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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
28350.a1 28350.a \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.098228292$ $[1, -1, 0, -1842, 79316]$ \(y^2+xy=x^3-x^2-1842x+79316\) 3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.2, 60.16.0-12.a.1.1, $\ldots$ $[(20, 214)]$
28350.a2 28350.a \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.294684878$ $[1, -1, 0, 16158, -1846684]$ \(y^2+xy=x^3-x^2+16158x-1846684\) 3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.1, 60.16.0-12.a.1.3, $\ldots$ $[(920, 27666)]$
28350.b1 28350.b \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.994565694$ $[1, -1, 0, -249117, 58705541]$ \(y^2+xy=x^3-x^2-249117x+58705541\) 70.2.0.a.1 $[(794, 18603)]$
28350.c1 28350.c \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -182292, 30037616]$ \(y^2+xy=x^3-x^2-182292x+30037616\) 8.2.0.a.1 $[ ]$
28350.d1 28350.d \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.776368652$ $[1, -1, 0, -8142, -323884]$ \(y^2+xy=x^3-x^2-8142x-323884\) 8.2.0.a.1 $[(139, 1033)]$
28350.e1 28350.e \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.960576938$ $[1, -1, 0, -162, 916]$ \(y^2+xy=x^3-x^2-162x+916\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.2, 42.8.0.a.1, 210.16.0.? $[(-12, 38)]$
28350.e2 28350.e \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.881730814$ $[1, -1, 0, 1038, -2044]$ \(y^2+xy=x^3-x^2+1038x-2044\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.1, 42.8.0.a.1, 210.16.0.? $[(8, 78)]$
28350.f1 28350.f \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $4.395617145$ $[1, -1, 0, -852, -9604]$ \(y^2+xy=x^3-x^2-852x-9604\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.1, 42.8.0.a.1, 210.16.0.? $[(98, 868)]$
28350.f2 28350.f \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.465205715$ $[1, -1, 0, 48, -64]$ \(y^2+xy=x^3-x^2+48x-64\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.2, 42.8.0.a.1, 210.16.0.? $[(8, 24)]$
28350.g1 28350.g \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -90042, 180360116]$ \(y^2+xy=x^3-x^2-90042x+180360116\) 3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.? $[ ]$
28350.g2 28350.g \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 809958, -4855139884]$ \(y^2+xy=x^3-x^2+809958x-4855139884\) 3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.? $[ ]$
28350.h1 28350.h \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -14683317, -21686435659]$ \(y^2+xy=x^3-x^2-14683317x-21686435659\) 3.4.0.a.1, 15.8.0-3.a.1.1, 42.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? $[ ]$
28350.h2 28350.h \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 292683, -145187659]$ \(y^2+xy=x^3-x^2+292683x-145187659\) 3.4.0.a.1, 15.8.0-3.a.1.2, 42.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? $[ ]$
28350.i1 28350.i \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $2$ $\mathsf{trivial}$ $1.067643577$ $[1, -1, 0, -2367, 38541]$ \(y^2+xy=x^3-x^2-2367x+38541\) 28.2.0.a.1 $[(94, 753), (19, 3)]$
28350.j1 28350.j \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -5341992, -4712123584]$ \(y^2+xy=x^3-x^2-5341992x-4712123584\) 28.2.0.a.1 $[ ]$
28350.k1 28350.k \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.697486857$ $[1, -1, 0, -567, 8341]$ \(y^2+xy=x^3-x^2-567x+8341\) 3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 280.2.0.?, 840.16.0.? $[(9, 58)]$
28350.k2 28350.k \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $5.092460571$ $[1, -1, 0, 4683, -136909]$ \(y^2+xy=x^3-x^2+4683x-136909\) 3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 280.2.0.?, 840.16.0.? $[(779, 21423)]$
