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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
52800.a1 52800.a \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.410217884$ $[0, -1, 0, 47, -143]$ \(y^2=x^3-x^2+47x-143\) 132.2.0.?
52800.b1 52800.b \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $2$ $\mathsf{trivial}$ $0.895713794$ $[0, -1, 0, 1167, 15537]$ \(y^2=x^3-x^2+1167x+15537\) 132.2.0.?
52800.c1 52800.c \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -155633, 12889137]$ \(y^2=x^3-x^2-155633x+12889137\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 44.6.0.c.1, $\ldots$
52800.c2 52800.c \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -71633, -7354863]$ \(y^2=x^3-x^2-71633x-7354863\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 44.6.0.c.1, $\ldots$
52800.c3 52800.c \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4133, -132363]$ \(y^2=x^3-x^2-4133x-132363\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.2, $\ldots$
52800.c4 52800.c \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 31867, 1451637]$ \(y^2=x^3-x^2+31867x+1451637\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.10, $\ldots$
52800.d1 52800.d \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.448149579$ $[0, -1, 0, -234433, 43724737]$ \(y^2=x^3-x^2-234433x+43724737\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 88.12.0.?, $\ldots$
52800.d2 52800.d \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.724074789$ $[0, -1, 0, -18433, 308737]$ \(y^2=x^3-x^2-18433x+308737\) 2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$
52800.d3 52800.d \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.448149579$ $[0, -1, 0, -10433, -403263]$ \(y^2=x^3-x^2-10433x-403263\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$
52800.d4 52800.d \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.448149579$ $[0, -1, 0, 69567, 2332737]$ \(y^2=x^3-x^2+69567x+2332737\) 2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.1, $\ldots$
52800.e1 52800.e \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $6.194399658$ $[0, -1, 0, -1056033, -417348063]$ \(y^2=x^3-x^2-1056033x-417348063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 88.24.0.?, $\ldots$
52800.e2 52800.e \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.097199829$ $[0, -1, 0, -66033, -6498063]$ \(y^2=x^3-x^2-66033x-6498063\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 44.12.0.b.1, $\ldots$
52800.e3 52800.e \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $6.194399658$ $[0, -1, 0, -44033, -10920063]$ \(y^2=x^3-x^2-44033x-10920063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 40.24.0-40.z.1.9, $\ldots$
52800.e4 52800.e \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.548599914$ $[0, -1, 0, -5533, -24563]$ \(y^2=x^3-x^2-5533x-24563\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$
52800.f1 52800.f \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.192057968$ $[0, -1, 0, -3152033, 2122175937]$ \(y^2=x^3-x^2-3152033x+2122175937\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.z.1.11, 88.24.0.?, $\ldots$
52800.f2 52800.f \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.596028984$ $[0, -1, 0, -402033, -47574063]$ \(y^2=x^3-x^2-402033x-47574063\) 2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.1, 44.12.0.b.1, $\ldots$
52800.f3 52800.f \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $1.798014492$ $[0, -1, 0, -341533, -76674563]$ \(y^2=x^3-x^2-341533x-76674563\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 10.6.0.a.1, 20.12.0.g.1, $\ldots$
52800.f4 52800.f \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $7.192057968$ $[0, -1, 0, 1379967, -355860063]$ \(y^2=x^3-x^2+1379967x-355860063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 40.24.0-40.z.1.1, $\ldots$
52800.g1 52800.g \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2932649633, -61122719728863]$ \(y^2=x^3-x^2-2932649633x-61122719728863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$
52800.g2 52800.g \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -195497633, -820524016863]$ \(y^2=x^3-x^2-195497633x-820524016863\) 2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 132.12.0.?, $\ldots$
52800.g3 52800.g \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -64425633, 188075023137]$ \(y^2=x^3-x^2-64425633x+188075023137\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 66.6.0.a.1, $\ldots$
52800.g4 52800.g \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 444502367, -5070764016863]$ \(y^2=x^3-x^2+444502367x-5070764016863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$
52800.h1 52800.h \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -161633, -23704863]$ \(y^2=x^3-x^2-161633x-23704863\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$
52800.h2 52800.h \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -29633, 1507137]$ \(y^2=x^3-x^2-29633x+1507137\) 2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 132.12.0.?, $\ldots$
52800.h3 52800.h \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -27633, 1777137]$ \(y^2=x^3-x^2-27633x+1777137\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 66.6.0.a.1, $\ldots$
52800.h4 52800.h \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 70367, 9407137]$ \(y^2=x^3-x^2+70367x+9407137\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$
52800.i1 52800.i \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.212815813$ $[0, -1, 0, -36033, -2616063]$ \(y^2=x^3-x^2-36033x-2616063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$
52800.i2 52800.i \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.606407906$ $[0, -1, 0, -3033, -9063]$ \(y^2=x^3-x^2-3033x-9063\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$
52800.i3 52800.i \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.212815813$ $[0, -1, 0, -1908, 32562]$ \(y^2=x^3-x^2-1908x+32562\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 220.12.0.?, $\ldots$
52800.i4 52800.i \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\Z/2\Z$ $3.212815813$ $[0, -1, 0, 11967, -84063]$ \(y^2=x^3-x^2+11967x-84063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$
52800.j1 52800.j \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -112408, -14468438]$ \(y^2=x^3-x^2-112408x-14468438\) 2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.?
