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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
50.a1 50.a \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -126, -552]$ \(y^2+xy+y=x^3-126x-552\) 3.8.0-3.a.1.1, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.1.1, 24.16.0-24.a.1.6, $\ldots$
50.b1 50.b \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -3138, -68969]$ \(y^2+xy+y=x^3+x^2-3138x-68969\) 3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.1.3, 24.8.0.a.1, $\ldots$
400.d1 400.d \( 2^{4} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.194697629$ $[0, -1, 0, -2008, 35312]$ \(y^2=x^3-x^2-2008x+35312\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 12.8.0-3.a.1.2, 15.96.1.a.1, $\ldots$
400.f1 400.f \( 2^{4} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -50208, 4313588]$ \(y^2=x^3+x^2-50208x+4313588\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 20.24.0-5.a.2.2, $\ldots$
450.c1 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -28242, 1833916]$ \(y^2+xy=x^3-x^2-28242x+1833916\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.1.4, 24.8.0.a.1, $\ldots$
450.g1 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 1, -1130, 14897]$ \(y^2+xy+y=x^3-x^2-1130x+14897\) 3.8.0-3.a.1.2, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.1.2, 24.16.0-24.a.1.8, $\ldots$
1600.i1 1600.i \( 2^{6} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -200833, 34709537]$ \(y^2=x^3-x^2-200833x+34709537\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 10.24.0-5.a.2.2, 15.96.1.a.1, $\ldots$
1600.j1 1600.j \( 2^{6} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -8033, -274463]$ \(y^2=x^3-x^2-8033x-274463\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 12.8.0-3.a.1.4, 15.96.1.a.1, $\ldots$
1600.p1 1600.p \( 2^{6} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.181367514$ $[0, 1, 0, -8033, 274463]$ \(y^2=x^3+x^2-8033x+274463\) 3.4.0.a.1, 5.12.0.a.2, 6.8.0-3.a.1.2, 8.2.0.a.1, 10.24.0-5.a.2.1, $\ldots$
1600.q1 1600.q \( 2^{6} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $6.862779968$ $[0, 1, 0, -200833, -34709537]$ \(y^2=x^3+x^2-200833x-34709537\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 20.24.0-5.a.2.4, $\ldots$
2450.g1 2450.g \( 2 \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.214947847$ $[1, 1, 0, -6150, 183100]$ \(y^2+xy=x^3+x^2-6150x+183100\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 21.8.0-3.a.1.2, $\ldots$
2450.bd1 2450.bd \( 2 \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.224244896$ $[1, 0, 0, -153763, 23195017]$ \(y^2+xy=x^3-153763x+23195017\) 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, $\ldots$
3600.l1 3600.l \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -18075, -935350]$ \(y^2=x^3-18075x-935350\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 12.8.0-3.a.1.1, 15.96.1.a.1, $\ldots$
3600.bc1 3600.bc \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $9.990411618$ $[0, 0, 0, -451875, -116918750]$ \(y^2=x^3-451875x-116918750\) 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, $\ldots$
6050.h1 6050.h \( 2 \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -379700, 89899000]$ \(y^2+xy=x^3+x^2-379700x+89899000\) 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, $\ldots$
6050.bi1 6050.bi \( 2 \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -15188, 719192]$ \(y^2+xy=x^3-15188x+719192\) 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, $\ldots$
8450.d1 8450.d \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $15.71822282$ $[1, 1, 0, -530325, -148872875]$ \(y^2+xy=x^3+x^2-530325x-148872875\) 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, $\ldots$
8450.v1 8450.v \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.978032737$ $[1, 0, 0, -21213, -1190983]$ \(y^2+xy=x^3-21213x-1190983\) 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, $\ldots$
14400.bf1 14400.bf \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1807500, 935350000]$ \(y^2=x^3-1807500x+935350000\) 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, $\ldots$
14400.br1 14400.br \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -72300, -7482800]$ \(y^2=x^3-72300x-7482800\) 3.4.0.a.1, 5.12.0.a.2, 6.8.0-3.a.1.1, 8.2.0.a.1, 15.96.1.a.1, $\ldots$
14400.dt1 14400.dt \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.582664685$ $[0, 0, 0, -72300, 7482800]$ \(y^2=x^3-72300x+7482800\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 12.8.0-3.a.1.3, 15.96.1.a.1, $\ldots$
14400.ef1 14400.ef \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $20.10375709$ $[0, 0, 0, -1807500, -935350000]$ \(y^2=x^3-1807500x-935350000\) 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.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.bg1 14450.bg \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -906888, -332495608]$ \(y^2+xy=x^3-906888x-332495608\) 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, $\ldots$
18050.i1 18050.i \( 2 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -1132826, 463994548]$ \(y^2+xy+y=x^3-1132826x+463994548\) 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, $\ldots$
18050.o1 18050.o \( 2 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -45313, 3693831]$ \(y^2+xy+y=x^3+x^2-45313x+3693831\) 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, $\ldots$
