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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 180 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
183360.a1 183360.a \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $2.023768558$ $[0, -1, 0, -48261, 4066461]$ \(y^2=x^3-x^2-48261x+4066461\) 1146.2.0.? $[(116, 125)]$
183360.b1 183360.b \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\mathsf{trivial}$ $4.253089422$ $[0, -1, 0, -21, -45]$ \(y^2=x^3-x^2-21x-45\) 1910.2.0.? $[(6, 3), (14, 47)]$
183360.c1 183360.c \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $2.667924394$ $[0, -1, 0, -836, 9390]$ \(y^2=x^3-x^2-836x+9390\) 2.3.0.a.1, 12.6.0.a.1, 764.6.0.?, 2292.12.0.? $[(19, 2)]$
183360.c2 183360.c \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $1.333962197$ $[0, -1, 0, 119, 28681]$ \(y^2=x^3-x^2+119x+28681\) 2.3.0.a.1, 12.6.0.b.1, 382.6.0.?, 2292.12.0.? $[(25, 216)]$
183360.d1 183360.d \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -202881, 36151425]$ \(y^2=x^3-x^2-202881x+36151425\) 22920.2.0.? $[ ]$
183360.e1 183360.e \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 9759, 2061441]$ \(y^2=x^3-x^2+9759x+2061441\) 22920.2.0.? $[ ]$
183360.f1 183360.f \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $10.89966688$ $[0, -1, 0, -57301, -5261555]$ \(y^2=x^3-x^2-57301x-5261555\) 3.4.0.a.1, 24.8.0-3.a.1.1, 1910.2.0.?, 5730.8.0.?, 22920.16.0.? $[(66781/14, 10503753/14)]$
183360.f2 183360.f \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $3.633222295$ $[0, -1, 0, 299, -25715]$ \(y^2=x^3-x^2+299x-25715\) 3.4.0.a.1, 24.8.0-3.a.1.2, 1910.2.0.?, 5730.8.0.?, 22920.16.0.? $[(109/2, 351/2)]$
183360.g1 183360.g \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $6.814741750$ $[0, -1, 0, -1011, -12375]$ \(y^2=x^3-x^2-1011x-12375\) 1910.2.0.? $[(9561/16, 97443/16)]$
183360.h1 183360.h \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $13.52659329$ $[0, -1, 0, -815041, -282944159]$ \(y^2=x^3-x^2-815041x-282944159\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 1528.48.0.? $[(-21679535/204, 31178161/204)]$
183360.h2 183360.h \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/4\Z$ $3.381648324$ $[0, -1, 0, -87041, 2644641]$ \(y^2=x^3-x^2-87041x+2644641\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 1528.48.0.? $[(-299, 1360)]$
183360.h3 183360.h \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.763296649$ $[0, -1, 0, -51041, -4389759]$ \(y^2=x^3-x^2-51041x-4389759\) 2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 764.24.0.?, 1528.48.0.? $[(5063, 359856)]$
183360.h4 183360.h \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $3.381648324$ $[0, -1, 0, -1041, -159759]$ \(y^2=x^3-x^2-1041x-159759\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 382.6.0.?, 764.12.0.?, $\ldots$ $[(63, 144)]$
183360.i1 183360.i \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -981, 10125]$ \(y^2=x^3-x^2-981x+10125\) 1146.2.0.? $[ ]$
183360.j1 183360.j \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -26590721, -52767370335]$ \(y^2=x^3-x^2-26590721x-52767370335\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0.h.1, 120.24.0.?, $\ldots$ $[ ]$
183360.j2 183360.j \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1707521, -776412255]$ \(y^2=x^3-x^2-1707521x-776412255\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, 764.12.0.?, $\ldots$ $[ ]$
