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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 345 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
387600.a1 387600.a \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $1.322171695$ $[0, -1, 0, 152, 3952]$ \(y^2=x^3-x^2+152x+3952\) 7752.2.0.? $[(-12, 16)]$
387600.b1 387600.b \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -36773908, -78673377188]$ \(y^2=x^3-x^2-36773908x-78673377188\) 2.3.0.a.1, 76.6.0.?, 340.6.0.?, 6460.12.0.? $[ ]$
387600.b2 387600.b \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -35916533, -82836790188]$ \(y^2=x^3-x^2-35916533x-82836790188\) 2.3.0.a.1, 76.6.0.?, 170.6.0.?, 6460.12.0.? $[ ]$
387600.c1 387600.c \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $2.224130891$ $[0, -1, 0, -13708, -559088]$ \(y^2=x^3-x^2-13708x-559088\) 2.3.0.a.1, 170.6.0.?, 1140.6.0.?, 3876.6.0.?, 19380.12.0.? $[(-64, 228)]$
387600.c2 387600.c \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $4.448261783$ $[0, -1, 0, -3083, 57162]$ \(y^2=x^3-x^2-3083x+57162\) 2.3.0.a.1, 340.6.0.?, 570.6.0.?, 3876.6.0.?, 19380.12.0.? $[(78, 534)]$
387600.d1 387600.d \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $0.954963838$ $[0, -1, 0, -9967288, 1362965872]$ \(y^2=x^3-x^2-9967288x+1362965872\) 2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? $[(5628, 351424)]$
387600.d2 387600.d \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.909927676$ $[0, -1, 0, 2474312, 168572272]$ \(y^2=x^3-x^2+2474312x+168572272\) 2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? $[(956, 58368)]$
387600.e1 387600.e \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $8.532589673$ $[0, -1, 0, 9157767, -3246601563]$ \(y^2=x^3-x^2+9157767x-3246601563\) 646.2.0.? $[(409908, 262446561)]$
387600.f1 387600.f \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $5.064921237$ $[0, -1, 0, -136208, 2310912]$ \(y^2=x^3-x^2-136208x+2310912\) 2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? $[(392, 3000), (378, 2166)]$
387600.f2 387600.f \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $5.064921237$ $[0, -1, 0, 33792, 270912]$ \(y^2=x^3-x^2+33792x+270912\) 2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? $[(242, 4750), (8, 736)]$
387600.g1 387600.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $3.268587242$ $[0, -1, 0, -45833, 3812037]$ \(y^2=x^3-x^2-45833x+3812037\) 646.2.0.? $[(116, 207)]$
387600.h1 387600.h \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $4.887965201$ $[0, -1, 0, -7333, -5294963]$ \(y^2=x^3-x^2-7333x-5294963\) 646.2.0.? $[(3292, 188775)]$
387600.i1 387600.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $5.499216488$ $[0, -1, 0, -93608, -10968288]$ \(y^2=x^3-x^2-93608x-10968288\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 76.12.0.?, 136.12.0.?, $\ldots$ $[(-178, 150), (422, 4950)]$
387600.i2 387600.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $1.374804122$ $[0, -1, 0, -84608, 9461712]$ \(y^2=x^3-x^2-84608x+9461712\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ $[(158, 114), (152, 300)]$
387600.i3 387600.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $5.499216488$ $[0, -1, 0, -8108, -24288]$ \(y^2=x^3-x^2-8108x-24288\) 2.6.0.a.1, 20.12.0-2.a.1.1, 68.12.0.b.1, 76.12.0.?, 340.24.0.?, $\ldots$ $[(-8, 200), (-52, 504)]$
387600.i4 387600.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $21.99686595$ $[0, -1, 0, 2017, -4038]$ \(y^2=x^3-x^2+2017x-4038\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 136.12.0.?, 152.12.0.?, $\ldots$ $[(402, 8100), (1257/4, 50925/4)]$
