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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 277 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
147600.a1 147600.a \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $2.852374324$ $[0, 0, 0, -8991675, -12425865750]$ \(y^2=x^3-8991675x-12425865750\) 4920.2.0.? $[(32485/3, 1250000/3)]$
147600.b1 147600.b \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -999075, 460217250]$ \(y^2=x^3-999075x+460217250\) 4920.2.0.? $[ ]$
147600.c1 147600.c \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $2.183761841$ $[0, 0, 0, -315, -7830]$ \(y^2=x^3-315x-7830\) 328.2.0.? $[(39, 198)]$
147600.d1 147600.d \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -45921675, -119707415750]$ \(y^2=x^3-45921675x-119707415750\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 20.6.0.b.1, $\ldots$ $[ ]$
147600.d2 147600.d \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -36921675, -168028415750]$ \(y^2=x^3-36921675x-168028415750\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.a.1, 60.48.0-60.o.1.1, $\ldots$ $[ ]$
147600.d3 147600.d \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1857675, 786888250]$ \(y^2=x^3-1857675x+786888250\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 20.6.0.b.1, $\ldots$ $[ ]$
147600.d4 147600.d \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 3902325, 4697928250]$ \(y^2=x^3+3902325x+4697928250\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.a.1, 60.48.0-60.o.1.2, $\ldots$ $[ ]$
147600.e1 147600.e \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $1.735621144$ $[0, 0, 0, 2400, 2333500]$ \(y^2=x^3+2400x+2333500\) 246.2.0.? $[(-46, 1458), (545/2, 18225/2)]$
147600.f1 147600.f \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $7.014045936$ $[0, 0, 0, 3750, -815625]$ \(y^2=x^3+3750x-815625\) 246.2.0.? $[(111, 984), (321/2, 369/2)]$
147600.g1 147600.g \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -21375, 168750]$ \(y^2=x^3-21375x+168750\) 2.3.0.a.1, 10.6.0.a.1, 164.6.0.?, 820.12.0.? $[ ]$
147600.g2 147600.g \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -15750, 759375]$ \(y^2=x^3-15750x+759375\) 2.3.0.a.1, 20.6.0.c.1, 164.6.0.?, 410.6.0.?, 820.12.0.? $[ ]$
147600.h1 147600.h \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\Z/2\Z$ $1.186073959$ $[0, 0, 0, -5835, -57350]$ \(y^2=x^3-5835x-57350\) 2.3.0.a.1, 40.6.0.b.1, 984.6.0.?, 2460.6.0.?, 4920.12.0.? $[(-51, 328), (-19, 216)]$
147600.h2 147600.h \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\Z/2\Z$ $4.744295839$ $[0, 0, 0, 1365, -6950]$ \(y^2=x^3+1365x-6950\) 2.3.0.a.1, 40.6.0.c.1, 984.6.0.?, 1230.6.0.?, 4920.12.0.? $[(21, 176), (15, 130)]$
147600.i1 147600.i \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $5.366594214$ $[0, 0, 0, 26325, -1059750]$ \(y^2=x^3+26325x-1059750\) 984.2.0.? $[(309, 6048), (39, 162)]$
147600.j1 147600.j \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 388125, -59838750]$ \(y^2=x^3+388125x-59838750\) 246.2.0.? $[ ]$
147600.k1 147600.k \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.693979435$ $[0, 0, 0, -26595, 1669410]$ \(y^2=x^3-26595x+1669410\) 246.2.0.? $[(81, 216)]$
147600.l1 147600.l \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $2.960438309$ $[0, 0, 0, -114375, 24493750]$ \(y^2=x^3-114375x+24493750\) 246.2.0.? $[(134, 3402)]$
147600.m1 147600.m \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\Z/2\Z$ $7.854547338$ $[0, 0, 0, -41475, -3194750]$ \(y^2=x^3-41475x-3194750\) 2.3.0.a.1, 8.6.0.b.1, 164.6.0.?, 328.12.0.? $[(-105, 50), (-129, 94)]$
147600.m2 147600.m \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\Z/2\Z$ $1.963636834$ $[0, 0, 0, -5475, 81250]$ \(y^2=x^3-5475x+81250\) 2.3.0.a.1, 8.6.0.c.1, 82.6.0.?, 328.12.0.? $[(-25, 450), (15, 50)]$
147600.n1 147600.n \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $1.987240579$ $[0, 0, 0, -26175, 1610750]$ \(y^2=x^3-26175x+1610750\) 2.3.0.a.1, 20.6.0.b.1, 82.6.0.?, 820.12.0.? $[(110, 250)]$
147600.n2 147600.n \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $0.993620289$ $[0, 0, 0, -3675, 4288250]$ \(y^2=x^3-3675x+4288250\) 2.3.0.a.1, 20.6.0.a.1, 164.6.0.?, 820.12.0.? $[(35, 2050)]$
147600.o1 147600.o \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $19.74926765$ $[0, 0, 0, -5673000, -5200765625]$ \(y^2=x^3-5673000x-5200765625\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 20.12.0.k.1, $\ldots$ $[(2016640561/540, 84259221968809/540)]$
147600.o2 147600.o \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $9.874633829$ $[0, 0, 0, -5667375, -5211593750]$ \(y^2=x^3-5667375x-5211593750\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 40.24.0.cv.1, $\ldots$ $[(2696009/10, 4408836723/10)]$
147600.p1 147600.p \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -27120, -1759120]$ \(y^2=x^3-27120x-1759120\) 246.2.0.? $[ ]$
