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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
50.a4 50.a \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 549, -2202]$ \(y^2+xy+y=x^3+549x-2202\) 3.8.0-3.a.1.1, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.3.2, 24.16.0-24.a.1.6, $\ldots$
50.b4 50.b \( 2 \cdot 5^{2} \) $0$ $\Z/5\Z$ $1$ $[1, 1, 1, 22, -9]$ \(y^2+xy+y=x^3+x^2+22x-9\) 3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.3.1, 24.8.0.a.1, $\ldots$
400.d4 400.d \( 2^{4} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.973488147$ $[0, -1, 0, 8792, 140912]$ \(y^2=x^3-x^2+8792x+140912\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 15.96.1.a.3, $\ldots$
400.f4 400.f \( 2^{4} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 352, 1268]$ \(y^2=x^3+x^2+352x+1268\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 20.24.0-5.a.1.2, $\ldots$
450.c4 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 198, 436]$ \(y^2+xy=x^3-x^2+198x+436\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.3.3, 24.8.0.a.1, $\ldots$
450.g4 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\Z/3\Z$ $1$ $[1, -1, 1, 4945, 59447]$ \(y^2+xy+y=x^3-x^2+4945x+59447\) 3.8.0-3.a.1.2, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.3.4, 24.16.0-24.a.1.8, $\ldots$
1600.i4 1600.i \( 2^{6} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 1407, 8737]$ \(y^2=x^3-x^2+1407x+8737\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 10.24.0-5.a.1.1, 15.96.1.a.3, $\ldots$
1600.j4 1600.j \( 2^{6} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 35167, -1162463]$ \(y^2=x^3-x^2+35167x-1162463\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 15.96.1.a.3, $\ldots$
1600.p4 1600.p \( 2^{6} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.906837570$ $[0, 1, 0, 35167, 1162463]$ \(y^2=x^3+x^2+35167x+1162463\) 3.4.0.a.1, 5.12.0.a.1, 6.8.0-3.a.1.2, 8.2.0.a.1, 10.24.0-5.a.1.2, $\ldots$
1600.q4 1600.q \( 2^{6} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.372555993$ $[0, 1, 0, 1407, -8737]$ \(y^2=x^3+x^2+1407x-8737\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 20.24.0-5.a.1.4, $\ldots$
2450.g4 2450.g \( 2 \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.074739236$ $[1, 1, 0, 26925, 782125]$ \(y^2+xy=x^3+x^2+26925x+782125\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 21.8.0-3.a.1.2, $\ldots$
2450.bd4 2450.bd \( 2 \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.244848979$ $[1, 0, 0, 1077, 6257]$ \(y^2+xy=x^3+1077x+6257\) 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, $\ldots$
3600.l4 3600.l \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 79125, -3883750]$ \(y^2=x^3+79125x-3883750\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 15.96.1.a.3, $\ldots$
3600.bc4 3600.bc \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $1.998082323$ $[0, 0, 0, 3165, -31070]$ \(y^2=x^3+3165x-31070\) 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, $\ldots$
6050.h4 6050.h \( 2 \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 2660, 25040]$ \(y^2+xy=x^3+x^2+2660x+25040\) 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, $\ldots$
6050.bi4 6050.bi \( 2 \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 66487, 2997017]$ \(y^2+xy=x^3+66487x+2997017\) 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, $\ldots$
8450.d4 8450.d \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.143644565$ $[1, 1, 0, 3715, -37955]$ \(y^2+xy=x^3+x^2+3715x-37955\) 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, $\ldots$
8450.v4 8450.v \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.395606547$ $[1, 0, 0, 92862, -4930108]$ \(y^2+xy=x^3+92862x-4930108\) 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, $\ldots$
14400.bf4 14400.bf \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 12660, 248560]$ \(y^2=x^3+12660x+248560\) 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, $\ldots$
14400.br4 14400.br \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 316500, -31070000]$ \(y^2=x^3+316500x-31070000\) 3.4.0.a.1, 5.12.0.a.1, 6.8.0-3.a.1.1, 8.2.0.a.1, 15.96.1.a.3, $\ldots$
14400.dt4 14400.dt \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $7.913323429$ $[0, 0, 0, 316500, 31070000]$ \(y^2=x^3+316500x+31070000\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 15.96.1.a.3, $\ldots$
14400.ef4 14400.ef \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $4.020751419$ $[0, 0, 0, 12660, -248560]$ \(y^2=x^3+12660x-248560\) 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.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.bg4 14450.bg \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 6352, -87808]$ \(y^2+xy=x^3+6352x-87808\) 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, $\ldots$
18050.i4 18050.i \( 2 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 7934, 123988]$ \(y^2+xy+y=x^3+7934x+123988\) 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, $\ldots$
18050.o4 18050.o \( 2 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 198362, 15498531]$ \(y^2+xy+y=x^3+x^2+198362x+15498531\) 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, $\ldots$
