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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 190 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
330096.a1 330096.a \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.749939196$ $[0, -1, 0, -16575, -573534]$ \(y^2=x^3-x^2-16575x-573534\) 2.3.0.a.1, 26.6.0.b.1, 92.6.0.?, 1196.12.0.? $[(-3007/8, 161345/8)]$
330096.a2 330096.a \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.874969598$ $[0, -1, 0, 44260, -3858624]$ \(y^2=x^3-x^2+44260x-3858624\) 2.3.0.a.1, 46.6.0.a.1, 52.6.0.c.1, 1196.12.0.? $[(5252, 380880)]$
330096.b1 330096.b \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.301330742$ $[0, -1, 0, -876200, 315953616]$ \(y^2=x^3-x^2-876200x+315953616\) 2.3.0.a.1, 92.6.0.?, 312.6.0.?, 7176.12.0.? $[(514, 1058)]$
330096.b2 330096.b \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $0.650665371$ $[0, -1, 0, -50960, 5663376]$ \(y^2=x^3-x^2-50960x+5663376\) 2.3.0.a.1, 46.6.0.a.1, 312.6.0.?, 7176.12.0.? $[(-130, 3174)]$
330096.c1 330096.c \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.852920256$ $[0, -1, 0, -217480, -38963984]$ \(y^2=x^3-x^2-217480x-38963984\) 2.3.0.a.1, 92.6.0.?, 156.6.0.?, 1794.6.0.?, 3588.12.0.? $[(756, 15104)]$
330096.c2 330096.c \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.426460128$ $[0, -1, 0, -210120, -41731344]$ \(y^2=x^3-x^2-210120x-41731344\) 2.3.0.a.1, 46.6.0.a.1, 156.6.0.?, 3588.12.0.? $[(836, 19136)]$
330096.d1 330096.d \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -51024342, 140303301759]$ \(y^2=x^3-x^2-51024342x+140303301759\) 3.4.0.a.1, 78.8.0.?, 276.8.0.?, 3588.16.0.? $[ ]$
330096.d2 330096.d \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -34233882, 234010859019]$ \(y^2=x^3-x^2-34233882x+234010859019\) 3.4.0.a.1, 78.8.0.?, 276.8.0.?, 3588.16.0.? $[ ]$
330096.e1 330096.e \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.701445754$ $[0, -1, 0, 8, -29]$ \(y^2=x^3-x^2+8x-29\) 78.2.0.? $[(39, 241)]$
330096.f1 330096.f \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -42637840304, 3388774988223744]$ \(y^2=x^3-x^2-42637840304x+3388774988223744\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 138.6.0.?, 184.24.0.?, $\ldots$ $[ ]$
330096.f2 330096.f \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2675148944, 52521007913088]$ \(y^2=x^3-x^2-2675148944x+52521007913088\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ $[ ]$
330096.f3 330096.f \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -2664865184, 52950268509504]$ \(y^2=x^3-x^2-2664865184x+52950268509504\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 92.24.0.?, 276.48.0.? $[ ]$
330096.f4 330096.f \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -165911504, 834089722368]$ \(y^2=x^3-x^2-165911504x+834089722368\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ $[ ]$
330096.g1 330096.g \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -91639904, -337624727040]$ \(y^2=x^3-x^2-91639904x-337624727040\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ $[ ]$
330096.g2 330096.g \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -17495264, 21853676544]$ \(y^2=x^3-x^2-17495264x+21853676544\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 138.6.0.?, 184.24.0.?, $\ldots$ $[ ]$
330096.g3 330096.g \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -5814944, -5104502016]$ \(y^2=x^3-x^2-5814944x-5104502016\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 92.24.0.?, 276.48.0.? $[ ]$
330096.g4 330096.g \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 279136, -331618560]$ \(y^2=x^3-x^2+279136x-331618560\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 46.6.0.a.1, 92.24.0.?, $\ldots$ $[ ]$
