Cremona's table of elliptic curves

18150 = 2 · 3 · 5² · 11²

Class	r	Atkin-Lehner	Eigenvalues
18150a (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  2 11+  1 -6 -1
Curve Equation t Generators 18150a1 [1,1,0,-1465,-22205] 1 [61:316:1]
18150b (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+  2 11+  4  6  2
Curve Equation t Generators 18150b1 [1,1,0,-289775,58465125] 2 [-269:10953:1] 18150b2 [1,1,0,62225,191873125] 2 [990:34505:1]
18150c (2 curves)	1	2+ 3+ 5+ 11+	2+ 3+ 5+ -2 11+  0 -2  2
Curve Equation t Generators 18150c1 [1,1,0,-4167000,-3274506000] 2 [67177480:-4619604340:12167] 18150c2 [1,1,0,-3501500,-4354612500] 2 [2980:106610:1]
18150d (1 curve)	1	2+ 3+ 5+ 11+	2+ 3+ 5+ -5 11+ -6  1 -1
Curve Equation t Generators 18150d1 [1,1,0,-606575,271777125] 1 [-434:21513:1]
18150e (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  1 11- -5  3  5
Curve Equation t 18150e1 [1,1,0,-15513775,23505713125] 1 18150e2 [1,1,0,-43464775,-80555859875] 1
18150f (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -1 11- -1 -3  1
Curve Equation t 18150f1 [1,1,0,-373650,-82102500] 1 18150f2 [1,1,0,-5864025,5446705125] 1
18150g (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -1 11-  2  6 -2
Curve Equation t 18150g1 [1,1,0,-8450,-163500] 1 18150g2 [1,1,0,-317825,68827125] 1
18150h (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -1 11- -4  3  1
Curve Equation t 18150h1 [1,1,0,981550,-643663500] 1 18150h2 [1,1,0,-9227825,22215127125] 1
18150i (4 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  2 11- -4 -6  4
Curve Equation t 18150i1 [1,1,0,-16700,-790500] 2 18150i2 [1,1,0,13550,-3301250] 2 18150i3 [1,1,0,-243575,45991125] 2 18150i4 [1,1,0,-122575,91850125] 2
18150j (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  2 11-  5  0  1
Curve Equation t 18150j1 [1,1,0,110350,-2111820] 1 18150j2 [1,1,0,-1387025,694047765] 1
18150k (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  3 11-  2 -2  2
Curve Equation t 18150k1 [1,1,0,-240550,-45420140] 1
18150l (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  3 11-  5  7 -7
Curve Equation t 18150l1 [1,1,0,-3546875,2299132125] 1
18150m (8 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -4 11-  2  6  4
Curve Equation t 18150m1 [1,1,0,4475,-351875] 2 18150m2 [1,1,0,-56025,-4647375] 4 18150m3 [1,1,0,-40900,10402000] 2 18150m4 [1,1,0,-872775,-314195625] 2 18150m5 [1,1,0,-207275,31198875] 2 18150m6 [1,1,0,-1008900,388890000] 4 18150m7 [1,1,0,-1371900,83607000] 2 18150m8 [1,1,0,-16133900,24936765000] 2
18150n (1 curve)	0	2+ 3+ 5+ 11-	2+ 3+ 5+ -4 11-  5 -7  0
Curve Equation t 18150n1 [1,1,0,-40900,-3573500] 1
18150o (2 curves)	0	2+ 3+ 5+ 11-	2+ 3+ 5+  5 11-  5 -3  1
Curve Equation t 18150o1 [1,1,0,-21375,253125] 1 18150o2 [1,1,0,-1320750,583672500] 1
18150p (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  1 11-  1  3  5
Curve Equation t Generators 18150p1 [1,1,0,-412700,98754000] 1 [-2370:112935:8]
18150q (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  2 11-  1  4 -1
Curve Equation t Generators 18150q1 [1,1,0,-1575,-182475] 1 [105:855:1]