387600.j1 387600.j \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.550411848$ $[0, -1, 0, -38408, -2852688]$ \(y^2=x^3-x^2-38408x-2852688\) 2.3.0.a.1, 76.6.0.?, 1020.6.0.?, 19380.12.0.? $[(-118, 150)]$
387600.j2 387600.j \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $3.100823697$ $[0, -1, 0, -408, -116688]$ \(y^2=x^3-x^2-408x-116688\) 2.3.0.a.1, 76.6.0.?, 510.6.0.?, 19380.12.0.? $[(77, 550)]$
387600.k1 387600.k \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -8908, -39188]$ \(y^2=x^3-x^2-8908x-39188\) 2.3.0.a.1, 76.6.0.?, 340.6.0.?, 6460.12.0.? $[ ]$
387600.k2 387600.k \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6533, -200688]$ \(y^2=x^3-x^2-6533x-200688\) 2.3.0.a.1, 76.6.0.?, 170.6.0.?, 6460.12.0.? $[ ]$
387600.l1 387600.l \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.616142537$ $[0, -1, 0, -343408, 77569312]$ \(y^2=x^3-x^2-343408x+77569312\) 2.3.0.a.1, 60.6.0.c.1, 2584.6.0.?, 38760.12.0.? $[(362, 750)]$
387600.l2 387600.l \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $0.808071268$ $[0, -1, 0, -20408, 1341312]$ \(y^2=x^3-x^2-20408x+1341312\) 2.3.0.a.1, 30.6.0.a.1, 2584.6.0.?, 38760.12.0.? $[(22, 950)]$
387600.m1 387600.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -13781408, -19687346688]$ \(y^2=x^3-x^2-13781408x-19687346688\) 2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 6460.24.0.?, 7752.24.0.?, $\ldots$ $[ ]$
387600.m2 387600.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -861408, -307346688]$ \(y^2=x^3-x^2-861408x-307346688\) 2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.1, 3876.24.0.?, 6460.24.0.?, $\ldots$ $[ ]$
387600.m3 387600.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -741408, -396146688]$ \(y^2=x^3-x^2-741408x-396146688\) 2.3.0.a.1, 4.12.0-4.c.1.1, 30.6.0.a.1, 60.24.0-60.g.1.3, 7752.24.0.?, $\ldots$ $[ ]$
387600.m4 387600.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -61408, -3346688]$ \(y^2=x^3-x^2-61408x-3346688\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ $[ ]$
387600.n1 387600.n \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -11253, -456003]$ \(y^2=x^3-x^2-11253x-456003\) 646.2.0.? $[ ]$
387600.o1 387600.o \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $4.169646275$ $[0, -1, 0, -40508, 1656012]$ \(y^2=x^3-x^2-40508x+1656012\) 2.3.0.a.1, 76.6.0.?, 340.6.0.?, 6460.12.0.? $[(497, 10200)]$
387600.o2 387600.o \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $8.339292551$ $[0, -1, 0, -19133, -994488]$ \(y^2=x^3-x^2-19133x-994488\) 2.3.0.a.1, 76.6.0.?, 170.6.0.?, 6460.12.0.? $[(42497/16, 2513025/16)]$
387600.p1 387600.p \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -732908, -1075033188]$ \(y^2=x^3-x^2-732908x-1075033188\) 3876.2.0.? $[ ]$
387600.q1 387600.q \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -4369408, 3516915712]$ \(y^2=x^3-x^2-4369408x+3516915712\) 7752.2.0.? $[ ]$
387600.r1 387600.r \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -959635291808, 361832092928186112]$ \(y^2=x^3-x^2-959635291808x+361832092928186112\) 2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? $[ ]$
387600.r2 387600.r \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -60612443808, 5527761717434112]$ \(y^2=x^3-x^2-60612443808x+5527761717434112\) 2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? $[ ]$
387600.s1 387600.s \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -71008, -7245488]$ \(y^2=x^3-x^2-71008x-7245488\) 2.3.0.a.1, 8.6.0.d.1, 1938.6.0.?, 7752.12.0.? $[ ]$
