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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
161.a4 161.a \( 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 26, 36]$ \(y^2+xy+y=x^3-x^2+26x+36\) 2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 184.24.0.?, $\ldots$
1127.a4 1127.a \( 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 1289, -15018]$ \(y^2+xy+y=x^3-x^2+1289x-15018\) 2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 184.24.0.?, $\ldots$
1449.d4 1449.d \( 3^{2} \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 237, -1216]$ \(y^2+xy=x^3-x^2+237x-1216\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
2576.j4 2576.j \( 2^{4} \cdot 7 \cdot 23 \) $1$ $\Z/4\Z$ $4.721542845$ $[0, 0, 0, 421, -2742]$ \(y^2=x^3+421x-2742\) 2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 184.24.0.?, $\ldots$
3703.a4 3703.a \( 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 13919, -524760]$ \(y^2+xy+y=x^3-x^2+13919x-524760\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
4025.e4 4025.e \( 5^{2} \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 658, 5191]$ \(y^2+xy=x^3-x^2+658x+5191\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.1, 28.12.0.g.1, $\ldots$
10143.p4 10143.p \( 3^{2} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 11604, 393875]$ \(y^2+xy=x^3-x^2+11604x+393875\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
10304.r4 10304.r \( 2^{6} \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $1.670258978$ $[0, 0, 0, 1684, -21936]$ \(y^2=x^3+1684x-21936\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
10304.s4 10304.s \( 2^{6} \cdot 7 \cdot 23 \) $2$ $\Z/2\Z$ $4.418187947$ $[0, 0, 0, 1684, 21936]$ \(y^2=x^3+1684x+21936\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
18032.l4 18032.l \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/4\Z$ $4.763093862$ $[0, 0, 0, 20629, 940506]$ \(y^2=x^3+20629x+940506\) 2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 184.24.0.?, $\ldots$
19481.e4 19481.e \( 7 \cdot 11^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 3184, -57821]$ \(y^2+xy=x^3-x^2+3184x-57821\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$
23184.o4 23184.o \( 2^{4} \cdot 3^{2} \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $2.472625042$ $[0, 0, 0, 3789, 74034]$ \(y^2=x^3+3789x+74034\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
25921.a4 25921.a \( 7^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.102166655$ $[1, -1, 1, 682046, 178628496]$ \(y^2+xy+y=x^3-x^2+682046x+178628496\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
27209.l4 27209.l \( 7 \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $6.722250842$ $[1, -1, 0, 4447, 93016]$ \(y^2+xy=x^3-x^2+4447x+93016\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$
28175.ba4 28175.ba \( 5^{2} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $3.327177722$ $[1, -1, 0, 32233, -1844984]$ \(y^2+xy=x^3-x^2+32233x-1844984\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.1, 28.12.0.g.1, $\ldots$
33327.n4 33327.n \( 3^{2} \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $19.68922322$ $[1, -1, 0, 125274, 14043239]$ \(y^2+xy=x^3-x^2+125274x+14043239\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 24.12.0-4.c.1.3, 28.12.0.g.1, $\ldots$
36225.k4 36225.k \( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) $2$ $\Z/2\Z$ $7.221141087$ $[1, -1, 1, 5920, -146078]$ \(y^2+xy+y=x^3-x^2+5920x-146078\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$
46529.a4 46529.a \( 7 \cdot 17^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 7604, 208590]$ \(y^2+xy+y=x^3-x^2+7604x+208590\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 68.12.0-4.c.1.1, $\ldots$
58121.c4 58121.c \( 7 \cdot 19^{2} \cdot 23 \) $1$ $\Z/2\Z$ $23.85731848$ $[1, -1, 0, 9499, -296240]$ \(y^2+xy=x^3-x^2+9499x-296240\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 76.12.0.?, $\ldots$
59248.p4 59248.p \( 2^{4} \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 222709, 33361914]$ \(y^2=x^3+222709x+33361914\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
64400.bl4 64400.bl \( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $3.446383729$ $[0, 0, 0, 10525, -342750]$ \(y^2=x^3+10525x-342750\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 20.12.0-4.c.1.2, 28.12.0.g.1, $\ldots$
72128.bd4 72128.bd \( 2^{6} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 82516, -7524048]$ \(y^2=x^3+82516x-7524048\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
72128.bg4 72128.bg \( 2^{6} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 82516, 7524048]$ \(y^2=x^3+82516x+7524048\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
92575.w4 92575.w \( 5^{2} \cdot 7 \cdot 23^{2} \) $1$ $\Z/2\Z$ $15.43175883$ $[1, -1, 0, 347983, -65246984]$ \(y^2+xy=x^3-x^2+347983x-65246984\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 40.12.0-4.c.1.5, $\ldots$
92736.eb4 92736.eb \( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $4.525193058$ $[0, 0, 0, 15156, 592272]$ \(y^2=x^3+15156x+592272\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 24.12.0-4.c.1.2, 28.12.0.g.1, $\ldots$
92736.ey4 92736.ey \( 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 15156, -592272]$ \(y^2=x^3+15156x-592272\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 24.12.0-4.c.1.1, 28.12.0.g.1, $\ldots$
