## Results (31 matches)

displayed columns for results
Label Class Conductor Rank Torsion CM Weierstrass equation
20691.a1 20691.a $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3-4781073x-4023806328$$
20691.a2 20691.a $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3+21417x-1377918$$
20691.b1 20691.b $$3^{2} \cdot 11^{2} \cdot 19$$ $2$ $\mathsf{trivial}$ $$y^2+y=x^3-1485x+22052$$
20691.c1 20691.c $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-19965x+1087094$$
20691.d1 20691.d $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3+11979x+1087094$$
20691.e1 20691.e $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3-2541x+54238$$
20691.f1 20691.f $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\Z/2\Z$ $$y^2+xy+y=x^3-x^2-2135x+38206$$
20691.f2 20691.f $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\Z/2\Z$ $$y^2+xy+y=x^3-x^2-650x+89290$$
20691.g1 20691.g $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy+y=x^3-x^2-28700x+1864294$$
20691.g2 20691.g $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy+y=x^3-x^2-8735x+4395856$$
20691.h1 20691.h $$3^{2} \cdot 11^{2} \cdot 19$$ $2$ $\mathsf{trivial}$ $$y^2+y=x^3-1452x-48249$$
20691.i1 20691.i $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-837804x-295162893$$
20691.i2 20691.i $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-10164x-419598$$
20691.i3 20691.i $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3+726x-333$$
20691.j1 20691.j $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-70356x+7276365$$
20691.k1 20691.k $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3-8513076x-9684842148$$
20691.l1 20691.l $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-32738970x-72101721123$$
20691.l2 20691.l $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-395670x-103271292$$
20691.m1 20691.m $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-29766x+2311614$$
20691.m2 20691.m $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3+209814x-13368897$$
20691.n1 20691.n $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-237x-1336$$
20691.n2 20691.n $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-72x-3283$$
20691.o1 20691.o $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-258297x-50077648$$
20691.o2 20691.o $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-78612x-118609507$$
20691.p1 20691.p $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-110556x+14176377$$
20691.p2 20691.p $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-7101x+209952$$
20691.p3 20691.p $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-1656x-22005$$
20691.p4 20691.p $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2+9234x+1023435$$
20691.q1 20691.q $$3^{2} \cdot 11^{2} \cdot 19$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3-165x-817$$
20691.r1 20691.r $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-179685x-29351545$$
20691.s1 20691.s $$3^{2} \cdot 11^{2} \cdot 19$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3+99x-817$$
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