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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
53040.a1 53040.a \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3292396, 1842013420]$ \(y^2=x^3-x^2-3292396x+1842013420\) 2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.?
53040.a2 53040.a \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3106501, 2108363776]$ \(y^2=x^3-x^2-3106501x+2108363776\) 2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?
53040.b1 53040.b \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/4\Z$ $2.464735517$ $[0, -1, 0, -249696, 48108096]$ \(y^2=x^3-x^2-249696x+48108096\) 2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 136.24.0.?, $\ldots$
53040.b2 53040.b \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $2.464735517$ $[0, -1, 0, -15696, 746496]$ \(y^2=x^3-x^2-15696x+746496\) 2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 68.24.0-68.b.1.2, 884.48.0.?
53040.b3 53040.b \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $0.616183879$ $[0, -1, 0, -2176, -21440]$ \(y^2=x^3-x^2-2176x-21440\) 2.3.0.a.1, 4.12.0-4.c.1.2, 34.6.0.a.1, 68.24.0-68.g.1.1, 104.24.0.?, $\ldots$
53040.b4 53040.b \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $9.858942069$ $[0, -1, 0, 1984, 2316480]$ \(y^2=x^3-x^2+1984x+2316480\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 68.12.0-4.c.1.2, $\ldots$
53040.c1 53040.c \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/4\Z$ $1.589216230$ $[0, -1, 0, -2040056, 1122211200]$ \(y^2=x^3-x^2-2040056x+1122211200\) 2.3.0.a.1, 4.12.0-4.c.1.1, 34.6.0.a.1, 68.24.0-68.g.1.2, 104.24.0.?, $\ldots$
53040.c2 53040.c \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.178432461$ $[0, -1, 0, -127556, 17551200]$ \(y^2=x^3-x^2-127556x+17551200\) 2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 68.24.0-68.b.1.1, 884.48.0.?
53040.c3 53040.c \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $6.356864923$ $[0, -1, 0, -87776, 28657776]$ \(y^2=x^3-x^2-87776x+28657776\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 68.12.0-4.c.1.1, $\ldots$
53040.c4 53040.c \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.589216230$ $[0, -1, 0, -10511, 88086]$ \(y^2=x^3-x^2-10511x+88086\) 2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 136.24.0.?, $\ldots$
53040.d1 53040.d \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $3.892166985$ $[0, -1, 0, -119681, 15976200]$ \(y^2=x^3-x^2-119681x+15976200\) 2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 170.6.0.?, 340.12.0.?, $\ldots$
53040.d2 53040.d \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.946083492$ $[0, -1, 0, -119276, 16089276]$ \(y^2=x^3-x^2-119276x+16089276\) 2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 340.12.0.?, 680.24.0.?, $\ldots$
53040.e1 53040.e \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $4.322925935$ $[0, -1, 0, 1678104, -645544080]$ \(y^2=x^3-x^2+1678104x-645544080\) 26520.2.0.?
53040.f1 53040.f \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $5.133248085$ $[0, -1, 0, -2658136, 1668947440]$ \(y^2=x^3-x^2-2658136x+1668947440\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.48.0-12.f.1.2, $\ldots$
53040.f2 53040.f \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.566624042$ $[0, -1, 0, -2612056, 1729551856]$ \(y^2=x^3-x^2-2612056x+1729551856\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.3, 12.96.0-12.b.1.1, $\ldots$
53040.f3 53040.f \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.711082695$ $[0, -1, 0, -46696, 186736]$ \(y^2=x^3-x^2-46696x+186736\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.48.0-12.f.1.4, $\ldots$
53040.f4 53040.f \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $0.855541347$ $[0, -1, 0, 186584, 1306480]$ \(y^2=x^3-x^2+186584x+1306480\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.1, 12.96.0-12.b.2.3, $\ldots$
53040.g1 53040.g \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -19976, 2265360]$ \(y^2=x^3-x^2-19976x+2265360\) 26520.2.0.?
53040.h1 53040.h \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $6.553033663$ $[0, -1, 0, -1461, -21015]$ \(y^2=x^3-x^2-1461x-21015\) 3.4.0.a.1, 12.8.0-3.a.1.1, 6630.8.0.?, 13260.16.0.?
53040.h2 53040.h \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\mathsf{trivial}$ $2.184344554$ $[0, -1, 0, -501, -48999]$ \(y^2=x^3-x^2-501x-48999\) 3.4.0.a.1, 12.8.0-3.a.1.2, 6630.8.0.?, 13260.16.0.?
53040.i1 53040.i \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 234, -23409]$ \(y^2=x^3-x^2+234x-23409\) 510.2.0.?
