Cremona's table of elliptic curves

15015 = 3 · 5 · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
15015a (4 curves)	1	3+ 5+ 7+ 11+ 13+	-1 3+ 5+ 7+ 11+ 13+ -2  8
Curve Equation t Generators 15015a1 [1,1,1,-196,-1132] 2 [-8:4:1] 15015a2 [1,1,1,-321,318] 4 [-8:53:1] 15015a3 [1,1,1,-3896,91838] 2 [49:122:1] 15015a4 [1,1,1,1254,4098] 2 [27:228:1]
15015b (4 curves)	0	3+ 5+ 7+ 11+ 13-	1 3+ 5+ 7+ 11+ 13- -6  8
Curve Equation t 15015b1 [1,1,0,2217,-39888] 2 15015b2 [1,1,0,-12908,-393813] 4 15015b3 [1,1,0,-188083,-31469858] 2 15015b4 [1,1,0,-79733,8333532] 2
15015c (1 curve)	0	3+ 5+ 7- 11+ 13+	0 3+ 5+ 7- 11+ 13+  7 -5
Curve Equation t 15015c1 [0,-1,1,-6711,-210058] 1
15015d (1 curve)	1	3+ 5+ 7- 11- 13+	0 3+ 5+ 7- 11- 13+ -4  4
Curve Equation t Generators 15015d1 [0,-1,1,-1332651,605987807] 1 [-899:32812:1]
15015e (6 curves)	1	3+ 5- 7+ 11+ 13-	-1 3+ 5- 7+ 11+ 13-  2  4
Curve Equation t Generators 15015e1 [1,1,1,17550,1292910] 4 [3:1158:1] 15015e2 [1,1,1,-125255,13345652] 8 [-308:4931:1] 15015e3 [1,1,1,-653380,-191989348] 4 [-3474:27143:8] 15015e4 [1,1,1,-1882010,992912240] 4 [3553:196148:1] 15015e5 [1,1,1,-10288005,-12705440298] 2 [-399558:227041:216] 15015e6 [1,1,1,531245,-809415898] 2 [2698716:105626333:1728]
15015f (6 curves)	1	3+ 5- 7+ 11+ 13-	-1 3+ 5- 7+ 11+ 13- -6  4
Curve Equation t Generators 15015f1 [1,1,1,605,1832] 4 [61:489:1] 15015f2 [1,1,1,-2520,11832] 8 [-5:158:1] 15015f3 [1,1,1,-23645,-1399318] 4 [897:26011:1] 15015f4 [1,1,1,-31395,2125482] 4 [107:21:1] 15015f5 [1,1,1,-377570,-89455858] 2 [63700:1430327:64] 15015f6 [1,1,1,-7720,-3233878] 2 [7150:208803:8]
15015g (6 curves)	0	3+ 5- 7+ 11- 13-	-1 3+ 5- 7+ 11- 13-  2  4
Curve Equation t 15015g1 [1,1,1,-3885,178362] 4 15015g2 [1,1,1,-77090,8201630] 8 15015g3 [1,1,1,-92215,4734980] 4 15015g4 [1,1,1,-1233245,526621532] 4 15015g5 [1,1,1,-752490,-248282400] 2 15015g6 [1,1,1,326060,36189260] 2
15015h (4 curves)	0	3+ 5- 7- 11- 13+	1 3+ 5- 7- 11- 13+  6  4
Curve Equation t 15015h1 [1,1,0,-1172,-27069] 2 15015h2 [1,1,0,-22297,-1290344] 4 15015h3 [1,1,0,-356722,-82154309] 2 15015h4 [1,1,0,-25872,-853479] 2
15015i (4 curves)	1	3- 5+ 7+ 11- 13+	1 3- 5+ 7+ 11- 13+ -2 -4
Curve Equation t Generators 15015i1 [1,0,1,207511,47870111] 2 [-87:5443:1] 15015i2 [1,0,1,-1399934,486381107] 4 [-405:31618:1] 15015i3 [1,0,1,-7628429,-7702844119] 2 [-681912:5333039:512] 15015i4 [1,0,1,-20890559,36746739857] 2 [30510:880913:8]
15015j (1 curve)	1	3- 5+ 7- 11+ 13+	0 3- 5+ 7- 11+ 13+  3 -1
Curve Equation t Generators 15015j1 [0,1,1,-20021,1083740] 1 [82:10:1]
15015k (1 curve)	1	3- 5+ 7- 11+ 13+	0 3- 5+ 7- 11+ 13+ -4 -8
Curve Equation t Generators 15015k1 [0,1,1,-71476861,-232616659709] 1 [11807:754687:1]
15015l (4 curves)	1	3- 5+ 7- 11+ 13+	-1 3- 5+ 7- 11+ 13+  2  4
Curve Equation t Generators 15015l1 [1,0,0,64,591] 2 [3:27:1] 15015l2 [1,0,0,-781,7520] 4 [-7:116:1] 15015l3 [1,0,0,-2926,-52969] 2 [70:259:1] 15015l4 [1,0,0,-12156,514845] 2 [-27:921:1]
15015m (2 curves)	1	3- 5+ 7- 11- 13-	0 3- 5+ 7- 11- 13-  0 -4
