Cremona's table of elliptic curves

65550 = 2 · 3 · 5² · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
65550a (2 curves)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+  0  2  6 -6 19+
Curve Equation t Generators 65550a1 [1,1,0,-411025,101255125] 2 [330:1135:1] 65550a2 [1,1,0,-414025,99698125] 2 [315:655:1]
65550b (1 curve)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+ -1  1  7  4 19+
Curve Equation t Generators 65550b1 [1,1,0,-62000,15744000] 1 [-4560:127280:27]
65550c (1 curve)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+  4  2 -1  3 19+
Curve Equation t Generators 65550c1 [1,1,0,-150375,22627125] 1 [1265:42480:1]
65550d (4 curves)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+  4 -4  2 -6 19+
Curve Equation t Generators 65550d1 [1,1,0,-2537070500,-50095200510000] 2 [64552867628884197084344356461400:10965520513446601955717475904490100:883034834549489754217672231] 65550d2 [1,1,0,-40800822500,-3172149517446000] 4 [144889564101420551403668841822317196822454034753205038294478595:-103646132533695425760591974547766401897700614172707638275742749110:245840475796679456658823061293337365531898650184321656471] 65550d3 [1,1,0,-41008587500,-3138210896931000] 2 [15122257626598050081243813245862317154802389640820243423180525786706966658745338727413888775457377605075296372414763419126637:-10815662207038055684532476074041031672850519166638642297607050480213102983533912330504925457165292981478756337234823144722035698:25656035535778318250605235541159553027002269982007560056518116063782656292089676289152426689012371784990253677795354417] 65550d4 [1,1,0,-652813089500,-203016799146825000] 2 [7241053874172830534424299434590043190238285429441959309378203032259812225252721063803577649666431550942842300212464425:-117617910668424006204626233111987385922187021719128036310630345963576699431142216424300452694175650172081370845821870650:7760449894906421433991466259683240294053613586146642110503115295919366007999762790333660344661011819651574144941]
65550e (2 curves)	1	2+ 3+ 5+ 19+ 23+	2+ 3+ 5+ -4 -2 -2 -2 19+
Curve Equation t Generators 65550e1 [1,1,0,-28900,1877500] 2 [-35:1705:1] 65550e2 [1,1,0,-35650,925750] 2 [-45:1585:1]
65550f (1 curve)	0	2+ 3+ 5+ 19- 23+	2+ 3+ 5+ -1 -3  5  2 19-
Curve Equation t 65550f1 [1,1,0,12350,-2175500] 1
65550g (2 curves)	0	2+ 3+ 5+ 19- 23+	2+ 3+ 5+  2  0  2  0 19-
Curve Equation t 65550g1 [1,1,0,18975,595125] 2 65550g2 [1,1,0,-89025,5023125] 2
65550h (2 curves)	0	2+ 3+ 5+ 19- 23+	2+ 3+ 5+  4  2  0  2 19-
Curve Equation t 65550h1 [1,1,0,-73204150,241051252000] 2 65550h2 [1,1,0,-1171275900,15428481626250] 2
65550i (1 curve)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+  0 -2  3  1 19-
Curve Equation t Generators 65550i1 [1,1,0,-2743750,8730491500] 1 [3015:165455:1]
65550j (2 curves)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+  0 -2  6 -2 19-
Curve Equation t Generators 65550j1 [1,1,0,-25154375,-37311796875] 2 [-712965020335300005:-16601714153125642735:401114542408749] 65550j2 [1,1,0,-135746375,577247947125] 2 [-315664935:-198154543320:226981]
65550k (2 curves)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+ -2  0  2  4 19-
Curve Equation t Generators 65550k1 [1,1,0,-53687065025,4787968592683125] 2 [131832605924348237775:10416695878743286422750:1111580505925469] 65550k2 [1,1,0,-858993433025,306430769548075125] 2 [1661884594710805:-825949188565615:3105745579]