53040.j1 53040.j \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $1.869969991$ $[0, -1, 0, -32696, 2286480]$ \(y^2=x^3-x^2-32696x+2286480\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 104.24.0.?, 340.12.0.?, $\ldots$
53040.j2 53040.j \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $1.869969991$ $[0, -1, 0, -2096, 34320]$ \(y^2=x^3-x^2-2096x+34320\) 2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 340.12.0.?, $\ldots$
53040.j3 53040.j \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $7.479879966$ $[0, -1, 0, -476, -3264]$ \(y^2=x^3-x^2-476x-3264\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$
53040.j4 53040.j \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $1.869969991$ $[0, -1, 0, 2584, 161616]$ \(y^2=x^3-x^2+2584x+161616\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$
53040.k1 53040.k \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $2.728778548$ $[0, -1, 0, -23576, 1401216]$ \(y^2=x^3-x^2-23576x+1401216\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, 260.12.0.?, $\ldots$
53040.k2 53040.k \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $2.728778548$ $[0, -1, 0, -2496, -11280]$ \(y^2=x^3-x^2-2496x-11280\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 68.12.0-4.c.1.1, 204.24.0.?, $\ldots$
53040.k3 53040.k \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $2.728778548$ $[0, -1, 0, -1476, 22176]$ \(y^2=x^3-x^2-1476x+22176\) 2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0-2.a.1.1, 204.24.0.?, 260.12.0.?, $\ldots$
53040.k4 53040.k \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $2$ $\Z/2\Z$ $10.91511419$ $[0, -1, 0, -31, 790]$ \(y^2=x^3-x^2-31x+790\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 136.12.0.?, 260.12.0.?, $\ldots$
53040.l1 53040.l \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/4\Z$ $1.336797637$ $[0, -1, 0, -62496, 6034320]$ \(y^2=x^3-x^2-62496x+6034320\) 2.3.0.a.1, 4.12.0-4.c.1.1, 26.6.0.b.1, 52.24.0-52.g.1.2, 136.24.0.?, $\ldots$
53040.l2 53040.l \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.673595274$ $[0, -1, 0, -3996, 90720]$ \(y^2=x^3-x^2-3996x+90720\) 2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 68.24.0-68.a.1.2, 884.48.0.?
53040.l3 53040.l \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $5.347190549$ $[0, -1, 0, -871, -8030]$ \(y^2=x^3-x^2-871x-8030\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 68.12.0-4.c.1.1, $\ldots$
53040.l4 53040.l \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.336797637$ $[0, -1, 0, 4504, 417120]$ \(y^2=x^3-x^2+4504x+417120\) 2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 104.24.0.?, 1768.48.0.?
53040.m1 53040.m \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.594369118$ $[0, -1, 0, -281016, -57158784]$ \(y^2=x^3-x^2-281016x-57158784\) 2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?
53040.m2 53040.m \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $5.188738237$ $[0, -1, 0, -193136, -93646560]$ \(y^2=x^3-x^2-193136x-93646560\) 2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?
53040.n1 53040.n \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $4.269037541$ $[0, -1, 0, -4922936, 4205625456]$ \(y^2=x^3-x^2-4922936x+4205625456\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 68.12.0-4.c.1.2, $\ldots$
53040.n2 53040.n \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $4.269037541$ $[0, -1, 0, -1648056, -763174800]$ \(y^2=x^3-x^2-1648056x-763174800\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$
53040.n3 53040.n \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.134518770$ $[0, -1, 0, -326136, 57473136]$ \(y^2=x^3-x^2-326136x+57473136\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.2, 68.12.0-2.a.1.1, $\ldots$
53040.n4 53040.n \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $4.269037541$ $[0, -1, 0, 43784, 5388400]$ \(y^2=x^3-x^2+43784x+5388400\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, 30.6.0.a.1, $\ldots$
53040.o1 53040.o \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.436878521$ $[0, -1, 0, -2691, 54630]$ \(y^2=x^3-x^2-2691x+54630\) 2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?
53040.o2 53040.o \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $2.873757042$ $[0, -1, 0, -2436, 65136]$ \(y^2=x^3-x^2-2436x+65136\) 2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.?
53040.p1 53040.p \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -3856, -94784]$ \(y^2=x^3-x^2-3856x-94784\) 26520.2.0.?
53040.q1 53040.q \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -2348856, 92595600]$ \(y^2=x^3-x^2-2348856x+92595600\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$
53040.q2 53040.q \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -1557936, -745146864]$ \(y^2=x^3-x^2-1557936x-745146864\) 2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0-2.a.1.1, 104.24.0.?, 340.12.0.?, $\ldots$
53040.q3 53040.q \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1556316, -746781120]$ \(y^2=x^3-x^2-1556316x-746781120\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$
53040.q4 53040.q \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -792936, -1478322864]$ \(y^2=x^3-x^2-792936x-1478322864\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 104.24.0.?, 340.12.0.?, $\ldots$
53040.r1 53040.r \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $1.522902382$ $[0, -1, 0, -11336, -460560]$ \(y^2=x^3-x^2-11336x-460560\) 2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.?
53040.r2 53040.r \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $1$ $\Z/2\Z$ $3.045804764$ $[0, -1, 0, -9256, -636944]$ \(y^2=x^3-x^2-9256x-636944\) 2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.?
53040.s1 53040.s \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -105456000096, 13181238367312896]$ \(y^2=x^3-x^2-105456000096x+13181238367312896\) 2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.4.8, $\ldots$
53040.s2 53040.s \( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -6591000096, 205958491312896]$ \(y^2=x^3-x^2-6591000096x+205958491312896\) 2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.5, $\ldots$
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