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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
17160.a1 17160.a \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -25660856, 50041356300]$ \(y^2=x^3-x^2-25660856x+50041356300\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
17160.a2 17160.a \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1746856, 634609900]$ \(y^2=x^3-x^2-1746856x+634609900\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$
17160.a3 17160.a \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1603856, 782243100]$ \(y^2=x^3-x^2-1603856x+782243100\) 2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 88.12.0.?, 156.24.0.?, $\ldots$
17160.a4 17160.a \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -91356, 14498100]$ \(y^2=x^3-x^2-91356x+14498100\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$
17160.b1 17160.b \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -25778136, -50367605364]$ \(y^2=x^3-x^2-25778136x-50367605364\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$
17160.b2 17160.b \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1644136, -752650964]$ \(y^2=x^3-x^2-1644136x-752650964\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
17160.b3 17160.b \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1611136, -786588164]$ \(y^2=x^3-x^2-1611136x-786588164\) 2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 88.12.0.?, 156.24.0.?, $\ldots$
17160.b4 17160.b \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -98636, -12793164]$ \(y^2=x^3-x^2-98636x-12793164\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$
17160.c1 17160.c \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -74743696, 246985407820]$ \(y^2=x^3-x^2-74743696x+246985407820\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
17160.c2 17160.c \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1538696, 8952029820]$ \(y^2=x^3-x^2-1538696x+8952029820\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
17160.d1 17160.d \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $8.171385738$ $[0, -1, 0, -555376, 46600060]$ \(y^2=x^3-x^2-555376x+46600060\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
17160.d2 17160.d \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $4.085692869$ $[0, -1, 0, 132124, 5625060]$ \(y^2=x^3-x^2+132124x+5625060\) 2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.?
17160.e1 17160.e \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $4.394834560$ $[0, -1, 0, -23616, -1343700]$ \(y^2=x^3-x^2-23616x-1343700\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
17160.e2 17160.e \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $2.197417280$ $[0, -1, 0, 584, -75620]$ \(y^2=x^3-x^2+584x-75620\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
17160.f1 17160.f \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.520411732$ $[0, -1, 0, -3576, -81060]$ \(y^2=x^3-x^2-3576x-81060\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 132.12.0.?, $\ldots$
17160.f2 17160.f \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.760205866$ $[0, -1, 0, -276, -540]$ \(y^2=x^3-x^2-276x-540\) 2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0-2.a.1.1, 132.12.0.?, 260.24.0.?, $\ldots$
17160.f3 17160.f \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.520411732$ $[0, -1, 0, -151, 760]$ \(y^2=x^3-x^2-151x+760\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 52.12.0-4.c.1.2, 132.12.0.?, $\ldots$
17160.f4 17160.f \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.520411732$ $[0, -1, 0, 1024, -5220]$ \(y^2=x^3-x^2+1024x-5220\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.1, 260.24.0.?, $\ldots$
17160.g1 17160.g \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -136416, 19282716]$ \(y^2=x^3-x^2-136416x+19282716\) 2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 1144.24.0.?, 3432.48.0.?
17160.g2 17160.g \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -14916, -205884]$ \(y^2=x^3-x^2-14916x-205884\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 572.24.0.?, 1716.48.0.?
17160.g3 17160.g \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -11791, -488384]$ \(y^2=x^3-x^2-11791x-488384\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$
17160.g4 17160.g \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 56584, -1664484]$ \(y^2=x^3-x^2+56584x-1664484\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 286.6.0.?, 572.24.0.?, $\ldots$
17160.h1 17160.h \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -201136, -34657844]$ \(y^2=x^3-x^2-201136x-34657844\) 17160.2.0.?