387600.s2 387600.s \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -46008, -12445488]$ \(y^2=x^3-x^2-46008x-12445488\) 2.3.0.a.1, 8.6.0.a.1, 3876.6.0.?, 7752.12.0.? $[ ]$
387600.t1 387600.t \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $0.792429176$ $[0, -1, 0, -79208, -3689088]$ \(y^2=x^3-x^2-79208x-3689088\) 2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? $[(-124, 2052)]$
387600.t2 387600.t \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.584858353$ $[0, -1, 0, 281792, -28237088]$ \(y^2=x^3-x^2+281792x-28237088\) 2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? $[(826, 27702)]$
387600.u1 387600.u \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $6.237727743$ $[0, -1, 0, -1412708, 647006412]$ \(y^2=x^3-x^2-1412708x+647006412\) 3.4.0.a.1, 12.8.0-3.a.1.2, 114.8.0.?, 228.16.0.? $[(115989/13, 1090686/13)]$
387600.u2 387600.u \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $2.079242581$ $[0, -1, 0, 12292, 3476412]$ \(y^2=x^3-x^2+12292x+3476412\) 3.4.0.a.1, 12.8.0-3.a.1.1, 114.8.0.?, 228.16.0.? $[(117, 2550)]$
387600.v1 387600.v \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $3.170781114$ $[0, -1, 0, -46765408, 123107533312]$ \(y^2=x^3-x^2-46765408x+123107533312\) 2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? $[(3962, 750)]$
387600.v2 387600.v \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.585390557$ $[0, -1, 0, -2837408, 2041965312]$ \(y^2=x^3-x^2-2837408x+2041965312\) 2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? $[(922, 14450)]$
387600.w1 387600.w \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $1.766150438$ $[0, -1, 0, -378608, 81761712]$ \(y^2=x^3-x^2-378608x+81761712\) 2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? $[(62, 7650), (997, 26350)]$
387600.w2 387600.w \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $2$ $\Z/2\Z$ $1.766150438$ $[0, -1, 0, -369108, 86435712]$ \(y^2=x^3-x^2-369108x+86435712\) 2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? $[(377, 850), (-48, 10200)]$
387600.x1 387600.x \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $10.49995855$ $[0, -1, 0, -14950208, -22244501088]$ \(y^2=x^3-x^2-14950208x-22244501088\) 408.2.0.? $[(1822978/11, 2370522194/11)]$
387600.y1 387600.y \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\mathsf{trivial}$ $1.889894955$ $[0, -1, 0, 56792, 3484912]$ \(y^2=x^3-x^2+56792x+3484912\) 408.2.0.? $[(186, 4522)]$
387600.z1 387600.z \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -23960127408, -1427502537122688]$ \(y^2=x^3-x^2-23960127408x-1427502537122688\) 2.3.0.a.1, 68.6.0.c.1, 76.6.0.?, 1292.12.0.? $[ ]$
387600.z2 387600.z \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -23960089408, -1427507291530688]$ \(y^2=x^3-x^2-23960089408x-1427507291530688\) 2.3.0.a.1, 34.6.0.a.1, 76.6.0.?, 1292.12.0.? $[ ]$
387600.ba1 387600.ba \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $1.759900048$ $[0, -1, 0, -2269008, 1207576512]$ \(y^2=x^3-x^2-2269008x+1207576512\) 2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? $[(1082, 4250)]$
387600.ba2 387600.ba \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $1$ $\Z/2\Z$ $3.519800096$ $[0, -1, 0, 162992, 88856512]$ \(y^2=x^3-x^2+162992x+88856512\) 2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? $[(-303, 3400)]$
387600.bb1 387600.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3333, -522963]$ \(y^2=x^3-x^2-3333x-522963\) 646.2.0.? $[ ]$
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