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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 328 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
218400.a1 218400.a \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $0.815897713$ $[0, -1, 0, -156833, 23955537]$ \(y^2=x^3-x^2-156833x+23955537\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[(277, 1300)]$
218400.a2 218400.a \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.631795426$ $[0, -1, 0, -8958, 443412]$ \(y^2=x^3-x^2-8958x+443412\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[(62, 350)]$
218400.b1 218400.b \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 2792, 67912]$ \(y^2=x^3-x^2+2792x+67912\) 312.2.0.? $[ ]$
218400.c1 218400.c \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1307608, -1135914488]$ \(y^2=x^3-x^2-1307608x-1135914488\) 312.2.0.? $[ ]$
218400.d1 218400.d \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.155682888$ $[0, -1, 0, -11233, -443663]$ \(y^2=x^3-x^2-11233x-443663\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[(-63, 100)]$
218400.d2 218400.d \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $2.311365776$ $[0, -1, 0, 142, -22788]$ \(y^2=x^3-x^2+142x-22788\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[(52, 350)]$
218400.e1 218400.e \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -983633, -375160863]$ \(y^2=x^3-x^2-983633x-375160863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.y.1.1, $\ldots$ $[ ]$
218400.e2 218400.e \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -176008, 21155512]$ \(y^2=x^3-x^2-176008x+21155512\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.y.1.14, 728.24.0.?, $\ldots$ $[ ]$
218400.e3 218400.e \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -62258, -5689488]$ \(y^2=x^3-x^2-62258x-5689488\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 364.12.0.?, $\ldots$ $[ ]$
218400.e4 218400.e \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 38992, -22496988]$ \(y^2=x^3-x^2+38992x-22496988\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.2, 40.24.0-40.s.1.2, $\ldots$ $[ ]$
218400.f1 218400.f \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -833, 159537]$ \(y^2=x^3-x^2-833x+159537\) 1092.2.0.? $[ ]$
218400.g1 218400.g \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $0.828713729$ $[0, -1, 0, -12433, 536737]$ \(y^2=x^3-x^2-12433x+536737\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ $[(57, 100)]$
218400.g2 218400.g \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $3.314854916$ $[0, -1, 0, -10808, -426888]$ \(y^2=x^3-x^2-10808x-426888\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$ $[(133, 686)]$
218400.g3 218400.g \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.657427458$ $[0, -1, 0, -1058, 2112]$ \(y^2=x^3-x^2-1058x+2112\) 2.6.0.a.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$ $[(58, 364)]$
218400.g4 218400.g \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $3.314854916$ $[0, -1, 0, 4192, 12612]$ \(y^2=x^3-x^2+4192x+12612\) 2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ $[(97, 1150)]$
218400.h1 218400.h \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $2.896638411$ $[0, -1, 0, -3781408, -2829012188]$ \(y^2=x^3-x^2-3781408x-2829012188\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0.s.1, 104.12.0.?, $\ldots$ $[(3037, 117000)]$
218400.h2 218400.h \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $2.896638411$ $[0, -1, 0, -522033, 81215937]$ \(y^2=x^3-x^2-522033x+81215937\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 56.12.0.y.1, 104.12.0.?, $\ldots$ $[(137, 3500)]$
218400.h3 218400.h \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.793276822$ $[0, -1, 0, -237658, -43624688]$ \(y^2=x^3-x^2-237658x-43624688\) 2.6.0.a.1, 40.12.0-2.a.1.1, 56.12.0.b.1, 104.12.0.?, 140.12.0.?, $\ldots$ $[(4146, 264992)]$
218400.h4 218400.h \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $11.58655364$ $[0, -1, 0, 25592, -135235688]$ \(y^2=x^3-x^2+25592x-135235688\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0.y.1, 104.12.0.?, $\ldots$ $[(698649/13, 583775024/13)]$
218400.i1 218400.i \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -109208, -8160588]$ \(y^2=x^3-x^2-109208x-8160588\) 2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? $[ ]$
218400.i2 218400.i \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -47958, 3966912]$ \(y^2=x^3-x^2-47958x+3966912\) 2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? $[ ]$
218400.j1 218400.j \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.829768531$ $[0, -1, 0, -42658, -3376688]$ \(y^2=x^3-x^2-42658x-3376688\) 2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.? $[(507, 10250)]$
218400.j2 218400.j \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $2.414884265$ $[0, -1, 0, -39408, -3916188]$ \(y^2=x^3-x^2-39408x-3916188\) 2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.? $[(312, 3750)]$
218400.k1 218400.k \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $27.36193984$ $[0, -1, 0, -317408, -81724188]$ \(y^2=x^3-x^2-317408x-81724188\) 2184.2.0.? $[(1138953345184/33967, 932322935549360906/33967)]$
