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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
14450.a1 14450.a \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.360980532$ $[1, 0, 1, -816576, -196331452]$ \(y^2+xy+y=x^3-816576x-196331452\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$
14450.a2 14450.a \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.680490266$ $[1, 0, 1, -744326, -247195452]$ \(y^2+xy+y=x^3-744326x-247195452\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$
14450.a3 14450.a \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.120326844$ $[1, 0, 1, -310826, 66658548]$ \(y^2+xy+y=x^3-310826x+66658548\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$
14450.a4 14450.a \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $0.560163422$ $[1, 0, 1, -21826, 766548]$ \(y^2+xy+y=x^3-21826x+766548\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$
14450.b1 14450.b \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $11.35371364$ $[1, 0, 1, -190891, -36002922]$ \(y^2+xy+y=x^3-190891x-36002922\) 17.72.1.b.2, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.?
14450.b2 14450.b \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.667865508$ $[1, 0, 1, -3041, 64278]$ \(y^2+xy+y=x^3-3041x+64278\) 17.72.1.b.1, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.?
14450.c1 14450.c \( 2 \cdot 5^{2} \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $0.562973399$ $[1, 1, 0, -4655, 120325]$ \(y^2+xy=x^3+x^2-4655x+120325\) 5.6.0.a.1, 40.12.0.bx.2, 85.24.0.?, 680.48.1.?
14450.c2 14450.c \( 2 \cdot 5^{2} \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $0.562973399$ $[1, 1, 0, 20, 50]$ \(y^2+xy=x^3+x^2+20x+50\) 5.6.0.a.1, 40.12.0.bx.1, 85.24.0.?, 680.48.1.?
14450.d1 14450.d \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -36275, -2674475]$ \(y^2+xy=x^3+x^2-36275x-2674475\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$
14450.d2 14450.d \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -21825, 1487125]$ \(y^2+xy=x^3+x^2-21825x+1487125\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$
14450.d3 14450.d \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -150, -8450]$ \(y^2+xy=x^3+x^2-150x-8450\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$
14450.d4 14450.d \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 158800, -10976000]$ \(y^2+xy=x^3+x^2+158800x-10976000\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$
14450.e1 14450.e \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.802921492$ $[1, 1, 0, 11750, 456500]$ \(y^2+xy=x^3+x^2+11750x+456500\) 680.2.0.?
14450.f1 14450.f \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -130200, 23704000]$ \(y^2+xy=x^3+x^2-130200x+23704000\) 680.2.0.?
14450.g1 14450.g \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -289150, 74712500]$ \(y^2+xy=x^3+x^2-289150x+74712500\) 3.4.0.a.1, 12.8.0-3.a.1.3, 15.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.7
14450.g2 14450.g \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 2167350, -679433000]$ \(y^2+xy=x^3+x^2+2167350x-679433000\) 3.4.0.a.1, 12.8.0-3.a.1.4, 15.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.6
14450.h1 14450.h \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $12.62524271$ $[1, 1, 0, -2622825, -1639310375]$ \(y^2+xy=x^3+x^2-2622825x-1639310375\) 4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.24.0.?, $\ldots$
14450.h2 14450.h \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $2.525048543$ $[1, 1, 0, 30195, 1729885]$ \(y^2+xy=x^3+x^2+30195x+1729885\) 4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$
14450.i1 14450.i \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 9804175, -1914582875]$ \(y^2+xy=x^3+x^2+9804175x-1914582875\) 68.2.0.a.1
14450.j1 14450.j \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $3.525633954$ $[1, 0, 1, -9076, -334202]$ \(y^2+xy+y=x^3-9076x-334202\) 4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.24.0.?, $\ldots$
14450.j2 14450.j \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.705126790$ $[1, 0, 1, 104, 358]$ \(y^2+xy+y=x^3+104x+358\) 4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$
14450.k1 14450.k \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.449455250$ $[1, 0, 1, -1001, 15148]$ \(y^2+xy+y=x^3-1001x+15148\) 3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 204.8.0.?, 255.8.0.?, $\ldots$
14450.k2 14450.k \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $1.348365750$ $[1, 0, 1, 7499, -137852]$ \(y^2+xy+y=x^3+7499x-137852\) 3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 204.8.0.?, 255.8.0.?, $\ldots$
14450.l1 14450.l \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $12.62159701$ $[1, 0, 1, 3395599, 2219014948]$ \(y^2+xy+y=x^3+3395599x+2219014948\) 680.2.0.?
14450.m1 14450.m \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -1345446, 600574488]$ \(y^2+xy+y=x^3-1345446x+600574488\) 5.6.0.a.1, 40.12.0.bx.2, 85.24.0.?, 680.48.1.?
14450.m2 14450.m \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 5629, 205888]$ \(y^2+xy+y=x^3+5629x+205888\) 5.6.0.a.1, 40.12.0.bx.1, 85.24.0.?, 680.48.1.?
