Cremona's table of elliptic curves

100674 = 2 · 3² · 7 · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
100674a (1 curve)	1	2+ 3+ 7- 17+ 47-	2+ 3+ -2 7-  1  4 17+  4
Curve Equation t Generators 100674a1 [1,-1,0,-918,10964] 1 [19:-20:1]
100674b (2 curves)	0	2+ 3- 7+ 17+ 47+	2+ 3-  0 7+  6  6 17+  2
Curve Equation t 100674b1 [1,-1,0,-2142,-84780] 2 100674b2 [1,-1,0,-44982,-3657636] 2
100674c (4 curves)	0	2+ 3- 7+ 17+ 47+	2+ 3-  2 7+  4 -6 17+ -4
Curve Equation t 100674c1 [1,-1,0,-21726,312340] 2 100674c2 [1,-1,0,-206046,-35703788] 4 100674c3 [1,-1,0,-70686,-82023980] 2 100674c4 [1,-1,0,-3290526,-2296627628] 2
100674d (4 curves)	0	2+ 3- 7+ 17+ 47+	2+ 3- -2 7+ -4  2 17+  4
Curve Equation t 100674d1 [1,-1,0,-220938723,1264080845461] 2 100674d2 [1,-1,0,-220941603,1264046244565] 4 100674d3 [1,-1,0,-208606923,1411408666525] 2 100674d4 [1,-1,0,-233322363,1114469330701] 2
100674e (2 curves)	1	2+ 3- 7+ 17+ 47-	2+ 3-  0 7+  4  0 17+ -4
Curve Equation t Generators 100674e1 [1,-1,0,-734697,-242213895] 2 [20070:926325:8] 100674e2 [1,-1,0,-11755287,-15510139281] 2 [106920570:86949787:27000]
100674f (2 curves)	1	2+ 3- 7+ 17+ 47-	2+ 3-  2 7+ -2  0 17+  2
Curve Equation t Generators 100674f1 [1,-1,0,1539,44869] 2 [5:-232:1] 100674f2 [1,-1,0,-13581,519637] 2 [-61:1088:1]
100674g (4 curves)	1	2+ 3- 7+ 17+ 47-	2+ 3- -2 7+  0  2 17+  0
Curve Equation t Generators 100674g1 [1,-1,0,46062,-27563004] 2 [1704:69834:1] 100674g2 [1,-1,0,-1134918,-443504160] 4 [-17853:121891:27] 100674g3 [1,-1,0,-3241728,1681424406] 2 [489:14349:1] 100674g4 [1,-1,0,-17923788,-29202838470] 2 [-452301441:268943773:185193]
100674h (2 curves)	1	2+ 3- 7+ 17+ 47-	2+ 3- -4 7+  0  0 17+ -6
Curve Equation t Generators 100674h1 [1,-1,0,-355312629,2578453719349] 2 [6906:670339:1] 100674h2 [1,-1,0,-5685294069,164998978140469] 2 [44085:-221957:1]
100674i (1 curve)	1	2+ 3- 7+ 17- 47+	2+ 3-  3 7+ -1 -2 17-  0
Curve Equation t Generators 100674i1 [1,-1,0,-2028348,1140357712] 1 [552:13460:1]
100674j (2 curves)	1	2+ 3- 7+ 17- 47+	2+ 3-  4 7+  2  2 17-  4
Curve Equation t Generators 100674j1 [1,-1,0,-5604795,789318373] 2 [-466686:-69072257:1331] 100674j2 [1,-1,0,-56500155,-162635682587] 2 [-87338342025:536809491367:20796875]
100674k (2 curves)	0	2+ 3- 7+ 17- 47-	2+ 3-  0 7+  2  4 17-  6
Curve Equation t 100674k1 [1,-1,0,2196693,8036093317] 2 100674k2 [1,-1,0,-49241547,126313182373] 2
100674l (2 curves)	0	2+ 3- 7+ 17- 47-	2+ 3-  0 7+ -4  0 17-  0
Curve Equation t 100674l1 [1,-1,0,-127453842,-569043028652] 2 100674l2 [1,-1,0,-2054813202,-35850898000940] 2
100674m (2 curves)	2	2+ 3- 7+ 17- 47-	2+ 3- -4 7+  0 -4 17- -4
Curve Equation t Generators 100674m1 [1,-1,0,126,6304] 2 [11:-100:1]&[-10:68:1] 100674m2 [1,-1,0,-4464,111874] 2 [-73:248:1]&[21:154:1]
100674n (2 curves)	1	2+ 3- 7- 17+ 47+	2+ 3-  0 7-  0 -2 17+  0
Curve Equation t Generators 100674n1 [1,-1,0,1413,-53807] 2 [32:137:1] 100674n2 [1,-1,0,-15597,-662765] 2 [-63:290:1]
100674o (2 curves)	1	2+ 3- 7- 17+ 47+	2+ 3-  0 7-  4  2 17+ -4
Curve Equation t Generators 100674o1 [1,-1,0,-96237,-12501851] 2 [425:4607:1] 100674o2 [1,-1,0,-1577997,-762568763] 2 [5129:352472:1]
