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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 (37 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
9675.a1 9675.a \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.822329258$ $[0, 0, 1, -4050075, 3137203656]$ \(y^2+y=x^3-4050075x+3137203656\) 86.2.0.? $[(1160, 112)]$
9675.b1 9675.b \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.766783904$ $[0, 0, 1, -75, -1094]$ \(y^2+y=x^3-75x-1094\) 86.2.0.? $[(25, 112)]$
9675.c1 9675.c \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.554799431$ $[0, 0, 1, 15, 36]$ \(y^2+y=x^3+15x+36\) 86.2.0.? $[(-1, 4)]$
9675.d1 9675.d \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $1.704069134$ $[0, 0, 1, 2175, -138344]$ \(y^2+y=x^3+2175x-138344\) 86.2.0.? $[(40, 112)]$
9675.e1 9675.e \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.274256365$ $[1, -1, 1, -680, 8822]$ \(y^2+xy+y=x^3-x^2-680x+8822\) 86.2.0.? $[(-6, 115)]$
9675.f1 9675.f \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -281250605, 1815537111022]$ \(y^2+xy+y=x^3-x^2-281250605x+1815537111022\) 2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.f2 9675.f \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -17578730, 28369142272]$ \(y^2+xy+y=x^3-x^2-17578730x+28369142272\) 2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.g1 9675.g \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -380, -6128]$ \(y^2+xy+y=x^3-x^2-380x-6128\) 516.2.0.? $[ ]$
9675.h1 9675.h \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -18605, 978022]$ \(y^2+xy+y=x^3-x^2-18605x+978022\) 2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.h2 9675.h \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -1730, -728]$ \(y^2+xy+y=x^3-x^2-1730x-728\) 2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.i1 9675.i \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.533566033$ $[0, 0, 1, -30, 76]$ \(y^2+y=x^3-30x+76\) 86.2.0.? $[(4, 4)]$
9675.j1 9675.j \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -502500, 137147656]$ \(y^2+y=x^3-502500x+137147656\) 3.4.0.a.1, 15.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 1290.16.0.? $[ ]$
9675.j2 9675.j \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 3750, 713281]$ \(y^2+y=x^3+3750x+713281\) 3.4.0.a.1, 15.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 1290.16.0.? $[ ]$
9675.k1 9675.k \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 1, -20100, 1097181]$ \(y^2+y=x^3-20100x+1097181\) 3.8.0-3.a.1.2, 86.2.0.?, 258.16.0.? $[ ]$
9675.k2 9675.k \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 150, 5706]$ \(y^2+y=x^3+150x+5706\) 3.8.0-3.a.1.1, 86.2.0.?, 258.16.0.? $[ ]$
9675.l1 9675.l \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $1.075068678$ $[0, 0, 1, -1800, 39656]$ \(y^2+y=x^3-1800x+39656\) 86.2.0.? $[(30, 112)]$
9675.m1 9675.m \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $3.417601150$ $[0, 0, 1, -4350, -110844]$ \(y^2+y=x^3-4350x-110844\) 86.2.0.? $[(305/2, 221/2)]$
9675.n1 9675.n \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $11.65137179$ $[0, 0, 1, 408300, -474640844]$ \(y^2+y=x^3+408300x-474640844\) 86.2.0.? $[(1448710/23, 1770801629/23)]$
9675.o1 9675.o \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.561243712$ $[0, 0, 1, -750, 9531]$ \(y^2+y=x^3-750x+9531\) 86.2.0.? $[(-25, 112)]$
9675.p1 9675.p \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -31250067, -67231698534]$ \(y^2+xy=x^3-x^2-31250067x-67231698534\) 2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.p2 9675.p \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1953192, -1050057909]$ \(y^2+xy=x^3-x^2-1953192x-1050057909\) 2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.q1 9675.q \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $1.967971475$ $[1, -1, 0, -5067, -134784]$ \(y^2+xy=x^3-x^2-5067x-134784\) 2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? $[(204, 2598)]$
9675.q2 9675.q \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $3.935942950$ $[1, -1, 0, 558, -421659]$ \(y^2+xy=x^3-x^2+558x-421659\) 2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? $[(807/2, 21639/2)]$
9675.r1 9675.r \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -154917, -23430384]$ \(y^2+xy=x^3-x^2-154917x-23430384\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ $[ ]$
9675.r2 9675.r \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -26667, 1213866]$ \(y^2+xy=x^3-x^2-26667x+1213866\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$ $[ ]$
9675.r3 9675.r \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -9792, -355509]$ \(y^2+xy=x^3-x^2-9792x-355509\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 172.12.0.?, $\ldots$ $[ ]$
9675.r4 9675.r \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 333, -21384]$ \(y^2+xy=x^3-x^2+333x-21384\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ $[ ]$
9675.s1 9675.s \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $8.283805147$ $[1, -1, 0, -55017, -4892234]$ \(y^2+xy=x^3-x^2-55017x-4892234\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ $[(-28461/14, 578327/14)]$
9675.s2 9675.s \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.141902573$ $[1, -1, 0, -6642, 90391]$ \(y^2+xy=x^3-x^2-6642x+90391\) 2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 172.12.0.?, $\ldots$ $[(51/2, 649/2)]$
9675.s3 9675.s \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $2.070951286$ $[1, -1, 0, -5517, 159016]$ \(y^2+xy=x^3-x^2-5517x+159016\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 120.24.0.?, $\ldots$ $[(24, 188)]$
9675.s4 9675.s \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $2.070951286$ $[1, -1, 0, 23733, 667516]$ \(y^2+xy=x^3-x^2+23733x+667516\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ $[(407/2, 15847/2)]$
9675.t1 9675.t \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -42, 241]$ \(y^2+xy=x^3-x^2-42x+241\) 516.2.0.? $[ ]$
9675.u1 9675.u \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $1.087423171$ $[1, -1, 0, -27, 76]$ \(y^2+xy=x^3-x^2-27x+76\) 86.2.0.? $[(8, 14)]$
9675.v1 9675.v \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2067, -35534]$ \(y^2+xy=x^3-x^2-2067x-35534\) 2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.v2 9675.v \( 3^{2} \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -192, 91]$ \(y^2+xy=x^3-x^2-192x+91\) 2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? $[ ]$
9675.w1 9675.w \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $1.523278750$ $[0, 0, 1, 375, 4531]$ \(y^2+y=x^3+375x+4531\) 86.2.0.? $[(25/2, 671/2)]$
9675.x1 9675.x \( 3^{2} \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $12.79529191$ $[0, 0, 1, -3775575, -2867770719]$ \(y^2+y=x^3-3775575x-2867770719\) 86.2.0.? $[(49621865/122, 266879100551/122)]$
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