Cremona's table of elliptic curves

2499 = 3 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
2499a (1 curve)	0	3+ 7+ 17-	0 3+  4 7+  4  1 17-  1
Curve Equation t 2499a1 [0,-1,1,-3201,-75076] 1
2499b (2 curves)	0	3+ 7- 17+	1 3+ -2 7- -6 -4 17+ -2
Curve Equation t 2499b1 [1,1,0,-221,-4080] 2 2499b2 [1,1,0,-5366,-153285] 2
2499c (1 curve)	0	3+ 7- 17+	-1 3+ -1 7- -2 -1 17+  8
Curve Equation t 2499c1 [1,1,1,-26461,1390472] 1
2499d (2 curves)	1	3+ 7- 17-	0 3+ -3 7- -3  1 17-  1
Curve Equation t Generators 2499d1 [0,-1,1,33,335] 1 [5:24:1] 2499d2 [0,-1,1,-2907,61340] 1 [68:416:1]
2499e (1 curve)	1	3+ 7- 17-	1 3+ -3 7-  6 -1 17-  4
Curve Equation t Generators 2499e1 [1,1,0,-4,1] 1 [0:1:1]
2499f (1 curve)	1	3+ 7- 17-	2 3+ -1 7-  1 -1 17- -1
Curve Equation t Generators 2499f1 [0,-1,1,964,7685] 1 [26:829:8]
2499g (1 curve)	1	3+ 7- 17-	-2 3+  3 7- -3 -1 17-  7
Curve Equation t Generators 2499g1 [0,-1,1,-2074,-41952] 1 [54:24:1]
2499h (1 curve)	0	3- 7+ 17+	1 3-  3 7+  6  1 17+ -4
Curve Equation t 2499h1 [1,0,1,-222,-983] 1
2499i (1 curve)	1	3- 7+ 17-	-1 3-  1 7+ -2  1 17- -8
Curve Equation t Generators 2499i1 [1,0,0,-540,-4131] 1 [-15:33:1]
2499j (1 curve)	1	3- 7- 17+	0 3- -1 7-  3 -3 17+ -3
Curve Equation t Generators 2499j1 [0,1,1,174669,-25358938] 1 [618:17860:1]
2499k (1 curve)	1	3- 7- 17+	0 3- -1 7- -5  5 17+  5
Curve Equation t Generators 2499k1 [0,1,1,-261,5912] 1 [2:73:1]
2499l (1 curve)	1	3- 7- 17+	0 3- -4 7-  4 -1 17+ -1
Curve Equation t Generators 2499l1 [0,1,1,-65,200] 1 [10:25:1]
2499m (2 curves)	0	3- 7- 17-	1 3-  2 7- -6  4 17-  2
Curve Equation t 2499m1 [1,0,1,-5,11] 2 2499m2 [1,0,1,-110,431] 2

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

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