19600.bo4 19600.bo \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.299969532$ $[0, -1, 0, 17232, -400448]$ \(y^2=x^3-x^2+17232x-400448\) 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, $\ldots$
19600.cz4 19600.cz \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 430792, -49194412]$ \(y^2=x^3+x^2+430792x-49194412\) 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, $\ldots$
22050.cf4 22050.cf \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.526797709$ $[1, -1, 0, 9693, -168939]$ \(y^2+xy=x^3-x^2+9693x-168939\) 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, $\ldots$
22050.fc4 22050.fc \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.809999806$ $[1, -1, 1, 242320, -20875053]$ \(y^2+xy+y=x^3-x^2+242320x-20875053\) 3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 21.8.0-3.a.1.1, $\ldots$
26450.i4 26450.i \( 2 \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $3.940918323$ $[1, 0, 1, 290674, 27370048]$ \(y^2+xy+y=x^3+290674x+27370048\) 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, $\ldots$
26450.q4 26450.q \( 2 \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.679122859$ $[1, 1, 1, 11627, 223611]$ \(y^2+xy+y=x^3+x^2+11627x+223611\) 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, $\ldots$
42050.m4 42050.m \( 2 \cdot 5^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $7.439282686$ $[1, 0, 1, 18484, -436982]$ \(y^2+xy+y=x^3+18484x-436982\) 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, $\ldots$
42050.x4 42050.x \( 2 \cdot 5^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $1.993551362$ $[1, 1, 1, 462112, -54622719]$ \(y^2+xy+y=x^3+x^2+462112x-54622719\) 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, $\ldots$
48050.f4 48050.f \( 2 \cdot 5^{2} \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $15.35587051$ $[1, 1, 0, 528050, 67176500]$ \(y^2+xy=x^3+x^2+528050x+67176500\) 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, $\ldots$
48050.u4 48050.u \( 2 \cdot 5^{2} \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $1.041612832$ $[1, 0, 0, 21122, 537412]$ \(y^2+xy=x^3+21122x+537412\) 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, $\ldots$
48400.bh4 48400.bh \( 2^{4} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 1063792, -191809088]$ \(y^2=x^3-x^2+1063792x-191809088\) 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, $\ldots$
48400.ci4 48400.ci \( 2^{4} \cdot 5^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $6.003232522$ $[0, 1, 0, 42552, -1517452]$ \(y^2=x^3+x^2+42552x-1517452\) 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, $\ldots$
54450.be4 54450.be \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 598383, -80919459]$ \(y^2+xy=x^3-x^2+598383x-80919459\) 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, $\ldots$
54450.gd4 54450.gd \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, 23935, -652143]$ \(y^2+xy+y=x^3-x^2+23935x-652143\) 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, $\ldots$
67600.bh4 67600.bh \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $3.544202515$ $[0, -1, 0, 1485792, 315526912]$ \(y^2=x^3-x^2+1485792x+315526912\) 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, $\ldots$
67600.ce4 67600.ce \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 59432, 2547988]$ \(y^2=x^3+x^2+59432x+2547988\) 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, $\ldots$
68450.f4 68450.f \( 2 \cdot 5^{2} \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $3.018664594$ $[1, 1, 0, 30090, -898220]$ \(y^2+xy=x^3+x^2+30090x-898220\) 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, $\ldots$
68450.bm4 68450.bm \( 2 \cdot 5^{2} \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $1.160942361$ $[1, 0, 0, 752237, -113781983]$ \(y^2+xy=x^3+752237x-113781983\) 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, $\ldots$
76050.w4 76050.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $12.54238143$ $[1, -1, 0, 835758, 133112916]$ \(y^2+xy=x^3-x^2+835758x+133112916\) 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, $\ldots$
76050.fj4 76050.fj \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $1.199821663$ $[1, -1, 1, 33430, 1058217]$ \(y^2+xy+y=x^3-x^2+33430x+1058217\) 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, $\ldots$
78400.dc4 78400.dc \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $11.05719821$ $[0, -1, 0, 1723167, -395278463]$ \(y^2=x^3-x^2+1723167x-395278463\) 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, $\ldots$
78400.eh4 78400.eh \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 68927, 3134657]$ \(y^2=x^3-x^2+68927x+3134657\) 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, $\ldots$
78400.hl4 78400.hl \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $8.212129262$ $[0, 1, 0, 68927, -3134657]$ \(y^2=x^3+x^2+68927x-3134657\) 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, $\ldots$
78400.ih4 78400.ih \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $18.85545667$ $[0, 1, 0, 1723167, 395278463]$ \(y^2=x^3+x^2+1723167x+395278463\) 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, $\ldots$
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