Cremona's table of elliptic curves

45045 = 3² · 5 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
45045a (1 curve)	1	3+ 5+ 7+ 11+ 13+	0 3+ 5+ 7+ 11+ 13+  7  3
Curve Equation t Generators 45045a1 [0,0,1,-42678,-3399396] 1 [3248:184723:1]
45045b (2 curves)	1	3+ 5+ 7+ 11+ 13+	-1 3+ 5+ 7+ 11+ 13+  2 -4
Curve Equation t Generators 45045b1 [1,-1,1,-20543,1247782] 2 [2:1097:1] 45045b2 [1,-1,1,-337418,75523282] 2 [2:8650:1]
45045c (1 curve)	2	3+ 5+ 7+ 11- 13+	-2 3+ 5+ 7+ 11- 13+ -2 -4
Curve Equation t Generators 45045c1 [0,0,1,-32913,2316944] 1 [64:687:1]&[108:148:1]
45045d (2 curves)	1	3+ 5+ 7+ 11- 13-	1 3+ 5+ 7+ 11- 13-  4 -2
Curve Equation t Generators 45045d1 [1,-1,0,-15,-344] 2 [20:74:1] 45045d2 [1,-1,0,-840,-9089] 2 [270:-37:8]
45045e (1 curve)	2	3+ 5+ 7- 11+ 13+	-2 3+ 5+ 7- 11+ 13+  2 -4
Curve Equation t Generators 45045e1 [0,0,1,-1923,35178] 1 [82:1025:8]&[-34:247:1]
45045f (2 curves)	1	3+ 5+ 7- 11+ 13-	0 3+ 5+ 7- 11+ 13- -3 -1
Curve Equation t Generators 45045f1 [0,0,1,-3708,87573] 3 [34:2141:8] 45045f2 [0,0,1,11502,462584] 1 [66:-1229:1]
45045g (1 curve)	0	3+ 5- 7+ 11+ 13+	2 3+ 5- 7+ 11+ 13+  2 -4
Curve Equation t 45045g1 [0,0,1,-3657,-85813] 1
45045h (2 curves)	1	3+ 5- 7+ 11+ 13-	-1 3+ 5- 7+ 11+ 13- -4 -2
Curve Equation t Generators 45045h1 [1,-1,1,-137,9424] 2 [4:-97:1] 45045h2 [1,-1,1,-7562,252964] 2 [-41:722:1]
45045i (1 curve)	1	3+ 5- 7+ 11- 13+	0 3+ 5- 7+ 11- 13+ -7  3
Curve Equation t Generators 45045i1 [0,0,1,-384102,91783685] 1 [903:21937:1]
45045j (2 curves)	1	3+ 5- 7+ 11- 13+	1 3+ 5- 7+ 11- 13+ -2 -4
Curve Equation t Generators 45045j1 [1,-1,0,-184884,-33505237] 2 [1178:36591:1] 45045j2 [1,-1,0,-3036759,-2036091862] 2 [-1006:646:1]
45045k (1 curve)	0	3+ 5- 7- 11- 13+	2 3+ 5- 7- 11- 13+ -2 -4
Curve Equation t 45045k1 [0,0,1,-17307,-949813] 1
45045l (2 curves)	1	3+ 5- 7- 11- 13-	0 3+ 5- 7- 11- 13-  3 -1
Curve Equation t Generators 45045l1 [0,0,1,1278,-17133] 3 [17:97:1] 45045l2 [0,0,1,-33372,-2364478] 1 [6450:177953:8]
45045m (4 curves)	2	3- 5+ 7+ 11+ 13+	-1 3- 5+ 7+ 11+ 13+  6 -4
Curve Equation t Generators 45045m1 [1,-1,1,-653,35012] 2 [-27:193:1]&[-12:208:1] 45045m2 [1,-1,1,-20498,1130456] 4 [108:-464:1]&[-138:1216:1] 45045m3 [1,-1,1,-30893,-129418] 2 [-153:1075:1]&[-17:633:1] 45045m4 [1,-1,1,-327623,72260606] 2 [330:-143:1]&[60:7237:1]
45045n (1 curve)	0	3- 5+ 7+ 11+ 13+	2 3- 5+ 7+ 11+ 13+  5  5
Curve Equation t 45045n1 [0,0,1,-10007163,-19774739257] 1
