Cremona's table of elliptic curves

117150 = 2 · 3 · 5² · 11 · 71

Class	r	Atkin-Lehner	Eigenvalues
117150a (6 curves)	1	2+ 3+ 5+ 11+ 71+	2+ 3+ 5+  0 11+ -6  6  4
Curve Equation t Generators 117150a1 [1,1,0,31750,4623556500] 2 [47345:10278515:1] 117150a2 [1,1,0,-41440250,100963012500] 4 [296863780:3230319310:68921] 117150a3 [1,1,0,-86440250,-157381987500] 4 [-476648687249814641:-29014694055690045169:77641352850781] 117150a4 [1,1,0,-659992250,6525862636500] 2 [16940:446630:1] 117150a5 [1,1,0,291634750,-1162683412500] 2 [54381131054156614086687459013399:-9148514944332210486233620318031809:4648608123366411924046096141] 117150a6 [1,1,0,-1184515250,-15685260562500] 2 [-138459210261608700100701449395049:-374381661745706331975532458833041:7041632431878423576246956509]
117150b (1 curve)	1	2+ 3+ 5+ 11+ 71+	2+ 3+ 5+  2 11+ -5  2  2
Curve Equation t Generators 117150b1 [1,1,0,170,10] 1 [1:13:1]
117150c (1 curve)	1	2+ 3+ 5+ 11+ 71+	2+ 3+ 5+ -2 11+  1  0  1
Curve Equation t Generators 117150c1 [1,1,0,-520,-2240] 1 [-16:56:1]
117150d (1 curve)	1	2+ 3+ 5+ 11+ 71+	2+ 3+ 5+ -3 11+  2 -5  2
Curve Equation t Generators 117150d1 [1,1,0,-26845,1821565] 1 [-6:1411:1]
117150e (2 curves)	1	2+ 3+ 5+ 11+ 71+	2+ 3+ 5+ -4 11+ -2 -4  8
Curve Equation t Generators 117150e1 [1,1,0,-3119750,-2122237500] 2 [39836920:-2895130110:6859] 117150e2 [1,1,0,-3114250,-2130086000] 2 [2490:73330:1]
117150f (2 curves)	0	2+ 3+ 5+ 11+ 71-	2+ 3+ 5+  4 11+  4 -6  0
Curve Equation t 117150f1 [1,1,0,-1245525,-542041875] 2 117150f2 [1,1,0,-19995525,-34423291875] 2
117150g (1 curve)	0	2+ 3+ 5+ 11- 71+	2+ 3+ 5+  2 11- -1 -4 -3
Curve Equation t 117150g1 [1,1,0,-52825,-4422875] 1
117150h (1 curve)	0	2+ 3+ 5+ 11- 71+	2+ 3+ 5+ -2 11- -1  0  0
Curve Equation t 117150h1 [1,1,0,-9075,-6397875] 1
117150i (4 curves)	2	2+ 3+ 5+ 11- 71+	2+ 3+ 5+ -4 11-  2  2 -4
Curve Equation t Generators 117150i1 [1,1,0,3275,-33875] 2 [15:130:1]&[26:251:1] 117150i2 [1,1,0,-14725,-303875] 4 [-90:595:1]&[-610:5255:8] 117150i3 [1,1,0,-121225,15990625] 2 [-400:1025:1]&[-114:5381:1] 117150i4 [1,1,0,-196225,-33518375] 2 [-255:265:1]&[-2018:1735:8]
117150j (1 curve)	0	2+ 3+ 5- 11+ 71+	2+ 3+ 5- -4 11+ -2  1 -2
Curve Equation t 117150j1 [1,1,0,1500,-10800] 1
117150k (2 curves)	1	2+ 3+ 5- 11+ 71-	2+ 3+ 5-  0 11+ -2 -6  4
Curve Equation t Generators 117150k1 [1,1,0,-400700,97434000] 2 [349:326:1] 117150k2 [1,1,0,-345700,125209000] 2 [1349:45326:1]
117150l (1 curve)	1	2+ 3+ 5- 11+ 71-	2+ 3+ 5-  0 11+  3  2  0
Curve Equation t Generators 117150l1 [1,1,0,550,-129750] 1 [382:535:8]
117150m (1 curve)	1	2+ 3+ 5- 11+ 71-	2+ 3+ 5- -4 11+  0 -3 -4
