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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
50.a3 50.a \( 2 \cdot 5^{2} \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, -1, -2]$ \(y^2+xy+y=x^3-x-2\) 3.8.0-3.a.1.2, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.2.3, 24.16.0-24.a.1.8, $\ldots$ $[ ]$
50.b2 50.b \( 2 \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -13, -219]$ \(y^2+xy+y=x^3+x^2-13x-219\) 3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.2.4, 24.8.0.a.1, $\ldots$ $[ ]$
400.d3 400.d \( 2^{4} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.064899209$ $[0, -1, 0, -8, 112]$ \(y^2=x^3-x^2-8x+112\) 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.2, $\ldots$ $[(12, 40)]$
400.f2 400.f \( 2^{4} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -208, 13588]$ \(y^2=x^3+x^2-208x+13588\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 20.24.0-5.a.2.2, $\ldots$ $[ ]$
450.c2 450.c \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -117, 5791]$ \(y^2+xy=x^3-x^2-117x+5791\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.2.2, 24.8.0.a.1, $\ldots$ $[ ]$
450.g3 450.g \( 2 \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -5, 47]$ \(y^2+xy+y=x^3-x^2-5x+47\) 3.8.0-3.a.1.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.2.1, 24.16.0-24.a.1.6, $\ldots$ $[ ]$
1600.i2 1600.i \( 2^{6} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -833, 109537]$ \(y^2=x^3-x^2-833x+109537\) 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.2, $\ldots$ $[ ]$
1600.j3 1600.j \( 2^{6} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -33, -863]$ \(y^2=x^3-x^2-33x-863\) 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.2, $\ldots$ $[ ]$
1600.p3 1600.p \( 2^{6} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.544102542$ $[0, 1, 0, -33, 863]$ \(y^2=x^3+x^2-33x+863\) 3.4.0.a.1, 5.12.0.a.2, 6.8.0-3.a.1.1, 8.2.0.a.1, 10.24.0-5.a.2.1, $\ldots$ $[(7, 32)]$
1600.q2 1600.q \( 2^{6} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $2.287593322$ $[0, 1, 0, -833, -109537]$ \(y^2=x^3+x^2-833x-109537\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 20.24.0-5.a.2.4, $\ldots$ $[(59, 224)]$
2450.g3 2450.g \( 2 \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $0.644843541$ $[1, 1, 0, -25, 575]$ \(y^2+xy=x^3+x^2-25x+575\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 21.8.0-3.a.1.1, $\ldots$ $[(-1, 25)]$
2450.bd2 2450.bd \( 2 \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.672734688$ $[1, 0, 0, -638, 73142]$ \(y^2+xy=x^3-638x+73142\) 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, $\ldots$ $[(-61/2, 2315/2)]$
3600.l3 3600.l \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -75, -2950]$ \(y^2=x^3-75x-2950\) 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.2, $\ldots$ $[ ]$
3600.bc2 3600.bc \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $3.330137206$ $[0, 0, 0, -1875, -368750]$ \(y^2=x^3-1875x-368750\) 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, $\ldots$ $[(81, 104)]$
6050.h2 6050.h \( 2 \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -1575, 283375]$ \(y^2+xy=x^3+x^2-1575x+283375\) 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, $\ldots$ $[ ]$
6050.bi3 6050.bi \( 2 \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -63, 2267]$ \(y^2+xy=x^3-63x+2267\) 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, $\ldots$ $[ ]$
8450.d2 8450.d \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.239407609$ $[1, 1, 0, -2200, -469750]$ \(y^2+xy=x^3+x^2-2200x-469750\) 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, $\ldots$ $[(1969/3, 80617/3)]$
8450.v3 8450.v \( 2 \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $5.934098211$ $[1, 0, 0, -88, -3758]$ \(y^2+xy=x^3-88x-3758\) 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, $\ldots$ $[(3831/10, 203249/10)]$
14400.bf2 14400.bf \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -7500, 2950000]$ \(y^2=x^3-7500x+2950000\) 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, $\ldots$ $[ ]$
14400.br3 14400.br \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -300, -23600]$ \(y^2=x^3-300x-23600\) 3.4.0.a.1, 5.12.0.a.2, 6.8.0-3.a.1.2, 8.2.0.a.1, 15.96.1.a.2, $\ldots$ $[ ]$
14400.dt3 14400.dt \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $0.527554895$ $[0, 0, 0, -300, 23600]$ \(y^2=x^3-300x+23600\) 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.2, $\ldots$ $[(-10, 160)]$
14400.ef2 14400.ef \( 2^{6} \cdot 3^{2} \cdot 5^{2} \) $1$ $\mathsf{trivial}$ $6.701252365$ $[0, 0, 0, -7500, -2950000]$ \(y^2=x^3-7500x-2950000\) 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, $\ldots$ $[(5186/5, 262816/5)]$
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.bg2 14450.bg \( 2 \cdot 5^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -3763, -1048733]$ \(y^2+xy=x^3-3763x-1048733\) 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, $\ldots$ $[ ]$
18050.i2 18050.i \( 2 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -4701, 1463298]$ \(y^2+xy+y=x^3-4701x+1463298\) 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, $\ldots$ $[ ]$
18050.o3 18050.o \( 2 \cdot 5^{2} \cdot 19^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -188, 11631]$ \(y^2+xy+y=x^3+x^2-188x+11631\) 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, $\ldots$ $[ ]$
19600.bo2 19600.bo \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $5.499949220$ $[0, -1, 0, -10208, -4681088]$ \(y^2=x^3-x^2-10208x-4681088\) 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, $\ldots$ $[(2362/3, 88102/3)]$
