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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Results (1-50 of 69 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
29370.a1 29370.a \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -80413, -8981507]$ \(y^2+xy=x^3+x^2-80413x-8981507\) 117480.2.0.? $[ ]$
29370.b1 29370.b \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 52, -2448]$ \(y^2+xy=x^3+x^2+52x-2448\) 117480.2.0.? $[ ]$
29370.c1 29370.c \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $6.935558919$ $[1, 1, 0, -3153, -161643]$ \(y^2+xy=x^3+x^2-3153x-161643\) 117480.2.0.? $[(661/3, 1667/3)]$
29370.d1 29370.d \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $0.527639075$ $[1, 1, 0, -26693, 1044813]$ \(y^2+xy=x^3+x^2-26693x+1044813\) 2.3.0.a.1, 44.6.0.c.1, 178.6.0.?, 3916.12.0.? $[(218, 2267)]$
29370.d2 29370.d \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $1.055278151$ $[1, 1, 0, 79787, 7412317]$ \(y^2+xy=x^3+x^2+79787x+7412317\) 2.3.0.a.1, 22.6.0.a.1, 356.6.0.?, 3916.12.0.? $[(97, 3961)]$
29370.e1 29370.e \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -991833, -372276333]$ \(y^2+xy=x^3+x^2-991833x-372276333\) 2.3.0.a.1, 40.6.0.b.1, 356.6.0.?, 3560.12.0.? $[ ]$
29370.e2 29370.e \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -985783, -377132063]$ \(y^2+xy=x^3+x^2-985783x-377132063\) 2.3.0.a.1, 40.6.0.c.1, 178.6.0.?, 3560.12.0.? $[ ]$
29370.f1 29370.f \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -817, -10379]$ \(y^2+xy=x^3+x^2-817x-10379\) 117480.2.0.? $[ ]$
29370.g1 29370.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $30.42756199$ $[1, 1, 0, -2768256002, -56061720838476]$ \(y^2+xy=x^3+x^2-2768256002x-56061720838476\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 356.12.0.?, $\ldots$ $[(34269508975837/21197, 126165822754083288048/21197)]$
29370.g2 29370.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $7.606890499$ $[1, 1, 0, -173329282, -872687198924]$ \(y^2+xy=x^3+x^2-173329282x-872687198924\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 356.12.0.?, $\ldots$ $[(17292, 1131974)]$
29370.g3 29370.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $15.21378099$ $[1, 1, 0, -173016002, -876018430476]$ \(y^2+xy=x^3+x^2-173016002x-876018430476\) 2.6.0.a.1, 20.12.0-2.a.1.1, 44.12.0-2.a.1.1, 220.24.0.?, 356.12.0.?, $\ldots$ $[(111063508/41, 1142950412646/41)]$
29370.g4 29370.g \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $7.606890499$ $[1, 1, 0, -10793922, -13743186444]$ \(y^2+xy=x^3+x^2-10793922x-13743186444\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0-4.c.1.2, 110.6.0.?, $\ldots$ $[(655917/11, 389144784/11)]$
29370.h1 29370.h \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -237, 1341]$ \(y^2+xy=x^3+x^2-237x+1341\) 117480.2.0.? $[ ]$
29370.i1 29370.i \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $2$ $\Z/2\Z$ $0.472423155$ $[1, 0, 1, -114, 112]$ \(y^2+xy+y=x^3-114x+112\) 2.3.0.a.1, 178.6.0.?, 440.6.0.?, 39160.12.0.? $[(-4, 24), (11, 9)]$
29370.i2 29370.i \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $2$ $\Z/2\Z$ $1.889692622$ $[1, 0, 1, 436, 992]$ \(y^2+xy+y=x^3+436x+992\) 2.3.0.a.1, 356.6.0.?, 440.6.0.?, 39160.12.0.? $[(20, 123), (0, 31)]$
29370.j1 29370.j \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $2.332995262$ $[1, 0, 1, -5424, 1396222]$ \(y^2+xy+y=x^3-5424x+1396222\) 11748.2.0.? $[(-119, 659)]$