14450.n1 14450.n \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $18.97995785$ $[1, 0, 1, -47981376, -132054127602]$ \(y^2+xy+y=x^3-47981376x-132054127602\) 3.4.0.a.1, 24.8.0-3.a.1.7, 255.8.0.?, 680.2.0.?, 2040.16.0.?
14450.n2 14450.n \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $6.326652619$ $[1, 0, 1, 2882624, -584559602]$ \(y^2+xy+y=x^3+2882624x-584559602\) 3.4.0.a.1, 24.8.0-3.a.1.8, 255.8.0.?, 680.2.0.?, 2040.16.0.?
14450.o1 14450.o \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -878710, 316677750]$ \(y^2+xy=x^3+x^2-878710x+316677750\) 17.72.1.b.1, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.?
14450.o2 14450.o \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -660, -7600]$ \(y^2+xy=x^3+x^2-660x-7600\) 17.72.1.b.2, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.?
14450.p1 14450.p \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 2258, 87716]$ \(y^2+xy=x^3-x^2+2258x+87716\) 68.2.0.a.1
14450.q1 14450.q \( 2 \cdot 5^{2} \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $12.89778036$ $[1, -1, 1, -3152730, -2153969853]$ \(y^2+xy+y=x^3-x^2-3152730x-2153969853\) 13.42.0.a.1, 221.84.2.?, 520.84.2.?, 680.2.0.?, 1105.168.2.?, $\ldots$
14450.q2 14450.q \( 2 \cdot 5^{2} \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $0.076318227$ $[1, -1, 1, -3480, 117147]$ \(y^2+xy+y=x^3-x^2-3480x+117147\) 13.42.0.a.2, 221.84.2.?, 520.84.2.?, 680.2.0.?, 1105.168.2.?, $\ldots$
14450.r1 14450.r \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, 56445, 11020947]$ \(y^2+xy+y=x^3-x^2+56445x+11020947\) 68.2.0.a.1
14450.s1 14450.s \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.104257286$ $[1, -1, 1, -30255, 2264247]$ \(y^2+xy+y=x^3-x^2-30255x+2264247\) 20.2.0.a.1
14450.t1 14450.t \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -54338, 4218292]$ \(y^2+xy=x^3-54338x+4218292\) 2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.1, 68.12.0.e.1, $\ldots$
14450.t2 14450.t \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 90162, 22858792]$ \(y^2+xy=x^3+90162x+22858792\) 2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 68.12.0.d.1, 136.24.0.?, $\ldots$
14450.u1 14450.u \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -2063, -36383]$ \(y^2+xy=x^3-2063x-36383\) 3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 255.8.0.?, 408.8.0.?, $\ldots$
14450.u2 14450.u \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 62, -258]$ \(y^2+xy=x^3+62x-258\) 3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 255.8.0.?, 408.8.0.?, $\ldots$
14450.v1 14450.v \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -30117563, -12516150383]$ \(y^2+xy=x^3-30117563x-12516150383\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$
14450.v2 14450.v \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -18449188, 30499006992]$ \(y^2+xy=x^3-18449188x+30499006992\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$
14450.v3 14450.v \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -17871188, 32499464992]$ \(y^2+xy=x^3-17871188x+32499464992\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$
14450.v4 14450.v \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 117850437, -99077430383]$ \(y^2+xy=x^3+117850437x-99077430383\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$
14450.w1 14450.w \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $13.04840871$ $[1, 0, 0, -21967763, 39628654267]$ \(y^2+xy=x^3-21967763x+39628654267\) 17.72.1.b.1, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.?
14450.w2 14450.w \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.767553453$ $[1, 0, 0, -16513, -916983]$ \(y^2+xy=x^3-16513x-916983\) 17.72.1.b.2, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.?
14450.x1 14450.x \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $1.319602158$ $[1, 1, 1, -33636138, 75071811031]$ \(y^2+xy+y=x^3+x^2-33636138x+75071811031\) 5.6.0.a.1, 40.12.0.bx.2, 85.24.0.?, 680.48.1.?
14450.x2 14450.x \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $6.598010791$ $[1, 1, 1, 140737, 25736031]$ \(y^2+xy+y=x^3+x^2+140737x+25736031\) 5.6.0.a.1, 40.12.0.bx.1, 85.24.0.?, 680.48.1.?
14450.y1 14450.y \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $1.001624384$ $[1, 1, 1, -363, -2819]$ \(y^2+xy+y=x^3+x^2-363x-2819\) 4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.24.0.?, $\ldots$
14450.y2 14450.y \( 2 \cdot 5^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.200324876$ $[1, 1, 1, 2612, 44781]$ \(y^2+xy+y=x^3+x^2+2612x+44781\) 4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$
14450.z1 14450.z \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -4755, 126497]$ \(y^2+xy+y=x^3-x^2-4755x+126497\) 2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.?
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