135401.c4 135401.c \( 7 \cdot 23 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 22129, 1039384]$ \(y^2+xy=x^3-x^2+22129x+1039384\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 116.12.0.?, $\ldots$
136367.m4 136367.m \( 7^{2} \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $3.811205202$ $[1, -1, 0, 156007, 19520584]$ \(y^2+xy=x^3-x^2+156007x+19520584\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$
154721.a4 154721.a \( 7 \cdot 23 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 25286, -1282680]$ \(y^2+xy+y=x^3-x^2+25286x-1282680\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 124.12.0.?, $\ldots$
162288.fn4 162288.fn \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 185661, -25393662]$ \(y^2=x^3+185661x-25393662\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
175329.d4 175329.d \( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) $2$ $\Z/2\Z$ $2.469684562$ $[1, -1, 1, 28654, 1532512]$ \(y^2+xy+y=x^3-x^2+28654x+1532512\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 132.12.0.?, $\ldots$
190463.bl4 190463.bl \( 7^{2} \cdot 13^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 217894, -32340281]$ \(y^2+xy=x^3-x^2+217894x-32340281\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$
220409.c4 220409.c \( 7 \cdot 23 \cdot 37^{2} \) $1$ $\Z/2\Z$ $4.141128046$ $[1, -1, 0, 36022, 2161159]$ \(y^2+xy=x^3-x^2+36022x+2161159\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 148.12.0.?, $\ldots$
233289.bl4 233289.bl \( 3^{2} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 6138417, -4829107816]$ \(y^2+xy=x^3-x^2+6138417x-4829107816\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 24.12.0-4.c.1.5, 28.12.0.g.1, $\ldots$
236992.bo4 236992.bo \( 2^{6} \cdot 7 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 890836, -266895312]$ \(y^2=x^3+890836x-266895312\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
236992.bq4 236992.bq \( 2^{6} \cdot 7 \cdot 23^{2} \) $2$ $\Z/2\Z$ $29.08551576$ $[0, 0, 0, 890836, 266895312]$ \(y^2=x^3+890836x+266895312\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
244881.v4 244881.v \( 3^{2} \cdot 7 \cdot 13^{2} \cdot 23 \) $1$ $\Z/2\Z$ $6.624272500$ $[1, -1, 1, 40021, -2551454]$ \(y^2+xy+y=x^3-x^2+40021x-2551454\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 156.12.0.?, $\ldots$
253575.bb4 253575.bb \( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $3.008815141$ $[1, -1, 1, 290095, 49524472]$ \(y^2+xy+y=x^3-x^2+290095x+49524472\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$
257600.cp4 257600.cp \( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 42100, 2742000]$ \(y^2=x^3+42100x+2742000\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 40.12.0-4.c.1.1, $\ldots$
257600.dy4 257600.dy \( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) $1$ $\Z/2\Z$ $10.50255312$ $[0, 0, 0, 42100, -2742000]$ \(y^2=x^3+42100x-2742000\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 40.12.0-4.c.1.2, $\ldots$
270641.b4 270641.b \( 7 \cdot 23 \cdot 41^{2} \) $1$ $\Z/2\Z$ $9.229964177$ $[1, -1, 1, 44231, 2941776]$ \(y^2+xy+y=x^3-x^2+44231x+2941776\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 164.12.0.?, $\ldots$
297689.b4 297689.b \( 7 \cdot 23 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 48652, -3418541]$ \(y^2+xy=x^3-x^2+48652x-3418541\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 172.12.0.?, $\ldots$
311696.bu4 311696.bu \( 2^{4} \cdot 7 \cdot 11^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.188356615$ $[0, 0, 0, 50941, 3649602]$ \(y^2=x^3+50941x+3649602\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$
325703.e4 325703.e \( 7^{2} \cdot 17^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.561811423$ $[1, -1, 1, 372611, -72291684]$ \(y^2+xy+y=x^3-x^2+372611x-72291684\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 68.12.0-4.c.1.1, $\ldots$
355649.c4 355649.c \( 7 \cdot 23 \cdot 47^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 58124, -4462698]$ \(y^2+xy+y=x^3-x^2+58124x-4462698\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 184.12.0.?, $\ldots$
406847.d4 406847.d \( 7^{2} \cdot 19^{2} \cdot 23 \) $1$ $\Z/2\Z$ $29.66209460$ $[1, -1, 0, 465442, 100679431]$ \(y^2+xy=x^3-x^2+465442x+100679431\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 76.12.0.?, $\ldots$
414736.bj4 414736.bj \( 2^{4} \cdot 7^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 10912741, -11443136502]$ \(y^2=x^3+10912741x-11443136502\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
418761.bg4 418761.bg \( 3^{2} \cdot 7 \cdot 17^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 68439, -5700376]$ \(y^2+xy=x^3-x^2+68439x-5700376\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 184.12.0.?, $\ldots$
435344.z4 435344.z \( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 71149, -6024174]$ \(y^2=x^3+71149x-6024174\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$
448063.n4 448063.n \( 7 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 1684237, 693402496]$ \(y^2+xy=x^3-x^2+1684237x+693402496\) 2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 88.12.0.?, $\ldots$
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