18150r (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  3 11- -1  3 -7
Curve Equation t Generators 18150r1 [1,1,0,-2950,56500] 1 [-15:320:1]
18150s (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  3 11-  2 -2  2
Curve Equation t Generators 18150s1 [1,1,0,-1575,-19125] 1 [-15:45:1]
18150t (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5-  3 11- -6 -2 -2
Curve Equation t Generators 18150t1 [1,1,0,-491579200,-4195219076000] 1 [-991135049842173715530532426575755:961689896919460796709222684412123:77322123692739182093787098875]
18150u (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -3 11-  0 -5  1
Curve Equation t Generators 18150u1 [1,1,0,-1575,-1380375] 1 [116:63:1]
18150v (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -4 11-  1 -2  5
Curve Equation t Generators 18150v1 [1,1,0,-200,1500] 1 [10:-30:1]
18150w (1 curve)	1	2+ 3+ 5- 11-	2+ 3+ 5- -4 11- -5 -2 -5
Curve Equation t Generators 18150w1 [1,1,0,11272600,-4263172800] 1 [26005794608:2345039645800:33698267]
18150x (2 curves)	0	2+ 3- 5+ 11+	2+ 3- 5+  0 11+ -6  6  6
Curve Equation t 18150x1 [1,0,1,-107451,6025798] 2 18150x2 [1,0,1,-1438451,663539798] 2
18150y (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  0 11-  2 -2 -8
Curve Equation t Generators 18150y1 [1,0,1,-4215401,3330881948] 2 [87:54406:1] 18150y2 [1,0,1,-4275901,3230330948] 4 [76:53867:1] 18150y3 [1,0,1,-12594651,-13157606552] 2 [-1174:3867:1] 18150y4 [1,0,1,3074849,13183246448] 2 [1726:152867:1]
18150z (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11-  1 -5 -1
Curve Equation t Generators 18150z1 [1,0,1,-751,7148] 1 [-8:116:1]
18150ba (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -1 11-  7  1  7
Curve Equation t Generators 18150ba1 [1,0,1,-2370151,1403442698] 1 [5646:69773:8]
18150bb (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+  2 11-  1 -8  5
Curve Equation t Generators 18150bb1 [1,0,1,-69941,-7273312] 1 [318:1474:1] 18150bb2 [1,0,1,376549,328944548] 1 [-56280:1060268:125]
18150bc (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  3 11-  2 -2 -2
Curve Equation t Generators 18150bc1 [1,0,1,-7626,196018] 1 [26:111:1]
18150bd (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  3 11- -6 -2  2
Curve Equation t Generators 18150bd1 [1,0,1,-162506,25200668] 1 [228:7:1]
18150be (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11- -1  7 -5
Curve Equation t Generators 18150be1 [1,0,1,-1026,4948] 1 [-8:116:1]
18150bf (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11- -3  1 -1
Curve Equation t Generators 18150bf1 [1,0,1,-1172251,453707648] 1 [442:4466:1]
18150bg (2 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -3 11- -4  7 -5
Curve Equation t Generators 18150bg1 [1,0,1,-109266,-13921052] 1 [461:5577:1] 18150bg2 [1,0,1,754674,117194548] 1 [3395:1465123:125]
18150bh (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+  4 11- -3  1 -8
Curve Equation t Generators 18150bh1 [1,0,1,4474,175448] 1 [21:517:1]
18150bi (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11-  1 -2 -5