45045o (6 curves)	1	3- 5+ 7+ 11+ 13-	1 3- 5+ 7+ 11+ 13- -2  4
Curve Equation t Generators 45045o1 [1,-1,0,-34965,-4850744] 2 [1894:1573:8] 45045o2 [1,-1,0,-693810,-222137825] 4 [-1930864:704405:4096] 45045o3 [1,-1,0,-829935,-128674400] 4 [-3386:98569:8] 45045o4 [1,-1,0,-11099205,-14229880574] 2 [-7189694641264:3597912613685:3738308608] 45045o5 [1,-1,0,2934540,-974175485] 2 [19494:1139609:8] 45045o6 [1,-1,0,-6772410,6696852385] 2 [-12146:934819:8]
45045p (2 curves)	1	3- 5+ 7+ 11+ 13-	1 3- 5+ 7+ 11+ 13- -6  6
Curve Equation t Generators 45045p1 [1,-1,0,-7795905,8384621336] 2 [4966:489645:8] 45045p2 [1,-1,0,-124753200,536353242425] 2 [6448:-3341:1]
45045q (2 curves)	1	3- 5+ 7+ 11- 13+	1 3- 5+ 7+ 11- 13+  2 -2
Curve Equation t Generators 45045q1 [1,-1,0,-180,2835] 2 [38:345:8] 45045q2 [1,-1,0,-4275,108486] 2 [30:66:1]
45045r (4 curves)	1	3- 5+ 7+ 11- 13+	-1 3- 5+ 7+ 11- 13+  2  8
Curve Equation t Generators 45045r1 [1,-1,1,6352,-4385078] 2 [160:761:1] 45045r2 [1,-1,1,-366293,-82938644] 4 [-392:740:1] 45045r3 [1,-1,1,-878168,200435356] 2 [821:5276:1] 45045r4 [1,-1,1,-5816738,-5398212608] 2 [-1393:740:1]
45045s (1 curve)	1	3- 5+ 7+ 11- 13+	-2 3- 5+ 7+ 11- 13+  5  1
Curve Equation t Generators 45045s1 [0,0,1,-334533,-77819112] 1 [2099:92020:1]
45045t (1 curve)	2	3- 5+ 7+ 11- 13-	0 3- 5+ 7+ 11- 13- -8  8
Curve Equation t Generators 45045t1 [0,0,1,-48,378] 1 [-62:131:8]&[-4:22:1]
45045u (6 curves)	0	3- 5+ 7+ 11- 13-	1 3- 5+ 7+ 11- 13- -2  4
Curve Equation t 45045u1 [1,-1,0,-544227075,-4886517473064] 2 45045u2 [1,-1,0,-561805200,-4553985051189] 4 45045u3 [1,-1,0,817697925,-23408206061814] 2 45045u4 [1,-1,0,-2222558325,35582100021936] 4 45045u5 [1,-1,0,3367687050,185750625432411] 2 45045u6 [1,-1,0,-34384853700,2454103090253961] 4
45045v (6 curves)	0	3- 5+ 7+ 11- 13-	1 3- 5+ 7+ 11- 13- -2  4
Curve Equation t 45045v1 [1,-1,0,157950,-34750625] 2 45045v2 [1,-1,0,-1127295,-361459904] 4 45045v3 [1,-1,0,-5880420,5177831971] 4 45045v4 [1,-1,0,-16938090,-26825568575] 2 45045v5 [1,-1,0,4781205,21859010446] 2 45045v6 [1,-1,0,-92592045,342954295996] 2
45045w (6 curves)	0	3- 5+ 7+ 11- 13-	1 3- 5+ 7+ 11- 13- -2 -4
Curve Equation t 45045w1 [1,-1,0,-81135,-10587024] 2 45045w2 [1,-1,0,-1366380,-614395125] 4 45045w3 [1,-1,0,-1434825,-549386064] 4 45045w4 [1,-1,0,-21861855,-39338545590] 2 45045w5 [1,-1,0,2778930,-3171184425] 2 45045w6 [1,-1,0,-6743700,6232170861] 2
