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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
51600.a1 51600.a \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 992, 32512]$ \(y^2=x^3-x^2+992x+32512\) 516.2.0.?
51600.b1 51600.b \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\mathsf{trivial}$ $0.297715084$ $[0, -1, 0, -128, 1152]$ \(y^2=x^3-x^2-128x+1152\) 1720.2.0.?
51600.c1 51600.c \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $11.37623653$ $[0, -1, 0, -192833, -35072088]$ \(y^2=x^3-x^2-192833x-35072088\) 86.2.0.?
51600.d1 51600.d \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -66310408, 207857731312]$ \(y^2=x^3-x^2-66310408x+207857731312\) 2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?
51600.d2 51600.d \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -4102408, 3317827312]$ \(y^2=x^3-x^2-4102408x+3317827312\) 2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?
51600.e1 51600.e \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1033, -15563]$ \(y^2=x^3-x^2-1033x-15563\) 86.2.0.?
51600.f1 51600.f \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1608, 94032]$ \(y^2=x^3-x^2-1608x+94032\) 1032.2.0.?
51600.g1 51600.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\Z/2\Z$ $3.263598241$ $[0, -1, 0, -1134208, -378073088]$ \(y^2=x^3-x^2-1134208x-378073088\) 2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.?
51600.g2 51600.g \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\Z/2\Z$ $13.05439296$ $[0, -1, 0, 145792, -35033088]$ \(y^2=x^3-x^2+145792x-35033088\) 2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?
51600.h1 51600.h \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 9988741967, -312100414164563]$ \(y^2=x^3-x^2+9988741967x-312100414164563\) 86.2.0.?
51600.i1 51600.i \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\mathsf{trivial}$ $0.896009226$ $[0, -1, 0, -5094208, 4427206912]$ \(y^2=x^3-x^2-5094208x+4427206912\) 86.2.0.?
51600.j1 51600.j \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\mathsf{trivial}$ $0.879991412$ $[0, -1, 0, 667, 6537]$ \(y^2=x^3-x^2+667x+6537\) 86.2.0.?
51600.k1 51600.k \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $1.470315434$ $[0, -1, 0, -3, -18]$ \(y^2=x^3-x^2-3x-18\) 86.2.0.?
51600.l1 51600.l \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $2.966071450$ $[0, -1, 0, -35733, 2612637]$ \(y^2=x^3-x^2-35733x+2612637\) 3.4.0.a.1, 12.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 516.16.0.?
51600.l2 51600.l \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $0.988690483$ $[0, -1, 0, 267, 13437]$ \(y^2=x^3-x^2+267x+13437\) 3.4.0.a.1, 12.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 516.16.0.?
51600.m1 51600.m \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -2708, -71088]$ \(y^2=x^3-x^2-2708x-71088\) 86.2.0.?
51600.n1 51600.n \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\Z/2\Z$ $0.636926199$ $[0, -1, 0, -6408, 183312]$ \(y^2=x^3-x^2-6408x+183312\) 2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.?
51600.n2 51600.n \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $2$ $\Z/2\Z$ $2.547704797$ $[0, -1, 0, -1408, -16688]$ \(y^2=x^3-x^2-1408x-16688\) 2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.?
51600.o1 51600.o \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $0.868786915$ $[0, -1, 0, -92408, 8775312]$ \(y^2=x^3-x^2-92408x+8775312\) 2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.?
51600.o2 51600.o \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $1.737573831$ $[0, -1, 0, -87408, 9975312]$ \(y^2=x^3-x^2-87408x+9975312\) 2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.?
51600.p1 51600.p \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $12.21442687$ $[0, -1, 0, -10833, -432963]$ \(y^2=x^3-x^2-10833x-432963\) 86.2.0.?
51600.q1 51600.q \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -7733, -260163]$ \(y^2=x^3-x^2-7733x-260163\) 86.2.0.?
51600.r1 51600.r \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $11.85944091$ $[0, -1, 0, 1096392, -428627088]$ \(y^2=x^3-x^2+1096392x-428627088\) 1032.2.0.?
51600.s1 51600.s \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $2.607900609$ $[0, -1, 0, 592, 3312]$ \(y^2=x^3-x^2+592x+3312\) 516.2.0.?
51600.t1 51600.t \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -108, 1212]$ \(y^2=x^3-x^2-108x+1212\) 516.2.0.?
51600.u1 51600.u \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -17649608, -28534422288]$ \(y^2=x^3-x^2-17649608x-28534422288\) 516.2.0.?