Curve Equation t Generators 18150bi1 [1,0,1,-971,-16942] 1 [131:1386:1]
18150bj (4 curves)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11- -2 -2  8
Curve Equation t Generators 18150bj1 [1,0,1,-68126,5765648] 2 [98:132:1] 18150bj2 [1,0,1,-310126,-61026352] 4 [657:4021:1] 18150bj3 [1,0,1,-4847626,-4108476352] 2 [46032:9841696:1] 18150bj4 [1,0,1,355374,-287296352] 2 [1267:46241:1]
18150bk (1 curve)	1	2+ 3- 5+ 11-	2+ 3- 5+ -4 11- -5 -2  5
Curve Equation t Generators 18150bk1 [1,0,1,2329049,401008298] 1 [3751:246956:1]
18150bl (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5-  2 11+  1 -6  1
Curve Equation t Generators 18150bl1 [1,0,1,-4433201,3592405298] 1 [252:49786:1]
18150bm (1 curve)	1	2+ 3- 5- 11+	2+ 3- 5- -5 11+ -6  1  1
Curve Equation t Generators 18150bm1 [1,0,1,-201,-1652] 1 [43:242:1]
18150bn (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  1 11-  1  3 -5
Curve Equation t 18150bn1 [1,0,1,-1997471,-1053530062] 1
18150bo (2 curves)	0	2+ 3- 5- 11-	2+ 3- 5- -1 11-  2  6  2
Curve Equation t 18150bo1 [1,0,1,-40901,1700048] 3 18150bo2 [1,0,1,-1538276,-734409502] 1
18150bp (4 curves)	0	2+ 3- 5- 11-	2+ 3- 5-  2 11-  6  2  0
Curve Equation t 18150bp1 [1,0,1,-366,3628] 2 18150bp2 [1,0,1,-6416,197228] 2 18150bp3 [1,0,1,-3391,-365422] 2 18150bp4 [1,0,1,-100191,-12175022] 2
18150bq (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11- -1  3  7
Curve Equation t 18150bq1 [1,0,1,-14281,-615892] 1
18150br (1 curve)	0	2+ 3- 5- 11-	2+ 3- 5-  3 11-  2 -2 -2
Curve Equation t 18150br1 [1,0,1,-49701,4252048] 1
18150bs (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+  2 11+  0  2 -2
Curve Equation t 18150bs1 [1,1,1,-34438,2444531] 2 18150bs2 [1,1,1,-28938,3258531] 2
18150bt (1 curve)	0	2- 3+ 5+ 11+	2- 3+ 5+ -2 11+ -1  6  1
Curve Equation t 18150bt1 [1,1,1,-177328,28668311] 1
18150bu (2 curves)	0	2- 3+ 5+ 11+	2- 3+ 5+ -2 11+ -4 -6 -2
Curve Equation t 18150bu1 [1,1,1,-35062838,-77992395469] 2 18150bu2 [1,1,1,7529162,-255345483469] 2
18150bv (1 curve)	0	2- 3+ 5+ 11+	2- 3+ 5+  5 11+  6 -1  1
Curve Equation t 18150bv1 [1,1,1,-5013,-206469] 1
18150bw (6 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  0 11- -2  2  4
Curve Equation t Generators 18150bw1 [1,1,1,15062,-2752969] 4 [125:987:1] 18150bw2 [1,1,1,-226938,-38568969] 4 [2545:124727:1] 18150bw3 [1,1,1,-3554438,-2580778969] 2 [23022:828779:8] 18150bw4 [1,1,1,-771438,216257031] 4 [165300:7875443:64] 18150bw5 [1,1,1,-11752188,15501461031] 2 [250625160540:7951105702729:78402752] 18150bw6 [1,1,1,1497312,1250807031] 2 [748927860:42203800579:314432]
18150bx (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  1 11-  1  3 -1
Curve Equation t Generators 18150bx1 [1,1,1,-3088,60281] 1 [-5:277:1] 18150bx2 [1,1,1,-48463,-4114219] 1 [-125:162:1]
18150by (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+  1 11- -2 -6  2
Curve Equation t Generators 18150by1 [1,1,1,-1022513,212506031] 1 [171:6448:1] 18150by2 [1,1,1,-38456888,-91801187719] 1 [-3579:4573:1]
18150bz (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -1 11-  5 -3 -5