17160.i1 17160.i \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -35256, 2559756]$ \(y^2=x^3-x^2-35256x+2559756\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
17160.i2 17160.i \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -7976, -229140]$ \(y^2=x^3-x^2-7976x-229140\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$
17160.i3 17160.i \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -2256, 38556]$ \(y^2=x^3-x^2-2256x+38556\) 2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 88.12.0.?, 156.24.0.?, $\ldots$
17160.i4 17160.i \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 164, 2740]$ \(y^2=x^3-x^2+164x+2740\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.2, 78.6.0.?, $\ldots$
17160.j1 17160.j \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $8.687572004$ $[0, -1, 0, -12176, 209676]$ \(y^2=x^3-x^2-12176x+209676\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 572.12.0.?, $\ldots$
17160.j2 17160.j \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.343786002$ $[0, -1, 0, -6456, -195300]$ \(y^2=x^3-x^2-6456x-195300\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 572.12.0.?, $\ldots$
17160.j3 17160.j \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $8.687572004$ $[0, -1, 0, -6436, -196604]$ \(y^2=x^3-x^2-6436x-196604\) 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.?, $\ldots$
17160.j4 17160.j \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $8.687572004$ $[0, -1, 0, -1056, -517140]$ \(y^2=x^3-x^2-1056x-517140\) 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.?, $\ldots$
17160.k1 17160.k \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\mathsf{trivial}$ $0.640556046$ $[0, -1, 0, 2839, 2621085]$ \(y^2=x^3-x^2+2839x+2621085\) 1430.2.0.?
17160.l1 17160.l \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1160, -14820]$ \(y^2=x^3-x^2-1160x-14820\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
17160.l2 17160.l \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -60, -300]$ \(y^2=x^3-x^2-60x-300\) 2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.?
17160.m1 17160.m \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $1.711150146$ $[0, -1, 0, -25800, 1603692]$ \(y^2=x^3-x^2-25800x+1603692\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.?
17160.m2 17160.m \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.855575073$ $[0, -1, 0, -1600, 25852]$ \(y^2=x^3-x^2-1600x+25852\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.?
17160.n1 17160.n \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -129680, -17848500]$ \(y^2=x^3-x^2-129680x-17848500\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 104.48.0.?, 120.48.0.?, $\ldots$
17160.n2 17160.n \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -12680, 75900]$ \(y^2=x^3-x^2-12680x+75900\) 2.6.0.a.1, 4.24.0-4.b.1.1, 88.48.0.?, 104.48.0.?, 120.48.0.?, $\ldots$
17160.n3 17160.n \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/4\Z$ $1$ $[0, -1, 0, -9300, 347652]$ \(y^2=x^3-x^2-9300x+347652\) 2.6.0.a.1, 4.24.0-4.b.1.3, 88.48.0.?, 104.48.0.?, 120.48.0.?, $\ldots$
17160.n4 17160.n \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -9295, 348040]$ \(y^2=x^3-x^2-9295x+348040\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 176.48.0.?, 208.48.0.?, $\ldots$
17160.n5 17160.n \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -6000, 594492]$ \(y^2=x^3-x^2-6000x+594492\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 88.48.0.?, 120.48.0.?, $\ldots$
17160.n6 17160.n \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 50240, 554092]$ \(y^2=x^3-x^2+50240x+554092\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 88.48.0.?, 104.48.0.?, $\ldots$
17160.o1 17160.o \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.625088435$ $[0, 1, 0, -1056, 12240]$ \(y^2=x^3+x^2-1056x+12240\) 2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.?
17160.o2 17160.o \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $1$ $\Z/2\Z$ $0.312544217$ $[0, 1, 0, 44, 800]$ \(y^2=x^3+x^2+44x+800\) 2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.?
17160.p1 17160.p \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -15256, 720224]$ \(y^2=x^3+x^2-15256x+720224\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 220.12.0.?, $\ldots$
17160.p2 17160.p \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -956, 10944]$ \(y^2=x^3+x^2-956x+10944\) 2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 220.12.0.?, $\ldots$
17160.p3 17160.p \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -176, 29040]$ \(y^2=x^3+x^2-176x+29040\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 52.12.0-4.c.1.1, 78.6.0.?, $\ldots$
17160.p4 17160.p \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -111, -210]$ \(y^2=x^3+x^2-111x-210\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 220.12.0.?, $\ldots$
17160.q1 17160.q \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -9536, 264864]$ \(y^2=x^3+x^2-9536x+264864\) 2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?
17160.q2 17160.q \( 2^{3} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 1464, 27264]$ \(y^2=x^3+x^2+1464x+27264\) 2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?
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