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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 80 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
26208.a1 26208.a \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.982966015$ $[0, 0, 0, -867, 9830]$ \(y^2=x^3-867x+9830\) 728.2.0.? $[(17, 2)]$
26208.b1 26208.b \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -867, -9830]$ \(y^2=x^3-867x-9830\) 728.2.0.? $[ ]$
26208.c1 26208.c \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $1.517598778$ $[0, 0, 0, -264, -2896]$ \(y^2=x^3-264x-2896\) 182.2.0.? $[(28, 108)]$
26208.d1 26208.d \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.329848763$ $[0, 0, 0, -2244219, 1294189934]$ \(y^2=x^3-2244219x+1294189934\) 2184.2.0.? $[(805, 3042)]$
26208.e1 26208.e \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $2.242633186$ $[0, 0, 0, 2661, -20914]$ \(y^2=x^3+2661x-20914\) 2184.2.0.? $[(13, 126)]$
26208.f1 26208.f \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $1.568909195$ $[0, 0, 0, 2661, 20914]$ \(y^2=x^3+2661x+20914\) 2184.2.0.? $[(2, 162)]$
26208.g1 26208.g \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $3.114820811$ $[0, 0, 0, -2244219, -1294189934]$ \(y^2=x^3-2244219x-1294189934\) 2184.2.0.? $[(1730, 1014)]$
26208.h1 26208.h \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.838724540$ $[0, 0, 0, -264, 2896]$ \(y^2=x^3-264x+2896\) 182.2.0.? $[(8, 36)]$
26208.i1 26208.i \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $2.910827331$ $[0, 0, 0, -4476, 115040]$ \(y^2=x^3-4476x+115040\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 156.12.0.?, $\ldots$ $[(13, 243), (37, 9)]$
26208.i2 26208.i \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $2.910827331$ $[0, 0, 0, -3891, -92986]$ \(y^2=x^3-3891x-92986\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 156.12.0.?, 168.24.0.?, $\ldots$ $[(-35, 18), (-34, 2)]$
26208.i3 26208.i \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $2.910827331$ $[0, 0, 0, -381, 380]$ \(y^2=x^3-381x+380\) 2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 168.24.0.?, $\ldots$ $[(-8, 54), (-13, 56)]$
26208.i4 26208.i \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $11.64330932$ $[0, 0, 0, 1509, 3026]$ \(y^2=x^3+1509x+3026\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$ $[(34, 306), (14, 164)]$
26208.j1 26208.j \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1314291, 579943114]$ \(y^2=x^3-1314291x+579943114\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ $[ ]$
26208.j2 26208.j \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -135516, -4087424]$ \(y^2=x^3-135516x-4087424\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ $[ ]$
26208.j3 26208.j \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -82281, 9029680]$ \(y^2=x^3-82281x+9029680\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 28.12.0.a.1, $\ldots$ $[ ]$
26208.j4 26208.j \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -31251, 20103190]$ \(y^2=x^3-31251x+20103190\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 56.24.0.bt.1, $\ldots$ $[ ]$
26208.k1 26208.k \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $0.563875341$ $[0, 0, 0, -738156, 244101440]$ \(y^2=x^3-738156x+244101440\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[(493, 117)]$
26208.k2 26208.k \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $0.281937670$ $[0, 0, 0, -46101, 3819944]$ \(y^2=x^3-46101x+3819944\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[(25, 1638)]$
26208.l1 26208.l \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4494636, 3667667040]$ \(y^2=x^3-4494636x+3667667040\) 2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? $[ ]$
26208.l2 26208.l \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -280881, 57321756]$ \(y^2=x^3-280881x+57321756\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? $[ ]$
26208.m1 26208.m \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, 0, 0, -18651, 978014]$ \(y^2=x^3-18651x+978014\) 2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$ $[ ]$
26208.m2 26208.m \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -17436, -882880]$ \(y^2=x^3-17436x-882880\) 2.3.0.a.1, 4.12.0-4.c.1.2, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ $[ ]$
26208.m3 26208.m \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -1641, 1640]$ \(y^2=x^3-1641x+1640\) 2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ $[ ]$
26208.m4 26208.m \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 6549, 13106]$ \(y^2=x^3+6549x+13106\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
26208.n1 26208.n \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $5.036642606$ $[0, 0, 0, -18651, -978014]$ \(y^2=x^3-18651x-978014\) 2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$ $[(-303/2, 95/2)]$
