Cremona's table of elliptic curves

10115 = 5 · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
10115a (1 curve)	1	5+ 7+ 17+	0  0 5+ 7+  2 -5 17+  4
Curve Equation t Generators 10115a1 [0,0,1,-68,-217] 1 [17:59:1]
10115b (1 curve)	1	5+ 7+ 17+	2 -2 5+ 7+  2 -1 17+  2
Curve Equation t Generators 10115b1 [0,1,1,-96,5745] 1 [-150:285:8]
10115c (1 curve)	2	5+ 7+ 17-	1  1 5+ 7+ -6 -6 17- -5
Curve Equation t Generators 10115c1 [1,0,1,-72979,-3670469] 1 [3203:179023:1]&[-626:10309:8]
10115d (1 curve)	2	5+ 7+ 17-	-2 -2 5+ 7+ -3  0 17- -5
Curve Equation t Generators 10115d1 [0,1,1,-96,-324] 1 [-6:8:1]&[-4:3:1]
10115e (1 curve)	1	5+ 7- 17-	1 -1 5+ 7-  2  2 17- -7
Curve Equation t Generators 10115e1 [1,1,0,-506478,86623057] 1 [936:20357:1]
10115f (1 curve)	1	5+ 7- 17-	-2  2 5+ 7-  5 -4 17- -1
Curve Equation t Generators 10115f1 [0,-1,1,-135926,19269832] 1 [193:433:1]
10115g (3 curves)	0	5- 7+ 17+	0 -1 5- 7+  3  5 17+  2
Curve Equation t 10115g1 [0,-1,1,-385,3358] 1 10115g2 [0,-1,1,2505,-9069] 1 10115g3 [0,-1,1,-37955,-2964672] 1
10115h (1 curve)	0	5- 7+ 17+	1  1 5- 7+ -2  2 17+ -7
Curve Equation t 10115h1 [1,0,1,-146372293,426603684733] 1
10115i (1 curve)	0	5- 7+ 17+	2 -2 5- 7+ -6  1 17+ -6
Curve Equation t 10115i1 [0,1,1,125330,-46357369] 1
10115j (1 curve)	2	5- 7+ 17+	-2 -2 5- 7+ -5 -4 17+ -1
Curve Equation t Generators 10115j1 [0,1,1,-470,3756] 1 [-15:87:1]&[-5:77:1]
10115k (1 curve)	1	5- 7- 17+	0  0 5- 7- -2 -5 17+  4
Curve Equation t Generators 10115k1 [0,0,1,-19652,-1064893] 1 [10003735:113834881:42875]
10115l (1 curve)	1	5- 7- 17+	1 -1 5- 7-  6 -6 17+ -5
Curve Equation t Generators 10115l1 [1,1,0,-252,-851] 1 [-12:31:1]
10115m (1 curve)	1	5- 7- 17+	-2  2 5- 7-  3  0 17+ -5
Curve Equation t Generators 10115m1 [0,-1,1,-27840,-1423724] 1 [-88:580:1]
10115n (1 curve)	1	5- 7- 17+	-2 -2 5- 7- -2 -1 17+  6
Curve Equation t Generators 10115n1 [0,1,1,-2888940,1893215556] 1 [1065:5057:1]

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

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