65550l (2 curves)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+ -2  0 -5 -3 19-
Curve Equation t Generators 65550l1 [1,1,0,64100,2545000] 1 [150:15425:8] 65550l2 [1,1,0,-725650,-282311750] 1 [1245:26690:1]
65550m (1 curve)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+ -2  5 -3 -1 19-
Curve Equation t Generators 65550m1 [1,1,0,1225,35625] 1 [140:-1795:1]
65550n (1 curve)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+  3 -5 -3 -2 19-
Curve Equation t Generators 65550n1 [1,1,0,-10125,388125] 1 [50:75:1]
65550o (4 curves)	1	2+ 3+ 5+ 19- 23-	2+ 3+ 5+ -4  0 -6  2 19-
Curve Equation t Generators 65550o1 [1,1,0,-475,-315875] 2 [95:665:1] 65550o2 [1,1,0,-72475,-7443875] 4 [-165:320:1] 65550o3 [1,1,0,-141475,8909125] 2 [429:5020:1] 65550o4 [1,1,0,-1155475,-478548875] 2 [-621:320:1]
65550p (1 curve)	2	2+ 3+ 5- 19+ 23+	2+ 3+ 5- -4 -3 -1 -1 19+
Curve Equation t Generators 65550p1 [1,1,0,-40,400] 1 [4:-20:1]&[-5:25:1]
65550q (1 curve)	1	2+ 3+ 5- 19+ 23-	2+ 3+ 5- -1 -4 -4 -3 19+
Curve Equation t Generators 65550q1 [1,1,0,-1825,32125] 1 [-15:245:1]
65550r (2 curves)	1	2+ 3+ 5- 19+ 23-	2+ 3+ 5-  4 -6  2  6 19+
Curve Equation t Generators 65550r1 [1,1,0,-4610075,3951412125] 2 [3001:129476:1] 65550r2 [1,1,0,-74530075,247622612125] 2 [27255913:331411588:4913]
65550s (4 curves)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+  0  0 -2 -2 19+
Curve Equation t 65550s1 [1,0,1,52874,158648] 2 65550s2 [1,0,1,-211626,1216648] 4 65550s3 [1,0,1,-2287376,-1327263352] 2 65550s4 [1,0,1,-2367876,1398466648] 2
65550t (2 curves)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+  0 -6 -2 -2 19+
Curve Equation t 65550t1 [1,0,1,-8110921401,-280844816086052] 2 65550t2 [1,0,1,-10350409401,-113380382422052] 2
65550u (2 curves)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+  2  6  6 -4 19+
Curve Equation t 65550u1 [1,0,1,-456476,122475098] 2 65550u2 [1,0,1,-7368476,7698027098] 2
65550v (1 curve)	0	2+ 3- 5+ 19+ 23+	2+ 3- 5+ -3  3  1  4 19+
Curve Equation t 65550v1 [1,0,1,-19525026,-33307825052] 1
65550w (1 curve)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+  0  6 -7  1 19+
Curve Equation t Generators 65550w1 [1,0,1,-58426,13516748] 1 [-168:4396:1]
65550x (2 curves)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+  2  4 -2  2 19+
Curve Equation t Generators 65550x1 [1,0,1,-24251,2499398] 2 [-22:1749:1] 65550x2 [1,0,1,-461251,120489398] 2 [13206:86744:27]
65550y (1 curve)	1	2+ 3- 5+ 19+ 23-	2+ 3- 5+ -2 -1  5 -3 19+
Curve Equation t Generators 65550y1 [1,0,1,-2876,-436102] 1 [2097:94951:1]
65550z (4 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  0 -4 -6 -6 19-
Curve Equation t Generators 65550z1 [1,0,1,-2313026,-1354131052] 2 [-882:592:1] 65550z2 [1,0,1,-2441026,-1195923052] 4 [-1184:6491:1] 65550z3 [1,0,1,5010974,-7068099052] 2 [1216:28091:1] 65550z4 [1,0,1,-11941026,14802076948] 2 [-328:136851:1]
65550ba (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  2  0  1 -1 19-
Curve Equation t Generators 65550ba1 [1,0,1,9351999,72003228148] 1 [-3418:12171:1]
65550bb (2 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  2  0 -2  2 19-
