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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
58989.a1 58989.a \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $1.527526160$ $[0, -1, 1, -197566, 40360518]$ \(y^2+y=x^3-x^2-197566x+40360518\) 742.2.0.?
58989.b1 58989.b \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -19804, 3098868]$ \(y^2+y=x^3-x^2-19804x+3098868\) 5.6.0.a.1, 70.12.0.a.1, 265.24.0.?, 742.2.0.?, 3710.48.1.?
58989.b2 58989.b \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -1254, -27178]$ \(y^2+y=x^3-x^2-1254x-27178\) 5.6.0.a.1, 70.12.0.a.2, 265.24.0.?, 742.2.0.?, 3710.48.1.?
58989.c1 58989.c \( 3 \cdot 7 \cdot 53^{2} \) $2$ $\mathsf{trivial}$ $0.424753134$ $[0, 1, 1, -406, 1234]$ \(y^2+y=x^3+x^2-406x+1234\) 42.2.0.a.1
58989.d1 58989.d \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -2099, -59514]$ \(y^2+xy=x^3-2099x-59514\) 84.2.0.?
58989.e1 58989.e \( 3 \cdot 7 \cdot 53^{2} \) $2$ $\mathsf{trivial}$ $0.961303240$ $[0, -1, 1, -2367, -33538]$ \(y^2+y=x^3-x^2-2367x-33538\) 3.4.0.a.1, 42.8.0.b.1, 159.8.0.?, 2226.16.0.?
58989.e2 58989.e \( 3 \cdot 7 \cdot 53^{2} \) $2$ $\mathsf{trivial}$ $0.961303240$ $[0, -1, 1, -777, 8597]$ \(y^2+y=x^3-x^2-777x+8597\) 3.4.0.a.1, 42.8.0.b.1, 159.8.0.?, 2226.16.0.?
58989.f1 58989.f \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $4.959960372$ $[0, -1, 1, -99251, 11941865]$ \(y^2+y=x^3-x^2-99251x+11941865\) 42.2.0.a.1
58989.g1 58989.g \( 3 \cdot 7 \cdot 53^{2} \) $2$ $\mathsf{trivial}$ $0.826052706$ $[0, -1, 1, -565, 5364]$ \(y^2+y=x^3-x^2-565x+5364\) 742.2.0.?
58989.h1 58989.h \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $3.815956690$ $[0, 1, 1, -1588021, 770034577]$ \(y^2+y=x^3+x^2-1588021x+770034577\) 742.2.0.?
58989.i1 58989.i \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -3745, 421948]$ \(y^2+y=x^3+x^2-3745x+421948\) 742.2.0.?
58989.j1 58989.j \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $1.747989778$ $[0, 1, 1, -35, 68]$ \(y^2+y=x^3+x^2-35x+68\) 42.2.0.a.1
58989.k1 58989.k \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $0.906767024$ $[0, 1, 1, 136705, -5684818]$ \(y^2+y=x^3+x^2+136705x-5684818\) 742.2.0.?
58989.l1 58989.l \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -6649839, -5112691201]$ \(y^2+y=x^3+x^2-6649839x-5112691201\) 3.8.0-3.a.1.1, 42.16.0-42.b.1.3
58989.l2 58989.l \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\Z/3\Z$ $1$ $[0, 1, 1, -2183529, 1240634774]$ \(y^2+y=x^3+x^2-2183529x+1240634774\) 3.8.0-3.a.1.2, 42.16.0-42.b.1.4
58989.m1 58989.m \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -5896149, -8836681266]$ \(y^2+xy=x^3+x^2-5896149x-8836681266\) 84.2.0.?
58989.n1 58989.n \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\Z/2\Z$ $49.59630879$ $[1, 1, 0, -2202314, -1258878483]$ \(y^2+xy=x^3+x^2-2202314x-1258878483\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$
58989.n2 58989.n \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $24.79815439$ $[1, 1, 0, -137699, -19696560]$ \(y^2+xy=x^3+x^2-137699x-19696560\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$
58989.n3 58989.n \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\Z/2\Z$ $6.199538599$ $[1, 1, 0, -109609, 13837282]$ \(y^2+xy=x^3+x^2-109609x+13837282\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$
58989.n4 58989.n \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\Z/2\Z$ $49.59630879$ $[1, 1, 0, -95564, -31924137]$ \(y^2+xy=x^3+x^2-95564x-31924137\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$
58989.n5 58989.n \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $12.39907719$ $[1, 1, 0, -11294, -103785]$ \(y^2+xy=x^3+x^2-11294x-103785\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$
58989.n6 58989.n \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\Z/2\Z$ $6.199538599$ $[1, 1, 0, 2751, -11088]$ \(y^2+xy=x^3+x^2+2751x-11088\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$
58989.o1 58989.o \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -95565, -10972307]$ \(y^2+xy+y=x^3-95565x-10972307\) 2.3.0.a.1, 28.6.0.a.1, 636.6.0.?, 4452.12.0.?
58989.o2 58989.o \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 2750, -629569]$ \(y^2+xy+y=x^3+2750x-629569\) 2.3.0.a.1, 28.6.0.b.1, 318.6.0.?, 4452.12.0.?
58989.p1 58989.p \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -1141390, 204290949]$ \(y^2+y=x^3-x^2-1141390x+204290949\) 42.2.0.a.1
58989.q1 58989.q \( 3 \cdot 7 \cdot 53^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 44008, 1132625]$ \(y^2+y=x^3+x^2+44008x+1132625\) 742.2.0.?
58989.r1 58989.r \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $5.991936654$ $[0, 1, 1, -55630372, 460348867267]$ \(y^2+y=x^3+x^2-55630372x+460348867267\) 5.6.0.a.1, 70.12.0.a.1, 265.24.0.?, 742.2.0.?, 3710.48.1.?
58989.r2 58989.r \( 3 \cdot 7 \cdot 53^{2} \) $1$ $\mathsf{trivial}$ $29.95968327$ $[0, 1, 1, -3523422, -4109557975]$ \(y^2+y=x^3+x^2-3523422x-4109557975\) 5.6.0.a.1, 70.12.0.a.2, 265.24.0.?, 742.2.0.?, 3710.48.1.?
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