Cremona's table of elliptic curves

5115 = 3 · 5 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
5115a (1 curve)	0	3+ 5+ 11+ 31-	0 3+ 5+  3 11+ -2  2 -6
Curve Equation t 5115a1 [0,-1,1,-15181,725481] 1
5115b (2 curves)	1	3+ 5+ 11- 31-	-1 3+ 5+  2 11-  6  0 -4
Curve Equation t Generators 5115b1 [1,1,1,-176551,-28626676] 2 [18206345014:-569028923393:16194277] 5115b2 [1,1,1,-176496,-28645332] 2 [827046:13033624:1331]
5115c (4 curves)	1	3+ 5- 11+ 31-	-1 3+ 5-  0 11+  6 -6  0
Curve Equation t Generators 5115c1 [1,1,1,-310,2210] 4 [4:30:1] 5115c2 [1,1,1,-5115,138672] 4 [16:239:1] 5115c3 [1,1,1,-5270,129620] 2 [18:193:1] 5115c4 [1,1,1,-81840,8977392] 2 [171:54:1]
5115d (2 curves)	1	3+ 5- 11- 31+	1 3+ 5- -2 11- -4  6  2
Curve Equation t Generators 5115d1 [1,1,0,-27,24] 2 [8:16:1] 5115d2 [1,1,0,-182,-999] 2 [-8:9:1]
5115e (6 curves)	1	3+ 5- 11- 31+	-1 3+ 5-  0 11- -2  2 -4
Curve Equation t Generators 5115e1 [1,1,1,495,3750] 4 [-2:53:1] 5115e2 [1,1,1,-2630,31250] 8 [-56:110:1] 5115e3 [1,1,1,-17755,-894400] 4 [-2337:2695:27] 5115e4 [1,1,1,-37505,2779400] 4 [-220:775:1] 5115e5 [1,1,1,-282030,-57766380] 2 [55410020:4570180741:8000] 5115e6 [1,1,1,4520,-2961520] 2 [244092:1123825:1728]
5115f (4 curves)	2	3+ 5- 11- 31-	-1 3+ 5- -4 11- -6 -6 -4
Curve Equation t Generators 5115f1 [1,1,1,625,8060] 4 [-10:35:1]&[-2:83:1] 5115f2 [1,1,1,-4180,77252] 4 [-70:216:1]&[-48:436:1] 5115f3 [1,1,1,-22935,-1280610] 2 [-102:153:1]&[-92:293:1] 5115f4 [1,1,1,-62305,5959502] 2 [-188:3421:1]&[-78:3256:1]
5115g (2 curves)	1	3- 5+ 11+ 31-	1 3- 5+ -2 11+  2  4  8
Curve Equation t Generators 5115g1 [1,0,1,-84,-299] 2 [11:6:1] 5115g2 [1,0,1,-29,-673] 2 [21:79:1]
5115h (2 curves)	1	3- 5- 11+ 31+	1 3- 5- -2 11+  4 -6  4
Curve Equation t Generators 5115h1 [1,0,1,27,-29] 2 [37:209:1] 5115h2 [1,0,1,-128,-277] 2 [-3:10:1]
5115i (2 curves)	0	3- 5- 11+ 31-	0 3- 5- -1 11+  2 -6  2
Curve Equation t 5115i1 [0,1,1,25,29] 3 5115i2 [0,1,1,-275,-2206] 1
5115j (4 curves)	0	3- 5- 11- 31+	1 3- 5-  0 11-  6  2  0
Curve Equation t 5115j1 [1,0,1,-63,-107] 2 5115j2 [1,0,1,-468,3781] 4 5115j3 [1,0,1,-7443,246511] 4 5115j4 [1,0,1,27,11503] 2
5115k (2 curves)	1	3- 5- 11- 31-	-1 3- 5- -2 11- -4  2  2
Curve Equation t Generators 5115k1 [1,0,0,-165,792] 2 [9:3:1] 5115k2 [1,0,0,-320,-975] 2 [25:-95:1]

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

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