Curve Equation t Generators 65550bb1 [1,0,1,-29126,-1917352] 2 [1621936:23492088:4913] 65550bb2 [1,0,1,-466126,-122529352] 2 [3533674536:-71423900216:3581577]
65550bc (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  2 -3  1  5 19-
Curve Equation t Generators 65550bc1 [1,0,1,-24501,1483648] 1 [107:246:1]
65550bd (2 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+  2 -6 -2 -4 19-
Curve Equation t Generators 65550bd1 [1,0,1,-13400376,328079675398] 2 [22312206:-11046753307:19683] 65550bd2 [1,0,1,-799832376,8632801595398] 2 [-2228:3226601:1]
65550be (2 curves)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -2  2 -2  0 19-
Curve Equation t Generators 65550be1 [1,0,1,274,266348] 2 [-9:517:1] 65550be2 [1,0,1,-60476,5612348] 2 [102:661:1]
65550bf (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -3 -1  3  6 19-
Curve Equation t Generators 65550bf1 [1,0,1,-1751,-134602] 1 [117:-1184:1]
65550bg (1 curve)	1	2+ 3- 5+ 19- 23+	2+ 3- 5+ -4  2 -3 -5 19-
Curve Equation t Generators 65550bg1 [1,0,1,-301,-2752] 1 [22:26:1]
65550bh (1 curve)	0	2+ 3- 5+ 19- 23-	2+ 3- 5+  5  5 -1 -2 19-
Curve Equation t 65550bh1 [1,0,1,221349,18029698] 1
65550bi (2 curves)	1	2+ 3- 5- 19+ 23+	2+ 3- 5- -4  0  4 -2 19+
Curve Equation t Generators 65550bi1 [1,0,1,2549,-88702] 2 [558:4961:8] 65550bi2 [1,0,1,-21201,-991202] 2 [39066:206771:216]
65550bj (2 curves)	1	2+ 3- 5- 19+ 23+	2+ 3- 5- -4 -4 -4  2 19+
Curve Equation t Generators 65550bj1 [1,0,1,-13400701,-18885750952] 2 [8227:649886:1] 65550bj2 [1,0,1,-214420701,-1208522110952] 2 [18278:980199:1]
65550bk (2 curves)	1	2+ 3- 5- 19- 23-	2+ 3- 5-  2  4 -4 -2 19-
Curve Equation t Generators 65550bk1 [1,0,1,-41,1628] 2 [23:102:1] 65550bk2 [1,0,1,-2341,43028] 2 [21:46:1]
65550bl (1 curve)	1	2+ 3- 5- 19- 23-	2+ 3- 5- -4 -5 -1 -5 19-
Curve Equation t Generators 65550bl1 [1,0,1,-5441,10624628] 1 [27:-3254:1]
65550bm (4 curves)	0	2- 3+ 5+ 19+ 23+	2- 3+ 5+  0 -4 -2  2 19+
Curve Equation t 65550bm1 [1,1,1,-92213,10739531] 4 65550bm2 [1,1,1,-92713,10616531] 4 65550bm3 [1,1,1,8537,32689031] 2 65550bm4 [1,1,1,-201963,-19317969] 2
65550bn (4 curves)	0	2- 3+ 5+ 19+ 23+	2- 3+ 5+  4  4  6 -6 19+
Curve Equation t 65550bn1 [1,1,1,8537,-1069219] 2 65550bn2 [1,1,1,-119463,-14637219] 4 65550bn3 [1,1,1,-419463,87962781] 2 65550bn4 [1,1,1,-1867463,-983029219] 2
65550bo (1 curve)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  0 -2 -1 -7 19+
Curve Equation t Generators 65550bo1 [1,1,1,437,7031] 1 [590:5051:8]
65550bp (2 curves)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  0 -2  2  2 19+
Curve Equation t Generators 65550bp1 [1,1,1,-65938,6112031] 2 [105:547:1] 65550bp2 [1,1,1,-1037938,406576031] 2 [445:5527:1]
65550bq (1 curve)	1	2- 3+ 5+ 19+ 23-	2- 3+ 5+  2  0 -5 -7 19+
Curve Equation t Generators 65550bq1 [1,1,1,-7213,1154531] 1 [175:-2388:1]
65550br (2 curves)	1	2- 3+ 5+ 19- 23+	2- 3+ 5+  1  3 -5  0 19-
Curve Equation t Generators 65550br1 [1,1,1,4787,44531] 1 [25:412:1] 65550br2 [1,1,1,-55588,-5872219] 1 [445:-7823:1]
65550bs (1 curve)	1	2- 3+ 5+ 19- 23+	2- 3+ 5+  2  0 -1 -1 19-
Curve Equation t Generators 65550bs1 [1,1,1,240287,70952464031] 1 [-3905:104352:1]
65550bt (2 curves)	1	2- 3+ 5+ 19- 23+	2- 3+ 5+ -4  6  2  2 19-
Curve Equation t Generators 65550bt1 [1,1,1,-1338,17031] 2 [-35:167:1] 65550bt2 [1,1,1,-4338,-90969] 2 [-45:147:1]