19600.cz3 19600.cz \( 2^{4} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -408, -37612]$ \(y^2=x^3+x^2-408x-37612\) 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, $\ldots$ $[ ]$
22050.cf2 22050.cf \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $9.211329515$ $[1, -1, 0, -5742, -1974834]$ \(y^2+xy=x^3-x^2-5742x-1974834\) 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, $\ldots$ $[(68041/5, 17567971/5)]$
22050.fc3 22050.fc \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $3.016666344$ $[1, -1, 1, -230, -15753]$ \(y^2+xy+y=x^3-x^2-230x-15753\) 3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 21.8.0-3.a.1.2, $\ldots$ $[(351/2, 6015/2)]$
26450.i3 26450.i \( 2 \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $2.364550994$ $[1, 0, 1, -276, 20748]$ \(y^2+xy+y=x^3-276x+20748\) 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, $\ldots$ $[(228, 3324)]$
26450.q2 26450.q \( 2 \cdot 5^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $10.18684288$ $[1, 1, 1, -6888, 2593531]$ \(y^2+xy+y=x^3+x^2-6888x+2593531\) 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, $\ldots$ $[(494029/36, 338792147/36)]$
42050.m2 42050.m \( 2 \cdot 5^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $12.39880447$ $[1, 0, 1, -10951, -5205452]$ \(y^2+xy+y=x^3-10951x-5205452\) 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, $\ldots$ $[(4967819/130, 8733766787/130)]$
42050.x3 42050.x \( 2 \cdot 5^{2} \cdot 29^{2} \) $1$ $\mathsf{trivial}$ $3.322585604$ $[1, 1, 1, -438, -41819]$ \(y^2+xy+y=x^3+x^2-438x-41819\) 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, $\ldots$ $[(1435/6, 12407/6)]$
48050.f3 48050.f \( 2 \cdot 5^{2} \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $1.023724701$ $[1, 1, 0, -500, 50650]$ \(y^2+xy=x^3+x^2-500x+50650\) 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, $\ldots$ $[(59, 451)]$
48050.u2 48050.u \( 2 \cdot 5^{2} \cdot 31^{2} \) $1$ $\mathsf{trivial}$ $15.62419248$ $[1, 0, 0, -12513, 6356267]$ \(y^2+xy=x^3-12513x+6356267\) 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, $\ldots$ $[(172841869/380, 2234019533637/380)]$
48400.bh3 48400.bh \( 2^{4} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1008, -145088]$ \(y^2=x^3-x^2-1008x-145088\) 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, $\ldots$ $[ ]$
48400.ci2 48400.ci \( 2^{4} \cdot 5^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $10.00538753$ $[0, 1, 0, -25208, -18186412]$ \(y^2=x^3+x^2-25208x-18186412\) 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, $\ldots$ $[(101054/5, 32098808/5)]$
54450.be3 54450.be \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -567, -61209]$ \(y^2+xy=x^3-x^2-567x-61209\) 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, $\ldots$ $[ ]$
54450.gd2 54450.gd \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 1, -14180, -7665303]$ \(y^2+xy+y=x^3-x^2-14180x-7665303\) 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, $\ldots$ $[ ]$
67600.bh3 67600.bh \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $2.126521509$ $[0, -1, 0, -1408, 240512]$ \(y^2=x^3-x^2-1408x+240512\) 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, $\ldots$ $[(178, 2366)]$
67600.ce2 67600.ce \( 2^{4} \cdot 5^{2} \cdot 13^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -35208, 29993588]$ \(y^2=x^3+x^2-35208x+29993588\) 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, $\ldots$ $[ ]$
68450.f2 68450.f \( 2 \cdot 5^{2} \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $5.031107657$ $[1, 1, 0, -17825, -10816625]$ \(y^2+xy=x^3+x^2-17825x-10816625\) 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, $\ldots$ $[(4279/3, 247531/3)]$
68450.bm3 68450.bm \( 2 \cdot 5^{2} \cdot 37^{2} \) $1$ $\mathsf{trivial}$ $17.41413541$ $[1, 0, 0, -713, -86533]$ \(y^2+xy=x^3-713x-86533\) 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, $\ldots$ $[(865793291/3910, 12392059836109/3910)]$
76050.w3 76050.w \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $0.836158762$ $[1, -1, 0, -792, 101466]$ \(y^2+xy=x^3-x^2-792x+101466\) 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, $\ldots$ $[(49, 398)]$
76050.fj2 76050.fj \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) $1$ $\mathsf{trivial}$ $17.99732495$ $[1, -1, 1, -19805, 12663447]$ \(y^2+xy+y=x^3-x^2-19805x+12663447\) 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, $\ldots$ $[(-505951541/1410, 3391115857657/1410)]$
78400.dc3 78400.dc \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $1.228577579$ $[0, -1, 0, -1633, -299263]$ \(y^2=x^3-x^2-1633x-299263\) 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, $\ldots$ $[(397, 7840), (77, 160)]$
78400.eh2 78400.eh \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -40833, 37489537]$ \(y^2=x^3-x^2-40833x+37489537\) 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, $\ldots$ $[ ]$
78400.hl2 78400.hl \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $13.68688210$ $[0, 1, 0, -40833, -37489537]$ \(y^2=x^3+x^2-40833x-37489537\) 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, $\ldots$ $[(5479714/55, 12710092213/55)]$
78400.ih3 78400.ih \( 2^{6} \cdot 5^{2} \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.257030445$ $[0, 1, 0, -1633, 299263]$ \(y^2=x^3+x^2-1633x+299263\) 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, $\ldots$ $[(93, 980)]$
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