52800.j2 52800.j \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -111033, -14841063]$ \(y^2=x^3-x^2-111033x-14841063\) 2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.?
52800.k1 52800.k \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $4.678627215$ $[0, -1, 0, -5208, 165162]$ \(y^2=x^3-x^2-5208x+165162\) 132.2.0.?
52800.l1 52800.l \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $78.84049813$ $[0, -1, 0, -54503083, -154856263463]$ \(y^2=x^3-x^2-54503083x-154856263463\) 6.2.0.a.1
52800.m1 52800.m \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.853602188$ $[0, -1, 0, -33, 4257]$ \(y^2=x^3-x^2-33x+4257\) 132.2.0.?
52800.n1 52800.n \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $25.26422710$ $[0, -1, 0, -12320833, -17201350463]$ \(y^2=x^3-x^2-12320833x-17201350463\) 132.2.0.?
52800.o1 52800.o \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $3.332609070$ $[0, -1, 0, 72, 162]$ \(y^2=x^3-x^2+72x+162\) 132.2.0.?
52800.p1 52800.p \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $7.112853257$ $[0, -1, 0, 1792, -23838]$ \(y^2=x^3-x^2+1792x-23838\) 132.2.0.?
52800.q1 52800.q \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -492833, 137807937]$ \(y^2=x^3-x^2-492833x+137807937\) 132.2.0.?
52800.r1 52800.r \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -833, -530463]$ \(y^2=x^3-x^2-833x-530463\) 132.2.0.?
52800.s1 52800.s \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $1.031634576$ $[0, -1, 0, -2180123, 1239722157]$ \(y^2=x^3-x^2-2180123x+1239722157\) 6.2.0.a.1
52800.t1 52800.t \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $0.890009574$ $[0, -1, 0, -208, -1238]$ \(y^2=x^3-x^2-208x-1238\) 132.2.0.?
52800.u1 52800.u \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $2$ $\Z/2\Z$ $2.194009010$ $[0, -1, 0, -13133, -573363]$ \(y^2=x^3-x^2-13133x-573363\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.?
52800.u2 52800.u \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $2$ $\Z/2\Z$ $8.776036043$ $[0, -1, 0, -7633, -1062863]$ \(y^2=x^3-x^2-7633x-1062863\) 2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.?
52800.v1 52800.v \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $2$ $\mathsf{trivial}$ $0.585498292$ $[0, -1, 0, -353, 2817]$ \(y^2=x^3-x^2-353x+2817\) 88.2.0.?
52800.w1 52800.w \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -893133, -321729363]$ \(y^2=x^3-x^2-893133x-321729363\) 2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.?
52800.w2 52800.w \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -227633, -790906863]$ \(y^2=x^3-x^2-227633x-790906863\) 2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.?
52800.x1 52800.x \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -801633, 276523137]$ \(y^2=x^3-x^2-801633x+276523137\) 2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?
52800.x2 52800.x \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -797633, 279415137]$ \(y^2=x^3-x^2-797633x+279415137\) 2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?
52800.y1 52800.y \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) $1$ $\mathsf{trivial}$ $2.282481389$ $[0, -1, 0, -36993, 2807937]$ \(y^2=x^3-x^2-36993x+2807937\) 5.12.0.a.1, 40.24.0-5.a.1.3, 88.2.0.?, 110.24.0.?, 440.48.1.?
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