183360.j3 183360.j \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -396801, 83157921]$ \(y^2=x^3-x^2-396801x+83157921\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 1528.24.0.?, $\ldots$ $[ ]$
183360.j4 183360.j \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 2204159, -3818916959]$ \(y^2=x^3-x^2+2204159x-3818916959\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 382.6.0.?, $\ldots$ $[ ]$
183360.k1 183360.k \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -26401, -1173599]$ \(y^2=x^3-x^2-26401x-1173599\) 2.3.0.a.1, 24.6.0.a.1, 764.6.0.?, 4584.12.0.? $[ ]$
183360.k2 183360.k \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 4319, -122975]$ \(y^2=x^3-x^2+4319x-122975\) 2.3.0.a.1, 24.6.0.d.1, 382.6.0.?, 4584.12.0.? $[ ]$
183360.l1 183360.l \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -646181, 200145981]$ \(y^2=x^3-x^2-646181x+200145981\) 1146.2.0.? $[ ]$
183360.m1 183360.m \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -11361, 385281]$ \(y^2=x^3-x^2-11361x+385281\) 2.3.0.a.1, 40.6.0.b.1, 764.6.0.?, 7640.12.0.? $[ ]$
183360.m2 183360.m \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1439, 34561]$ \(y^2=x^3-x^2+1439x+34561\) 2.3.0.a.1, 40.6.0.c.1, 382.6.0.?, 7640.12.0.? $[ ]$
183360.n1 183360.n \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $13.61708414$ $[0, -1, 0, -5381, -150819]$ \(y^2=x^3-x^2-5381x-150819\) 1910.2.0.? $[(1331333/46, 1523962749/46)]$
183360.o1 183360.o \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1556, -22974]$ \(y^2=x^3-x^2-1556x-22974\) 2.3.0.a.1, 60.6.0.a.1, 764.6.0.?, 11460.12.0.? $[ ]$
183360.o2 183360.o \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -601, -51815]$ \(y^2=x^3-x^2-601x-51815\) 2.3.0.a.1, 60.6.0.b.1, 382.6.0.?, 11460.12.0.? $[ ]$
183360.p1 183360.p \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $13.17697256$ $[0, -1, 0, -880961, 318553665]$ \(y^2=x^3-x^2-880961x+318553665\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$ $[(533416/5, 389202289/5)]$
183360.p2 183360.p \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $13.17697256$ $[0, -1, 0, -163841, -19413759]$ \(y^2=x^3-x^2-163841x-19413759\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ $[(1045171/7, 1068297460/7)]$
183360.p3 183360.p \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.588486281$ $[0, -1, 0, -55841, 4843041]$ \(y^2=x^3-x^2-55841x+4843041\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 764.12.0.?, $\ldots$ $[(21329, 3114720)]$
183360.p4 183360.p \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $3.294243140$ $[0, -1, 0, 2479, 305745]$ \(y^2=x^3-x^2+2479x+305745\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 382.6.0.?, $\ldots$ $[(43, 700)]$
183360.q1 183360.q \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -321, -5055]$ \(y^2=x^3-x^2-321x-5055\) 22920.2.0.? $[ ]$
183360.r1 183360.r \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $6.151963057$ $[0, -1, 0, 1209, -15759]$ \(y^2=x^3-x^2+1209x-15759\) 1910.2.0.? $[(741/2, 20445/2)]$
183360.s1 183360.s \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\Z/2\Z$ $3.724285445$ $[0, -1, 0, -15745, 765025]$ \(y^2=x^3-x^2-15745x+765025\) 2.3.0.a.1, 120.6.0.?, 764.6.0.?, 22920.12.0.? $[(75, 20), (80, 105)]$