45045x (6 curves)	0	3- 5+ 7+ 11- 13-	1 3- 5+ 7+ 11- 13-  6  4
Curve Equation t 45045x1 [1,-1,0,5445,-44024] 2 45045x2 [1,-1,0,-22680,-342149] 4 45045x3 [1,-1,0,-212805,37568776] 4 45045x4 [1,-1,0,-282555,-57670574] 2 45045x5 [1,-1,0,-69480,87245221] 2 45045x6 [1,-1,0,-3398130,2411910031] 2
45045y (4 curves)	1	3- 5+ 7- 11+ 13+	1 3- 5+ 7- 11+ 13+  2 -4
Curve Equation t Generators 45045y1 [1,-1,0,-11880,499851] 2 [18:531:1] 45045y2 [1,-1,0,-17325,0] 4 [1134:4347:8] 45045y3 [1,-1,0,69300,-51975] 2 [4218:244969:216] 45045y4 [1,-1,0,-191070,-32003829] 2 [29646:1776519:8]
45045z (4 curves)	1	3- 5+ 7- 11+ 13+	-1 3- 5+ 7- 11+ 13+  2  0
Curve Equation t Generators 45045z1 [1,-1,1,-263,1342] 2 [22:65:1] 45045z2 [1,-1,1,-1388,-18458] 4 [-22:43:1] 45045z3 [1,-1,1,1087,-78848] 2 [77:637:1] 45045z4 [1,-1,1,-21863,-1238768] 2 [-85:43:1]
45045ba (2 curves)	1	3- 5+ 7- 11+ 13+	-1 3- 5+ 7- 11+ 13+  6  2
Curve Equation t Generators 45045ba1 [1,-1,1,562,5852] 2 [0:76:1] 45045ba2 [1,-1,1,-3533,59906] 2 [-42:385:1]
45045bb (4 curves)	1	3- 5+ 7- 11+ 13+	-1 3- 5+ 7- 11+ 13+ -6  4
Curve Equation t Generators 45045bb1 [1,-1,1,-10553,720312] 2 [42:-613:1] 45045bb2 [1,-1,1,-200678,34638612] 4 [302:-1380:1] 45045bb3 [1,-1,1,-232853,22811082] 2 [75:2363:1] 45045bb4 [1,-1,1,-3210503,2214955842] 2 [1037:-393:1]
45045bc (1 curve)	1	3- 5+ 7- 11+ 13+	2 3- 5+ 7- 11+ 13+  5 -3
Curve Equation t Generators 45045bc1 [0,0,1,-671103,211607903] 1 [3762:815:8]
45045bd (4 curves)	1	3- 5+ 7- 11- 13-	1 3- 5+ 7- 11- 13-  6  0
Curve Equation t Generators 45045bd1 [1,-1,0,-3960,-3590325] 2 [16038:709425:8] 45045bd2 [1,-1,0,-376605,-87882624] 4 [-10626180:-24062694:29791] 45045bd3 [1,-1,0,-708300,90635625] 2 [48:7509:1] 45045bd4 [1,-1,0,-6007230,-5665579749] 2 [-8392541361579720:4157859327606549:5933673188864]
45045be (4 curves)	1	3- 5+ 7- 11- 13-	-1 3- 5+ 7- 11- 13- -2 -4
Curve Equation t Generators 45045be1 [1,-1,1,-598028,178153526] 2 [448:-179:1] 45045be2 [1,-1,1,-601673,175874672] 4 [-552:18703:1] 45045be3 [1,-1,1,92902,557613092] 2 [-678:13852:1] 45045be4 [1,-1,1,-1354568,-351754144] 2 [-695:16272:1]
45045bf (4 curves)	1	3- 5- 7+ 11+ 13+	-1 3- 5- 7+ 11+ 13+  2 -4
Curve Equation t Generators 45045bf1 [1,-1,1,1867603,-1292493004] 2 [2986:174294:1] 45045bf2 [1,-1,1,-12599402,-13132289896] 4 [-2088:64831:1] 45045bf3 [1,-1,1,-68655857,207976791206] 2 [3366:120829:1] 45045bf4 [1,-1,1,-188015027,-992161976146] 2 [-7863:781:1]
