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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
45675.a1 45675.a \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\mathsf{trivial}$ $0.518854062$ $[0, 0, 1, -483825, 129547656]$ \(y^2+y=x^3-483825x+129547656\) 5.12.0.a.2, 15.24.0-5.a.2.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.?
45675.a2 45675.a \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\mathsf{trivial}$ $2.594270311$ $[0, 0, 1, 4425, 3906]$ \(y^2+y=x^3+4425x+3906\) 5.12.0.a.1, 15.24.0-5.a.1.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.?
45675.b1 45675.b \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $13.04649601$ $[0, 0, 1, -415875, -172126094]$ \(y^2+y=x^3-415875x-172126094\) 5.12.0.a.1, 15.24.0-5.a.1.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.?
45675.b2 45675.b \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $0.521859840$ $[0, 0, 1, -11325, 1256206]$ \(y^2+y=x^3-11325x+1256206\) 5.12.0.a.2, 15.24.0-5.a.2.2, 406.2.0.?, 2030.24.1.?, 6090.48.1.?
45675.c1 45675.c \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $0.157023376$ $[0, 0, 1, 375, 9306]$ \(y^2+y=x^3+375x+9306\) 406.2.0.?
45675.d1 45675.d \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -64875, -6953594]$ \(y^2+y=x^3-64875x-6953594\) 406.2.0.?
45675.e1 45675.e \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -46040405, -120230661778]$ \(y^2+xy+y=x^3-x^2-46040405x-120230661778\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 60.12.0-4.c.1.2, $\ldots$
45675.e2 45675.e \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -9555530, 9244638722]$ \(y^2+xy+y=x^3-x^2-9555530x+9244638722\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$
45675.e3 45675.e \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -2932655, -1802316778]$ \(y^2+xy+y=x^3-x^2-2932655x-1802316778\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 40.24.0-4.b.1.2, $\ldots$
45675.e4 45675.e \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -2877530, -1878058528]$ \(y^2+xy+y=x^3-x^2-2877530x-1878058528\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0-4.b.1.3, 56.24.0.m.1, $\ldots$
45675.e5 45675.e \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -176405, -30489028]$ \(y^2+xy+y=x^3-x^2-176405x-30489028\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 40.24.0-8.n.1.8, $\ldots$
45675.e6 45675.e \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 2808220, -8002461778]$ \(y^2+xy+y=x^3-x^2+2808220x-8002461778\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$
45675.f1 45675.f \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\Z/2\Z$ $4.200968796$ $[1, -1, 1, -2480, -42478]$ \(y^2+xy+y=x^3-x^2-2480x-42478\) 2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.?
45675.f2 45675.f \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\Z/2\Z$ $1.050242199$ $[1, -1, 1, 3145, -211228]$ \(y^2+xy+y=x^3-x^2+3145x-211228\) 2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.?
45675.g1 45675.g \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -11095880, -14201593878]$ \(y^2+xy+y=x^3-x^2-11095880x-14201593878\) 2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.?
45675.g2 45675.g \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -7580255, -23363312628]$ \(y^2+xy+y=x^3-x^2-7580255x-23363312628\) 2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.?
45675.h1 45675.h \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $1.331616371$ $[1, -1, 1, -33980, 2414522]$ \(y^2+xy+y=x^3-x^2-33980x+2414522\) 2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?
45675.h2 45675.h \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $2.663232742$ $[1, -1, 1, -1355, 65522]$ \(y^2+xy+y=x^3-x^2-1355x+65522\) 2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?
45675.i1 45675.i \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -733730, -241712728]$ \(y^2+xy+y=x^3-x^2-733730x-241712728\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 120.12.0.?, 420.12.0.?, $\ldots$
45675.i2 45675.i \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -245480, 43960772]$ \(y^2+xy+y=x^3-x^2-245480x+43960772\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0.h.1, 60.12.0-4.c.1.1, 420.24.0.?, $\ldots$
45675.i3 45675.i \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -48605, -3289228]$ \(y^2+xy+y=x^3-x^2-48605x-3289228\) 2.6.0.a.1, 28.12.0.a.1, 60.12.0-2.a.1.1, 348.12.0.?, 420.24.0.?, $\ldots$
45675.i4 45675.i \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 6520, -312478]$ \(y^2+xy+y=x^3-x^2+6520x-312478\) 2.3.0.a.1, 4.6.0.c.1, 56.12.0.ba.1, 60.12.0-4.c.1.2, 174.6.0.?, $\ldots$
45675.j1 45675.j \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -5, 6122]$ \(y^2+xy+y=x^3-x^2-5x+6122\) 116.2.0.?
45675.k1 45675.k \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -6680, 457822]$ \(y^2+xy+y=x^3-x^2-6680x+457822\) 406.2.0.?