28350.l1 28350.l \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $5.524996394$ $[1, -1, 0, -776067, 263520341]$ \(y^2+xy=x^3-x^2-776067x+263520341\) 3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 280.2.0.?, 840.16.0.? $[(1409, 43633)]$
28350.l2 28350.l \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $16.57498918$ $[1, -1, 0, 807933, 1140336341]$ \(y^2+xy=x^3-x^2+807933x+1140336341\) 3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 280.2.0.?, 840.16.0.? $[(40037249/191, 399351119183/191)]$
28350.m1 28350.m \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.980026736$ $[1, -1, 0, -792, 15616]$ \(y^2+xy=x^3-x^2-792x+15616\) 3.4.0.a.1, 15.8.0-3.a.1.2, 42.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? $[(24, 88)]$
28350.m2 28350.m \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.940080208$ $[1, -1, 0, 6708, -296884]$ \(y^2+xy=x^3-x^2+6708x-296884\) 3.4.0.a.1, 15.8.0-3.a.1.1, 42.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? $[(74, 738)]$
28350.n1 28350.n \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $4.136589480$ $[1, -1, 0, -7722, 1341556]$ \(y^2+xy=x^3-x^2-7722x+1341556\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.2, 42.8.0.a.1, 210.16.0.? $[(11268, 1190398)]$
28350.n2 28350.n \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $12.40976844$ $[1, -1, 0, 69078, -34974604]$ \(y^2+xy=x^3-x^2+69078x-34974604\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.1, 42.8.0.a.1, 210.16.0.? $[(1363268/11, 1584601658/11)]$
28350.o1 28350.o \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -48867, 4219541]$ \(y^2+xy=x^3-x^2-48867x+4219541\) 3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 24.8.0.a.1, 120.16.0.? $[ ]$
28350.o2 28350.o \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 176133, 21094541]$ \(y^2+xy=x^3-x^2+176133x+21094541\) 3.4.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 24.8.0.a.1, 120.16.0.? $[ ]$
28350.p1 28350.p \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $19.92298188$ $[1, -1, 0, -262617, -51737959]$ \(y^2+xy=x^3-x^2-262617x-51737959\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.1, 42.8.0.a.1, 210.16.0.? $[(558676280/509, 12647072536151/509)]$
28350.p2 28350.p \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $6.640993962$ $[1, -1, 0, -117, -200459]$ \(y^2+xy=x^3-x^2-117x-200459\) 3.4.0.a.1, 14.2.0.a.1, 15.8.0-3.a.1.2, 42.8.0.a.1, 210.16.0.? $[(2130, 97219)]$
28350.q1 28350.q \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -267, 2141]$ \(y^2+xy=x^3-x^2-267x+2141\) 3.4.0.a.1, 15.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 840.16.0.? $[ ]$
28350.q2 28350.q \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 1983, -18109]$ \(y^2+xy=x^3-x^2+1983x-18109\) 3.4.0.a.1, 15.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 840.16.0.? $[ ]$
28350.r1 28350.r \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $6.948541074$ $[1, -1, 0, -60117, -3947959]$ \(y^2+xy=x^3-x^2-60117x-3947959\) 3.4.0.a.1, 15.8.0-3.a.1.1, 28.2.0.a.1, 84.8.0.?, 420.16.0.? $[(1340, 47499)]$
28350.r2 28350.r \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $2.316180358$ $[1, -1, 0, -22617, 1314541]$ \(y^2+xy=x^3-x^2-22617x+1314541\) 3.4.0.a.1, 15.8.0-3.a.1.2, 28.2.0.a.1, 84.8.0.?, 420.16.0.? $[(90, -1)]$
28350.s1 28350.s \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $2$ $\mathsf{trivial}$ $6.044145075$ $[1, -1, 0, -8142, -280684]$ \(y^2+xy=x^3-x^2-8142x-280684\) 3.8.0-3.a.1.1, 28.2.0.a.1, 84.16.0.? $[(-52, 34), (-205/2, 233/2)]$
