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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
75690.a1 75690.a \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $5.995550527$ $[1, -1, 0, -157075830, 757767064180]$ \(y^2+xy=x^3-x^2-157075830x+757767064180\) 40.2.0.a.1
75690.b1 75690.b \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $4.999686049$ $[1, -1, 0, 18765, 518805]$ \(y^2+xy=x^3-x^2+18765x+518805\) 40.2.0.a.1
75690.c1 75690.c \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $4.030293319$ $[1, -1, 0, -19168650, 32306146996]$ \(y^2+xy=x^3-x^2-19168650x+32306146996\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 30.24.0-6.a.1.3, $\ldots$
75690.c2 75690.c \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $16.12117327$ $[1, -1, 0, -18260370, 35504927500]$ \(y^2+xy=x^3-x^2-18260370x+35504927500\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 60.24.0-6.a.1.5, $\ldots$
75690.c3 75690.c \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $4.030293319$ $[1, -1, 0, -435375, -40088039]$ \(y^2+xy=x^3-x^2-435375x-40088039\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cc.1, 30.24.0-6.a.1.4, $\ldots$
75690.c4 75690.c \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $16.12117327$ $[1, -1, 0, 1608255, -310255925]$ \(y^2+xy=x^3-x^2+1608255x-310255925\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cb.1, 60.24.0-6.a.1.9, $\ldots$
75690.d1 75690.d \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -927360, -343500800]$ \(y^2+xy=x^3-x^2-927360x-343500800\) 8.2.0.b.1
75690.e1 75690.e \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $10.93991783$ $[1, -1, 0, -22032255, 27263821325]$ \(y^2+xy=x^3-x^2-22032255x+27263821325\) 2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?
75690.e2 75690.e \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $21.87983566$ $[1, -1, 0, 3803265, 2869923341]$ \(y^2+xy=x^3-x^2+3803265x+2869923341\) 2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?
75690.f1 75690.f \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -30408615, 64545575031]$ \(y^2+xy=x^3-x^2-30408615x+64545575031\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$
75690.f2 75690.f \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -2024865, 869470281]$ \(y^2+xy=x^3-x^2-2024865x+869470281\) 2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.2, 120.24.0.?, 232.12.0.?, $\ldots$
75690.f3 75690.f \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -662445, -195669675]$ \(y^2+xy=x^3-x^2-662445x-195669675\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$
75690.f4 75690.f \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 4560165, 5345973675]$ \(y^2+xy=x^3-x^2+4560165x+5345973675\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$
75690.g1 75690.g \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -168580710, 842522788516]$ \(y^2+xy=x^3-x^2-168580710x+842522788516\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 58.6.0.a.1, $\ldots$
75690.g2 75690.g \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -10539990, 13156698100]$ \(y^2+xy=x^3-x^2-10539990x+13156698100\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.3, 116.12.0.?, $\ldots$
75690.g3 75690.g \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -7512390, 20869206340]$ \(y^2+xy=x^3-x^2-7512390x+20869206340\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$
75690.g4 75690.g \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -851670, 75528436]$ \(y^2+xy=x^3-x^2-851670x+75528436\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$
75690.h1 75690.h \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $5.270101779$ $[1, -1, 0, -10010160, -11941727450]$ \(y^2+xy=x^3-x^2-10010160x-11941727450\) 8.2.0.b.1
75690.i1 75690.i \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -21255, -1108675]$ \(y^2+xy=x^3-x^2-21255x-1108675\) 8.2.0.b.1
75690.j1 75690.j \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $52.26011553$ $[1, -1, 0, -1361038815, -14503447037619]$ \(y^2+xy=x^3-x^2-1361038815x-14503447037619\) 8.2.0.b.1
75690.k1 75690.k \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $4.952874433$ $[1, -1, 0, -183075, -7835689]$ \(y^2+xy=x^3-x^2-183075x-7835689\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$
75690.k2 75690.k \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $1.650958144$ $[1, -1, 0, -107385, 13571125]$ \(y^2+xy=x^3-x^2-107385x+13571125\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 40.6.0.e.1, $\ldots$
75690.k3 75690.k \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $3.301916288$ $[1, -1, 0, -6465, 229501]$ \(y^2+xy=x^3-x^2-6465x+229501\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$
75690.k4 75690.k \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $9.905748866$ $[1, -1, 0, 43995, -978175]$ \(y^2+xy=x^3-x^2+43995x-978175\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0.b.1, $\ldots$
75690.l1 75690.l \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $2.199721033$ $[1, -1, 0, -5595, -159679]$ \(y^2+xy=x^3-x^2-5595x-159679\) 2.3.0.a.1, 20.6.0.d.1, 58.6.0.a.1, 580.12.0.?