45675.l1 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $2.890205487$ $[1, -1, 1, -417804755, 3287168547122]$ \(y^2+xy+y=x^3-x^2-417804755x+3287168547122\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.7, $\ldots$
45675.l2 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.445102743$ $[1, -1, 1, -26141630, 51247808372]$ \(y^2+xy+y=x^3-x^2-26141630x+51247808372\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 24.48.0-8.i.1.7, 40.48.0.bc.1, $\ldots$
45675.l3 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $2.890205487$ $[1, -1, 1, -12928505, 103016832122]$ \(y^2+xy+y=x^3-x^2-12928505x+103016832122\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0-8.n.1.3, $\ldots$
45675.l4 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.890205487$ $[1, -1, 1, -2488505, -126779128]$ \(y^2+xy+y=x^3-x^2-2488505x-126779128\) 2.6.0.a.1, 4.24.0.b.1, 24.48.0-4.b.1.6, 40.48.0.b.1, 56.48.0-4.b.1.8, $\ldots$
45675.l5 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.780410975$ $[1, -1, 1, -1785380, -915685378]$ \(y^2+xy+y=x^3-x^2-1785380x-915685378\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 48.48.0-8.i.1.3, 60.24.0-4.b.1.3, $\ldots$
45675.l6 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $11.56082195$ $[1, -1, 1, -1784255, -916900378]$ \(y^2+xy+y=x^3-x^2-1784255x-916900378\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 60.12.0-4.c.1.2, $\ldots$
45675.l7 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $11.56082195$ $[1, -1, 1, -1100255, -1626845128]$ \(y^2+xy+y=x^3-x^2-1100255x-1626845128\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 60.12.0-4.c.1.2, $\ldots$
45675.l8 45675.l \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $5.780410975$ $[1, -1, 1, 9914620, -1019804128]$ \(y^2+xy+y=x^3-x^2+9914620x-1019804128\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 24.48.0-8.q.1.5, 40.48.0.bf.2, $\ldots$
45675.m1 45675.m \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $2.663377696$ $[1, -1, 1, -29930, -1887928]$ \(y^2+xy+y=x^3-x^2-29930x-1887928\) 2.3.0.a.1, 20.6.0.b.1, 116.6.0.?, 290.6.0.?, 580.12.0.?
45675.m2 45675.m \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $1.331688848$ $[1, -1, 1, 20695, -7659178]$ \(y^2+xy+y=x^3-x^2+20695x-7659178\) 2.3.0.a.1, 20.6.0.a.1, 116.6.0.?, 580.12.0.?
45675.n1 45675.n \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $5.816955126$ $[1, -1, 1, -522230, -145127478]$ \(y^2+xy+y=x^3-x^2-522230x-145127478\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 580.12.0.?, $\ldots$
45675.n2 45675.n \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.908477563$ $[1, -1, 1, -32855, -2229978]$ \(y^2+xy+y=x^3-x^2-32855x-2229978\) 2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 420.24.0.?, 580.12.0.?, $\ldots$
45675.n3 45675.n \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $1.454238781$ $[1, -1, 1, -4730, 76272]$ \(y^2+xy+y=x^3-x^2-4730x+76272\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 280.12.0.?, 420.12.0.?, $\ldots$
45675.n4 45675.n \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\Z/2\Z$ $5.816955126$ $[1, -1, 1, 6520, -7269978]$ \(y^2+xy+y=x^3-x^2+6520x-7269978\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 70.6.0.a.1, 140.12.0.?, $\ldots$
45675.o1 45675.o \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -131005780050, 18250879584181531]$ \(y^2+y=x^3-131005780050x+18250879584181531\) 3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 45.24.0-9.a.1.1, 63.36.0.e.2, $\ldots$
45675.o2 45675.o \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -1600283550, 25589857156906]$ \(y^2+y=x^3-1600283550x+25589857156906\) 3.12.0.a.1, 15.24.0-3.a.1.1, 63.36.0.b.1, 315.72.0.?, 406.2.0.?, $\ldots$
45675.o3 45675.o \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 100849200, 93636189031]$ \(y^2+y=x^3+100849200x+93636189031\) 3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 63.36.0.e.1, $\ldots$
45675.p1 45675.p \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -639750, 200164531]$ \(y^2+y=x^3-639750x+200164531\) 406.2.0.?
45675.q1 45675.q \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $0.200895232$ $[0, 0, 1, -61200, 5827906]$ \(y^2+y=x^3-61200x+5827906\) 3.4.0.a.1, 15.8.0-3.a.1.2, 174.8.0.?, 870.16.0.?
45675.q2 45675.q \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $1.808057092$ $[0, 0, 1, 4050, 17424281]$ \(y^2+y=x^3+4050x+17424281\) 3.4.0.a.1, 15.8.0-3.a.1.1, 174.8.0.?, 870.16.0.?
45675.r1 45675.r \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $0.372870033$ $[0, 0, 1, 60, 931]$ \(y^2+y=x^3+60x+931\) 870.2.0.?
45675.s1 45675.s \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $2$ $\mathsf{trivial}$ $0.493091589$ $[0, 0, 1, -1650, 26131]$ \(y^2+y=x^3-1650x+26131\) 406.2.0.?
45675.t1 45675.t \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\mathsf{trivial}$ $0.443491379$ $[0, 0, 1, -3720, 103936]$ \(y^2+y=x^3-3720x+103936\) 3.4.0.a.1, 15.8.0-3.a.1.2, 406.2.0.?, 1218.8.0.?, 6090.16.0.?
45675.t2 45675.t \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $1$ $\mathsf{trivial}$ $1.330474139$ $[0, 0, 1, 330, -959]$ \(y^2+y=x^3+330x-959\) 3.4.0.a.1, 15.8.0-3.a.1.1, 406.2.0.?, 1218.8.0.?, 6090.16.0.?
45675.u1 45675.u \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, 450, -10969]$ \(y^2+y=x^3+450x-10969\) 406.2.0.?
45675.v1 45675.v \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -17100, 861266]$ \(y^2+y=x^3-17100x+861266\) 406.2.0.?
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