65550bu (4 curves)	0	2- 3+ 5+ 19- 23-	2- 3+ 5+  0  4 -6 -2 19-
Curve Equation t 65550bu1 [1,1,1,-7188,-1074219] 2 65550bu2 [1,1,1,-207188,-36274219] 4 65550bu3 [1,1,1,-302188,205781] 2 65550bu4 [1,1,1,-3312188,-2321554219] 2
65550bv (4 curves)	0	2- 3+ 5+ 19- 23-	2- 3+ 5+ -2  0 -2  6 19-
Curve Equation t 65550bv1 [1,1,1,-1347838,3036139031] 2 65550bv2 [1,1,1,-40787088,99898937031] 2 65550bv3 [1,1,1,12054287,-79140817969] 2 65550bv4 [1,1,1,-219118713,-1171664415969] 2
65550bw (2 curves)	0	2- 3+ 5- 19+ 23-	2- 3+ 5-  4  0 -4  2 19+
Curve Equation t 65550bw1 [1,1,1,102,-669] 2 65550bw2 [1,1,1,-848,-8269] 2
65550bx (2 curves)	0	2- 3+ 5- 19+ 23-	2- 3+ 5-  4 -4  4 -2 19+
Curve Equation t 65550bx1 [1,1,1,-536028,-151300419] 2 65550bx2 [1,1,1,-8576828,-9671607619] 2
65550by (2 curves)	0	2- 3+ 5- 19- 23+	2- 3+ 5- -2  4  4  2 19-
Curve Equation t 65550by1 [1,1,1,-1013,203531] 2 65550by2 [1,1,1,-58513,5378531] 2
65550bz (1 curve)	0	2- 3+ 5- 19- 23+	2- 3+ 5-  4 -5  1  5 19-
Curve Equation t 65550bz1 [1,1,1,-136013,1328078531] 1
65550ca (1 curve)	1	2- 3- 5+ 19+ 23+	2- 3- 5+  1 -4  4  3 19+
Curve Equation t Generators 65550ca1 [1,0,0,-73,257] 1 [16:49:1]
65550cb (1 curve)	1	2- 3- 5+ 19+ 23+	2- 3- 5+ -2 -1 -5  3 19+
Curve Equation t Generators 65550cb1 [1,0,0,-83879338,-439561831708] 1 [12782:752984:1]
65550cc (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  2  2 -6  0 19+
Curve Equation t 65550cc1 [1,0,0,71662,-9434208] 2 65550cc2 [1,0,0,-475088,-95273958] 2
65550cd (1 curve)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  2 -5 -5 -7 19+
Curve Equation t 65550cd1 [1,0,0,-16313,-46285383] 1
65550ce (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  4  2  2 -6 19+
Curve Equation t 65550ce1 [1,0,0,-13938,-464508] 2 65550ce2 [1,0,0,-205938,-35984508] 2
65550cf (2 curves)	0	2- 3- 5+ 19+ 23-	2- 3- 5+  4  2 -4  6 19+
Curve Equation t 65550cf1 [1,0,0,-12785274563,556955241319617] 2 65550cf2 [1,0,0,-204617786563,35625664927527617] 2
65550cg (4 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+  0  0 -2  6 19-
Curve Equation t Generators 65550cg1 [1,0,0,-1438,-18508] 2 [-22:62:1] 65550cg2 [1,0,0,-5938,156992] 4 [128:1160:1] 65550cg3 [1,0,0,8312,798242] 2 [6292:99415:64] 65550cg4 [1,0,0,-92188,10765742] 2 [44898:144185:216]
65550ch (1 curve)	1	2- 3- 5+ 19- 23-	2- 3- 5+  2 -3 -1  3 19-
Curve Equation t Generators 65550ch1 [1,0,0,105862920912,-352340772542208] 1 [179082:-156131316:1]
65550ci (1 curve)	1	2- 3- 5+ 19- 23-	2- 3- 5+  2 -4  5 -3 19-
Curve Equation t Generators 65550ci1 [1,0,0,12562,447492] 1 [82:-1466:1]
65550cj (2 curves)	1	2- 3- 5+ 19- 23-	2- 3- 5+ -2 -2  0 -6 19-
Curve Equation t Generators 65550cj1 [1,0,0,-878813,963805617] 2 [-404:-35195:1] 65550cj2 [1,0,0,-20980813,36926283617] 2 [1712:76769:1]
65550ck (2 curves)	2	2- 3- 5- 19+ 23+	2- 3- 5- -4 -6 -2 -6 19+
Curve Equation t Generators 65550ck1 [1,0,0,-184403,31611297] 2 [-38:-6191:1]&[238:-1223:1] 65550ck2 [1,0,0,-2981203,1980980897] 2 [-1738:44609:1]&[962:1409:1]
65550cl (1 curve)	1	2- 3- 5- 19+ 23-	2- 3- 5-  4 -3  1  1 19+
Curve Equation t Generators 65550cl1 [1,0,0,-1013,52017] 1 [52:349:1]

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

Part of Computational Number Theory
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