218400.l1 218400.l \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $5.298174786$ $[0, -1, 0, -255633, -49660863]$ \(y^2=x^3-x^2-255633x-49660863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ $[(9707, 955000)]$
218400.l2 218400.l \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.324543696$ $[0, -1, 0, -78008, 7761012]$ \(y^2=x^3-x^2-78008x+7761012\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ $[(28, 2366)]$
218400.l3 218400.l \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.649087393$ $[0, -1, 0, -16758, -691488]$ \(y^2=x^3-x^2-16758x-691488\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 156.12.0.?, $\ldots$ $[(-49, 98)]$
218400.l4 218400.l \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $5.298174786$ $[0, -1, 0, 31992, -4006488]$ \(y^2=x^3-x^2+31992x-4006488\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 312.24.0.?, $\ldots$ $[(9701, 955598)]$
218400.m1 218400.m \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -118888, -15727628]$ \(y^2=x^3-x^2-118888x-15727628\) 2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[ ]$
218400.m2 218400.m \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9038, -128928]$ \(y^2=x^3-x^2-9038x-128928\) 2.3.0.a.1, 210.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[ ]$
218400.n1 218400.n \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $1.355946385$ $[0, -1, 0, -2050433, 1130782737]$ \(y^2=x^3-x^2-2050433x+1130782737\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[(817, 500)]$
218400.n2 218400.n \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $2.711892771$ $[0, -1, 0, -128058, 17727612]$ \(y^2=x^3-x^2-128058x+17727612\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[(212, 250)]$
218400.o1 218400.o \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.966040065$ $[0, -1, 0, -88208, -3792588]$ \(y^2=x^3-x^2-88208x-3792588\) 2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[(-44, 38)]$
218400.o2 218400.o \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $9.932080131$ $[0, -1, 0, -71958, -7400088]$ \(y^2=x^3-x^2-71958x-7400088\) 2.3.0.a.1, 210.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[(1173092, 1270568000)]$
218400.p1 218400.p \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $14.72624393$ $[0, -1, 0, -93933, -57260763]$ \(y^2=x^3-x^2-93933x-57260763\) 182.2.0.? $[(313277031/245, 5533668761004/245)]$
218400.q1 218400.q \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6755008, -6746946488]$ \(y^2=x^3-x^2-6755008x-6746946488\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 24.24.0-24.s.1.6, $\ldots$ $[ ]$
218400.q2 218400.q \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -5138008, 4453351012]$ \(y^2=x^3-x^2-5138008x+4453351012\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 40.24.0-40.ba.1.4, 120.48.0.? $[ ]$
218400.q3 218400.q \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -544258, -39336488]$ \(y^2=x^3-x^2-544258x-39336488\) 2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 24.24.0-24.b.1.6, 120.48.0.? $[ ]$
218400.q4 218400.q \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 2096367, -311320863]$ \(y^2=x^3-x^2+2096367x-311320863\) 2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 24.24.0-24.y.1.5, 120.48.0.? $[ ]$
218400.r1 218400.r \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.124352413$ $[0, -1, 0, -3528, 31752]$ \(y^2=x^3-x^2-3528x+31752\) 2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[(1, 168)]$
218400.r2 218400.r \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $2.062176206$ $[0, -1, 0, -2878, 60352]$ \(y^2=x^3-x^2-2878x+60352\) 2.3.0.a.1, 210.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[(6, 208)]$
218400.s1 218400.s \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2972208, 1971897912]$ \(y^2=x^3-x^2-2972208x+1971897912\) 2.3.0.a.1, 420.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[ ]$
218400.s2 218400.s \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -225958, 16567912]$ \(y^2=x^3-x^2-225958x+16567912\) 2.3.0.a.1, 210.6.0.?, 520.6.0.?, 2184.6.0.?, 10920.12.0.? $[ ]$
218400.t1 218400.t \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -733, -13163]$ \(y^2=x^3-x^2-733x-13163\) 182.2.0.? $[ ]$
218400.u1 218400.u \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -7658, -254688]$ \(y^2=x^3-x^2-7658x-254688\) 2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.? $[ ]$
218400.u2 218400.u \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4408, -475688]$ \(y^2=x^3-x^2-4408x-475688\) 2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.? $[ ]$
218400.v1 218400.v \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4368, 67032]$ \(y^2=x^3-x^2-4368x+67032\) 2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? $[ ]$
218400.v2 218400.v \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1918, -30968]$ \(y^2=x^3-x^2-1918x-30968\) 2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? $[ ]$
218400.w1 218400.w \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -52485258, -146336104488]$ \(y^2=x^3-x^2-52485258x-146336104488\) 2.3.0.a.1, 104.6.0.?, 210.6.0.?, 10920.12.0.? $[ ]$
218400.w2 218400.w \( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -51936008, -149549216988]$ \(y^2=x^3-x^2-51936008x-149549216988\) 2.3.0.a.1, 104.6.0.?, 420.6.0.?, 10920.12.0.? $[ ]$
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