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Results (46 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
285.c4 285.c \( 3 \cdot 5 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 23, -176]$ \(y^2+xy=x^3+x^2+23x-176\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.z.1.10, $\ldots$ $[ ]$
855.a4 855.a \( 3^{2} \cdot 5 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 202, 4956]$ \(y^2+xy+y=x^3-x^2+202x+4956\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ $[ ]$
1425.c4 1425.c \( 3 \cdot 5^{2} \cdot 19 \) $0$ $\Z/4\Z$ $1$ $[1, 0, 0, 562, -23133]$ \(y^2+xy=x^3+562x-23133\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.4, 152.24.0.?, 190.6.0.?, $\ldots$ $[ ]$
4275.j4 4275.j \( 3^{2} \cdot 5^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 5058, 624591]$ \(y^2+xy=x^3-x^2+5058x+624591\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[ ]$
4560.w4 4560.w \( 2^{4} \cdot 3 \cdot 5 \cdot 19 \) $1$ $\Z/2\Z$ $0.213379982$ $[0, 1, 0, 360, 11988]$ \(y^2=x^3+x^2+360x+11988\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.z.1.2, $\ldots$ $[(6, 120)]$
5415.e4 5415.e \( 3 \cdot 5 \cdot 19^{2} \) $0$ $\Z/4\Z$ $1$ $[1, 0, 0, 8115, 1272600]$ \(y^2+xy=x^3+8115x+1272600\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.13, 152.24.0.?, 190.6.0.?, $\ldots$ $[ ]$
13680.h4 13680.h \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 3237, -320438]$ \(y^2=x^3+3237x-320438\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.1, $\ldots$ $[ ]$
13965.t4 13965.t \( 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 1101, 63697]$ \(y^2+xy+y=x^3+1101x+63697\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ $[ ]$
16245.j4 16245.j \( 3^{2} \cdot 5 \cdot 19^{2} \) $1$ $\Z/2\Z$ $9.848441229$ $[1, -1, 0, 73035, -34360200]$ \(y^2+xy=x^3-x^2+73035x-34360200\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[(524968/31, 378375588/31)]$
18240.b4 18240.b \( 2^{6} \cdot 3 \cdot 5 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1439, 94465]$ \(y^2=x^3-x^2+1439x+94465\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.z.1.9, 152.24.0.?, $\ldots$ $[ ]$
18240.ce4 18240.ce \( 2^{6} \cdot 3 \cdot 5 \cdot 19 \) $1$ $\Z/2\Z$ $2.048622712$ $[0, 1, 0, 1439, -94465]$ \(y^2=x^3+x^2+1439x-94465\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.z.1.1, 152.24.0.?, $\ldots$ $[(89, 864)]$
22800.bn4 22800.bn \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) $1$ $\Z/2\Z$ $1.589422652$ $[0, -1, 0, 8992, 1480512]$ \(y^2=x^3-x^2+8992x+1480512\) 2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.z.1.12, 152.24.0.?, 190.6.0.?, $\ldots$ $[(232, 4000)]$
27075.n4 27075.n \( 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 202875, 159075000]$ \(y^2+xy=x^3+x^2+202875x+159075000\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 20.12.0-4.c.1.2, 40.24.0-40.z.1.7, $\ldots$ $[ ]$
34485.e4 34485.e \( 3 \cdot 5 \cdot 11^{2} \cdot 19 \) $2$ $\Z/2\Z$ $1.566706401$ $[1, 1, 1, 2720, 247952]$ \(y^2+xy+y=x^3+x^2+2720x+247952\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 88.12.0.?, 152.12.0.?, $\ldots$ $[(-38, 321), (32, 591)]$
41895.k4 41895.k \( 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $2.430697178$ $[1, -1, 1, 9913, -1719826]$ \(y^2+xy+y=x^3-x^2+9913x-1719826\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 168.12.0.?, $\ldots$ $[(142, 1521)]$
48165.a4 48165.a \( 3 \cdot 5 \cdot 13^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 3799, -405826]$ \(y^2+xy+y=x^3+x^2+3799x-405826\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 104.12.0.?, 152.12.0.?, $\ldots$ $[ ]$
54720.co4 54720.co \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) $2$ $\Z/2\Z$ $3.441842621$ $[0, 0, 0, 12948, -2563504]$ \(y^2=x^3+12948x-2563504\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[(202, 2880), (112, 540)]$
54720.fa4 54720.fa \( 2^{6} \cdot 3^{2} \cdot 5 \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 12948, 2563504]$ \(y^2=x^3+12948x+2563504\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[ ]$
68400.gf4 68400.gf \( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 80925, -40054750]$ \(y^2=x^3+80925x-40054750\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[ ]$
69825.o4 69825.o \( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $6.990676841$ $[1, 1, 1, 27537, 7962156]$ \(y^2+xy+y=x^3+x^2+27537x+7962156\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.z.1, 152.12.0.?, $\ldots$ $[(9646, 942755)]$
81225.f4 81225.f \( 3^{2} \cdot 5^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $4.267559398$ $[1, -1, 1, 1825870, -4293199128]$ \(y^2+xy+y=x^3-x^2+1825870x-4293199128\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ $[(13134, 1505120)]$
82365.n4 82365.n \( 3 \cdot 5 \cdot 17^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 6496, -910519]$ \(y^2+xy+y=x^3+6496x-910519\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 136.12.0.?, 152.12.0.?, $\ldots$ $[ ]$
86640.y4 86640.y \( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 129840, -81446400]$ \(y^2=x^3-x^2+129840x-81446400\) 2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.z.1.5, 152.24.0.?, 190.6.0.?, $\ldots$ $[ ]$
91200.h4 91200.h \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 35967, -11880063]$ \(y^2=x^3-x^2+35967x-11880063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.z.1.11, 152.24.0.?, $\ldots$ $[ ]$
