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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 (33 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
5904.a1 5904.a \( 2^{4} \cdot 3^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $0.202780326$ $[0, 0, 0, -99, 386]$ \(y^2=x^3-99x+386\) 984.2.0.? $[(5, 4), (7, 6)]$
5904.b1 5904.b \( 2^{4} \cdot 3^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $0.231226852$ $[0, 0, 0, -219, 4106]$ \(y^2=x^3-219x+4106\) 3.4.0.a.1, 12.8.0-3.a.1.2, 984.16.0.? $[(37, 216), (-11, 72)]$
5904.b2 5904.b \( 2^{4} \cdot 3^{2} \cdot 41 \) $2$ $\mathsf{trivial}$ $0.231226852$ $[0, 0, 0, 1941, -101734]$ \(y^2=x^3+1941x-101734\) 3.4.0.a.1, 12.8.0-3.a.1.1, 984.16.0.? $[(325, 5904), (193/2, 2583/2)]$
5904.c1 5904.c \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $1.634145801$ $[0, 0, 0, -5979, -182774]$ \(y^2=x^3-5979x-182774\) 984.2.0.? $[(93, 256)]$
5904.d1 5904.d \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -5196, -144164]$ \(y^2=x^3-5196x-144164\) 246.2.0.? $[ ]$
5904.e1 5904.e \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -111, 430]$ \(y^2=x^3-111x+430\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 82.6.0.?, 164.24.0.?, $\ldots$ $[ ]$
5904.e2 5904.e \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 69, 1690]$ \(y^2=x^3+69x+1690\) 2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 164.12.0.?, 328.24.0.?, $\ldots$ $[ ]$
5904.f1 5904.f \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -38883, -2951966]$ \(y^2=x^3-38883x-2951966\) 984.2.0.? $[ ]$
5904.g1 5904.g \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $20.33709464$ $[0, 0, 0, -83453043, -293434639054]$ \(y^2=x^3-83453043x-293434639054\) 5.12.0.a.2, 60.24.0-5.a.2.2, 984.2.0.?, 1640.24.0.?, 4920.48.1.? $[(2592914206/131, 131785744843368/131)]$
5904.g2 5904.g \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $4.067418929$ $[0, 0, 0, -25203, -48094414]$ \(y^2=x^3-25203x-48094414\) 5.12.0.a.1, 60.24.0-5.a.1.2, 984.2.0.?, 1640.24.0.?, 4920.48.1.? $[(430, 4536)]$
5904.h1 5904.h \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.450323160$ $[0, 0, 0, 117, 314]$ \(y^2=x^3+117x+314\) 984.2.0.? $[(5, 32)]$
5904.i1 5904.i \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $1.553293570$ $[0, 0, 0, 60, 668]$ \(y^2=x^3+60x+668\) 246.2.0.? $[(1, 27)]$
5904.j1 5904.j \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $0.251279905$ $[0, 0, 0, -120, 556]$ \(y^2=x^3-120x+556\) 246.2.0.? $[(2, 18)]$
5904.k1 5904.k \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1653, 46042]$ \(y^2=x^3+1653x+46042\) 984.2.0.? $[ ]$
5904.l1 5904.l \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1053, -8478]$ \(y^2=x^3+1053x-8478\) 984.2.0.? $[ ]$
5904.m1 5904.m \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\Z/2\Z$ $6.493924791$ $[0, 0, 0, -63219, -6117838]$ \(y^2=x^3-63219x-6117838\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 328.24.0.?, $\ldots$ $[(-7129/7, 5510/7)]$
5904.m2 5904.m \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.246962395$ $[0, 0, 0, -4179, -83950]$ \(y^2=x^3-4179x-83950\) 2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 164.12.0.?, $\ldots$ $[(-25, 70)]$
5904.m3 5904.m \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\Z/2\Z$ $1.623481197$ $[0, 0, 0, -1299, 16850]$ \(y^2=x^3-1299x+16850\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ $[(7, 90)]$
5904.m4 5904.m \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\Z/2\Z$ $1.623481197$ $[0, 0, 0, 8781, -501262]$ \(y^2=x^3+8781x-501262\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ $[(49, 216)]$
5904.n1 5904.n \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -9579, 358810]$ \(y^2=x^3-9579x+358810\) 2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? $[ ]$
5904.n2 5904.n \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3819, 786202]$ \(y^2=x^3-3819x+786202\) 2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? $[ ]$
5904.o1 5904.o \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -65361099, -203388840070]$ \(y^2=x^3-65361099x-203388840070\) 2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? $[ ]$
5904.o2 5904.o \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -65268939, -203990995078]$ \(y^2=x^3-65268939x-203990995078\) 2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? $[ ]$
5904.p1 5904.p \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -3324, 112588]$ \(y^2=x^3-3324x+112588\) 246.2.0.? $[ ]$
5904.q1 5904.q \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\Z/2\Z$ $1.510027913$ $[0, 0, 0, -99, -270]$ \(y^2=x^3-99x-270\) 2.3.0.a.1, 8.6.0.d.1, 82.6.0.?, 328.12.0.? $[(-5, 10)]$
5904.q2 5904.q \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\Z/2\Z$ $0.755013956$ $[0, 0, 0, 261, -1782]$ \(y^2=x^3+261x-1782\) 2.3.0.a.1, 8.6.0.a.1, 164.6.0.?, 328.12.0.? $[(9, 36)]$
5904.r1 5904.r \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 96, 18668]$ \(y^2=x^3+96x+18668\) 246.2.0.? $[ ]$
5904.s1 5904.s \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1659, -25558]$ \(y^2=x^3-1659x-25558\) 2.3.0.a.1, 8.6.0.b.1, 164.6.0.?, 328.12.0.? $[ ]$
5904.s2 5904.s \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -219, 650]$ \(y^2=x^3-219x+650\) 2.3.0.a.1, 8.6.0.c.1, 82.6.0.?, 328.12.0.? $[ ]$
5904.t1 5904.t \( 2^{4} \cdot 3^{2} \cdot 41 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 96, -848]$ \(y^2=x^3+96x-848\) 246.2.0.? $[ ]$
5904.u1 5904.u \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $2.434700438$ $[0, 0, 0, -891, -10422]$ \(y^2=x^3-891x-10422\) 984.2.0.? $[(42, 162)]$
5904.v1 5904.v \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $2.173314482$ $[0, 0, 0, -1488, 23600]$ \(y^2=x^3-1488x+23600\) 5.12.0.a.1, 60.24.0-5.a.1.2, 246.2.0.?, 820.24.0.?, 1230.24.1.?, $\ldots$ $[(25, 45)]$
5904.v2 5904.v \( 2^{4} \cdot 3^{2} \cdot 41 \) $1$ $\mathsf{trivial}$ $10.86657241$ $[0, 0, 0, 2832, -1548880]$ \(y^2=x^3+2832x-1548880\) 5.12.0.a.2, 60.24.0-5.a.2.2, 246.2.0.?, 820.24.0.?, 1230.24.1.?, $\ldots$ $[(148465/11, 57235095/11)]$
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