29370.k1 29370.k \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $10.86755772$ $[1, 0, 1, -9461139, -93823179314]$ \(y^2+xy+y=x^3-9461139x-93823179314\) 39160.2.0.? $[(369020/7, 174299586/7)]$
29370.l1 29370.l \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $0.465636565$ $[1, 0, 1, -25964, 1607906]$ \(y^2+xy+y=x^3-25964x+1607906\) 2.3.0.a.1, 40.6.0.b.1, 356.6.0.?, 3560.12.0.? $[(96, 1)]$
29370.l2 29370.l \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $0.232818282$ $[1, 0, 1, -1764, 20386]$ \(y^2+xy+y=x^3-1764x+20386\) 2.3.0.a.1, 40.6.0.c.1, 178.6.0.?, 3560.12.0.? $[(8, 78)]$
29370.m1 29370.m \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $8.935725297$ $[1, 0, 1, -149, -7384]$ \(y^2+xy+y=x^3-149x-7384\) 3.8.0-3.a.1.1, 117480.16.0.? $[(7135/6, 580127/6)]$
29370.m2 29370.m \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/3\Z$ $2.978575099$ $[1, 0, 1, 16, 272]$ \(y^2+xy+y=x^3+16x+272\) 3.8.0-3.a.1.2, 117480.16.0.? $[(198, 2689)]$
29370.n1 29370.n \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $3.825058933$ $[1, 0, 1, -2404, -98974]$ \(y^2+xy+y=x^3-2404x-98974\) 39160.2.0.? $[(70, 242)]$
29370.o1 29370.o \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $0.506877199$ $[1, 0, 1, 27, 118]$ \(y^2+xy+y=x^3+27x+118\) 39160.2.0.? $[(2, 12)]$
29370.p1 29370.p \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -30038, -300757144]$ \(y^2+xy+y=x^3-30038x-300757144\) 3.8.0-3.a.1.1, 11748.16.0.? $[ ]$
29370.p2 29370.p \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, 3337, 11138906]$ \(y^2+xy+y=x^3+3337x+11138906\) 3.8.0-3.a.1.2, 11748.16.0.? $[ ]$
29370.q1 29370.q \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $0.475028576$ $[1, 0, 1, -16563, 880918]$ \(y^2+xy+y=x^3-16563x+880918\) 117480.2.0.? $[(-118, 1152)]$
29370.r1 29370.r \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/4\Z$ $1$ $[1, 0, 1, -334208, 74337806]$ \(y^2+xy+y=x^3-334208x+74337806\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 3916.24.0.?, 39160.48.0.? $[ ]$
29370.r2 29370.r \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -35328, -641522]$ \(y^2+xy+y=x^3-35328x-641522\) 2.3.0.a.1, 4.12.0-4.c.1.2, 10.6.0.a.1, 20.24.0-20.g.1.1, 7832.24.0.?, $\ldots$ $[ ]$
29370.r3 29370.r \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -20928, 1155598]$ \(y^2+xy+y=x^3-20928x+1155598\) 2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.2, 3916.24.0.?, 19580.48.0.? $[ ]$
29370.r4 29370.r \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -448, 41486]$ \(y^2+xy+y=x^3-448x+41486\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ $[ ]$
29370.s1 29370.s \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 33666429, -141230159007]$ \(y^2+xy+y=x^3+x^2+33666429x-141230159007\) 117480.2.0.? $[ ]$
29370.t1 29370.t \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $6.714035071$ $[1, 1, 1, -5446, -160021]$ \(y^2+xy+y=x^3+x^2-5446x-160021\) 117480.2.0.? $[(919/3, 14845/3)]$
29370.u1 29370.u \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -1916, -33091]$ \(y^2+xy+y=x^3+x^2-1916x-33091\) 39160.2.0.? $[ ]$
29370.v1 29370.v \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $2$ $\Z/2\Z$ $0.887669177$ $[1, 1, 1, -46950, 3896067]$ \(y^2+xy+y=x^3+x^2-46950x+3896067\) 2.3.0.a.1, 88.6.0.?, 356.6.0.?, 7832.12.0.? $[(147, 371), (181, 1079)]$
29370.v2 29370.v \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $2$ $\Z/2\Z$ $0.221917294$ $[1, 1, 1, -2950, 59267]$ \(y^2+xy+y=x^3+x^2-2950x+59267\) 2.3.0.a.1, 88.6.0.?, 178.6.0.?, 7832.12.0.? $[(47, 141), (-19, 339)]$
