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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 (46 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
9200.a1 9200.a \( 2^{4} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.439425055$ $[0, 0, 0, 125, 3970]$ \(y^2=x^3+125x+3970\) 8.2.0.a.1 $[(1, 64), (129, 1472)]$
9200.b1 9200.b \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.004561954$ $[0, 0, 0, -25, -125]$ \(y^2=x^3-25x-125\) 46.2.0.a.1 $[(10, 25)]$
9200.c1 9200.c \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4675, -123875]$ \(y^2=x^3-4675x-123875\) 46.2.0.a.1 $[ ]$
9200.d1 9200.d \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 167, -5037]$ \(y^2=x^3+x^2+167x-5037\) 230.2.0.? $[ ]$
9200.e1 9200.e \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -9208, 165588]$ \(y^2=x^3+x^2-9208x+165588\) 92.2.0.? $[ ]$
9200.f1 9200.f \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.009797908$ $[0, 1, 0, -46608, 3857428]$ \(y^2=x^3+x^2-46608x+3857428\) 3.4.0.a.1, 60.8.0-3.a.1.1, 92.2.0.?, 276.8.0.?, 690.8.0.?, $\ldots$ $[(124, 6)]$
9200.f2 9200.f \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.336599302$ $[0, 1, 0, -608, 4468]$ \(y^2=x^3+x^2-608x+4468\) 3.4.0.a.1, 60.8.0-3.a.1.2, 92.2.0.?, 276.8.0.?, 690.8.0.?, $\ldots$ $[(4, 46)]$
9200.g1 9200.g \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -7333, -245037]$ \(y^2=x^3+x^2-7333x-245037\) 230.2.0.? $[ ]$
9200.h1 9200.h \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -27708, 1746088]$ \(y^2=x^3+x^2-27708x+1746088\) 3.4.0.a.1, 60.8.0-3.a.1.1, 92.2.0.?, 276.8.0.?, 690.8.0.?, $\ldots$ $[ ]$
9200.h2 9200.h \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2708, -53912]$ \(y^2=x^3+x^2-2708x-53912\) 3.4.0.a.1, 60.8.0-3.a.1.2, 92.2.0.?, 276.8.0.?, 690.8.0.?, $\ldots$ $[ ]$
9200.i1 9200.i \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -2208, -40412]$ \(y^2=x^3+x^2-2208x-40412\) 92.2.0.? $[ ]$
9200.j1 9200.j \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.118329794$ $[0, 1, 0, -208, -1212]$ \(y^2=x^3+x^2-208x-1212\) 92.2.0.? $[(-8, 2)]$
9200.k1 9200.k \( 2^{4} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.119599032$ $[0, -1, 0, -608, 6112]$ \(y^2=x^3-x^2-608x+6112\) 8.2.0.a.1 $[(12, 20), (42, 230)]$
9200.l1 9200.l \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.878452781$ $[0, -1, 0, -108, -413]$ \(y^2=x^3-x^2-108x-413\) 46.2.0.a.1 $[(27, 125)]$
9200.m1 9200.m \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -258, -1613]$ \(y^2=x^3-x^2-258x-1613\) 46.2.0.a.1 $[ ]$
9200.n1 9200.n \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.592351330$ $[0, -1, 0, -8, 2887]$ \(y^2=x^3-x^2-8x+2887\) 46.2.0.a.1 $[(-13, 25)]$
9200.o1 9200.o \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -8, -113]$ \(y^2=x^3-x^2-8x-113\) 46.2.0.a.1 $[ ]$
9200.p1 9200.p \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.071130930$ $[0, 0, 0, -68075, 6836250]$ \(y^2=x^3-68075x+6836250\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(149, 32)]$
9200.p2 9200.p \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.142261861$ $[0, 0, 0, -4075, 116250]$ \(y^2=x^3-4075x+116250\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(-25, 450)]$
9200.q1 9200.q \( 2^{4} \cdot 5^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $0.436257917$ $[0, 0, 0, -200, 1500]$ \(y^2=x^3-200x+1500\) 230.2.0.? $[(5, 25), (-10, 50)]$
9200.r1 9200.r \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.739812878$ $[0, 0, 0, -875, -3750]$ \(y^2=x^3-875x-3750\) 92.2.0.? $[(-25, 50)]$
9200.s1 9200.s \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2001875, -1089168750]$ \(y^2=x^3-2001875x-1089168750\) 92.2.0.? $[ ]$
9200.t1 9200.t \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.993061437$ $[0, 0, 0, 2800, 86000]$ \(y^2=x^3+2800x+86000\) 230.2.0.? $[(-95/2, 625/2)]$