26208.n2 26208.n \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/4\Z$ $1.259160651$ $[0, 0, 0, -17436, 882880]$ \(y^2=x^3-17436x+882880\) 2.3.0.a.1, 4.12.0-4.c.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ $[(66, 140)]$
26208.n3 26208.n \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.518321303$ $[0, 0, 0, -1641, -1640]$ \(y^2=x^3-1641x-1640\) 2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ $[(-15, 140)]$
26208.n4 26208.n \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $5.036642606$ $[0, 0, 0, 6549, -13106]$ \(y^2=x^3+6549x-13106\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 168.24.0.?, $\ldots$ $[(102, 1310)]$
26208.o1 26208.o \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4494636, -3667667040]$ \(y^2=x^3-4494636x-3667667040\) 2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? $[ ]$
26208.o2 26208.o \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -280881, -57321756]$ \(y^2=x^3-280881x-57321756\) 2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? $[ ]$
26208.p1 26208.p \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.399689692$ $[0, 0, 0, -1314291, -579943114]$ \(y^2=x^3-1314291x-579943114\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ $[(1865, 58786)]$
26208.p2 26208.p \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $4.399689692$ $[0, 0, 0, -135516, 4087424]$ \(y^2=x^3-135516x+4087424\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$ $[(-236, 4788)]$
26208.p3 26208.p \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.799379385$ $[0, 0, 0, -82281, -9029680]$ \(y^2=x^3-82281x-9029680\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 28.12.0.a.1, $\ldots$ $[(-31247/14, 520353/14)]$
26208.p4 26208.p \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\Z/2\Z$ $17.59875877$ $[0, 0, 0, -31251, -20103190]$ \(y^2=x^3-31251x-20103190\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 56.24.0.bt.1, $\ldots$ $[(121660849/238, 1335999134385/238)]$
26208.q1 26208.q \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -738156, -244101440]$ \(y^2=x^3-738156x-244101440\) 2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? $[ ]$
26208.q2 26208.q \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -46101, -3819944]$ \(y^2=x^3-46101x-3819944\) 2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? $[ ]$
26208.r1 26208.r \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -4476, -115040]$ \(y^2=x^3-4476x-115040\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 156.12.0.?, $\ldots$ $[ ]$
26208.r2 26208.r \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3891, 92986]$ \(y^2=x^3-3891x+92986\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 156.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
26208.r3 26208.r \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -381, -380]$ \(y^2=x^3-381x-380\) 2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
26208.r4 26208.r \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 1509, -3026]$ \(y^2=x^3+1509x-3026\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$ $[ ]$
26208.s1 26208.s \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $1.609509508$ $[0, 0, 0, -3, -54]$ \(y^2=x^3-3x-54\) 2184.2.0.? $[(6, 12)]$
26208.t1 26208.t \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.632858451$ $[0, 0, 0, -3, 54]$ \(y^2=x^3-3x+54\) 2184.2.0.? $[(-3, 6)]$
26208.u1 26208.u \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $2.440221998$ $[0, 0, 0, -56460, 5163104]$ \(y^2=x^3-56460x+5163104\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[(88, 936), (140, 52)]$
26208.u2 26208.u \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $2$ $\Z/2\Z$ $0.610055499$ $[0, 0, 0, -3225, 95132]$ \(y^2=x^3-3225x+95132\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[(88, 702), (49, 234)]$
26208.v1 26208.v \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 5685, 68434]$ \(y^2=x^3+5685x+68434\) 728.2.0.? $[ ]$
26208.w1 26208.w \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.438031568$ $[0, 0, 0, 5685, -68434]$ \(y^2=x^3+5685x-68434\) 728.2.0.? $[(17, 182)]$
26208.x1 26208.x \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -56460, -5163104]$ \(y^2=x^3-56460x-5163104\) 2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? $[ ]$
26208.x2 26208.x \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3225, -95132]$ \(y^2=x^3-3225x-95132\) 2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? $[ ]$
26208.y1 26208.y \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -114267, -17675278]$ \(y^2=x^3-114267x-17675278\) 2184.2.0.? $[ ]$
26208.z1 26208.z \( 2^{5} \cdot 3^{2} \cdot 7 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 4488, 14128]$ \(y^2=x^3+4488x+14128\) 182.2.0.? $[ ]$
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