y^2=x^3-11x+14$$
32.a3 32.a $$2^{5}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-4$ $$y^2=x^3-x$$
32.a4 32.a $$2^{5}$$ $0$ $\Z/4\Z$ $-4$ $$y^2=x^3+4x$$
33.a1 33.a $$3 \cdot 11$$ $0$ $\Z/4\Z$ $$y^2+xy=x^3+x^2-146x+621$$
33.a2 33.a $$3 \cdot 11$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3+x^2-11x$$
39.a2 39.a $$3 \cdot 13$$ $0$ $\Z/4\Z$ $$y^2+xy=x^3+x^2-19x+22$$
39.a3 39.a $$3 \cdot 13$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3+x^2-4x-5$$
40.a2 40.a $$2^{3} \cdot 5$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2=x^3-7x-6$$
40.a3 40.a $$2^{3} \cdot 5$$ $0$ $\Z/4\Z$ $$y^2=x^3-2x+1$$
40.a4 40.a $$2^{3} \cdot 5$$ $0$ $\Z/4\Z$ $$y^2=x^3+13x-34$$
42.a1 42.a $$2 \cdot 3 \cdot 7$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3+x^2-1344x+18405$$
42.a3 42.a $$2 \cdot 3 \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3+x^2-104x+101$$
45.a2 45.a $$3^{2} \cdot 5$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-1215x+16600$$
45.a5 45.a $$3^{2} \cdot 5$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-90x+175$$
45.a6 45.a $$3^{2} \cdot 5$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-45x-104$$
48.a1 48.a $$2^{4} \cdot 3$$ $0$ $\Z/4\Z$ $$y^2=x^3+x^2-384x+2772$$
48.a4 48.a $$2^{4} \cdot 3$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2=x^3+x^2-4x-4$$
55.a1 55.a $$5 \cdot 11$$ $0$ $\Z/4\Z$ $$y^2+xy=x^3-x^2-59x+190$$
55.a3 55.a $$5 \cdot 11$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-4x+3$$
56.a3 56.a $$2^{3} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2=x^3-19x+30$$
56.a4 56.a $$2^{3} \cdot 7$$ $0$ $\Z/4\Z$ $$y^2=x^3+x+2$$
57.c1 57.c $$3 \cdot 19$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3-102x+385$$
57.c2 57.c $$3 \cdot 19$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3-7x+5$$
62.a3 62.a $$2 \cdot 31$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3-x^2-21x+41$$
62.a4 62.a $$2 \cdot 31$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3-x^2-x+1$$
63.a1 63.a $$3^{2} \cdot 7$$ $0$ $\Z/4\Z$ $$y^2+xy=x^3-x^2-7056x+229905$$
63.a2 63.a $$3^{2} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-441x+3672$$
63.a5 63.a $$3^{2} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-36x+27$$
64.a2 64.a $$2^{6}$$ $0$ $\Z/4\Z$ $-16$ $$y^2=x^3-44x+112$$
64.a3 64.a $$2^{6}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $-4$ $$y^2=x^3-4x$$
66.b2 66.b $$2 \cdot 3 \cdot 11$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3+x^2-22x-49$$
66.b4 66.b $$2 \cdot 3 \cdot 11$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3+x^2-2x-1$$
70.a3 70.a $$2 \cdot 5 \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3-x^2-18x-19$$
70.a4 70.a $$2 \cdot 5 \cdot 7$$ $0$ $\Z/4\Z$ $$y^2+xy+y=x^3-x^2+2x-3$$
72.a3 72.a $$2^{3} \cdot 3^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2=x^3-219x+1190$$
72.a4 72.a $$2^{3} \cdot 3^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2=x^3-39x-70$$
72.a5 72.a $$2^{3} \cdot 3^{2}$$ $0$ $\Z/4\Z$ $$y^2=x^3+6x-7$$
75.b2 75.b $$3 \cdot 5^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy+y=x^3-3376x-75727$$
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