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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 60 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
5280.a1 5280.a \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $3.391884594$ $[0, -1, 0, -3176, 69960]$ \(y^2=x^3-x^2-3176x+69960\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ $[(49, 172)]$
5280.a2 5280.a \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $3.391884594$ $[0, -1, 0, -881, -8799]$ \(y^2=x^3-x^2-881x-8799\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.1, 60.24.0-60.h.1.2, $\ldots$ $[(43, 176)]$
5280.a3 5280.a \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.695942297$ $[0, -1, 0, -206, 1056]$ \(y^2=x^3-x^2-206x+1056\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 88.12.0.?, $\ldots$ $[(-5, 44)]$
5280.a4 5280.a \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $3.391884594$ $[0, -1, 0, 344, 5236]$ \(y^2=x^3-x^2+344x+5236\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 88.12.0.?, $\ldots$ $[(5, 84)]$
5280.b1 5280.b \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $4.681983286$ $[0, -1, 0, -2936, -60264]$ \(y^2=x^3-x^2-2936x-60264\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 88.24.0.?, 264.48.0.? $[(293, 4914)]$
5280.b2 5280.b \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/4\Z$ $1.170495821$ $[0, -1, 0, -561, 4161]$ \(y^2=x^3-x^2-561x+4161\) 2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? $[(1, 60)]$
5280.b3 5280.b \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.340991643$ $[0, -1, 0, -186, -864]$ \(y^2=x^3-x^2-186x-864\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 88.24.0.?, 264.48.0.? $[(18, 36)]$
5280.b4 5280.b \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $4.681983286$ $[0, -1, 0, 144, -3900]$ \(y^2=x^3-x^2+144x-3900\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ $[(61/2, 321/2)]$
5280.c1 5280.c \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $1.374169287$ $[0, -1, 0, -65, 177]$ \(y^2=x^3-x^2-65x+177\) 2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? $[(7, 4)]$
5280.c2 5280.c \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.687084643$ $[0, -1, 0, 10, 12]$ \(y^2=x^3-x^2+10x+12\) 2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? $[(2, 6)]$
5280.d1 5280.d \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -56545, 5176465]$ \(y^2=x^3-x^2-56545x+5176465\) 2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? $[ ]$
5280.d2 5280.d \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1870, 157300]$ \(y^2=x^3-x^2-1870x+157300\) 2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? $[ ]$
5280.e1 5280.e \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -15840, 772632]$ \(y^2=x^3-x^2-15840x+772632\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 220.12.0.?, $\ldots$ $[ ]$
5280.e2 5280.e \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1265, 5217]$ \(y^2=x^3-x^2-1265x+5217\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 220.24.0.?, 1320.48.0.? $[ ]$
5280.e3 5280.e \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -990, 12312]$ \(y^2=x^3-x^2-990x+12312\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 220.24.0.?, 1320.48.0.? $[ ]$
5280.e4 5280.e \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -720, 18900]$ \(y^2=x^3-x^2-720x+18900\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 440.24.0.?, 1320.48.0.? $[ ]$
5280.f1 5280.f \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $1.911991576$ $[0, -1, 0, -8875520, 10180403400]$ \(y^2=x^3-x^2-8875520x+10180403400\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 44.12.0-4.c.1.1, 88.48.0.? $[(1725, 330)]$
5280.f2 5280.f \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.477997894$ $[0, -1, 0, -1095825, -197048223]$ \(y^2=x^3-x^2-1095825x-197048223\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 44.24.0-44.h.1.1, 88.48.0.? $[(-816, 12375)]$
5280.f3 5280.f \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.955995788$ $[0, -1, 0, -556770, 157973400]$ \(y^2=x^3-x^2-556770x+157973400\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 44.24.0-44.a.1.2, 88.48.0.? $[(515, 2750)]$
5280.f4 5280.f \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/4\Z$ $1.911991576$ $[0, -1, 0, -50520, 433980900]$ \(y^2=x^3-x^2-50520x+433980900\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 88.48.0.? $[(-295, 20570)]$
5280.g1 5280.g \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.874804183$ $[0, -1, 0, -385, 3025]$ \(y^2=x^3-x^2-385x+3025\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? $[(0, 55)]$
5280.g2 5280.g \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.437402091$ $[0, -1, 0, -10, 100]$ \(y^2=x^3-x^2-10x+100\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? $[(0, 10)]$
5280.h1 5280.h \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $5.757865271$ $[0, -1, 0, -808225, -279396623]$ \(y^2=x^3-x^2-808225x-279396623\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? $[(1599, 50140)]$
5280.h2 5280.h \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $2.878932635$ $[0, -1, 0, -48850, -4654748]$ \(y^2=x^3-x^2-48850x-4654748\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? $[(384, 5750)]$
