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Results (48 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
49725.a1 49725.a \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $2.173688433$ $[0, 0, 1, -52875, 4602656]$ \(y^2+y=x^3-52875x+4602656\) 26.2.0.a.1
49725.b1 49725.b \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.111483023$ $[0, 0, 1, 465, 2956]$ \(y^2+y=x^3+465x+2956\) 6630.2.0.?
49725.c1 49725.c \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $5.368639644$ $[0, 0, 1, -46875, -2189844]$ \(y^2+y=x^3-46875x-2189844\) 26.2.0.a.1
49725.d1 49725.d \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $0.449277389$ $[1, -1, 1, -5480, 113272]$ \(y^2+xy+y=x^3-x^2-5480x+113272\) 2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?
49725.d2 49725.d \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $0.898554778$ $[1, -1, 1, 895, 11272]$ \(y^2+xy+y=x^3-x^2+895x+11272\) 2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?
49725.e1 49725.e \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.009395184$ $[1, -1, 1, -3511355, 2533439022]$ \(y^2+xy+y=x^3-x^2-3511355x+2533439022\) 2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$
49725.e2 49725.e \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.018790369$ $[1, -1, 1, -220730, 39145272]$ \(y^2+xy+y=x^3-x^2-220730x+39145272\) 2.6.0.a.1, 52.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 780.24.0.?, $\ldots$
49725.e3 49725.e \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $4.037580738$ $[1, -1, 1, -30605, -1161228]$ \(y^2+xy+y=x^3-x^2-30605x-1161228\) 2.3.0.a.1, 4.6.0.c.1, 34.6.0.a.1, 60.12.0-4.c.1.2, 68.12.0.g.1, $\ldots$
49725.e4 49725.e \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $4.037580738$ $[1, -1, 1, 27895, 122186022]$ \(y^2+xy+y=x^3-x^2+27895x+122186022\) 2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$
49725.f1 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.750552988$ $[1, -1, 1, -4539155, 3722855222]$ \(y^2+xy+y=x^3-x^2-4539155x+3722855222\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 26.6.0.b.1, $\ldots$
49725.f2 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.375276494$ $[1, -1, 1, -312530, 45691472]$ \(y^2+xy+y=x^3-x^2-312530x+45691472\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 52.24.0.c.1, 60.24.0-4.b.1.1, $\ldots$
49725.f3 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.750552988$ $[1, -1, 1, -122405, -15909028]$ \(y^2+xy+y=x^3-x^2-122405x-15909028\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 60.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$
49725.f4 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $5.501105976$ $[1, -1, 1, -121280, -16226278]$ \(y^2+xy+y=x^3-x^2-121280x-16226278\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 34.6.0.a.1, $\ldots$
49725.f5 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $5.501105976$ $[1, -1, 1, 49720, -57219028]$ \(y^2+xy+y=x^3-x^2+49720x-57219028\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 60.12.0-4.c.1.2, 68.12.0.h.1, $\ldots$
49725.f6 49725.f \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.750552988$ $[1, -1, 1, 872095, 308678222]$ \(y^2+xy+y=x^3-x^2+872095x+308678222\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 52.12.0.h.1, 60.12.0-4.c.1.1, $\ldots$
49725.g1 49725.g \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -2636480, -1647065978]$ \(y^2+xy+y=x^3-x^2-2636480x-1647065978\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
49725.g2 49725.g \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -164855, -25679978]$ \(y^2+xy+y=x^3-x^2-164855x-25679978\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
49725.h1 49725.h \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.413841610$ $[1, -1, 1, -4505, 106872]$ \(y^2+xy+y=x^3-x^2-4505x+106872\) 2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.2, 1768.12.0.?, 2210.6.0.?, $\ldots$
49725.h2 49725.h \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.206920805$ $[1, -1, 1, 5620, 511872]$ \(y^2+xy+y=x^3-x^2+5620x+511872\) 2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 1768.12.0.?, 4420.12.0.?, $\ldots$
49725.i1 49725.i \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -22055, -963678]$ \(y^2+xy+y=x^3-x^2-22055x-963678\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
49725.i2 49725.i \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -7430, 235572]$ \(y^2+xy+y=x^3-x^2-7430x+235572\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
49725.j1 49725.j \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -3237230, 2242668772]$ \(y^2+xy+y=x^3-x^2-3237230x+2242668772\) 2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$
49725.j2 49725.j \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -3236105, 2244304522]$ \(y^2+xy+y=x^3-x^2-3236105x+2244304522\) 2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4420.12.0.?, 5304.12.0.?, $\ldots$
49725.k1 49725.k \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -235355, 44001272]$ \(y^2+xy+y=x^3-x^2-235355x+44001272\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 156.12.0.?, 408.12.0.?, $\ldots$
49725.k2 49725.k \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -15980, 565022]$ \(y^2+xy+y=x^3-x^2-15980x+565022\) 2.6.0.a.1, 20.12.0-2.a.1.1, 156.12.0.?, 204.12.0.?, 780.24.0.?, $\ldots$
49725.k3 49725.k \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -5855, -163978]$ \(y^2+xy+y=x^3-x^2-5855x-163978\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 156.12.0.?, 408.12.0.?, $\ldots$
49725.k4 49725.k \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 41395, 3663272]$ \(y^2+xy+y=x^3-x^2+41395x+3663272\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 102.6.0.?, 204.12.0.?, $\ldots$
49725.l1 49725.l \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $1.223058612$ $[0, 0, 1, -180450, 47736156]$ \(y^2+y=x^3-180450x+47736156\) 6630.2.0.?
