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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 802 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
158400.a1 158400.a \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -708750, 229668750]$ \(y^2=x^3-708750x+229668750\) 6.2.0.a.1 $[ ]$
158400.b1 158400.b \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 10500, -430000]$ \(y^2=x^3+10500x-430000\) 132.2.0.? $[ ]$
158400.c1 158400.c \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.780701788$ $[0, 0, 0, -3150, 68050]$ \(y^2=x^3-3150x+68050\) 6.2.0.a.1 $[(29, 33)]$
158400.d1 158400.d \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $6.108267753$ $[0, 0, 0, -78750, -8506250]$ \(y^2=x^3-78750x-8506250\) 6.2.0.a.1 $[(1329, 47267)]$
158400.e1 158400.e \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $3.313830445$ $[0, 0, 0, -1274700, -559226000]$ \(y^2=x^3-1274700x-559226000\) 3.4.0.a.1, 66.8.0-3.a.1.2, 120.8.0.?, 440.2.0.?, 1320.16.0.? $[(1380, 17600)]$
158400.e2 158400.e \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $9.941491337$ $[0, 0, 0, 4269300, -2898794000]$ \(y^2=x^3+4269300x-2898794000\) 3.4.0.a.1, 66.8.0-3.a.1.1, 120.8.0.?, 440.2.0.?, 1320.16.0.? $[(210180/17, 119416000/17)]$
158400.f1 158400.f \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.514173648$ $[0, 0, 0, 420, 3440]$ \(y^2=x^3+420x+3440\) 132.2.0.? $[(4, 72)]$
158400.g1 158400.g \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -28350, -1837350]$ \(y^2=x^3-28350x-1837350\) 6.2.0.a.1 $[ ]$
158400.h1 158400.h \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.776247646$ $[0, 0, 0, -28368300, -57270382000]$ \(y^2=x^3-28368300x-57270382000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.z.1, 88.12.0.?, $\ldots$ $[(-3019, 29279)]$
158400.h2 158400.h \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.888123823$ $[0, 0, 0, -3618300, 1288118000]$ \(y^2=x^3-3618300x+1288118000\) 2.6.0.a.1, 20.12.0.b.1, 24.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ $[(106, 30096)]$
158400.h3 158400.h \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.944061911$ $[0, 0, 0, -3073800, 2073287000]$ \(y^2=x^3-3073800x+2073287000\) 2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.1, $\ldots$ $[(985, 1125)]$
158400.h4 158400.h \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.776247646$ $[0, 0, 0, 12419700, 9595802000]$ \(y^2=x^3+12419700x+9595802000\) 2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0-4.c.1.6, 40.12.0.z.1, $\ldots$ $[(12256, 1415196)]$
158400.i1 158400.i \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $4.442232306$ $[0, 0, 0, -331500, 85070000]$ \(y^2=x^3-331500x+85070000\) 3.4.0.a.1, 24.8.0-3.a.1.2, 66.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? $[(196, 5256)]$
158400.i2 158400.i \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.480744102$ $[0, 0, 0, 28500, -610000]$ \(y^2=x^3+28500x-610000\) 3.4.0.a.1, 24.8.0-3.a.1.1, 66.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? $[(100, 1800)]$
158400.j1 158400.j \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -22574700, -8744814000]$ \(y^2=x^3-22574700x-8744814000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 60.24.0-6.a.1.12, $\ldots$ $[ ]$
158400.j2 158400.j \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -17174700, -27395614000]$ \(y^2=x^3-17174700x-27395614000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 60.24.0-6.a.1.8, $\ldots$ $[ ]$
158400.j3 158400.j \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -16982700, -28038046000]$ \(y^2=x^3-16982700x-28038046000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 60.24.0-6.a.1.3, $\ldots$ $[ ]$
158400.j4 158400.j \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 88017300, -69128046000]$ \(y^2=x^3+88017300x-69128046000\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 60.24.0-6.a.1.1, $\ldots$ $[ ]$
158400.k1 158400.k \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.063827445$ $[0, 0, 0, -240300, 45198000]$ \(y^2=x^3-240300x+45198000\) 2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? $[(216, 1836)]$
158400.k2 158400.k \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.531913722$ $[0, 0, 0, -132300, 86022000]$ \(y^2=x^3-132300x+86022000\) 2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? $[(-290, 10000)]$
158400.l1 158400.l \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 150, 4250]$ \(y^2=x^3+150x+4250\) 22.2.0.a.1 $[ ]$
158400.m1 158400.m \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.206153820$ $[0, 0, 0, -23076300, 42667162000]$ \(y^2=x^3-23076300x+42667162000\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 88.12.0.?, $\ldots$ $[(3506, 69696)]$
158400.m2 158400.m \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.412307641$ $[0, 0, 0, -1476300, 633562000]$ \(y^2=x^3-1476300x+633562000\) 2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ $[(914, 6912)]$
158400.m3 158400.m \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $4.824615282$ $[0, 0, 0, -324300, -59942000]$ \(y^2=x^3-324300x-59942000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.1, 66.6.0.a.1, $\ldots$ $[(3666, 219136)]$
158400.m4 158400.m \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $4.824615282$ $[0, 0, 0, 1691700, 2984218000]$ \(y^2=x^3+1691700x+2984218000\) 2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.4, $\ldots$ $[(-736, 36612)]$