330096.h1 330096.h \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -196964, 33696144]$ \(y^2=x^3-x^2-196964x+33696144\) 2.3.0.a.1, 52.6.0.c.1, 138.6.0.?, 3588.12.0.? $[ ]$
330096.h2 330096.h \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -14459, 334230]$ \(y^2=x^3-x^2-14459x+334230\) 2.3.0.a.1, 26.6.0.b.1, 276.6.0.?, 3588.12.0.? $[ ]$
330096.i1 330096.i \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/4\Z$ $3.182444916$ $[0, -1, 0, -2365864, 1400708320]$ \(y^2=x^3-x^2-2365864x+1400708320\) 2.3.0.a.1, 4.12.0-4.c.1.1, 92.24.0.?, 104.24.0.?, 2392.48.0.? $[(918, 1274)]$
330096.i2 330096.i \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.182444916$ $[0, -1, 0, -1413664, -637532912]$ \(y^2=x^3-x^2-1413664x-637532912\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ $[(2032, 69828)]$
330096.i3 330096.i \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.364889832$ $[0, -1, 0, -175804, 13086304]$ \(y^2=x^3-x^2-175804x+13086304\) 2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 92.24.0.?, 1196.48.0.? $[(1949, 84084)]$
330096.i4 330096.i \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $12.72977966$ $[0, -1, 0, 38441, 1517074]$ \(y^2=x^3-x^2+38441x+1517074\) 2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 184.24.0.?, 598.6.0.?, $\ldots$ $[(268633/24, 151855165/24)]$
330096.j1 330096.j \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $12.49210895$ $[0, -1, 0, -440304, -112307856]$ \(y^2=x^3-x^2-440304x-112307856\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 104.12.0.?, 156.12.0.?, $\ldots$ $[(219913/11, 94936260/11)]$
330096.j2 330096.j \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.246054476$ $[0, -1, 0, -27684, -1725696]$ \(y^2=x^3-x^2-27684x-1725696\) 2.6.0.a.1, 12.12.0.b.1, 52.12.0.b.1, 92.12.0.?, 156.24.0.?, $\ldots$ $[(1765, 73788)]$
330096.j3 330096.j \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.123027238$ $[0, -1, 0, -3879, 54918]$ \(y^2=x^3-x^2-3879x+54918\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ $[(118/3, 2116/3)]$
330096.j4 330096.j \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.123027238$ $[0, -1, 0, 4056, -5483712]$ \(y^2=x^3-x^2+4056x-5483712\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 92.12.0.?, $\ldots$ $[(182, 1118)]$
330096.k1 330096.k \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/4\Z$ $27.57777340$ $[0, -1, 0, -417692915504, 103904500619554464]$ \(y^2=x^3-x^2-417692915504x+103904500619554464\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 184.48.0.? $[(10753512155709549/169762, 4664987037011401815/169762)]$
330096.k2 330096.k \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $27.57777340$ $[0, -1, 0, -26137991744, 1619310611919648]$ \(y^2=x^3-x^2-26137991744x+1619310611919648\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 92.12.0.?, 184.48.0.? $[(5397486677133/7106, 2451713468017250073/7106)]$
330096.k3 330096.k \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $13.78888670$ $[0, -1, 0, -26105807384, 1623514327042944]$ \(y^2=x^3-x^2-26105807384x+1623514327042944\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 92.24.0.?, 184.48.0.? $[(108418029/34, 10459371351/34)]$
330096.k4 330096.k \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.894443351$ $[0, -1, 0, -1629601604, 25433480219808]$ \(y^2=x^3-x^2-1629601604x+25433480219808\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 46.6.0.a.1, 92.24.0.?, $\ldots$ $[(117773/2, 13801671/2)]$
330096.l1 330096.l \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.721422306$ $[0, -1, 0, -1004, -11460]$ \(y^2=x^3-x^2-1004x-11460\) 2.3.0.a.1, 52.6.0.e.1, 92.6.0.?, 1196.12.0.? $[(37, 26)]$
