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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 218 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
338130.a1 338130.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -323241930, -12416733402300]$ \(y^2+xy=x^3-x^2-323241930x-12416733402300\) 260.2.0.? $[ ]$
338130.b1 338130.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $2$ $\Z/2\Z$ $1.159878317$ $[1, -1, 0, -3172815, 2176073725]$ \(y^2+xy=x^3-x^2-3172815x+2176073725\) 2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? $[(863, 8519), (1050, 665)]$
338130.b2 338130.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $2$ $\Z/2\Z$ $4.639513268$ $[1, -1, 0, -198495, 33968461]$ \(y^2+xy=x^3-x^2-198495x+33968461\) 2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? $[(215, 986), (270, -79)]$
338130.c1 338130.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -310440, 91614016]$ \(y^2+xy=x^3-x^2-310440x+91614016\) 26520.2.0.? $[ ]$
338130.d1 338130.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $3.284415528$ $[1, -1, 0, 10350, -192614]$ \(y^2+xy=x^3-x^2+10350x-192614\) 312.2.0.? $[(113, 1496)]$
338130.e1 338130.e \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $2$ $\Z/2\Z$ $3.196238701$ $[1, -1, 0, -46005, -1692235]$ \(y^2+xy=x^3-x^2-46005x-1692235\) 2.3.0.a.1, 4.6.0.b.1, 408.12.0.?, 1560.12.0.?, 2210.6.0.?, $\ldots$ $[(-89, 1345), (-119, 1504)]$
338130.e2 338130.e \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $2$ $\Z/2\Z$ $3.196238701$ $[1, -1, 0, 162075, -12886939]$ \(y^2+xy=x^3-x^2+162075x-12886939\) 2.3.0.a.1, 4.6.0.a.1, 408.12.0.?, 1560.12.0.?, 4420.12.0.?, $\ldots$ $[(353, 9216), (1798, 77131)]$
338130.f1 338130.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $6.084389793$ $[1, -1, 0, -3331935, -2502523679]$ \(y^2+xy=x^3-x^2-3331935x-2502523679\) 260.2.0.? $[(2156, 17147)]$
338130.g1 338130.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.991943787$ $[1, -1, 0, -698865345, 7111300882621]$ \(y^2+xy=x^3-x^2-698865345x+7111300882621\) 260.2.0.? $[(15245, -3721)]$
338130.h1 338130.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -10822815, -34109419059]$ \(y^2+xy=x^3-x^2-10822815x-34109419059\) 26520.2.0.? $[ ]$
338130.i1 338130.i \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $3.498460791$ $[1, -1, 0, -11325, -466875]$ \(y^2+xy=x^3-x^2-11325x-466875\) 312.2.0.? $[(225, 2775)]$
338130.j1 338130.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.941394498$ $[1, -1, 0, -3110850, 2005178386]$ \(y^2+xy=x^3-x^2-3110850x+2005178386\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.2, $\ldots$ $[(1205, 1679)]$
338130.j2 338130.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $5.824183496$ $[1, -1, 0, -535860, -150181880]$ \(y^2+xy=x^3-x^2-535860x-150181880\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.1, $\ldots$ $[(3587/2, 72229/2)]$
338130.j3 338130.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.912091748$ $[1, -1, 0, -15660, -4838000]$ \(y^2+xy=x^3-x^2-15660x-4838000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.c.1, 51.8.0-3.a.1.1, $\ldots$ $[(680, 16940)]$
338130.j4 338130.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $0.970697249$ $[1, -1, 0, 140400, 127906636]$ \(y^2+xy=x^3-x^2+140400x+127906636\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.c.1, 51.8.0-3.a.1.2, $\ldots$ $[(338, 14456)]$
338130.k1 338130.k \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -60845481765, 5777386324802325]$ \(y^2+xy=x^3-x^2-60845481765x+5777386324802325\) 312.2.0.? $[ ]$
338130.l1 338130.l \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $18.04703553$ $[1, -1, 0, -26545860, -52649932284]$ \(y^2+xy=x^3-x^2-26545860x-52649932284\) 260.2.0.? $[(1071256905/23, 35049864500937/23)]$