19600.bo1 19600.bo \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $16.49984766$ $[0, -1, 0, -2460208, -1484481088]$ \(y^2=x^3-x^2-2460208x-1484481088\) 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, $\ldots$
19600.cz1 19600.cz \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -98408, -11915212]$ \(y^2=x^3+x^2-98408x-11915212\) 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, $\ldots$
22050.cf1 22050.cf \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $27.63398854$ $[1, -1, 0, -1383867, -626265459]$ \(y^2+xy=x^3-x^2-1383867x-626265459\) 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, $\ldots$
22050.fc1 22050.fc \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $9.049999032$ $[1, -1, 1, -55355, -4999053]$ \(y^2+xy+y=x^3-x^2-55355x-4999053\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 21.8.0-3.a.1.1, $\ldots$
26450.i1 26450.i \( 2 \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.788183664$ $[1, 0, 1, -66401, 6580348]$ \(y^2+xy+y=x^3-66401x+6580348\) 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, $\ldots$
26450.q1 26450.q \( 2 \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.395614295$ $[1, 1, 1, -1660013, 822543531]$ \(y^2+xy+y=x^3+x^2-1660013x+822543531\) 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, $\ldots$
42050.m1 42050.m \( 2 \cdot 5^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $37.19641343$ $[1, 0, 1, -2639076, -1650411702]$ \(y^2+xy+y=x^3-2639076x-1650411702\) 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, $\ldots$
42050.x1 42050.x \( 2 \cdot 5^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $9.967756814$ $[1, 1, 1, -105563, -13245519]$ \(y^2+xy+y=x^3+x^2-105563x-13245519\) 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, $\ldots$
48050.f1 48050.f \( 2 \cdot 5^{2} \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $3.071174103$ $[1, 1, 0, -120625, 16075325]$ \(y^2+xy=x^3+x^2-120625x+16075325\) 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, $\ldots$
48050.u1 48050.u \( 2 \cdot 5^{2} \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $5.208064161$ $[1, 0, 0, -3015638, 2015446892]$ \(y^2+xy=x^3-3015638x+2015446892\) 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, $\ldots$
48400.bh1 48400.bh \( 2^{4} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -243008, -46028288]$ \(y^2=x^3-x^2-243008x-46028288\) 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, $\ldots$
48400.ci1 48400.ci \( 2^{4} \cdot 5^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $30.01616261$ $[0, 1, 0, -6075208, -5765686412]$ \(y^2=x^3+x^2-6075208x-5765686412\) 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, $\ldots$
54450.be1 54450.be \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -136692, -19418184]$ \(y^2+xy=x^3-x^2-136692x-19418184\) 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, $\ldots$
54450.gd1 54450.gd \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -3417305, -2430690303]$ \(y^2+xy+y=x^3-x^2-3417305x-2430690303\) 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, $\ldots$
67600.bh1 67600.bh \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.708840503$ $[0, -1, 0, -339408, 76222912]$ \(y^2=x^3-x^2-339408x+76222912\) 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, $\ldots$
67600.ce1 67600.ce \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -8485208, 9510893588]$ \(y^2=x^3+x^2-8485208x+9510893588\) 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, $\ldots$
68450.f1 68450.f \( 2 \cdot 5^{2} \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $15.09332297$ $[1, 1, 0, -4295950, -3429038500]$ \(y^2+xy=x^3+x^2-4295950x-3429038500\) 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, $\ldots$
68450.bm1 68450.bm \( 2 \cdot 5^{2} \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $5.804711805$ $[1, 0, 0, -171838, -27432308]$ \(y^2+xy=x^3-171838x-27432308\) 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, $\ldots$
76050.w1 76050.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.508476286$ $[1, -1, 0, -190917, 32156541]$ \(y^2+xy=x^3-x^2-190917x+32156541\) 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, $\ldots$
76050.fj1 76050.fj \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.999108319$ $[1, -1, 1, -4772930, 4014794697]$ \(y^2+xy+y=x^3-x^2-4772930x+4014794697\) 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, $\ldots$
78400.dc1 78400.dc \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $11.05719821$ $[0, -1, 0, -393633, -94928063]$ \(y^2=x^3-x^2-393633x-94928063\) 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, $\ldots$
78400.eh1 78400.eh \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -9840833, 11885689537]$ \(y^2=x^3-x^2-9840833x+11885689537\) 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, $\ldots$
78400.hl1 78400.hl \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $41.06064631$ $[0, 1, 0, -9840833, -11885689537]$ \(y^2=x^3+x^2-9840833x-11885689537\) 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, $\ldots$
78400.ih1 78400.ih \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.771091335$ $[0, 1, 0, -393633, 94928063]$ \(y^2=x^3+x^2-393633x+94928063\) 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, $\ldots$
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