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Results (37 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
714.f5 714.f \( 2 \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/8\Z$ $1$ $[1, 1, 1, -70244, 7127525]$ \(y^2+xy+y=x^3+x^2-70244x+7127525\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 16.96.0-16.z.1.2, 34.6.0.a.1, $\ldots$ $[ ]$
2142.h5 2142.h \( 2 \cdot 3^{2} \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $3.788988379$ $[1, -1, 0, -632196, -193075376]$ \(y^2+xy=x^3-x^2-632196x-193075376\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.z.1, $\ldots$ $[(-447, -4)]$
4998.bq5 4998.bq \( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -3441957, -2455067007]$ \(y^2+xy=x^3-3441957x-2455067007\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 28.12.0-4.c.1.2, $\ldots$ $[ ]$
5712.o5 5712.o \( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1123904, -458409420]$ \(y^2=x^3+x^2-1123904x-458409420\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 16.96.0-16.z.1.1, 34.6.0.a.1, $\ldots$ $[ ]$
12138.ba5 12138.ba \( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) $1$ $\Z/4\Z$ $1.197982560$ $[1, 0, 0, -20300522, 35159634852]$ \(y^2+xy=x^3-20300522x+35159634852\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.8, 16.96.0-16.z.1.7, 34.6.0.a.1, $\ldots$ $[(628, 150214)]$
14994.g5 14994.g \( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -30977613, 66286809189]$ \(y^2+xy=x^3-x^2-30977613x+66286809189\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
17136.bg5 17136.bg \( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $7.977817814$ $[0, 0, 0, -10115139, 12366939202]$ \(y^2=x^3-10115139x+12366939202\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 16.48.0.z.1, $\ldots$ $[(198311/11, 18406458/11)]$
17850.t5 17850.t \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -1756101, 894452848]$ \(y^2+xy+y=x^3-1756101x+894452848\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 20.12.0-4.c.1.2, $\ldots$ $[ ]$
22848.bc5 22848.bc \( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $13.18541922$ $[0, -1, 0, -4495617, -3662779743]$ \(y^2=x^3-x^2-4495617x-3662779743\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.5, 16.96.0-16.z.1.6, 34.6.0.a.1, $\ldots$ $[(-7855497/79, 139776768/79)]$
22848.cr5 22848.cr \( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -4495617, 3662779743]$ \(y^2=x^3+x^2-4495617x+3662779743\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 16.96.0-16.z.1.5, 34.6.0.a.1, $\ldots$ $[ ]$
36414.j5 36414.j \( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -182704698, -949310141004]$ \(y^2+xy=x^3-x^2-182704698x-949310141004\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0.z.1, $\ldots$ $[ ]$
39984.bj5 39984.bj \( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $11.24483851$ $[0, -1, 0, -55071312, 157124288448]$ \(y^2=x^3-x^2-55071312x+157124288448\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 28.12.0-4.c.1.1, $\ldots$ $[(7504026/41, 1025953866/41)]$
53550.cs5 53550.cs \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -15804905, -24150226903]$ \(y^2+xy+y=x^3-x^2-15804905x-24150226903\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
68544.t5 68544.t \( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $9.262429046$ $[0, 0, 0, -40460556, 98935513616]$ \(y^2=x^3-40460556x+98935513616\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 24.48.0-8.bb.1.6, $\ldots$ $[(1029184/17, 16339932/17)]$
68544.bq5 68544.bq \( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $12.05955559$ $[0, 0, 0, -40460556, -98935513616]$ \(y^2=x^3-40460556x-98935513616\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 24.48.0-8.bb.1.5, $\ldots$ $[(-1828191/22, 14099729/22)]$
84966.cr5 84966.cr \( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $4.336640854$ $[1, 1, 1, -994725579, -12060749479815]$ \(y^2+xy+y=x^3+x^2-994725579x-12060749479815\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 28.12.0-4.c.1.2, $\ldots$ $[(-18155, 131324)]$
86394.d5 86394.d \( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -8499526, -9529233644]$ \(y^2+xy=x^3+x^2-8499526x-9529233644\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
97104.bf5 97104.bf \( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.545170928$ $[0, -1, 0, -324808352, -2250216630528]$ \(y^2=x^3-x^2-324808352x-2250216630528\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.6, 16.96.0-16.z.1.8, 34.6.0.a.1, $\ldots$ $[(295058, 159966702)]$
119952.bx5 119952.bx \( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $56.79098432$ $[0, 0, 0, -495641811, -4241860146286]$ \(y^2=x^3-495641811x-4241860146286\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(-79280229889948206500749879/77519056280, 13402836570688640595309510708376846331/77519056280)]$