45045bg (4 curves)	0	3- 5- 7+ 11- 13+	1 3- 5- 7+ 11- 13+  2  8
Curve Equation t 45045bg1 [1,-1,0,-1764,28795] 2 45045bg2 [1,-1,0,-2889,-11480] 4 45045bg3 [1,-1,0,11286,-99365] 2 45045bg4 [1,-1,0,-35064,-2514695] 2
45045bh (4 curves)	1	3- 5- 7+ 11- 13-	-1 3- 5- 7+ 11- 13-  6  8
Curve Equation t Generators 45045bh1 [1,-1,1,19948,1096926] 4 [-46:306:1] 45045bh2 [1,-1,1,-116177,10516776] 4 [89:891:1] 45045bh3 [1,-1,1,-717602,-225722964] 2 [72342:6811477:8] 45045bh4 [1,-1,1,-1692752,847993416] 2 [6102:237:8]
45045bi (1 curve)	0	3- 5- 7- 11+ 13+	0 3- 5- 7- 11+ 13+  4  4
Curve Equation t 45045bi1 [0,0,1,-11993862,-16349676935] 1
45045bj (2 curves)	1	3- 5- 7- 11+ 13-	0 3- 5- 7- 11+ 13-  0 -4
Curve Equation t Generators 45045bj1 [0,0,1,-659532,-214695450] 1 [16642:688901:8] 45045bj2 [0,0,1,3430158,-518992443] 3 [2386:184271:8]
45045bk (2 curves)	1	3- 5- 7- 11+ 13-	0 3- 5- 7- 11+ 13-  3 -7
Curve Equation t Generators 45045bk1 [0,0,1,-4332,-131373] 1 [850:6233:8] 45045bk2 [0,0,1,31308,922680] 3 [-22:472:1]
45045bl (2 curves)	1	3- 5- 7- 11+ 13-	-1 3- 5- 7- 11+ 13- -2 -2
Curve Equation t Generators 45045bl1 [1,-1,1,-25099232,-97886898286] 2 [27972:-4605899:1] 45045bl2 [1,-1,1,-506871887,-4389324999964] 2 [-12894:-43166:1]
45045bm (1 curve)	1	3- 5- 7- 11+ 13-	2 3- 5- 7- 11+ 13-  7  1
Curve Equation t Generators 45045bm1 [0,0,1,-99867,370399095] 1 [-3950:138407:8]
45045bn (1 curve)	1	3- 5- 7- 11- 13+	0 3- 5- 7- 11- 13+ -3 -1
Curve Equation t Generators 45045bn1 [0,0,1,-180192,-29441178] 1 [13145410:133613609:24389]
45045bo (1 curve)	1	3- 5- 7- 11- 13+	0 3- 5- 7- 11- 13+  4 -8
Curve Equation t Generators 45045bo1 [0,0,1,-643291752,6280006520385] 1 [3953:1949062:1]
45045bp (1 curve)	1	3- 5- 7- 11- 13+	0 3- 5- 7- 11- 13+ -7 -5
Curve Equation t Generators 45045bp1 [0,0,1,-60402,5731960] 1 [178:787:1]
45045bq (4 curves)	1	3- 5- 7- 11- 13+	1 3- 5- 7- 11- 13+ -2  4
Curve Equation t Generators 45045bq1 [1,-1,0,576,-15957] 2 [82:719:1] 45045bq2 [1,-1,0,-7029,-203040] 4 [-402:1371:8] 45045bq3 [1,-1,0,-26334,1430163] 2 [-98:1799:1] 45045bq4 [1,-1,0,-109404,-13900815] 2 [-1522:811:8]
45045br (2 curves)	1	3- 5- 7- 11- 13+	-1 3- 5- 7- 11- 13+  6 -2
Curve Equation t Generators 45045br1 [1,-1,1,-6932,1098406] 2 [316:5354:1] 45045br2 [1,-1,1,-207587,36333424] 2 [232:671:1]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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