75690.l2 75690.l \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $1.099860516$ $[1, -1, 0, -375, -2035]$ \(y^2+xy=x^3-x^2-375x-2035\) 2.3.0.a.1, 20.6.0.d.1, 116.6.0.?, 290.6.0.?, 580.12.0.?
75690.m1 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $3.081486993$ $[1, -1, 0, -40369419, 98735028925]$ \(y^2+xy=x^3-x^2-40369419x+98735028925\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$
75690.m2 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $0.770371748$ $[1, -1, 0, -3432699, 334032493]$ \(y^2+xy=x^3-x^2-3432699x+334032493\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$
75690.m3 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.540743496$ $[1, -1, 0, -2524419, 1541499925]$ \(y^2+xy=x^3-x^2-2524419x+1541499925\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$
75690.m4 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $2.311115244$ $[1, -1, 0, -2183814, -1241583530]$ \(y^2+xy=x^3-x^2-2183814x-1241583530\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$
75690.m5 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $9.244460979$ $[1, -1, 0, -518634, 123954898]$ \(y^2+xy=x^3-x^2-518634x+123954898\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$
75690.m6 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.622230489$ $[1, -1, 0, -140184, -18266612]$ \(y^2+xy=x^3-x^2-140184x-18266612\) 2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$
75690.m7 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $3.081486993$ $[1, -1, 0, -102339, 41263573]$ \(y^2+xy=x^3-x^2-102339x+41263573\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$
75690.m8 75690.m \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $9.244460979$ $[1, -1, 0, 11196, -1402880]$ \(y^2+xy=x^3-x^2+11196x-1402880\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$
75690.n1 75690.n \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $15.37878041$ $[1, -1, 0, -653660259, 6431887352213]$ \(y^2+xy=x^3-x^2-653660259x+6431887352213\) 8.2.0.b.1
75690.o1 75690.o \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $48.44017119$ $[1, -1, 0, -10824219, -13704311867]$ \(y^2+xy=x^3-x^2-10824219x-13704311867\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 20.36.0.b.1, 120.72.1.?, $\ldots$
75690.o2 75690.o \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $12.11004279$ $[1, -1, 0, -676539, -213986075]$ \(y^2+xy=x^3-x^2-676539x-213986075\) 2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 120.72.1.?, 145.12.0.?, $\ldots$
75690.o3 75690.o \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $1.937606847$ $[1, -1, 0, -25344, 21658]$ \(y^2+xy=x^3-x^2-25344x+21658\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 20.36.0.b.2, 120.72.1.?, $\ldots$
75690.o4 75690.o \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $2$ $\Z/2\Z$ $0.484401711$ $[1, -1, 0, -17514, 893920]$ \(y^2+xy=x^3-x^2-17514x+893920\) 2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 120.72.1.?, 145.12.0.?, $\ldots$
75690.p1 75690.p \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1275213924, -17309740421552]$ \(y^2+xy=x^3-x^2-1275213924x-17309740421552\) 2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 20.72.1.r.2, 116.6.0.?, $\ldots$
75690.p2 75690.p \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -151368804, -46751560568240]$ \(y^2+xy=x^3-x^2-151368804x-46751560568240\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 20.72.1.q.1, 116.6.0.?, $\ldots$
75690.p3 75690.p \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -128321199, 559516614493]$ \(y^2+xy=x^3-x^2-128321199x+559516614493\) 2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 20.72.1.r.1, 116.6.0.?, $\ldots$
75690.p4 75690.p \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -123931179, 599573790985]$ \(y^2+xy=x^3-x^2-123931179x+599573790985\) 2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 20.72.1.q.2, 116.6.0.?, $\ldots$
75690.q1 75690.q \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $0.663076629$ $[1, -1, 0, -531249, 146011805]$ \(y^2+xy=x^3-x^2-531249x+146011805\) 2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 290.6.0.?, 580.24.0.?, $\ldots$
75690.q2 75690.q \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\Z/2\Z$ $1.326153259$ $[1, -1, 0, 74271, 459307853]$ \(y^2+xy=x^3-x^2+74271x+459307853\) 2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 580.12.0.?, 696.12.0.?, $\ldots$
75690.r1 75690.r \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 0, -405099, 86805405]$ \(y^2+xy=x^3-x^2-405099x+86805405\) 3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8
75690.r2 75690.r \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -102339, -12560427]$ \(y^2+xy=x^3-x^2-102339x-12560427\) 3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4
75690.s1 75690.s \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $2.491711615$ $[1, -1, 0, 11196, 34128]$ \(y^2+xy=x^3-x^2+11196x+34128\) 40.2.0.a.1
75690.t1 75690.t \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -392484, 91376240]$ \(y^2+xy=x^3-x^2-392484x+91376240\) 2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.?
75690.t2 75690.t \( 2 \cdot 3^{2} \cdot 5 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 11196, 5230928]$ \(y^2+xy=x^3-x^2+11196x+5230928\) 2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.?
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