49725.m1 49725.m \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1624050, -1288876219]$ \(y^2+y=x^3-1624050x-1288876219\) 6630.2.0.?
49725.n1 49725.n \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.439744483$ $[0, 0, 1, -1200, 18531]$ \(y^2+y=x^3-1200x+18531\) 6630.2.0.?
49725.o1 49725.o \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -146550, -34844094]$ \(y^2+y=x^3-146550x-34844094\) 6630.2.0.?
49725.p1 49725.p \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $0.561025594$ $[0, 0, 1, -300, -194]$ \(y^2+y=x^3-300x-194\) 26.2.0.a.1
49725.q1 49725.q \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $2$ $\mathsf{trivial}$ $2.784443638$ $[0, 0, 1, -9000, -324844]$ \(y^2+y=x^3-9000x-324844\) 26.2.0.a.1
49725.r1 49725.r \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $2.073080132$ $[0, 0, 1, -360, -2599]$ \(y^2+y=x^3-360x-2599\) 26.2.0.a.1
49725.s1 49725.s \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -7500, -24219]$ \(y^2+y=x^3-7500x-24219\) 26.2.0.a.1
49725.t1 49725.t \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -49317, -3009034]$ \(y^2+xy=x^3-x^2-49317x-3009034\) 2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?
49725.t2 49725.t \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 8058, -312409]$ \(y^2+xy=x^3-x^2+8058x-312409\) 2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.?
49725.u1 49725.u \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $40.67110864$ $[1, -1, 0, -5874875667, -173308871903634]$ \(y^2+xy=x^3-x^2-5874875667x-173308871903634\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$
49725.u2 49725.u \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $10.16777716$ $[1, -1, 0, -1933156917, 30595571065116]$ \(y^2+xy=x^3-x^2-1933156917x+30595571065116\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$
49725.u3 49725.u \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $20.33555432$ $[1, -1, 0, -388391292, -2377451200509]$ \(y^2+xy=x^3-x^2-388391292x-2377451200509\) 2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$
49725.u4 49725.u \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $40.67110864$ $[1, -1, 0, 51061833, -221933622384]$ \(y^2+xy=x^3-x^2+51061833x-221933622384\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 78.6.0.?, $\ldots$
49725.v1 49725.v \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -73692, 2595591]$ \(y^2+xy=x^3-x^2-73692x+2595591\) 2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.?
49725.v2 49725.v \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -59067, 5535216]$ \(y^2+xy=x^3-x^2-59067x+5535216\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.?
49725.w1 49725.w \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -13392, -593109]$ \(y^2+xy=x^3-x^2-13392x-593109\) 2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 120.12.0.?, $\ldots$
49725.w2 49725.w \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -12267, -697734]$ \(y^2+xy=x^3-x^2-12267x-697734\) 2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 120.12.0.?, 1768.24.0.?, $\ldots$
49725.x1 49725.x \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1875, -17519]$ \(y^2+y=x^3-1875x-17519\) 26.2.0.a.1
49725.y1 49725.y \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -2115, 36821]$ \(y^2+y=x^3-2115x+36821\) 26.2.0.a.1
49725.z1 49725.z \( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $8.458543472$ $[0, 0, 1, 11625, 369531]$ \(y^2+y=x^3+11625x+369531\) 6630.2.0.?
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