9200.u1 9200.u \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.058507500$ $[0, 0, 0, -35, -30]$ \(y^2=x^3-35x-30\) 92.2.0.? $[(-1, 2)]$
9200.v1 9200.v \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -80075, -8713350]$ \(y^2=x^3-80075x-8713350\) 92.2.0.? $[ ]$
9200.w1 9200.w \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 36700, 355500]$ \(y^2=x^3+36700x+355500\) 230.2.0.? $[ ]$
9200.x1 9200.x \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -875, -7750]$ \(y^2=x^3-875x-7750\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[ ]$
9200.x2 9200.x \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 125, -750]$ \(y^2=x^3+125x-750\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[ ]$
9200.y1 9200.y \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.217087480$ $[0, 1, 0, -1158, -68437]$ \(y^2=x^3+x^2-1158x-68437\) 3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.2, 138.8.0.?, 1380.16.0.? $[(343, 6325)]$
9200.y2 9200.y \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $6.651262440$ $[0, 1, 0, 10342, 1760063]$ \(y^2=x^3+x^2+10342x+1760063\) 3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.1, 138.8.0.?, 1380.16.0.? $[(3007/3, 176275/3)]$
9200.z1 9200.z \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 92, -437]$ \(y^2=x^3+x^2+92x-437\) 46.2.0.a.1 $[ ]$
9200.ba1 9200.ba \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -458, 4463]$ \(y^2=x^3+x^2-458x+4463\) 3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.1, 138.8.0.?, 1380.16.0.? $[ ]$
9200.ba2 9200.ba \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 42, -37]$ \(y^2=x^3+x^2+42x-37\) 3.4.0.a.1, 46.2.0.a.1, 60.8.0-3.a.1.2, 138.8.0.?, 1380.16.0.? $[ ]$
9200.bb1 9200.bb \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -15208, 733588]$ \(y^2=x^3+x^2-15208x+733588\) 8.2.0.a.1 $[ ]$
9200.bc1 9200.bc \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $4.923173455$ $[0, -1, 0, -5208, -141088]$ \(y^2=x^3-x^2-5208x-141088\) 92.2.0.? $[(-338/3, 298/3)]$
9200.bd1 9200.bd \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -88, -288]$ \(y^2=x^3-x^2-88x-288\) 92.2.0.? $[ ]$
9200.be1 9200.be \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -368, 1472]$ \(y^2=x^3-x^2-368x+1472\) 92.2.0.? $[ ]$
9200.bf1 9200.bf \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $5.260586707$ $[0, -1, 0, -1165208, 484508912]$ \(y^2=x^3-x^2-1165208x+484508912\) 3.4.0.a.1, 12.8.0-3.a.1.2, 92.2.0.?, 138.8.0.?, 276.16.0.? $[(15586/5, 534/5)]$
9200.bf2 9200.bf \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.753528902$ $[0, -1, 0, -15208, 588912]$ \(y^2=x^3-x^2-15208x+588912\) 3.4.0.a.1, 12.8.0-3.a.1.1, 92.2.0.?, 138.8.0.?, 276.16.0.? $[(42, 150)]$
9200.bg1 9200.bg \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $5.389698170$ $[0, -1, 0, -293, -1843]$ \(y^2=x^3-x^2-293x-1843\) 230.2.0.? $[(337/4, 1905/4)]$
9200.bh1 9200.bh \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1108, 14412]$ \(y^2=x^3-x^2-1108x+14412\) 3.4.0.a.1, 12.8.0-3.a.1.2, 92.2.0.?, 138.8.0.?, 276.16.0.? $[ ]$
9200.bh2 9200.bh \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -108, -388]$ \(y^2=x^3-x^2-108x-388\) 3.4.0.a.1, 12.8.0-3.a.1.1, 92.2.0.?, 138.8.0.?, 276.16.0.? $[ ]$
9200.bi1 9200.bi \( 2^{4} \cdot 5^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $2.304310535$ $[0, -1, 0, 7, -43]$ \(y^2=x^3-x^2+7x-43\) 230.2.0.? $[(13/2, 15/2)]$
9200.bj1 9200.bj \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1375, 19625]$ \(y^2=x^3-1375x+19625\) 46.2.0.a.1 $[ ]$
9200.bk1 9200.bk \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1825, -306625]$ \(y^2=x^3-1825x-306625\) 46.2.0.a.1 $[ ]$
9200.bl1 9200.bl \( 2^{4} \cdot 5^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 3125, 496250]$ \(y^2=x^3+3125x+496250\) 8.2.0.a.1 $[ ]$
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