Curve Equation t Generators 117150m1 [1,1,0,-80209200,-276528096000] 1 [5466705:1114352349:125]
117150n (1 curve)	2	2+ 3+ 5- 11- 71-	2+ 3+ 5-  0 11- -1 -2 -4
Curve Equation t Generators 117150n1 [1,1,0,183925,67432125] 1 [-265:545:1]&[-1570:39835:8]
117150o (1 curve)	0	2+ 3+ 5- 11- 71-	2+ 3+ 5- -1 11-  2  7  6
Curve Equation t 117150o1 [1,1,0,-6328075,6124472125] 1
117150p (2 curves)	0	2+ 3+ 5- 11- 71-	2+ 3+ 5-  2 11- -4  7  0
Curve Equation t 117150p1 [1,1,0,-31500,-2281950] 1 117150p2 [1,1,0,87425,139457125] 1
117150q (1 curve)	0	2+ 3- 5+ 11+ 71+	2+ 3- 5+  0 11+  0 -5  0
Curve Equation t 117150q1 [1,0,1,-61601,-6371692] 1
117150r (1 curve)	0	2+ 3- 5+ 11+ 71+	2+ 3- 5+ -2 11+ -1  2 -2
Curve Equation t 117150r1 [1,0,1,-1111715326,14267343272048] 1
117150s (2 curves)	0	2+ 3- 5+ 11+ 71+	2+ 3- 5+  4 11+  4  2  0
Curve Equation t 117150s1 [1,0,1,-27526,2767448] 2 117150s2 [1,0,1,-507526,139087448] 2
117150t (2 curves)	1	2+ 3- 5+ 11+ 71-	2+ 3- 5+  2 11+  2  0 -4
Curve Equation t Generators 117150t1 [1,0,1,1974,163948] 2 [17:441:1] 117150t2 [1,0,1,-35526,2413948] 2 [142:416:1]
117150u (2 curves)	1	2+ 3- 5+ 11+ 71-	2+ 3- 5+ -2 11+  6  4  4
Curve Equation t Generators 117150u1 [1,0,1,3893449,-88583670502] 2 [7812:-650894:1] 117150u2 [1,0,1,-276042551,-1721730294502] 2 [-10482:146992:1]
117150v (1 curve)	1	2+ 3- 5+ 11+ 71-	2+ 3- 5+ -2 11+ -6  3  6
Curve Equation t Generators 117150v1 [1,0,1,-556,-5782] 1 [28:14:1]
117150w (1 curve)	1	2+ 3- 5+ 11- 71+	2+ 3- 5+  0 11-  6 -3 -2
Curve Equation t Generators 117150w1 [1,0,1,-171,-872] 1 [598:4791:8]
117150x (1 curve)	1	2+ 3- 5+ 11- 71+	2+ 3- 5+  2 11-  1  6 -6
Curve Equation t Generators 117150x1 [1,0,1,-45951,4233298] 1 [118:617:1]
117150y (1 curve)	1	2+ 3- 5+ 11- 71+	2+ 3- 5+ -2 11- -5 -8 -5
Curve Equation t Generators 117150y1 [1,0,1,-27006,338368] 1 [-7:729:1]
117150z (1 curve)	0	2+ 3- 5+ 11- 71-	2+ 3- 5+  4 11- -4 -3  4
Curve Equation t 117150z1 [1,0,1,14,-52] 1
117150ba (1 curve)	0	2+ 3- 5+ 11- 71-	2+ 3- 5+ -4 11-  3  0  2
Curve Equation t 117150ba1 [1,0,1,-14076,-667952] 1
117150bb (1 curve)	1	2+ 3- 5- 11+ 71+	2+ 3- 5- -1 11+ -2  3 -2
Curve Equation t Generators 117150bb1 [1,0,1,124,-203902] 1 [513:11359:1]
117150bc (2 curves)	1	2+ 3- 5- 11+ 71+	2+ 3- 5-  2 11+  2 -3  2
Curve Equation t Generators 117150bc1 [1,0,1,17174,-9202] 3 [10166:359263:8] 117150bc2 [1,0,1,-235951,-47191702] 1 [2889163030:94750313039:2197000]
117150bd (2 curves)	1	2+ 3- 5- 11+ 71+	2+ 3- 5- -4 11+  2  0  0
Curve Equation t Generators 117150bd1 [1,0,1,-15076,2798] 2 [-2:182:1] 117150bd2 [1,0,1,-166326,26017798] 2 [86:3471:1]
117150be (2 curves)	0	2+ 3- 5- 11- 71+	2+ 3- 5-  2 11-  5  0 -1