5280.i1 5280.i \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -360, -2508]$ \(y^2=x^3-x^2-360x-2508\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.5, 44.12.0-4.c.1.2, $\ldots$ $[ ]$
5280.i2 5280.i \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -305, 2145]$ \(y^2=x^3-x^2-305x+2145\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 44.12.0-4.c.1.1, $\ldots$ $[ ]$
5280.i3 5280.i \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -30, 0]$ \(y^2=x^3-x^2-30x\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 44.12.0-2.a.1.1, 120.24.0.?, $\ldots$ $[ ]$
5280.i4 5280.i \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 120, -120]$ \(y^2=x^3-x^2+120x-120\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.1, 88.12.0.?, $\ldots$ $[ ]$
5280.j1 5280.j \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -17985, -922383]$ \(y^2=x^3-x^2-17985x-922383\) 2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? $[ ]$
5280.j2 5280.j \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1110, -14508]$ \(y^2=x^3-x^2-1110x-14508\) 2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? $[ ]$
5280.k1 5280.k \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -2936, 60264]$ \(y^2=x^3+x^2-2936x+60264\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 88.24.0.?, 264.48.0.? $[ ]$
5280.k2 5280.k \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -561, -4161]$ \(y^2=x^3+x^2-561x-4161\) 2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? $[ ]$
5280.k3 5280.k \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -186, 864]$ \(y^2=x^3+x^2-186x+864\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 88.24.0.?, 264.48.0.? $[ ]$
5280.k4 5280.k \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 144, 3900]$ \(y^2=x^3+x^2+144x+3900\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ $[ ]$
5280.l1 5280.l \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $2.262043585$ $[0, 1, 0, -3176, -69960]$ \(y^2=x^3+x^2-3176x-69960\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ $[(67, 150)]$
5280.l2 5280.l \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.565510896$ $[0, 1, 0, -881, 8799]$ \(y^2=x^3+x^2-881x+8799\) 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, $\ldots$ $[(10, 33)]$
5280.l3 5280.l \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.131021792$ $[0, 1, 0, -206, -1056]$ \(y^2=x^3+x^2-206x-1056\) 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, 88.12.0.?, $\ldots$ $[(-8, 12)]$
5280.l4 5280.l \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $2.262043585$ $[0, 1, 0, 344, -5236]$ \(y^2=x^3+x^2+344x-5236\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 88.12.0.?, $\ldots$ $[(47, 342)]$
5280.m1 5280.m \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -360, 2508]$ \(y^2=x^3+x^2-360x+2508\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, $\ldots$ $[ ]$
5280.m2 5280.m \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -305, -2145]$ \(y^2=x^3+x^2-305x-2145\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 44.12.0-4.c.1.2, $\ldots$ $[ ]$
5280.m3 5280.m \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -30, 0]$ \(y^2=x^3+x^2-30x\) 2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 44.12.0-2.a.1.1, 120.24.0.?, $\ldots$ $[ ]$
5280.m4 5280.m \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 120, 120]$ \(y^2=x^3+x^2+120x+120\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.2, 88.12.0.?, $\ldots$ $[ ]$
5280.n1 5280.n \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.383058179$ $[0, 1, 0, -17985, 922383]$ \(y^2=x^3+x^2-17985x+922383\) 2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? $[(81, 60)]$
5280.n2 5280.n \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.191529089$ $[0, 1, 0, -1110, 14508]$ \(y^2=x^3+x^2-1110x+14508\) 2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? $[(6, 90)]$
5280.o1 5280.o \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $2.103658430$ $[0, 1, 0, -385, -3025]$ \(y^2=x^3+x^2-385x-3025\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? $[(25, 60)]$
5280.o2 5280.o \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $1.051829215$ $[0, 1, 0, -10, -100]$ \(y^2=x^3+x^2-10x-100\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? $[(10, 30)]$
5280.p1 5280.p \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.172008692$ $[0, 1, 0, -808225, 279396623]$ \(y^2=x^3+x^2-808225x+279396623\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? $[(506, 495)]$
5280.p2 5280.p \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $1$ $\Z/2\Z$ $0.086004346$ $[0, 1, 0, -48850, 4654748]$ \(y^2=x^3+x^2-48850x+4654748\) 2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? $[(-124, 2970)]$
5280.q1 5280.q \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -15840, -772632]$ \(y^2=x^3+x^2-15840x-772632\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 220.12.0.?, $\ldots$ $[ ]$
5280.q2 5280.q \( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -1265, -5217]$ \(y^2=x^3+x^2-1265x-5217\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 220.24.0.?, 1320.48.0.? $[ ]$
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