Cremona's table of elliptic curves

8619 = 3 · 13² · 17

Class	r	Atkin-Lehner	Eigenvalues
8619a (1 curve)	0	3+ 13+ 17-	1 3+ -1  2  3 13+ 17-  4
Curve Equation t 8619a1 [1,1,0,842,-49109] 1
8619b (6 curves)	0	3+ 13+ 17-	1 3+  2  0 -4 13+ 17-  4
Curve Equation t 8619b1 [1,1,0,-91094,10544487] 2 8619b2 [1,1,0,-91939,10337800] 4 8619b3 [1,1,0,-234744,-29790405] 4 8619b4 [1,1,0,37346,37254937] 2 8619b5 [1,1,0,-3409409,-2424122748] 2 8619b6 [1,1,0,655041,-200807082] 4
8619c (1 curve)	0	3+ 13+ 17-	-1 3+  1 -2 -3 13+ 17- -4
Curve Equation t 8619c1 [1,1,1,142210,-108603682] 1
8619d (2 curves)	0	3+ 13+ 17-	-1 3+  4 -2 -6 13+ 17- -4
Curve Equation t 8619d1 [1,1,1,-44366,-3612094] 2 8619d2 [1,1,1,-55351,-1700704] 2
8619e (1 curve)	0	3+ 13+ 17-	2 3+ -2  4 -3 13+ 17- -7
Curve Equation t 8619e1 [0,-1,1,-4,15] 1
8619f (1 curve)	0	3+ 13+ 17-	2 3+  4 -3  4 13+ 17- -4
Curve Equation t 8619f1 [0,-1,1,-56,-271] 1
8619g (1 curve)	0	3+ 13+ 17-	-2 3+  2 -4  3 13+ 17-  7
Curve Equation t 8619g1 [0,-1,1,-732,30656] 1
8619h (1 curve)	0	3+ 13+ 17-	-2 3+ -4  3 -4 13+ 17-  4
Curve Equation t 8619h1 [0,-1,1,-9520,-632838] 1
8619i (2 curves)	0	3- 13+ 17+	0 3- -3  4  3 13+ 17+  1
Curve Equation t 8619i1 [0,1,1,113,-2180] 1 8619i2 [0,1,1,-10027,-390035] 1
8619j (2 curves)	1	3- 13+ 17-	1 3-  0  2  2 13+ 17-  0
Curve Equation t Generators 8619j1 [1,0,1,-5581,-152605] 2 [-35:29:1] 8619j2 [1,0,1,-16566,629527] 2 [-25:1026:1]
8619k (1 curve)	1	3- 13+ 17-	2 3- -3 -2  4 13+ 17-  3
Curve Equation t Generators 8619k1 [0,1,1,-732,12185] 1 [4762:116159:8]
8619l (1 curve)	1	3- 13+ 17-	-2 3-  3  2 -4 13+ 17- -3
Curve Equation t Generators 8619l1 [0,1,1,-4,4] 1 [1:1:1]
8619m (2 curves)	0	3- 13- 17-	1 3-  0  4 -2 13- 17-  2
Curve Equation t 8619m1 [1,0,1,9,-11] 2 8619m2 [1,0,1,-56,-115] 2
8619n (2 curves)	0	3- 13- 17-	-1 3-  0 -4  2 13- 17- -2
Curve Equation t 8619n1 [1,0,0,1602,-25221] 2 8619n2 [1,0,0,-9383,-242724] 2

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

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