120666.o5 120666.o \( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -11871239, 15718529013]$ \(y^2+xy=x^3+x^2-11871239x+15718529013\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
124950.cb5 124950.cb \( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $19.55989150$ $[1, 1, 0, -86048925, -306883375875]$ \(y^2+xy=x^3+x^2-86048925x-306883375875\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(-5331975149/989, 17559095716607/989)]$
142800.ct5 142800.ct \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $5.685980441$ $[0, -1, 0, -28097608, -57244982288]$ \(y^2=x^3-x^2-28097608x-57244982288\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 20.12.0-4.c.1.1, $\ldots$ $[(-2979, 3458)]$
159936.bb5 159936.bb \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -220285249, -1256774022335]$ \(y^2=x^3-x^2-220285249x-1256774022335\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
159936.gv5 159936.gv \( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -220285249, 1256774022335]$ \(y^2=x^3+x^2-220285249x+1256774022335\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
254898.de5 254898.de \( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $29.45728770$ $[1, -1, 0, -8952530211, 325631283424789]$ \(y^2+xy=x^3-x^2-8952530211x+325631283424789\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(381264137086845/87307, 1131519944672645956759/87307)]$
257754.bb5 257754.bb \( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19^{2} \) $1$ $\Z/2\Z$ $3.384053225$ $[1, 0, 1, -25358092, -49090559926]$ \(y^2+xy+y=x^3-25358092x-49090559926\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(6034, 129650)]$
259182.fh5 259182.fh \( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 17 \) $1$ $\Z/2\Z$ $2.739096632$ $[1, -1, 1, -76495739, 257212812651]$ \(y^2+xy+y=x^3-x^2-76495739x+257212812651\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(2603, 273882)]$
291312.bp5 291312.bp \( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2923275171, 60758772299426]$ \(y^2=x^3-2923275171x+60758772299426\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 16.48.0.z.1, $\ldots$ $[ ]$
303450.bc5 303450.bc \( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -507513050, 4394954356500]$ \(y^2+xy=x^3+x^2-507513050x+4394954356500\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 20.12.0-4.c.1.2, $\ldots$ $[ ]$
361998.cn5 361998.cn \( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \) $1$ $\Z/2\Z$ $2.039371762$ $[1, -1, 1, -106841156, -424507124505]$ \(y^2+xy+y=x^3-x^2-106841156x-424507124505\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(-6087, 19605)]$
374850.ir5 374850.ir \( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -774440330, 8285076708297]$ \(y^2+xy+y=x^3-x^2-774440330x+8285076708297\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
377706.ch5 377706.ch \( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.450550953$ $[1, 1, 1, -37159087, -87092189707]$ \(y^2+xy+y=x^3+x^2-37159087x-87092189707\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(-3589, 9426)]$
388416.ba5 388416.ba \( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) $1$ $\Z/2\Z$ $5.690543078$ $[0, -1, 0, -1299233409, 18003032277633]$ \(y^2=x^3-x^2-1299233409x+18003032277633\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.2, 16.96.0-16.z.1.4, 34.6.0.a.1, $\ldots$ $[(19352, 327437)]$
388416.fi5 388416.fi \( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1299233409, -18003032277633]$ \(y^2=x^3+x^2-1299233409x-18003032277633\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.4, 16.96.0-16.z.1.3, 34.6.0.a.1, $\ldots$ $[ ]$
428400.nu5 428400.nu \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $6.866331067$ $[0, 0, 0, -252878475, 1545867400250]$ \(y^2=x^3-252878475x+1545867400250\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(1058021, 1088159744)]$
479808.ni5 479808.ni \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) $1$ $\Z/2\Z$ $103.0185660$ $[0, 0, 0, -1982567244, -33934881170288]$ \(y^2=x^3-1982567244x-33934881170288\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[(-9418840633889393679996675123957889886790401079/598747652754387534760, 28500596544004693436329724391400883259993743734724995761877908001531/598747652754387534760)]$
479808.ox5 479808.ox \( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -1982567244, 33934881170288]$ \(y^2=x^3-1982567244x+33934881170288\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 34.6.0.a.1, $\ldots$ $[ ]$
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