158400.n1 158400.n \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -282269100, -1825337270000]$ \(y^2=x^3-282269100x-1825337270000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.7, $\ldots$ $[ ]$
158400.n2 158400.n \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -17642100, -28519940000]$ \(y^2=x^3-17642100x-28519940000\) 2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 24.24.0.f.1, $\ldots$ $[ ]$
158400.n3 158400.n \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -16553100, -32194226000]$ \(y^2=x^3-16553100x-32194226000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.4, $\ldots$ $[ ]$
158400.n4 158400.n \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1170975, -387258500]$ \(y^2=x^3-1170975x-387258500\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ $[ ]$
158400.o1 158400.o \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $2$ $\Z/2\Z$ $3.365075743$ $[0, 0, 0, -18060, -867600]$ \(y^2=x^3-18060x-867600\) 2.3.0.a.1, 4.6.0.e.1, 12.12.0.n.1, 20.12.0.o.1, 60.24.0.be.1, $\ldots$ $[(-66, 192), (190, 1600)]$
158400.o2 158400.o \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $2$ $\Z/2\Z$ $3.365075743$ $[0, 0, 0, 1140, -61200]$ \(y^2=x^3+1140x-61200\) 2.3.0.a.1, 4.6.0.e.1, 24.12.0.bu.1, 30.6.0.a.1, 40.12.0.br.1, $\ldots$ $[(40, 220), (84, 792)]$
158400.p1 158400.p \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $15.07928127$ $[0, 0, 0, -4063500, -2928150000]$ \(y^2=x^3-4063500x-2928150000\) 2.3.0.a.1, 4.6.0.e.1, 12.12.0.n.1, 20.12.0.o.1, 60.24.0.be.1, $\ldots$ $[(72382636/69, 610120829384/69)]$
158400.p2 158400.p \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.539640636$ $[0, 0, 0, 256500, -206550000]$ \(y^2=x^3+256500x-206550000\) 2.3.0.a.1, 4.6.0.e.1, 24.12.0.bu.1, 30.6.0.a.1, 40.12.0.br.1, $\ldots$ $[(136300/3, 50347000/3)]$
158400.q1 158400.q \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.569799841$ $[0, 0, 0, -324300, 70958000]$ \(y^2=x^3-324300x+70958000\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 88.12.0.?, $\ldots$ $[(376, 1476)]$
158400.q2 158400.q \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.784899920$ $[0, 0, 0, -27300, 272000]$ \(y^2=x^3-27300x+272000\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 44.12.0-2.a.1.2, 120.24.0.?, $\ldots$ $[(-20, 900)]$
158400.q3 158400.q \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.569799841$ $[0, 0, 0, -17175, -862000]$ \(y^2=x^3-17175x-862000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ $[(244, 3078)]$
158400.q4 158400.q \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $0.892449960$ $[0, 0, 0, 107700, 2162000]$ \(y^2=x^3+107700x+2162000\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.1, 88.12.0.?, $\ldots$ $[(10, 1800)]$
158400.r1 158400.r \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -26393846700, 1650339826526000]$ \(y^2=x^3-26393846700x+1650339826526000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ $[ ]$
158400.r2 158400.r \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -1759478700, 22155907934000]$ \(y^2=x^3-1759478700x+22155907934000\) 2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$ $[ ]$
158400.r3 158400.r \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -579830700, -5077445794000]$ \(y^2=x^3-579830700x-5077445794000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 120.24.0.?, $\ldots$ $[ ]$
158400.r4 158400.r \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 4000521300, 136906627934000]$ \(y^2=x^3+4000521300x+136906627934000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ $[ ]$
158400.s1 158400.s \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1454700, 641486000]$ \(y^2=x^3-1454700x+641486000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ $[ ]$
158400.s2 158400.s \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -266700, -40426000]$ \(y^2=x^3-266700x-40426000\) 2.6.0.a.1, 8.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$ $[ ]$
158400.s3 158400.s \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -248700, -47734000]$ \(y^2=x^3-248700x-47734000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 120.24.0.?, $\ldots$ $[ ]$
158400.s4 158400.s \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 633300, -254626000]$ \(y^2=x^3+633300x-254626000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ $[ ]$
158400.t1 158400.t \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -8100, 216000]$ \(y^2=x^3-8100x+216000\) 2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? $[ ]$
158400.t2 158400.t \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 18900, 1350000]$ \(y^2=x^3+18900x+1350000\) 2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? $[ ]$
158400.u1 158400.u \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1011675, 391659500]$ \(y^2=x^3-1011675x+391659500\) 2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? $[ ]$
158400.u2 158400.u \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -999300, 401708000]$ \(y^2=x^3-999300x+401708000\) 2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? $[ ]$
158400.v1 158400.v \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.351179231$ $[0, 0, 0, -9300, -232000]$ \(y^2=x^3-9300x-232000\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? $[(-35, 225)]$
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