Cremona's table of elliptic curves

25398 = 2 · 3² · 17 · 83

Class	r	Atkin-Lehner	Eigenvalues
25398a (1 curve)	1	2+ 3+ 17+ 83+	2+ 3+  3 -2  2 -5 17+ -4
Curve Equation t Generators 25398a1 [1,-1,0,-663,-3043] 1 [37:130:1]
25398b (1 curve)	2	2+ 3+ 17+ 83-	2+ 3+ -3  0  1 -4 17+ -5
Curve Equation t Generators 25398b1 [1,-1,0,9,-79] 1 [4:1:1]&[5:6:1]
25398c (1 curve)	0	2+ 3+ 17- 83+	2+ 3+  1 -2 -2 -5 17-  4
Curve Equation t 25398c1 [1,-1,0,-1515444,-697752784] 1
25398d (1 curve)	1	2+ 3- 17- 83+	2+ 3-  3  2 -2 -3 17- -4
Curve Equation t Generators 25398d1 [1,-1,0,-2853,59373] 1 [31:-15:1]
25398e (2 curves)	0	2+ 3- 17- 83-	2+ 3-  0 -2  4  4 17- -4
Curve Equation t 25398e1 [1,-1,0,-5607,-94851] 2 25398e2 [1,-1,0,17433,-689283] 2
25398f (1 curve)	2	2+ 3- 17- 83-	2+ 3-  1 -2 -6 -5 17-  4
Curve Equation t Generators 25398f1 [1,-1,0,-234,922] 1 [-13:47:1]&[-26:337:8]
25398g (1 curve)	1	2- 3+ 17+ 83-	2- 3+ -1 -2  2 -5 17+  4
Curve Equation t Generators 25398g1 [1,-1,1,-168383,25898823] 1 [-147:6962:1]
25398h (1 curve)	1	2- 3+ 17- 83+	2- 3+  3  0 -1 -4 17- -5
Curve Equation t Generators 25398h1 [1,-1,1,79,2053] 1 [7:-58:1]
25398i (1 curve)	2	2- 3+ 17- 83-	2- 3+ -3 -2 -2 -5 17- -4
Curve Equation t Generators 25398i1 [1,-1,1,-74,137] 1 [9:-17:1]&[-5:21:1]
25398j (1 curve)	1	2- 3- 17+ 83+	2- 3-  1 -4  4 -1 17+  0
Curve Equation t Generators 25398j1 [1,-1,1,-951737,-18137127] 1 [3623:208140:1]
25398k (4 curves)	1	2- 3- 17+ 83+	2- 3- -2 -4  4  2 17+  0
Curve Equation t Generators 25398k1 [1,-1,1,-806,8997] 2 [-1:99:1] 25398k2 [1,-1,1,-986,4821] 4 [-3:89:1] 25398k3 [1,-1,1,3604,34197] 2 [894:10351:8] 25398k4 [1,-1,1,-8456,-293979] 2 [-3180:4143:64]
25398l (2 curves)	0	2- 3- 17+ 83-	2- 3-  0 -4  3 -7 17+  5
Curve Equation t 25398l1 [1,-1,1,-6350,-193219] 1 25398l2 [1,-1,1,3595,-729331] 3
25398m (1 curve)	0	2- 3- 17+ 83-	2- 3-  2  3  3  5 17+ -4
Curve Equation t 25398m1 [1,-1,1,1606,-619527] 1
25398n (1 curve)	0	2- 3- 17+ 83-	2- 3-  3  4  0  5 17+  0
Curve Equation t 25398n1 [1,-1,1,-38692391,-92627746081] 1
25398o (1 curve)	2	2- 3- 17+ 83-	2- 3- -3 -2 -3 -4 17+ -3
Curve Equation t Generators 25398o1 [1,-1,1,-14144,704099] 1 [39:439:1]&[-123:817:1]
25398p (1 curve)	0	2- 3- 17+ 83-	2- 3- -4  0 -3  5 17+  5
Curve Equation t 25398p1 [1,-1,1,-32,105] 1
25398q (2 curves)	0	2- 3- 17- 83+	2- 3-  0  2  4  0 17-  8
Curve Equation t 25398q1 [1,-1,1,-770,-7999] 2 25398q2 [1,-1,1,-410,-15775] 2
25398r (1 curve)	0	2- 3- 17- 83+	2- 3-  1 -2  3  0 17- -5
Curve Equation t 25398r1 [1,-1,1,-10202,-410583] 1
25398s (2 curves)	0	2- 3- 17- 83+	2- 3-  3 -4  0 -1 17-  8
Curve Equation t 25398s1 [1,-1,1,-3146,33473] 1 25398s2 [1,-1,1,-216041,38704169] 3
25398t (1 curve)	1	2- 3- 17- 83-	2- 3- -1 -2  2  1 17-  4
Curve Equation t Generators 25398t1 [1,-1,1,-5918,169773] 1 [161:-1917:1]
25398u (2 curves)	1	2- 3- 17- 83-	2- 3-  2  0  0 -4 17-  8
Curve Equation t Generators 25398u1 [1,-1,1,-1086764,436288943] 2 [741:-6491:1] 25398u2 [1,-1,1,-994604,513260975] 2 [-135:25465:1]

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

Part of Computational Number Theory
Back to Tables and computations