Cremona's table of elliptic curves

50150 = 2 · 5² · 17 · 59

Class	r	Atkin-Lehner	Eigenvalues
50150a (2 curves)	1	2+ 5+ 17+ 59+	2+  0 5+ -2 -6  2 17+ -4
Curve Equation t Generators 50150a1 [1,-1,0,-992,11916] 2 [14:18:1] 50150a2 [1,-1,0,-15742,764166] 2 [73:-32:1]
50150b (4 curves)	1	2+ 5+ 17+ 59+	2+  0 5+  4  0  2 17+ -4
Curve Equation t Generators 50150b1 [1,-1,0,-2718545792,-23803891728384] 2 [-2141500558924772000846337584427417407452683653210154205111738310089105:141040153541616981394517223679593637563337595767944806848125719932036867:47948473896189645713995700864706561430702198384061779994656529257] 50150b2 [1,-1,0,-36272977792,-2657457704976384] 4 [-8179207642521457750956263509424243984372246155896360336507300943200389060354790845573647167848631056114916076831942355146269085503912577456205:76726329263630534373260012544548437137739534920927361948000327907556800655112299888066529278549435865199287420723870023523268710176612283419127:73496294227262649692396303058320062463547163263516649482443925923557237831155607198629745972038482773406728778173486611862843735580510917] 50150b3 [1,-1,0,-29143889792,-3733144406032384] 2 [860529963157749167145000192645432583737399306790234604453587697400934016:873900890167253695284613943319899004211825854861206136634645837371802456192:809489459471266311962930393527001788600248837613653780649086240569] 50150b4 [1,-1,0,-580272977792,-170136017704976384] 2 [-452796382299877106784348841030668065066087372918359756623013340268538442962004913935654356709620714417355901161435950995240943824762342912036353366827334669038668942064576538323944708691764686798184338586846369865901192301754678078403026286997016887724307732204807531891921207001673217205:234632984302111260079591379356742716228794715471842086433618794639616579358934158886254801372039020720418498666188604627550151104447423435563824585103765702908580897112575339845384909309088413907180175183865067739794134333516489756953445911876896617058429599196972471827586678862484932527:1029554538417688172762692298031655019708026651344400605571444003208491517815032955209188278619445284456969808028789530884510641012805247638641108802941540964087198320768048941399865868248952174131554195168533315159109413343938403854780256250840833883722320786121371221653809436142317]
50150c (1 curve)	1	2+ 5+ 17+ 59+	2+  1 5+ -1  4  2 17+  1
Curve Equation t Generators 50150c1 [1,0,1,-301,-3752] 1 [71:542:1]
50150d (2 curves)	1	2+ 5+ 17+ 59+	2+ -1 5+ -2  0  7 17+  2
Curve Equation t Generators 50150d1 [1,1,0,7225,-276875] 1 [65:655:1] 50150d2 [1,1,0,-213775,-38339875] 1 [83705:24175335:1]
50150e (1 curve)	1	2+ 5+ 17+ 59+	2+  3 5+  1  0 -4 17+ -1