147600.q1 147600.q \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $4.132369719$ $[0, 0, 0, -834075, -290229750]$ \(y^2=x^3-834075x-290229750\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 48.24.0-8.o.1.1, 60.12.0-4.c.1.2, $\ldots$ $[(-561, 1062)]$
147600.q2 147600.q \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.066184859$ $[0, 0, 0, -96075, 4232250]$ \(y^2=x^3-96075x+4232250\) 2.6.0.a.1, 4.12.0.a.1, 24.24.0-4.a.1.2, 40.24.0.j.1, 60.24.0-4.a.1.1, $\ldots$ $[(39, 738)]$
147600.q3 147600.q \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $1.033092429$ $[0, 0, 0, -78075, 8390250]$ \(y^2=x^3-78075x+8390250\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 48.24.0-8.o.1.1, 60.12.0-4.c.1.1, $\ldots$ $[(255, 2250)]$
147600.q4 147600.q \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\Z/2\Z$ $4.132369719$ $[0, 0, 0, 353925, 32582250]$ \(y^2=x^3+353925x+32582250\) 2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.4, 40.24.0.z.1, 60.24.0-4.d.1.1, $\ldots$ $[(-65, 3050)]$
147600.r1 147600.r \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.563630259$ $[0, 0, 0, 600, 1100]$ \(y^2=x^3+600x+1100\) 246.2.0.? $[(10, 90)]$
147600.s1 147600.s \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4014075, -3085469750]$ \(y^2=x^3-4014075x-3085469750\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.v.1, 60.12.0-4.c.1.2, $\ldots$ $[ ]$
147600.s2 147600.s \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -369075, 1845250]$ \(y^2=x^3-369075x+1845250\) 2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ $[ ]$
147600.s3 147600.s \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -256575, 49882750]$ \(y^2=x^3-256575x+49882750\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ $[ ]$
147600.s4 147600.s \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1475925, 14760250]$ \(y^2=x^3+1475925x+14760250\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ $[ ]$
147600.t1 147600.t \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $1.632313176$ $[0, 0, 0, -30, 295]$ \(y^2=x^3-30x+295\) 246.2.0.? $[(-1, 18), (11, 36)]$
147600.u1 147600.u \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.962507832$ $[0, 0, 0, 43125, 2216250]$ \(y^2=x^3+43125x+2216250\) 246.2.0.? $[(1125, 38400)]$
147600.v1 147600.v \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2955, -61830]$ \(y^2=x^3-2955x-61830\) 246.2.0.? $[ ]$
147600.w1 147600.w \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $4.530613218$ $[0, 0, 0, -18300, -1194500]$ \(y^2=x^3-18300x-1194500\) 246.2.0.? $[(1505/2, 53775/2)]$
147600.x1 147600.x \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $3.676535516$ $[0, 0, 0, 2925, 39250]$ \(y^2=x^3+2925x+39250\) 984.2.0.? $[(14, 288)]$
147600.y1 147600.y \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $14.13127459$ $[0, 0, 0, 33750, 22021875]$ \(y^2=x^3+33750x+22021875\) 246.2.0.? $[(-683561/55, 281203262/55)]$
147600.z1 147600.z \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2400, -106000]$ \(y^2=x^3+2400x-106000\) 246.2.0.? $[ ]$
147600.ba1 147600.ba \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -25844700, -50571444125]$ \(y^2=x^3-25844700x-50571444125\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ $[ ]$
147600.ba2 147600.ba \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -25834575, -50613047750]$ \(y^2=x^3-25834575x-50613047750\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ $[ ]$
147600.ba3 147600.ba \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -329700, -64501625]$ \(y^2=x^3-329700x-64501625\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ $[ ]$
147600.ba4 147600.ba \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 490425, -334322750]$ \(y^2=x^3+490425x-334322750\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ $[ ]$
147600.bb1 147600.bb \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $1.335693244$ $[0, 0, 0, -675, -546750]$ \(y^2=x^3-675x-546750\) 4920.2.0.? $[(135, 1350), (405, 8100)]$
147600.bc1 147600.bc \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.377025020$ $[0, 0, 0, -51075, 4442850]$ \(y^2=x^3-51075x+4442850\) 328.2.0.? $[(135, 90)]$
147600.bd1 147600.bd \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -16635, -1079030]$ \(y^2=x^3-16635x-1079030\) 328.2.0.? $[ ]$
147600.be1 147600.be \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $8.922105904$ $[0, 0, 0, -2836875, 1870056250]$ \(y^2=x^3-2836875x+1870056250\) 328.2.0.? $[(47591/5, 7254486/5)]$
147600.bf1 147600.bf \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.965206923$ $[0, 0, 0, -75, 20250]$ \(y^2=x^3-75x+20250\) 4920.2.0.? $[(15, 150)]$
147600.bg1 147600.bg \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $1.169496028$ $[0, 0, 0, -1200, -17620]$ \(y^2=x^3-1200x-17620\) 6.2.0.a.1 $[(61, 369)]$
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