91200.jh4 91200.jh \( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) $1$ $\Z/2\Z$ $2.622849429$ $[0, 1, 0, 35967, 11880063]$ \(y^2=x^3+x^2+35967x+11880063\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 152.24.0.?, $\ldots$ $[(-27, 3300)]$
103455.t4 103455.t \( 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 24480, -6670229]$ \(y^2+xy=x^3-x^2+24480x-6670229\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[ ]$
144495.bn4 144495.bn \( 3^{2} \cdot 5 \cdot 13^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 34191, 10991488]$ \(y^2+xy=x^3-x^2+34191x+10991488\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[ ]$
150765.s4 150765.s \( 3 \cdot 5 \cdot 19 \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.922019022$ $[1, 1, 0, 11892, 2261187]$ \(y^2+xy=x^3+x^2+11892x+2261187\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 184.12.0.?, $\ldots$ $[(57481/8, 13683305/8)]$
172425.cl4 172425.cl \( 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 67999, 30858023]$ \(y^2+xy+y=x^3+67999x+30858023\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0-4.c.1.2, 152.12.0.?, $\ldots$ $[ ]$
209475.cz4 209475.cz \( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 247833, -214730384]$ \(y^2+xy=x^3-x^2+247833x-214730384\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 84.12.0.?, 152.12.0.?, $\ldots$ $[ ]$
223440.k4 223440.k \( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) $1$ $\Z/2\Z$ $4.197068980$ $[0, -1, 0, 17624, -4076624]$ \(y^2=x^3-x^2+17624x-4076624\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ $[(140, 1056)]$
239685.f4 239685.f \( 3 \cdot 5 \cdot 19 \cdot 29^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, 18905, -4521088]$ \(y^2+xy=x^3+18905x-4521088\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[ ]$
240825.cg4 240825.cg \( 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \) $1$ $\Z/2\Z$ $5.680371928$ $[1, 0, 1, 94974, -50918177]$ \(y^2+xy+y=x^3+94974x-50918177\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 52.12.0-4.c.1.2, 152.12.0.?, $\ldots$ $[(48923/2, 10775523/2)]$
247095.g4 247095.g \( 3^{2} \cdot 5 \cdot 17^{2} \cdot 19 \) $1$ $\Z/2\Z$ $3.335846713$ $[1, -1, 1, 58468, 24584006]$ \(y^2+xy+y=x^3-x^2+58468x+24584006\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[(64, 5314)]$
259920.k4 259920.k \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) $2$ $\Z/2\Z$ $14.04705077$ $[0, 0, 0, 1168557, 2197884242]$ \(y^2=x^3+1168557x+2197884242\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[(937, 64152), (-407, 40680)]$
265335.o4 265335.o \( 3 \cdot 5 \cdot 7^{2} \cdot 19^{2} \) $1$ $\Z/2\Z$ $21.56727762$ $[1, 1, 1, 397634, -436104166]$ \(y^2+xy+y=x^3+x^2+397634x-436104166\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.z.1, 152.12.0.?, $\ldots$ $[(17892679556/2465, 2406021844706934/2465)]$
273600.cb4 273600.cb \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) $1$ $\Z/2\Z$ $3.000337191$ $[0, 0, 0, 323700, 320438000]$ \(y^2=x^3+323700x+320438000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[(-44, 17496)]$
273600.on4 273600.on \( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) $1$ $\Z/2\Z$ $6.227395241$ $[0, 0, 0, 323700, -320438000]$ \(y^2=x^3+323700x-320438000\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.z.1, 120.24.0.?, $\ldots$ $[(436640/7, 289048500/7)]$
273885.z4 273885.z \( 3 \cdot 5 \cdot 19 \cdot 31^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 21602, 5526203]$ \(y^2+xy+y=x^3+21602x+5526203\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[ ]$
346560.cr4 346560.cr \( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 519359, 651051841]$ \(y^2=x^3-x^2+519359x+651051841\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.z.1.6, 152.24.0.?, $\ldots$ $[ ]$
346560.fw4 346560.fw \( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 519359, -651051841]$ \(y^2=x^3+x^2+519359x-651051841\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.14, 152.24.0.?, $\ldots$ $[ ]$
390165.e4 390165.e \( 3 \cdot 5 \cdot 19 \cdot 37^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 30774, -9380202]$ \(y^2+xy+y=x^3+x^2+30774x-9380202\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[ ]$
411825.n4 411825.n \( 3 \cdot 5^{2} \cdot 17^{2} \cdot 19 \) $1$ $\Z/2\Z$ $15.20667935$ $[1, 1, 1, 162412, -113814844]$ \(y^2+xy+y=x^3+x^2+162412x-113814844\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 68.12.0-4.c.1.2, 152.12.0.?, $\ldots$ $[(33425736/95, 192620541149/95)]$
433200.kp4 433200.kp \( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 3245992, -10174308012]$ \(y^2=x^3+x^2+3245992x-10174308012\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 20.12.0-4.c.1.1, 40.24.0-40.z.1.15, $\ldots$ $[ ]$
452295.k4 452295.k \( 3^{2} \cdot 5 \cdot 19 \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.393238599$ $[1, -1, 1, 107023, -60945024]$ \(y^2+xy+y=x^3-x^2+107023x-60945024\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[(46961, 10153359)]$
479085.m4 479085.m \( 3 \cdot 5 \cdot 19 \cdot 41^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 37787, -12777469]$ \(y^2+xy+y=x^3+37787x-12777469\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 152.12.0.?, 190.6.0.?, $\ldots$ $[ ]$
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