Curve Equation t Generators 50150e1 [1,-1,0,4658,-160684] 1 [153612:2244986:729]
50150f (1 curve)	1	2+ 5+ 17+ 59+	2+ -3 5+ -2  0 -1 17+  2
Curve Equation t Generators 50150f1 [1,-1,0,-103417,-16053509] 1 [3159:174983:1]
50150g (1 curve)	2	2+ 5+ 17+ 59-	2+  0 5+  0 -4 -4 17+ -5
Curve Equation t Generators 50150g1 [1,-1,0,28,16] 1 [0:4:1]&[14:59:8]
50150h (1 curve)	2	2+ 5+ 17+ 59-	2+ -1 5+  2  2 -5 17+ -4
Curve Equation t Generators 50150h1 [1,1,0,100,-1250] 1 [15:-70:1]&[150:625:8]
50150i (1 curve)	0	2+ 5+ 17- 59+	2+  1 5+  1 -2 -2 17-  7
Curve Equation t 50150i1 [1,0,1,-403949126,-3124948069352] 1
50150j (1 curve)	2	2+ 5+ 17- 59+	2+ -1 5+  0 -2 -4 17- -2
Curve Equation t Generators 50150j1 [1,1,0,-195950,-33063500] 1 [-261:751:1]&[-244:666:1]
50150k (2 curves)	2	2+ 5+ 17- 59+	2+ -2 5+ -2  4 -2 17-  4
Curve Equation t Generators 50150k1 [1,0,1,-770976,259087598] 2 [48245:521447:125]&[-487:23027:1] 50150k2 [1,0,1,-1242976,-95856402] 2 [-1002:12494:1]&[-623:21211:1]
50150l (1 curve)	1	2+ 5+ 17- 59-	2+  0 5+  3 -3 -1 17- -6
Curve Equation t Generators 50150l1 [1,-1,0,4258,28916] 1 [-5:89:1]
50150m (1 curve)	1	2+ 5+ 17- 59-	2+  1 5+  4 -4 -3 17-  6
Curve Equation t Generators 50150m1 [1,0,1,-8526,-2775552] 1 [20526:1028733:8]
50150n (1 curve)	0	2+ 5- 17+ 59+	2+  0 5- -2  4  2 17+  1
Curve Equation t 50150n1 [1,-1,0,-42617,-3376659] 1
50150o (1 curve)	1	2+ 5- 17+ 59-	2+ -2 5- -5  3 -3 17+  6
Curve Equation t Generators 50150o1 [1,0,1,-7201,-445452] 1 [854:147:8]
50150p (1 curve)	1	2+ 5- 17- 59+	2+  1 5-  0  4 -2 17- -2
Curve Equation t Generators 50150p1 [1,0,1,-71134826,6454403548] 1 [853403407709:37312984326833:90518849]
50150q (1 curve)	1	2+ 5- 17- 59+	2+ -1 5-  0  0  2 17-  6
Curve Equation t Generators 50150q1 [1,1,0,-34075,2142125] 1 [610:14145:1]
50150r (1 curve)	1	2+ 5- 17- 59+	2+  2 5- -1  1  3 17-  6
Curve Equation t Generators 50150r1 [1,1,0,-166825,-27015675] 1 [108145168388497311:4507635045203112795:57686957511119]
50150s (1 curve)	2	2+ 5- 17- 59-	2+  0 5- -4 -4  0 17-  3
Curve Equation t Generators 50150s1 [1,-1,0,68008,31733916] 1 [194:-7322:1]&[44:5878:1]
50150t (1 curve)	0	2- 5+ 17+ 59+	2-  1 5+  0  0 -2 17+  6
Curve Equation t 50150t1 [1,0,0,-1363,17137] 1
50150u (1 curve)	0	2- 5+ 17+ 59+	2-  1 5+ -2 -2 -3 17+  0
Curve Equation t 50150u1 [1,0,0,-2496563,-1661156383] 1
50150v (1 curve)	0	2- 5+ 17+ 59+	2-  1 5+ -4 -2  7 17+  8
Curve Equation t 50150v1 [1,0,0,-1457341363,-21413739434783] 1
50150w (1 curve)	0	2- 5+ 17+ 59+	2-  1 5+  5 -2  4 17+ -7
Curve Equation t 50150w1 [1,0,0,-2213,39917] 1
50150x (1 curve)	0	2- 5+ 17+ 59+	2- -1 5+  0 -2 -1 17+  4
Curve Equation t 50150x1 [1,1,1,-15813,-805469] 1
