Cremona's table of elliptic curves

2115 = 3² · 5 · 47

Class	r	Atkin-Lehner	Eigenvalues
2115a (2 curves)	0	3+ 5+ 47-	-1 3+ 5+  4  0  0  6  8
Curve Equation t 2115a1 [1,-1,1,-353,4456] 2 2115a2 [1,-1,1,-6698,212572] 2
2115b (2 curves)	0	3+ 5- 47+	1 3+ 5-  4  0  0 -6  8
Curve Equation t 2115b1 [1,-1,0,-39,-152] 2 2115b2 [1,-1,0,-744,-7625] 2
2115c (1 curve)	0	3- 5+ 47+	1 3- 5+  1  3 -3  6 -7
Curve Equation t 2115c1 [1,-1,0,-45,-50] 1
2115d (1 curve)	0	3- 5+ 47+	1 3- 5+ -5 -6  3  3 -1
Curve Equation t 2115d1 [1,-1,0,-1080,-1142699] 1
2115e (4 curves)	0	3- 5+ 47+	-1 3- 5+  0 -4  2 -6  0
Curve Equation t 2115e1 [1,-1,1,-3308,-72394] 2 2115e2 [1,-1,1,-3353,-70288] 4 2115e3 [1,-1,1,-9698,279956] 2 2115e4 [1,-1,1,2272,-286288] 2
2115f (1 curve)	1	3- 5- 47+	1 3- 5-  1  2 -7 -1 -1
Curve Equation t Generators 2115f1 [1,-1,0,-324,-2187] 1 [84:705:1]
2115g (1 curve)	1	3- 5- 47+	1 3- 5-  1 -3  3 -6 -1
Curve Equation t Generators 2115g1 [1,-1,0,-31959,2207038] 1 [102:-26:1]
2115h (1 curve)	1	3- 5- 47+	-1 3- 5- -3  2 -1 -3 -3
Curve Equation t Generators 2115h1 [1,-1,1,58,-34] 1 [6:19:1]
2115i (1 curve)	1	3- 5- 47+	-2 3- 5- -2  0  3  0 -4
Curve Equation t Generators 2115i1 [0,0,1,33,-68] 1 [7:22:1]
2115j (1 curve)	0	3- 5- 47-	0 3- 5-  2 -2  1  2 -6
Curve Equation t 2115j1 [0,0,1,-52032,-4696250] 1
2115k (2 curves)	0	3- 5- 47-	0 3- 5-  2  6  5 -6  2
Curve Equation t 2115k1 [0,0,1,78,-468] 1 2115k2 [0,0,1,-732,15975] 3

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

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