Curve Equation t Generators 15015m1 [0,1,1,-73281,7927256] 3 [162:577:1] 15015m2 [0,1,1,381129,19348985] 1 [5019:358312:1]
15015n (2 curves)	1	3- 5+ 7- 11- 13-	0 3- 5+ 7- 11- 13- -3 -7
Curve Equation t Generators 15015n1 [0,1,1,-481,4705] 3 [-13:94:1] 15015n2 [0,1,1,3479,-33014] 1 [14:136:1]
15015o (2 curves)	1	3- 5+ 7- 11- 13-	1 3- 5+ 7- 11- 13-  2 -2
Curve Equation t Generators 15015o1 [1,0,1,-2788804,3625440677] 2 [7483:630122:1] 15015o2 [1,0,1,-56319099,162567592591] 2 [4151:15711:1]
15015p (1 curve)	1	3- 5+ 7- 11- 13-	-2 3- 5+ 7- 11- 13- -7  1
Curve Equation t Generators 15015p1 [0,1,1,-11096,-13722184] 1 [4009:253753:1]
15015q (2 curves)	1	3- 5- 7+ 11+ 13+	-1 3- 5- 7+ 11+ 13+ -2 -2
Curve Equation t Generators 15015q1 [1,0,0,-20,-105] 2 [7:7:1] 15015q2 [1,0,0,-475,-4018] 2 [-13:8:1]
15015r (1 curve)	1	3- 5- 7+ 11+ 13+	2 3- 5- 7+ 11+ 13+ -5  1
Curve Equation t Generators 15015r1 [0,1,1,-37170,2869799] 1 [1498:12671:8]
15015s (1 curve)	0	3- 5- 7+ 11+ 13-	0 3- 5- 7+ 11+ 13-  8  8
Curve Equation t 15015s1 [0,1,1,-5,-16] 1
15015t (6 curves)	0	3- 5- 7+ 11+ 13-	-1 3- 5- 7+ 11+ 13-  2  4
Curve Equation t 15015t1 [1,0,0,-60469675,180982128632] 4 15015t2 [1,0,0,-62422800,168666113007] 8 15015t3 [1,0,0,-246950925,-1317855556368] 4 15015t4 [1,0,0,90855325,866970594882] 4 15015t5 [1,0,0,-3820539300,-90892707046443] 2 15015t6 [1,0,0,374187450,-6879652793793] 2
15015u (6 curves)	0	3- 5- 7+ 11+ 13-	-1 3- 5- 7+ 11+ 13-  2 -4
Curve Equation t 15015u1 [1,0,0,-9015,392112] 4 15015u2 [1,0,0,-151820,22755375] 8 15015u3 [1,0,0,-159425,20347632] 4 15015u4 [1,0,0,-2429095,1456983170] 4 15015u5 [1,0,0,-749300,-230821143] 2 15015u6 [1,0,0,308770,117451275] 2
15015v (4 curves)	0	3- 5- 7+ 11- 13+	1 3- 5- 7+ 11- 13+ -6 -4
Curve Equation t 15015v1 [1,0,1,-73,-1297] 2 15015v2 [1,0,1,-2278,-41869] 4 15015v3 [1,0,1,-36403,-2676319] 2 15015v4 [1,0,1,-3433,4793] 2
15015w (4 curves)	1	3- 5- 7- 11+ 13-	1 3- 5- 7- 11+ 13-  2 -4
Curve Equation t Generators 15015w1 [1,0,1,-66448,-6598279] 2 [427:6338:1] 15015w2 [1,0,1,-66853,-6513877] 4 [457:7415:1] 15015w3 [1,0,1,-150508,13027931] 4 [-375:4282:1] 15015w4 [1,0,1,10322,-20652337] 2 [3446:62155:8]
15015x (4 curves)	1	3- 5- 7- 11+ 13-	-1 3- 5- 7- 11+ 13- -6  0
Curve Equation t Generators 15015x1 [1,0,0,-440,132975] 4 [-5:370:1] 15015x2 [1,0,0,-41845,3254912] 4 [-61:2393:1] 15015x3 [1,0,0,-78700,-3356875] 2 [-100:1925:1] 15015x4 [1,0,0,-667470,209836287] 2 [474:-147:1]
15015y (2 curves)	1	3- 5- 7- 11- 13+	1 3- 5- 7- 11- 13+ -6  2
Curve Equation t Generators 15015y1 [1,0,1,62,-217] 2 [7:20:1] 15015y2 [1,0,1,-393,-2219] 2 [-13:33:1]
15015z (4 curves)	1	3- 5- 7- 11- 13+	-1 3- 5- 7- 11- 13+ -2 -4
Curve Equation t Generators 15015z1 [1,0,0,-1320,-18513] 2 [-21:18:1] 15015z2 [1,0,0,-1925,0] 4 [-35:175:1] 15015z3 [1,0,0,-21230,1185327] 2 [-131:1378:1] 15015z4 [1,0,0,7700,1925] 2 [20:395:1]

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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