183360.s2 183360.s \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\Z/2\Z$ $0.931071361$ $[0, -1, 0, -745, 18025]$ \(y^2=x^3-x^2-745x+18025\) 2.3.0.a.1, 120.6.0.?, 382.6.0.?, 22920.12.0.? $[(15, 100), (5, 120)]$
183360.t1 183360.t \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3592385, -2619582783]$ \(y^2=x^3-x^2-3592385x-2619582783\) 3.4.0.a.1, 24.8.0-3.a.1.1, 11460.8.0.?, 22920.16.0.? $[ ]$
183360.t2 183360.t \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -15425, -8184255]$ \(y^2=x^3-x^2-15425x-8184255\) 3.4.0.a.1, 24.8.0-3.a.1.2, 11460.8.0.?, 22920.16.0.? $[ ]$
183360.u1 183360.u \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $2.134576156$ $[0, -1, 0, -64705, 1977025]$ \(y^2=x^3-x^2-64705x+1977025\) 2.3.0.a.1, 40.6.0.b.1, 764.6.0.?, 7640.12.0.? $[(355, 4860)]$
183360.u2 183360.u \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $1.067288078$ $[0, -1, 0, 15295, 233025]$ \(y^2=x^3-x^2+15295x+233025\) 2.3.0.a.1, 40.6.0.c.1, 382.6.0.?, 7640.12.0.? $[(35, 900)]$
183360.v1 183360.v \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\Z/2\Z$ $14.07388069$ $[0, -1, 0, -8294145, 9196787457]$ \(y^2=x^3-x^2-8294145x+9196787457\) 2.3.0.a.1, 12.6.0.a.1, 764.6.0.?, 2292.12.0.? $[(1664, 65), (2239, 42960)]$
183360.v2 183360.v \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\Z/2\Z$ $3.518470174$ $[0, -1, 0, -518145, 143968257]$ \(y^2=x^3-x^2-518145x+143968257\) 2.3.0.a.1, 12.6.0.b.1, 382.6.0.?, 2292.12.0.? $[(384, 1215), (-191, 15360)]$
183360.w1 183360.w \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -43485, -3475395]$ \(y^2=x^3-x^2-43485x-3475395\) 2.3.0.a.1, 10.6.0.a.1, 764.6.0.?, 3820.12.0.? $[ ]$
183360.w2 183360.w \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -39665, -4114863]$ \(y^2=x^3-x^2-39665x-4114863\) 2.3.0.a.1, 20.6.0.c.1, 382.6.0.?, 3820.12.0.? $[ ]$
183360.x1 183360.x \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\mathsf{trivial}$ $0.400279838$ $[0, -1, 0, -5835, 173517]$ \(y^2=x^3-x^2-5835x+173517\) 1146.2.0.? $[(44, 5)]$
183360.y1 183360.y \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -50945, -4408575]$ \(y^2=x^3-x^2-50945x-4408575\) 2.3.0.a.1, 24.6.0.a.1, 764.6.0.?, 4584.12.0.? $[ ]$
183360.y2 183360.y \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2945, -78975]$ \(y^2=x^3-x^2-2945x-78975\) 2.3.0.a.1, 24.6.0.d.1, 382.6.0.?, 4584.12.0.? $[ ]$
183360.z1 183360.z \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 695779455, 5592287659905]$ \(y^2=x^3-x^2+695779455x+5592287659905\) 22920.2.0.? $[ ]$
183360.ba1 183360.ba \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $3.551313025$ $[0, -1, 0, -1665, -23103]$ \(y^2=x^3-x^2-1665x-23103\) 2.3.0.a.1, 40.6.0.b.1, 764.6.0.?, 7640.12.0.? $[(47, 16)]$
183360.ba2 183360.ba \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $1$ $\Z/2\Z$ $1.775656512$ $[0, -1, 0, 135, -1863]$ \(y^2=x^3-x^2+135x-1863\) 2.3.0.a.1, 40.6.0.c.1, 382.6.0.?, 7640.12.0.? $[(27, 144)]$
183360.bb1 183360.bb \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\Z/2\Z$ $6.010758285$ $[0, -1, 0, -12545, 544257]$ \(y^2=x^3-x^2-12545x+544257\) 2.3.0.a.1, 24.6.0.a.1, 764.6.0.?, 4584.12.0.? $[(79, 200), (67, 4)]$
183360.bb2 183360.bb \( 2^{6} \cdot 3 \cdot 5 \cdot 191 \) $2$ $\Z/2\Z$ $1.502689571$ $[0, -1, 0, -545, 13857]$ \(y^2=x^3-x^2-545x+13857\) 2.3.0.a.1, 24.6.0.d.1, 382.6.0.?, 4584.12.0.? $[(-1, 120), (17, 96)]$
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