50150y (1 curve)	0	2- 5+ 17+ 59+	2- -1 5+  0  4  2 17+ -2
Curve Equation t 50150y1 [1,1,1,-2845393,50497071] 1
50150z (2 curves)	0	2- 5+ 17+ 59+	2- -1 5+  1  0  4 17+ -1
Curve Equation t 50150z1 [1,1,1,762,-907469] 1 50150z2 [1,1,1,-685613,-218813469] 1
50150ba (1 curve)	0	2- 5+ 17+ 59+	2- -1 5+ -4 -2  3 17+  4
Curve Equation t 50150ba1 [1,1,1,-627938,191519781] 1
50150bb (1 curve)	0	2- 5+ 17+ 59+	2- -2 5+  1  1 -3 17+  6
Curve Equation t 50150bb1 [1,0,0,-4170638,-3368618108] 1
50150bc (1 curve)	0	2- 5+ 17+ 59+	2- -3 5+  2 -2  1 17+ -8
Curve Equation t 50150bc1 [1,-1,1,-104609639730,18281803941006897] 1
50150bd (1 curve)	2	2- 5+ 17+ 59+	2- -3 5+ -4 -2 -1 17+  0
Curve Equation t Generators 50150bd1 [1,-1,1,-780,8847] 1 [9:-55:1]&[-21:135:1]
50150be (1 curve)	1	2- 5+ 17+ 59-	2-  0 5+  4 -4  0 17+  3
Curve Equation t Generators 50150be1 [1,-1,1,2720,253327] 1 [190:4503:8]
50150bf (1 curve)	1	2- 5+ 17- 59+	2-  0 5+  2  4 -2 17-  1
Curve Equation t Generators 50150bf1 [1,-1,1,-1065430,-423147803] 1 [1193:1035:1]
50150bg (2 curves)	1	2- 5+ 17- 59+	2-  0 5+ -2  4  2 17- -4
Curve Equation t Generators 50150bg1 [1,-1,1,-30805,-2073303] 2 [-10220687130:5049004913:101194696] 50150bg2 [1,-1,1,-30555,-2108803] 2 [7687756695916010:-3621877861547045241:34709780728]
50150bh (2 curves)	1	2- 5+ 17- 59+	2-  0 5+  4 -2  2 17- -4
Curve Equation t Generators 50150bh1 [1,-1,1,-130480,17936147] 2 [89:2605:1] 50150bh2 [1,-1,1,-12480,49088147] 2 [325:8741:1]
50150bi (1 curve)	1	2- 5+ 17- 59+	2-  1 5+  1 -2 -2 17-  7
Curve Equation t Generators 50150bi1 [1,0,0,25062,-6660508] 1 [148:470:1]
50150bj (2 curves)	1	2- 5+ 17- 59+	2- -1 5+  4  0 -5 17-  2
Curve Equation t Generators 50150bj1 [1,1,1,-11063,444531] 1 [3700:1243:64] 50150bj2 [1,1,1,23312,2338281] 1 [75:-2163:1]
50150bk (2 curves)	0	2- 5+ 17- 59-	2-  2 5+ -2  0  2 17-  4
Curve Equation t 50150bk1 [1,1,1,-32222088,70385910281] 2 50150bk2 [1,1,1,-515550088,4505403638281] 2
50150bl (1 curve)	0	2- 5+ 17- 59-	2-  2 5+  5  3  3 17-  6
Curve Equation t 50150bl1 [1,1,1,-288,-3679] 1
50150bm (2 curves)	0	2- 5+ 17- 59-	2- -2 5+  2 -4  2 17-  4
Curve Equation t 50150bm1 [1,0,0,-146213,-21331583] 2 50150bm2 [1,0,0,-264213,17962417] 2
50150bn (1 curve)	1	2- 5- 17+ 59+	2-  1 5-  0 -2  4 17+ -2
Curve Equation t Generators 50150bn1 [1,0,0,-7838,-264508] 1 [-52:82:1]
50150bo (1 curve)	2	2- 5- 17+ 59-	2-  0 5- -3 -3  1 17+ -6
Curve Equation t Generators 50150bo1 [1,-1,1,170,197] 1 [-1:5:1]&[5:-37:1]
50150bp (1 curve)	1	2- 5- 17- 59-	2-  0 5-  0 -4  4 17- -5
Curve Equation t Generators 50150bp1 [1,-1,1,695,2697] 1 [19:140:1]

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

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