Curve Equation t 117150be1 [1,0,1,-251191201,1532309615048] 3 117150be2 [1,0,1,-363123076,35526511298] 1
117150bf (1 curve)	0	2+ 3- 5- 11- 71+	2+ 3- 5- -5 11- -2  7  6
Curve Equation t 117150bf1 [1,0,1,5800699,2841857648] 1
117150bg (2 curves)	0	2- 3+ 5+ 11+ 71+	2- 3+ 5+  0 11+  6  0  4
Curve Equation t 117150bg1 [1,1,1,-39063,-2715219] 2 117150bg2 [1,1,1,48937,-13099219] 2
117150bh (1 curve)	0	2- 3+ 5+ 11+ 71+	2- 3+ 5+  1 11+  2 -3 -2
Curve Equation t 117150bh1 [1,1,1,3112,-25487719] 1
117150bi (2 curves)	0	2- 3+ 5+ 11+ 71+	2- 3+ 5+ -2 11+ -2  3  2
Curve Equation t 117150bi1 [1,1,1,687,201] 1 117150bi2 [1,1,1,-9438,-381309] 1
117150bj (4 curves)	1	2- 3+ 5+ 11+ 71-	2- 3+ 5+  0 11+  2  2 -4
Curve Equation t Generators 117150bj1 [1,1,1,-4588,70781] 2 [15:67:1] 117150bj2 [1,1,1,-65088,6362781] 4 [-1810:25651:8] 117150bj3 [1,1,1,-56838,8045781] 2 [162836:8100093:64] 117150bj4 [1,1,1,-1041338,408577781] 2 [20910:987191:8]
117150bk (2 curves)	1	2- 3+ 5+ 11- 71+	2- 3+ 5+  2 11-  2 -4  0
Curve Equation t Generators 117150bk1 [1,1,1,-2698588,2930590781] 2 [-35:55017:1] 117150bk2 [1,1,1,-51298588,141343390781] 2 [1921:222405:1]
117150bl (2 curves)	1	2- 3+ 5+ 11- 71+	2- 3+ 5+ -2 11- -5  0 -1
Curve Equation t Generators 117150bl1 [1,1,1,-10047648,12254457861] 1 [1221:41915:1] 117150bl2 [1,1,1,-14524923,278402121] 1 [-15183591:7558699482:205379]
117150bm (4 curves)	1	2- 3+ 5+ 11- 71+	2- 3+ 5+ -4 11- -6  6  8
Curve Equation t Generators 117150bm1 [1,1,1,-20438,-1095469] 2 [225:2287:1] 117150bm2 [1,1,1,-52438,3128531] 4 [-155:2827:1] 117150bm3 [1,1,1,145562,21344531] 2 [25:4987:1] 117150bm4 [1,1,1,-762438,255888531] 2 [-605:22577:1]
117150bn (1 curve)	1	2- 3+ 5+ 11- 71+	2- 3+ 5+  5 11-  2 -7  6
Curve Equation t Generators 117150bn1 [1,1,1,145017487,355232206031] 1 [-139008129:3056877472:59319]
117150bo (1 curve)	1	2- 3+ 5- 11+ 71+	2- 3+ 5-  0 11+  0  5  0
Curve Equation t Generators 117150bo1 [1,1,1,-1540013,-796461469] 1 [2391:94708:1]
117150bp (1 curve)	1	2- 3+ 5- 11+ 71+	2- 3+ 5-  2 11+  1 -2 -2
Curve Equation t Generators 117150bp1 [1,1,1,-44468613,114120958731] 1 [3811:-6280:1]
117150bq (2 curves)	1	2- 3+ 5- 11+ 71+	2- 3+ 5-  4 11+ -2  0  0
Curve Equation t Generators 117150bq1 [1,1,1,-603,-219] 2 [1245:6644:27] 117150bq2 [1,1,1,-6653,205481] 2 [-178:4771:8]
117150br (1 curve)	0	2- 3+ 5- 11+ 71-	2- 3+ 5-  2 11+  6 -3  6
Curve Equation t 117150br1 [1,1,1,-13888,-722719] 1
117150bs (1 curve)	0	2- 3+ 5- 11- 71+	2- 3+ 5-  0 11- -6  3 -2
Curve Equation t 117150bs1 [1,1,1,-4263,-108969] 1
117150bt (1 curve)	0	2- 3+ 5- 11- 71+	2- 3+ 5-  2 11-  5  8 -5
Curve Equation t 117150bt1 [1,1,1,-675138,42296031] 1