100674p (1 curve)	1	2+ 3- 7- 17+ 47+	2+ 3-  1 7-  3  1 17+ -6
Curve Equation t Generators 100674p1 [1,-1,0,15651,1354117] 1 [47:-1504:1]
100674q (2 curves)	1	2+ 3- 7- 17+ 47+	2+ 3-  2 7-  2 -2 17+  4
Curve Equation t Generators 100674q1 [1,-1,0,10899,1109605] 2 [83:1565:1] 100674q2 [1,-1,0,-117621,13781677] 2 [251:32:1]
100674r (2 curves)	2	2+ 3- 7- 17+ 47-	2+ 3-  0 7- -2 -6 17+ -6
Curve Equation t Generators 100674r1 [1,-1,0,-38367,-8562407] 2 [308:2807:1]&[402:6191:1] 100674r2 [1,-1,0,-905877,-331102625] 2 [-543:953:1]&[1109:4670:1]
100674s (2 curves)	2	2+ 3- 7- 17+ 47-	2+ 3-  0 7- -6  2 17+  2
Curve Equation t Generators 100674s1 [1,-1,0,-102807,12717085] 2 [-13:3755:1]&[89:2021:1] 100674s2 [1,-1,0,-1645047,812522749] 2 [-3474:305827:8]&[635:4547:1]
100674t (4 curves)	0	2+ 3- 7- 17+ 47-	2+ 3- -2 7-  0  6 17+  8
Curve Equation t 100674t1 [1,-1,0,-169218,-27132476] 2 100674t2 [1,-1,0,-2718198,-1724243360] 4 100674t3 [1,-1,0,-2728908,-1709962646] 2 100674t4 [1,-1,0,-43491168,-110384208410] 2
100674u (1 curve)	0	2+ 3- 7- 17+ 47-	2+ 3- -3 7-  3 -7 17+  2
Curve Equation t 100674u1 [1,-1,0,103536369,-4717659509267] 1
100674v (2 curves)	0	2+ 3- 7- 17+ 47-	2+ 3-  4 7-  0 -4 17+ -8
Curve Equation t 100674v1 [1,-1,0,-77985,-16661187] 2 100674v2 [1,-1,0,-1565145,-752805387] 2
100674w (2 curves)	0	2+ 3- 7- 17+ 47-	2+ 3-  4 7-  2  2 17+ -2
Curve Equation t 100674w1 [1,-1,0,-124965,-47094507] 2 100674w2 [1,-1,0,-2866725,-1864881387] 2
100674x (1 curve)	0	2+ 3- 7- 17+ 47-	2+ 3-  4 7-  3  0 17+  2
Curve Equation t 100674x1 [1,-1,0,0,238] 1
100674y (2 curves)	1	2+ 3- 7- 17- 47-	2+ 3-  0 7- -2  4 17-  2
Curve Equation t Generators 100674y1 [1,-1,0,-61992,6096384] 2 [120:-672:1] 100674y2 [1,-1,0,-998352,384198552] 2 [1:19575:1]
100674z (4 curves)	1	2+ 3- 7- 17- 47-	2+ 3-  0 7-  6 -4 17-  2
Curve Equation t Generators 100674z1 [1,-1,0,-20710784592,-1147204948292352] 2 [2887993598962897111120975089632592450:342192369115046714675179006367541516843:16729549465833822937254556375000] 100674z2 [1,-1,0,-331372559952,-73421362206339840] 2 [198341458085239662316071022915574457842936703466752645327056643103950:-619977449232416879085411785855953514855043175311152451775184478667358547:20234535916715908123692775362203386844567343282544670902625000] 100674z3 [1,-1,0,-18564608592,-1394258024187648] 6 [7327228995369263826:6246251294958243557811:9709947287704] 100674z4 [1,-1,0,-331387502832,-73414409367222432] 6 [154985710847557896742460127294:95014580540463336994765987958949:180085479335047297393192]
100674ba (2 curves)	1	2+ 3- 7- 17- 47-	2+ 3- -4 7-  2  0 17-  6
Curve Equation t Generators 100674ba1 [1,-1,0,-15174,-785376] 2 [246:3090:1] 100674ba2 [1,-1,0,-249264,-47837466] 2 [705:10893:1]
100674bb (1 curve)	0	2- 3+ 7- 17- 47+	2- 3+  2 7- -1  4 17-  4
Curve Equation t 100674bb1 [1,-1,1,-8264,-287765] 1
100674bc (2 curves)	1	2- 3- 7+ 17+ 47+	2- 3-  0 7+  2  6 17+  0
Curve Equation t Generators 100674bc1 [1,-1,1,-3372800,-2383305181] 2 [-73061139:32359529:68921] 100674bc2 [1,-1,1,-3338960,-2433496669] 2 [45319772095:-3075305502537:8615125]
100674bd (1 curve)	0	2- 3- 7+ 17+ 47-	2- 3- -4 7+ -3  0 17+ -6