51600.v1 51600.v \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -18008, -1705488]$ \(y^2=x^3-x^2-18008x-1705488\) 1720.2.0.?
51600.w1 51600.w \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -61811008, 186593984512]$ \(y^2=x^3-x^2-61811008x+186593984512\) 2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?
51600.w2 51600.w \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -36811008, 338893984512]$ \(y^2=x^3-x^2-36811008x+338893984512\) 2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?
51600.x1 51600.x \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -6712133, -6795441363]$ \(y^2=x^3-x^2-6712133x-6795441363\) 86.2.0.?
51600.y1 51600.y \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $4.722892116$ $[0, -1, 0, -275408, -55538688]$ \(y^2=x^3-x^2-275408x-55538688\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$
51600.y2 51600.y \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/4\Z$ $4.722892116$ $[0, -1, 0, -47408, 2877312]$ \(y^2=x^3-x^2-47408x+2877312\) 2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 1032.24.0.?, 1720.24.0.?, $\ldots$
51600.y3 51600.y \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.361446058$ $[0, -1, 0, -17408, -842688]$ \(y^2=x^3-x^2-17408x-842688\) 2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 516.24.0.?, 860.24.0.?, $\ldots$
51600.y4 51600.y \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $1.180723029$ $[0, -1, 0, 592, -50688]$ \(y^2=x^3-x^2+592x-50688\) 2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 430.6.0.?, 860.24.0.?, $\ldots$
51600.z1 51600.z \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -6208, 100912]$ \(y^2=x^3-x^2-6208x+100912\) 2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?
51600.z2 51600.z \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1292, 10912]$ \(y^2=x^3-x^2+1292x+10912\) 2.3.0.a.1, 60.6.0.b.1, 430.6.0.?, 516.6.0.?, 2580.12.0.?
51600.ba1 51600.ba \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 4167, -303588]$ \(y^2=x^3-x^2+4167x-303588\) 86.2.0.?
51600.bb1 51600.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $7.703160640$ $[0, -1, 0, -213, -1128]$ \(y^2=x^3-x^2-213x-1128\) 2.3.0.a.1, 20.6.0.b.1, 516.6.0.?, 1290.6.0.?, 2580.12.0.?
51600.bb2 51600.bb \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $3.851580320$ $[0, -1, 0, -188, -1428]$ \(y^2=x^3-x^2-188x-1428\) 2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?
51600.bc1 51600.bc \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -203008, 35264512]$ \(y^2=x^3-x^2-203008x+35264512\) 2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?
51600.bc2 51600.bc \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -11008, 704512]$ \(y^2=x^3-x^2-11008x+704512\) 2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?
51600.bd1 51600.bd \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $26.91464264$ $[0, -1, 0, -1397956208, -20117702849088]$ \(y^2=x^3-x^2-1397956208x-20117702849088\) 2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.?
51600.bd2 51600.bd \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $53.82928529$ $[0, -1, 0, -87236208, -315345089088]$ \(y^2=x^3-x^2-87236208x-315345089088\) 2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.?
51600.be1 51600.be \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $0.929790889$ $[0, -1, 0, -1848, -29808]$ \(y^2=x^3-x^2-1848x-29808\) 2.3.0.a.1, 40.6.0.b.1, 344.6.0.?, 860.6.0.?, 1720.12.0.?
51600.be2 51600.be \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\Z/2\Z$ $1.859581778$ $[0, -1, 0, -48, -1008]$ \(y^2=x^3-x^2-48x-1008\) 2.3.0.a.1, 40.6.0.c.1, 344.6.0.?, 430.6.0.?, 1720.12.0.?
51600.bf1 51600.bf \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -908, 9312]$ \(y^2=x^3-x^2-908x+9312\) 2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?
51600.bf2 51600.bf \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1592, 49312]$ \(y^2=x^3-x^2+1592x+49312\) 2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?
51600.bg1 51600.bg \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $1.150406311$ $[0, -1, 0, -3208, -115088]$ \(y^2=x^3-x^2-3208x-115088\) 3.4.0.a.1, 12.8.0-3.a.1.1, 1032.16.0.?
51600.bg2 51600.bg \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $3.451218934$ $[0, -1, 0, 26792, 2044912]$ \(y^2=x^3-x^2+26792x+2044912\) 3.4.0.a.1, 12.8.0-3.a.1.2, 1032.16.0.?
51600.bh1 51600.bh \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \) $1$ $\mathsf{trivial}$ $7.036279143$ $[0, -1, 0, -83208, -122915088]$ \(y^2=x^3-x^2-83208x-122915088\) 1720.2.0.?
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