330096.l2 330096.l \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.442844612$ $[0, -1, 0, 31, -696]$ \(y^2=x^3-x^2+31x-696\) 2.3.0.a.1, 52.6.0.e.1, 92.6.0.?, 598.6.0.?, 1196.12.0.? $[(3320, 191268)]$
330096.m1 330096.m \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.35804771$ $[0, -1, 0, -2429344, 813696064]$ \(y^2=x^3-x^2-2429344x+813696064\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? $[(690306/17, 456492322/17)]$
330096.m2 330096.m \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.179023855$ $[0, -1, 0, 490736, 91852288]$ \(y^2=x^3-x^2+490736x+91852288\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? $[(2136, 104312)]$
330096.n1 330096.n \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 376, -10080]$ \(y^2=x^3-x^2+376x-10080\) 52.2.0.a.1 $[ ]$
330096.o1 330096.o \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.605741969$ $[0, -1, 0, -38264, -2868336]$ \(y^2=x^3-x^2-38264x-2868336\) 24.2.0.b.1 $[(376, 5980)]$
330096.p1 330096.p \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -68946, 7620147]$ \(y^2=x^3-x^2-68946x+7620147\) 78.2.0.? $[ ]$
330096.q1 330096.q \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $2$ $\Z/2\Z$ $4.566899663$ $[0, -1, 0, -268, 1696]$ \(y^2=x^3-x^2-268x+1696\) 2.3.0.a.1, 92.6.0.?, 156.6.0.?, 1794.6.0.?, 3588.12.0.? $[(12, 8), (17, 42)]$
330096.q2 330096.q \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $2$ $\Z/2\Z$ $1.141724915$ $[0, -1, 0, 192, 6480]$ \(y^2=x^3-x^2+192x+6480\) 2.3.0.a.1, 46.6.0.a.1, 156.6.0.?, 3588.12.0.? $[(8, 92), (-2, 78)]$
330096.r1 330096.r \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2380208168, -44695398754704]$ \(y^2=x^3-x^2-2380208168x-44695398754704\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 92.6.0.?, $\ldots$ $[ ]$
330096.r2 330096.r \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -148759208, -698365900176]$ \(y^2=x^3-x^2-148759208x-698365900176\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 46.6.0.a.1, $\ldots$ $[ ]$
330096.r3 330096.r \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -29543768, -60607021200]$ \(y^2=x^3-x^2-29543768x-60607021200\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 92.6.0.?, $\ldots$ $[ ]$
330096.r4 330096.r \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 164872, -2900958864]$ \(y^2=x^3-x^2+164872x-2900958864\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 46.6.0.a.1, $\ldots$ $[ ]$
330096.s1 330096.s \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -14605313528, -619429327254864]$ \(y^2=x^3-x^2-14605313528x-619429327254864\) 2.3.0.a.1, 26.6.0.b.1, 92.6.0.?, 1196.12.0.? $[ ]$
330096.s2 330096.s \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1107806232, -46516410309456]$ \(y^2=x^3-x^2+1107806232x-46516410309456\) 2.3.0.a.1, 46.6.0.a.1, 52.6.0.c.1, 1196.12.0.? $[ ]$
330096.t1 330096.t \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1221108, -506842404]$ \(y^2=x^3-x^2-1221108x-506842404\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? $[ ]$
330096.t2 330096.t \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1213173, -513914076]$ \(y^2=x^3-x^2-1213173x-513914076\) 2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? $[ ]$
330096.u1 330096.u \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $2.388783143$ $[0, -1, 0, -110208, -1649520]$ \(y^2=x^3-x^2-110208x-1649520\) 2.3.0.a.1, 26.6.0.b.1, 92.6.0.?, 1196.12.0.? $[(560, 10580)]$
330096.u2 330096.u \( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) $1$ $\Z/2\Z$ $4.777566286$ $[0, -1, 0, 27332, -219104]$ \(y^2=x^3-x^2+27332x-219104\) 2.3.0.a.1, 46.6.0.a.1, 52.6.0.c.1, 1196.12.0.? $[(333, 6760)]$
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