Curve Equation t Generators 18150bz1 [1,1,1,-128213,-17718469] 1 [-205:152:1] 18150bz2 [1,1,1,-359213,60359531] 1 [125:4112:1]
18150ca (4 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -2 11-  4 -2  0
Curve Equation t Generators 18150ca1 [1,1,1,-136188,-14157219] 2 [-291:1113:1] 18150ca2 [1,1,1,347812,-91597219] 2 [259:3863:1] 18150ca3 [1,1,1,-30446688,64650662781] 2 [-160524:22729857:64] 18150ca4 [1,1,1,-30416438,64785577781] 2 [-120914980004:-17010854573887:48228544]
18150cb (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -3 11- -2  2 -2
Curve Equation t Generators 18150cb1 [1,1,1,-1988,33221] 1 [21:25:1]
18150cc (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+ -3 11- -5 -7  7
Curve Equation t Generators 18150cc1 [1,1,1,-429171938,-3062290717969] 1 [-11975:605987:1]
18150cd (1 curve)	1	2- 3+ 5+ 11-	2- 3+ 5+  4 11- -5  7  0
Curve Equation t Generators 18150cd1 [1,1,1,-338,2531] 1 [9:13:1]
18150ce (2 curves)	1	2- 3+ 5+ 11-	2- 3+ 5+ -5 11- -5  3 -1
Curve Equation t Generators 18150ce1 [1,1,1,-2586438,-349841469] 1 [-555:30527:1] 18150ce2 [1,1,1,-159810813,-777667151469] 1 [-7305:4452:1]
18150cf (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5- -1 11- -1 -3 -5
Curve Equation t 18150cf1 [1,1,1,-49936763,-131691257719] 1
18150cg (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5- -2 11- -1  8  5
Curve Equation t 18150cg1 [1,1,1,15062,2637581] 1 18150cg2 [1,1,1,-1748513,-909163969] 1
18150ch (4 curves)	0	2- 3+ 5- 11-	2- 3+ 5- -2 11- -6 -2  0
Curve Equation t 18150ch1 [1,1,1,-9138,453531] 2 18150ch2 [1,1,1,-160388,24653531] 2 18150ch3 [1,1,1,-84763,-45677719] 2 18150ch4 [1,1,1,-2504763,-1521877719] 2
18150ci (2 curves)	0	2- 3+ 5- 11-	2- 3+ 5-  3 11-  4 -7 -5
Curve Equation t 18150ci1 [1,1,1,30187,949631] 1 18150ci2 [1,1,1,-2731638,-1740131469] 1
18150cj (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5- -3 11-  1 -3  7
Curve Equation t 18150cj1 [1,1,1,-357013,-76986469] 1
18150ck (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5- -3 11- -2  2 -2
Curve Equation t 18150ck1 [1,1,1,-190638,24502281] 1
18150cl (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5- -3 11-  6  2  2
Curve Equation t 18150cl1 [1,1,1,-4062638,3150083531] 1
18150cm (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  4 11- -1  2 -5
Curve Equation t 18150cm1 [1,1,1,-24263,-2117719] 1
18150cn (1 curve)	0	2- 3+ 5- 11-	2- 3+ 5-  4 11-  5  2  5
Curve Equation t 18150cn1 [1,1,1,93162,3245331] 1
18150co (2 curves)	1	2- 3- 5+ 11+	2- 3- 5+  0 11+  6 -6 -6
Curve Equation t Generators 18150co1 [1,0,0,-888,-4608] 2 [-18:84:1] 18150co2 [1,0,0,-11888,-499608] 2 [-62:40:1]
18150cp (6 curves)	0	2- 3- 5+ 11-	2- 3- 5+  0 11-  6  2  4
Curve Equation t 18150cp1 [1,0,0,771312,-24715008] 2 18150cp2 [1,0,0,-3100688,-198955008] 4 18150cp3 [1,0,0,-35770688,-82167985008] 2 18150cp4 [1,0,0,-32382688,70634202992] 4 18150cp5 [1,0,0,-517532188,4531583855492] 2 18150cp6 [1,0,0,-15745188,143123790492] 2
18150cq (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  1 11- -1  5  1
Curve Equation t 18150cq1 [1,0,0,-90813,-9605133] 1