338130.m1 338130.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -119700, 14309406]$ \(y^2+xy=x^3-x^2-119700x+14309406\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? $[ ]$
338130.m2 338130.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 10350, 1122336]$ \(y^2+xy=x^3-x^2+10350x+1122336\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? $[ ]$
338130.n1 338130.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.093875283$ $[1, -1, 0, -22887120, 21102681600]$ \(y^2+xy=x^3-x^2-22887120x+21102681600\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? $[(-19920/13, 339057120/13)]$
338130.n2 338130.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $16.18775056$ $[1, -1, 0, 4856880, 2442067200]$ \(y^2+xy=x^3-x^2+4856880x+2442067200\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? $[(68712723/337, 2852961067587/337)]$
338130.o1 338130.o \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -15660, 2590456]$ \(y^2+xy=x^3-x^2-15660x+2590456\) 520.2.0.? $[ ]$
338130.p1 338130.p \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -132994802835, -18667606756118859]$ \(y^2+xy=x^3-x^2-132994802835x-18667606756118859\) 2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.? $[ ]$
338130.p2 338130.p \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -8649524115, -266718851520075]$ \(y^2+xy=x^3-x^2-8649524115x-266718851520075\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.? $[ ]$
338130.q1 338130.q \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $11.33193694$ $[1, -1, 0, -131561235, -580826748155]$ \(y^2+xy=x^3-x^2-131561235x-580826748155\) 260.2.0.? $[(3350843/11, 5471508538/11)]$
338130.r1 338130.r \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -795960, -156528320]$ \(y^2+xy=x^3-x^2-795960x-156528320\) 2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 260.12.0.?, 408.12.0.?, $\ldots$ $[ ]$
338130.r2 338130.r \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 2533320, -1128012224]$ \(y^2+xy=x^3-x^2+2533320x-1128012224\) 2.3.0.a.1, 4.6.0.a.1, 260.12.0.?, 408.12.0.?, 1560.24.0.?, $\ldots$ $[ ]$
338130.s1 338130.s \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.316722659$ $[1, -1, 0, -2889765, -1887376775]$ \(y^2+xy=x^3-x^2-2889765x-1887376775\) 2.3.0.a.1, 204.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? $[(-982, 2129)]$
338130.s2 338130.s \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.633445319$ $[1, -1, 0, -236745, -9569219]$ \(y^2+xy=x^3-x^2-236745x-9569219\) 2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? $[(1290, 42139)]$
338130.t1 338130.t \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $5.598206855$ $[1, -1, 0, -13722930, -14998822700]$ \(y^2+xy=x^3-x^2-13722930x-14998822700\) 2.3.0.a.1, 34.6.0.a.1, 52.6.0.e.1, 884.12.0.? $[(4505, 118550)]$
338130.t2 338130.t \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $11.19641371$ $[1, -1, 0, 32262750, -94084995164]$ \(y^2+xy=x^3-x^2+32262750x-94084995164\) 2.3.0.a.1, 52.6.0.e.1, 68.6.0.c.1, 884.12.0.? $[(142137/7, 52532458/7)]$
338130.u1 338130.u \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -626895, -198963635]$ \(y^2+xy=x^3-x^2-626895x-198963635\) 26520.2.0.? $[ ]$
338130.v1 338130.v \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $12.12971099$ $[1, -1, 0, -36715770, 85529961396]$ \(y^2+xy=x^3-x^2-36715770x+85529961396\) 2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? $[(1633060/21, 153079366/21)]$
338130.v2 338130.v \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.064855498$ $[1, -1, 0, -26103690, 135977667300]$ \(y^2+xy=x^3-x^2-26103690x+135977667300\) 2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? $[(6108, 449034)]$
338130.w1 338130.w \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -10305, -401459]$ \(y^2+xy=x^3-x^2-10305x-401459\) 20.2.0.a.1 $[ ]$
338130.x1 338130.x \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2187495, 1245661821]$ \(y^2+xy=x^3-x^2-2187495x+1245661821\) 2.3.0.a.1, 4.6.0.b.1, 130.6.0.?, 260.24.0.?, 408.12.0.?, $\ldots$ $[ ]$