117150bu (1 curve)	2	2- 3+ 5- 11- 71+	2- 3+ 5- -2 11- -1 -6 -6
Curve Equation t Generators 117150bu1 [1,1,1,-1838,33131] 1 [-45:187:1]&[65:-473:1]
117150bv (1 curve)	1	2- 3+ 5- 11- 71-	2- 3+ 5-  4 11- -3  0  2
Curve Equation t Generators 117150bv1 [1,1,1,-563,-5569] 1 [270:851:8]
117150bw (1 curve)	1	2- 3+ 5- 11- 71-	2- 3+ 5- -4 11-  4  3  4
Curve Equation t Generators 117150bw1 [1,1,1,362,-6469] 1 [35:207:1]
117150bx (1 curve)	1	2- 3- 5+ 11+ 71+	2- 3- 5+  4 11+  2 -1 -2
Curve Equation t Generators 117150bx1 [1,0,0,37487,-1424983] 1 [38:215:1]
117150by (1 curve)	0	2- 3- 5+ 11+ 71-	2- 3- 5+  0 11+ -3 -2  0
Curve Equation t 117150by1 [1,0,0,22,-1038] 1
117150bz (1 curve)	0	2- 3- 5+ 11+ 71-	2- 3- 5+  4 11+  0  3 -4
Curve Equation t 117150bz1 [1,0,0,-3208368,-2212224768] 1
117150ca (1 curve)	1	2- 3- 5+ 11- 71-	2- 3- 5+  0 11-  1  2 -4
Curve Equation t Generators 117150ca1 [1,0,0,7357,539457] 1 [156:-2421:1]
117150cb (4 curves)	1	2- 3- 5+ 11- 71-	2- 3- 5+  0 11-  2 -2  0
Curve Equation t Generators 117150cb1 [1,0,0,64712,-8655808] 2 [368:7880:1] 117150cb2 [1,0,0,-447288,-89039808] 4 [-384:5304:1] 117150cb3 [1,0,0,-2391288,1347576192] 2 [-1092:52092:1] 117150cb4 [1,0,0,-6695288,-6668183808] 2 [-1484:904:1]
117150cc (1 curve)	1	2- 3- 5+ 11- 71-	2- 3- 5+  1 11- -2 -7  6
Curve Equation t Generators 117150cc1 [1,0,0,-253123,48995777] 1 [7842:-3877:27]
117150cd (2 curves)	1	2- 3- 5+ 11- 71-	2- 3- 5+ -2 11-  4 -7  0
Curve Equation t Generators 117150cd1 [1,0,0,3497,1115657] 5 [-22:1025:1] 117150cd2 [1,0,0,-787513,-283668733] 1 [1422443330:88585194713:343000]
117150ce (2 curves)	1	2- 3- 5+ 11- 71-	2- 3- 5+ -2 11- -4  0  4
Curve Equation t Generators 117150ce1 [1,0,0,325412,141995792] 2 [212:-14956:1] 117150ce2 [1,0,0,-2914588,1629155792] 2 [-1492:52292:1]
117150cf (1 curve)	0	2- 3- 5- 11+ 71+	2- 3- 5-  2 11+ -1  0  1
Curve Equation t 117150cf1 [1,0,0,-13013,-253983] 1
117150cg (1 curve)	0	2- 3- 5- 11+ 71+	2- 3- 5- -2 11+  5 -2  2
Curve Equation t 117150cg1 [1,0,0,4237,-7233] 1
117150ch (1 curve)	0	2- 3- 5- 11+ 71+	2- 3- 5-  3 11+ -2  5  2
Curve Equation t 117150ch1 [1,0,0,-671138,229037892] 1
117150ci (2 curves)	1	2- 3- 5- 11+ 71-	2- 3- 5-  0 11+  2  6  4
Curve Equation t Generators 117150ci1 [1,0,0,-16028,779472] 2 [82:-176:1] 117150ci2 [1,0,0,-13828,1001672] 2 [38:-748:1]
117150cj (1 curve)	1	2- 3- 5- 11- 71+	2- 3- 5-  2 11-  1  0  0
Curve Equation t Generators 117150cj1 [1,0,0,-363,-51183] 1 [132:1419:1]
117150ck (1 curve)	1	2- 3- 5- 11- 71+	2- 3- 5- -2 11-  1  4 -3
Curve Equation t Generators 117150ck1 [1,0,0,-2113,-35383] 1 [-28:59:1]

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