29370.w1 29370.w \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -7860477015, -316811948600595]$ \(y^2+xy+y=x^3+x^2-7860477015x-316811948600595\) 117480.2.0.? $[ ]$
29370.x1 29370.x \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $3.418912609$ $[1, 1, 1, -515, -4795]$ \(y^2+xy+y=x^3+x^2-515x-4795\) 11748.2.0.? $[(83, 688)]$
29370.y1 29370.y \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $0.228045063$ $[1, 1, 1, 0, 417]$ \(y^2+xy+y=x^3+x^2+417\) 11748.2.0.? $[(-3, 21)]$
29370.z1 29370.z \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $0.290223816$ $[1, 1, 1, -10285, 397187]$ \(y^2+xy+y=x^3+x^2-10285x+397187\) 117480.2.0.? $[(57, -14)]$
29370.ba1 29370.ba \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $1.432783046$ $[1, 1, 1, -2525, -16585]$ \(y^2+xy+y=x^3+x^2-2525x-16585\) 2.3.0.a.1, 220.6.0.?, 356.6.0.?, 19580.12.0.? $[(-25, 190)]$
29370.ba2 29370.ba \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $0.716391523$ $[1, 1, 1, -1425, 19935]$ \(y^2+xy+y=x^3+x^2-1425x+19935\) 2.3.0.a.1, 178.6.0.?, 220.6.0.?, 19580.12.0.? $[(25, 14)]$
29370.bb1 29370.bb \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $15.10188145$ $[1, 1, 1, -10826956800, -433622928076383]$ \(y^2+xy+y=x^3+x^2-10826956800x-433622928076383\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.2, 88.24.0.?, $\ldots$ $[(8028969/7, 16029719187/7)]$
29370.bb2 29370.bb \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $7.550940725$ $[1, 1, 1, -676684800, -6775569714783]$ \(y^2+xy+y=x^3+x^2-676684800x-6775569714783\) 2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.b.1.2, 356.24.0.?, 3916.48.0.? $[(47481, 8231009)]$
29370.bb3 29370.bb \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $3.775470362$ $[1, 1, 1, -676628480, -6776753876575]$ \(y^2+xy+y=x^3+x^2-676628480x-6776753876575\) 2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 44.24.0-44.g.1.1, 712.24.0.?, $\ldots$ $[(43943, 6931153)]$
29370.bb4 29370.bb \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/4\Z$ $3.775470362$ $[1, 1, 1, -42296320, -105862991455]$ \(y^2+xy+y=x^3+x^2-42296320x-105862991455\) 2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 178.6.0.?, 356.24.0.?, $\ldots$ $[(-3727, 6633)]$
29370.bc1 29370.bc \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $0.190006302$ $[1, 0, 0, -2816, 0]$ \(y^2+xy=x^3-2816x\) 2.3.0.a.1, 44.6.0.c.1, 178.6.0.?, 3916.12.0.? $[(88, 616)]$
29370.bc2 29370.bc \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $0.380012604$ $[1, 0, 0, 11264, 2816]$ \(y^2+xy=x^3+11264x+2816\) 2.3.0.a.1, 22.6.0.a.1, 356.6.0.?, 3916.12.0.? $[(56, 872)]$
29370.bd1 29370.bd \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $3.393561378$ $[1, 0, 0, -190080996, -1008702232560]$ \(y^2+xy=x^3-190080996x-1008702232560\) 2.3.0.a.1, 44.6.0.c.1, 178.6.0.?, 3916.12.0.? $[(23808, 2809596)]$
29370.bd2 29370.bd \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\Z/2\Z$ $6.787122757$ $[1, 0, 0, -190080116, -1008712039104]$ \(y^2+xy=x^3-190080116x-1008712039104\) 2.3.0.a.1, 22.6.0.a.1, 356.6.0.?, 3916.12.0.? $[(88210, 25812976)]$
29370.be1 29370.be \( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 89 \) $1$ $\mathsf{trivial}$ $0.160037807$ $[1, 0, 0, -61, 1265]$ \(y^2+xy=x^3-61x+1265\) 39160.2.0.? $[(26, 119)]$
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