18150cr (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  1 11- -7 -1 -7
Curve Equation t 18150cr1 [1,0,0,-19588,-1056208] 1
18150cs (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -2 11- -1 -4 -1
Curve Equation t 18150cs1 [1,0,0,-39388,-22730608] 1
18150ct (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  0  5  1
Curve Equation t 18150ct1 [1,0,0,-63,-11043] 1
18150cu (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  1 -7  5
Curve Equation t 18150cu1 [1,0,0,-124088,-6710208] 1
18150cv (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  3 11-  3 -1  1
Curve Equation t 18150cv1 [1,0,0,-9688,-341758] 1
18150cw (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11- -2  2  2
Curve Equation t 18150cw1 [1,0,0,-63,-153] 1
18150cx (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -3 11-  6  2 -2
Curve Equation t 18150cx1 [1,0,0,-19663168,-33561752608] 1
18150cy (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  4 11- -1  2  5
Curve Equation t 18150cy1 [1,0,0,-8,12] 1
18150cz (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  2  2 -4
Curve Equation t 18150cz1 [1,0,0,-121804713,-488875916583] 2 18150cz2 [1,0,0,-369612713,2133180531417] 4 18150cz3 [1,0,0,-5544540713,158897274435417] 2 18150cz4 [1,0,0,840387287,13181690531417] 2
18150da (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+  4 11-  5  2 -5
Curve Equation t 18150da1 [1,0,0,281814987,-533460229983] 1
18150db (1 curve)	0	2- 3- 5+ 11-	2- 3- 5+ -4 11-  3 -1  8
Curve Equation t 18150db1 [1,0,0,541412,-232980208] 1
18150dc (4 curves)	0	2- 3- 5+ 11-	2- 3- 5+ -4 11- -6  2 -4
Curve Equation t 18150dc1 [1,0,0,-6113,-3783] 2 18150dc2 [1,0,0,-66613,6590717] 4 18150dc3 [1,0,0,-1064863,422860967] 2 18150dc4 [1,0,0,-36363,12610467] 2
18150dd (1 curve)	0	2- 3- 5- 11+	2- 3- 5- -2 11+ -1  6 -1
Curve Equation t 18150dd1 [1,0,0,-36638,-2702358] 1
18150de (1 curve)	0	2- 3- 5- 11+	2- 3- 5-  5 11+  6 -1 -1
Curve Equation t 18150de1 [1,0,0,-24263,2174217] 1
18150df (2 curves)	1	2- 3- 5- 11-	2- 3- 5-  1 11- -2 -6 -2
Curve Equation t Generators 18150df1 [1,0,0,-338,-1308] 1 [-8:34:1] 18150df2 [1,0,0,-12713,550617] 1 [58:67:1]
18150dg (2 curves)	1	2- 3- 5- 11-	2- 3- 5-  1 11-  4 -3  1
Curve Equation t Generators 18150dg1 [1,0,0,39262,-5149308] 1 [142:1744:1] 18150dg2 [1,0,0,-369113,177721017] 1 [-254:16099:1]
18150dh (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -1 11- -1 -3  5
Curve Equation t Generators 18150dh1 [1,0,0,-16508,790032] 1 [-8:964:1]
18150di (2 curves)	1	2- 3- 5- 11-	2- 3- 5- -2 11- -5  0  1
Curve Equation t Generators 18150di1 [1,0,0,2758737,-269494983] 1 [8502:794349:1] 18150di2 [1,0,0,-34675638,86825321892] 1 [9228:738810:1]
18150dj (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -3 11-  1 -3 -7
Curve Equation t Generators 18150dj1 [1,0,0,-118,452] 1 [2:14:1]
18150dk (1 curve)	1	2- 3- 5- 11-	2- 3- 5- -3 11- -2  2  2
Curve Equation t Generators 18150dk1 [1,0,0,-6013763,-5665489983] 1 [-1442:3625:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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