338130.x2 338130.x \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1979415, 1491986925]$ \(y^2+xy=x^3-x^2-1979415x+1491986925\) 2.3.0.a.1, 4.6.0.a.1, 260.12.0.?, 408.12.0.?, 520.24.0.?, $\ldots$ $[ ]$
338130.y1 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.414395627$ $[1, -1, 0, -17143191015660, 27320313468836296300]$ \(y^2+xy=x^3-x^2-17143191015660x+27320313468836296300\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ $[(862649276/19, 7794458570/19)]$
338130.y2 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $16.82879125$ $[1, -1, 0, -1071449453160, 426880086563858800]$ \(y^2+xy=x^3-x^2-1071449453160x+426880086563858800\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.2.4, 51.8.0-3.a.1.2, $\ldots$ $[(119224185527/178, 39739113320185991/178)]$
338130.y3 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $33.65758251$ $[1, -1, 0, -1069506558180, 428505349689527476]$ \(y^2+xy=x^3-x^2-1069506558180x+428505349689527476\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ $[(1060856648984851847/530974, 1054859900099796313880863937/530974)]$
338130.y4 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $25.24318688$ $[1, -1, 0, -211651864920, 37473670967754496]$ \(y^2+xy=x^3-x^2-211651864920x+37473670967754496\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ $[(184361590281152/27151, 268593574522146204080/27151)]$
338130.y5 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.414395627$ $[1, -1, 0, -67087036440, 6644606911560256]$ \(y^2+xy=x^3-x^2-67087036440x+6644606911560256\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.1, 12.96.0-12.c.2.2, $\ldots$ $[(2589293/4, 321529289/4)]$
338130.y6 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $50.48637376$ $[1, -1, 0, -14454448920, 470482963468096]$ \(y^2+xy=x^3-x^2-14454448920x+470482963468096\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.96.0-12.a.1.10, 51.8.0-3.a.1.1, $\ldots$ $[(128842757660930987515957/946704732, 31269359785933230797930115053876713/946704732)]$
338130.y7 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $25.24318688$ $[1, -1, 0, -5452075800, -149202592145600]$ \(y^2+xy=x^3-x^2-5452075800x-149202592145600\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.3, 12.96.0-12.c.1.3, $\ldots$ $[(3205022105045/4892, 4560478220215282585/4892)]$
338130.y8 338130.y \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $100.9727475$ $[1, -1, 0, 38704997160, 3127062489980800]$ \(y^2+xy=x^3-x^2+38704997160x+3127062489980800\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ $[(302941396769030016126299011773409435467952285/81713381741606008212, 38477114782516958104079766317453232334167694773154370579937571180915/81713381741606008212)]$
338130.z1 338130.z \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1307490, 345008060]$ \(y^2+xy=x^3-x^2-1307490x+345008060\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 102.24.0.?, $\ldots$ $[ ]$
338130.z2 338130.z \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1155765, 478536175]$ \(y^2+xy=x^3-x^2-1155765x+478536175\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 102.24.0.?, $\ldots$ $[ ]$
338130.z3 338130.z \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -72015, 7538425]$ \(y^2+xy=x^3-x^2-72015x+7538425\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.2, 78.24.0.?, $\ldots$ $[ ]$
338130.z4 338130.z \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 253110, 38194100]$ \(y^2+xy=x^3-x^2+253110x+38194100\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 51.8.0-3.a.1.1, 78.24.0.?, $\ldots$ $[ ]$
338130.ba1 338130.ba \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -209205, 37562805]$ \(y^2+xy=x^3-x^2-209205x+37562805\) 260.2.0.? $[ ]$
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