28350.s2 28350.s \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $2$ $\Z/3\Z$ $0.671571675$ $[1, -1, 0, -267, 1241]$ \(y^2+xy=x^3-x^2-267x+1241\) 3.8.0-3.a.1.2, 28.2.0.a.1, 84.16.0.? $[(4, 13), (5, 1)]$
28350.t1 28350.t \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.804675250$ $[1, -1, 0, -1737492, -4520801584]$ \(y^2+xy=x^3-x^2-1737492x-4520801584\) 3.8.0-3.a.1.1, 14.2.0.a.1, 42.16.0-42.a.1.3 $[(18952/3, 889076/3)]$
28350.t2 28350.t \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\Z/3\Z$ $1.268225083$ $[1, -1, 0, 191883, 161791541]$ \(y^2+xy=x^3-x^2+191883x+161791541\) 3.8.0-3.a.1.2, 14.2.0.a.1, 42.16.0-42.a.1.4 $[(-422, 2563)]$
28350.u1 28350.u \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $9.968128828$ $[1, -1, 0, -17592, -904384]$ \(y^2+xy=x^3-x^2-17592x-904384\) 3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6 $[(53695/6, 12227081/6)]$
28350.u2 28350.u \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\Z/3\Z$ $3.322709609$ $[1, -1, 0, 783, -6459]$ \(y^2+xy=x^3-x^2+783x-6459\) 3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8 $[(55/2, 603/2)]$
28350.v1 28350.v \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\Z/3\Z$ $1.012971749$ $[1, -1, 0, -1167, 15641]$ \(y^2+xy=x^3-x^2-1167x+15641\) 3.8.0-3.a.1.2, 14.2.0.a.1, 42.16.0-42.a.1.4 $[(20, -9)]$
28350.v2 28350.v \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.337657249$ $[1, -1, 0, -42, 43316]$ \(y^2+xy=x^3-x^2-42x+43316\) 3.8.0-3.a.1.1, 14.2.0.a.1, 42.16.0-42.a.1.3 $[(28, 238)]$
28350.w1 28350.w \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 1458, -19884]$ \(y^2+xy=x^3-x^2+1458x-19884\) 280.2.0.? $[ ]$
28350.x1 28350.x \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $1.883118233$ $[1, -1, 0, 1983, 110141]$ \(y^2+xy=x^3-x^2+1983x+110141\) 8.2.0.a.1 $[(29, 423)]$
28350.y1 28350.y \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -50667, -4377259]$ \(y^2+xy=x^3-x^2-50667x-4377259\) 4.2.0.a.1, 840.4.0.? $[ ]$
28350.z1 28350.z \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.192261799$ $[1, -1, 0, -23742, 1402516]$ \(y^2+xy=x^3-x^2-23742x+1402516\) 28.2.0.a.1 $[(204, 2138)]$
28350.ba1 28350.ba \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $0.828852644$ $[1, -1, 0, -852, -7984]$ \(y^2+xy=x^3-x^2-852x-7984\) 28.2.0.a.1 $[(40, 124)]$
28350.bb1 28350.bb \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -111417, 14549741]$ \(y^2+xy=x^3-x^2-111417x+14549741\) 280.2.0.? $[ ]$
28350.bc1 28350.bc \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $3.807868394$ $[1, -1, 0, -36492, -2945584]$ \(y^2+xy=x^3-x^2-36492x-2945584\) 3.8.0-3.a.1.1, 14.2.0.a.1, 42.16.0-42.a.1.3 $[(248, 1668)]$
28350.bc2 28350.bc \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\Z/3\Z$ $1.269289464$ $[1, -1, 0, 2883, 7541]$ \(y^2+xy=x^3-x^2+2883x+7541\) 3.8.0-3.a.1.2, 14.2.0.a.1, 42.16.0-42.a.1.4 $[(-2, 43)]$
28350.bd1 28350.bd \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\Z/3\Z$ $1.944623644$ $[1, -1, 0, -2367, 46041]$ \(y^2+xy=x^3-x^2-2367x+46041\) 3.8.0-3.a.1.2, 14.2.0.a.1, 42.16.0-42.a.1.4 $[(40, 99)]$
28350.bd2 28350.bd \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $1$ $\mathsf{trivial}$ $5.833870933$ $[1, -1, 0, 10758, 172916]$ \(y^2+xy=x^3-x^2+10758x+172916\) 3.8.0-3.a.1.1, 14.2.0.a.1, 42.16.0-42.a.1.3 $[(-140/3, 1298/3)]$
28350.be1 28350.be \( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -22617, 1514541]$ \(y^2+xy=x^3-x^2-22617x+1514541\) 8.2.0.a.1 $[ ]$
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