Curve Equation t 100674bd1 [1,-1,1,-10189877,-12556380315] 1
100674be (1 curve)	0	2- 3- 7+ 17- 47+	2- 3-  4 7+ -1 -4 17- -2
Curve Equation t 100674be1 [1,-1,1,-417083,-175360341] 1
100674bf (2 curves)	0	2- 3- 7+ 17- 47+	2- 3- -4 7+  6  4 17-  4
Curve Equation t 100674bf1 [1,-1,1,-4758017,-3993761775] 2 100674bf2 [1,-1,1,-76129457,-255649459215] 2
100674bg (2 curves)	1	2- 3- 7+ 17- 47-	2- 3-  0 7+  0  6 17-  0
Curve Equation t Generators 100674bg1 [1,-1,1,-2519435,-1538595557] 2 [6283:477098:1] 100674bg2 [1,-1,1,-2542475,-1509002981] 2 [-809:4634:1]
100674bh (2 curves)	1	2- 3- 7+ 17- 47-	2- 3-  2 7+ -2  2 17-  0
Curve Equation t Generators 100674bh1 [1,-1,1,-42404,737223] 2 [261:2589:1] 100674bh2 [1,-1,1,-411044,-100712505] 2 [-355:789:1]
100674bi (2 curves)	1	2- 3- 7+ 17- 47-	2- 3-  2 7+  4 -4 17-  6
Curve Equation t Generators 100674bi1 [1,-1,1,1426,399705] 2 [190:5247:8] 100674bi2 [1,-1,1,-73544,7476873] 2 [-14124:237095:64]
100674bj (1 curve)	0	2- 3- 7- 17+ 47+	2- 3-  1 7-  3 -3 17+  2
Curve Equation t 100674bj1 [1,-1,1,-23140247,42856663673] 1
100674bk (1 curve)	0	2- 3- 7- 17+ 47+	2- 3-  1 7- -3 -1 17+ -6
Curve Equation t 100674bk1 [1,-1,1,-18242229542,1065739498703957] 1
100674bl (2 curves)	0	2- 3- 7- 17+ 47+	2- 3- -2 7- -6 -4 17+  6
Curve Equation t 100674bl1 [1,-1,1,-305006,102009881] 2 100674bl2 [1,-1,1,-5619416,5127315977] 2
100674bm (2 curves)	0	2- 3- 7- 17+ 47+	2- 3-  4 7-  0  6 17+ -4
Curve Equation t 100674bm1 [1,-1,1,-1913,16409] 2 100674bm2 [1,-1,1,-14873,-683431] 2
100674bn (2 curves)	0	2- 3- 7- 17+ 47+	2- 3-  4 7-  6  2 17+  0
Curve Equation t 100674bn1 [1,-1,1,-66623,-6575641] 2 100674bn2 [1,-1,1,-32783,-13275961] 2
100674bo (4 curves)	1	2- 3- 7- 17+ 47-	2- 3-  0 7-  0  2 17+ -4
Curve Equation t Generators 100674bo1 [1,-1,1,-15130400,-22623411517] 2 [-2291:4561:1] 100674bo2 [1,-1,1,-19329440,-9058832701] 2 [-3983:70773:1] 100674bo3 [1,-1,1,-58939655,151361965055] 6 [-296711177:-27390922986:50653] 100674bo4 [1,-1,1,-908286215,10536152484863] 6 [-23261:4379406:1]
100674bp (2 curves)	1	2- 3- 7- 17+ 47-	2- 3-  0 7-  3 -4 17+  2
Curve Equation t Generators 100674bp1 [1,-1,1,4059843790,13515913887959] 1 [-49765313614168122:-26604078734379753163:17906587283528] 100674bp2 [1,-1,1,-60153189035,5964945254884883] 3 [-282099:22155706:1]
100674bq (2 curves)	1	2- 3- 7- 17+ 47-	2- 3-  0 7- -4 -2 17+  8
Curve Equation t Generators 100674bq1 [1,-1,1,-1265,-15519] 2 [-21:48:1] 100674bq2 [1,-1,1,-4505,99825] 2 [-55:450:1]
100674br (2 curves)	1	2- 3- 7- 17+ 47-	2- 3- -2 7-  2 -4 17+ -2
Curve Equation t Generators 100674br1 [1,-1,1,35464,-1685509] 2 [207:-3911:1] 100674br2 [1,-1,1,-171896,-14624773] 2 [-195:3481:1]
100674bs (2 curves)	1	2- 3- 7- 17+ 47-	2- 3- -3 7- -3 -1 17+  2
Curve Equation t Generators 100674bs1 [1,-1,1,-480029,-176240563] 1 [106905:719306:125] 100674bs2 [1,-1,1,3795556,2256381407] 3 [-543:6193:1]
100674bt (2 curves)	1	2- 3- 7- 17- 47+	2- 3-  0 7-  3 -4 17-  2
Curve Equation t Generators 100674bt1 [1,-1,1,-635,-134197] 1 [63:238:1] 100674bt2 [1,-1,1,5710,3619505] 3 [-135:679:1]

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