Cremona's table of elliptic curves

42826 = 2 · 7² · 19 · 23

Class	r	Atkin-Lehner	Eigenvalues
42826a (1 curve)	0	2+ 7+ 19- 23+	2+  2 -1 7+  0 -2 -4 19-
Curve Equation t 42826a1 [1,1,0,5267,-159459] 1
42826b (2 curves)	0	2+ 7- 19+ 23+	2+  0  0 7-  4 -4  4 19+
Curve Equation t 42826b1 [1,-1,0,14068,-228992] 2 42826b2 [1,-1,0,-59992,-1843500] 2
42826c (1 curve)	0	2+ 7- 19+ 23+	2+  1  1 7-  3  2  4 19+
Curve Equation t 42826c1 [1,0,1,-3113,66490] 1
42826d (1 curve)	0	2+ 7- 19+ 23+	2+  1  1 7- -5  2  0 19+
Curve Equation t 42826d1 [1,0,1,-79063,6986074] 1
42826e (1 curve)	2	2+ 7- 19+ 23+	2+ -1 -1 7-  0 -1 -3 19+
Curve Equation t Generators 42826e1 [1,1,0,-123,1849] 1 [-15:32:1]&[-8:53:1]
42826f (2 curves)	0	2+ 7- 19+ 23+	2+ -1 -3 7- -3 -2  6 19+
Curve Equation t 42826f1 [1,1,0,-13549,-589189] 1 42826f2 [1,1,0,-169614,26650156] 1
42826g (1 curve)	0	2+ 7- 19+ 23+	2+ -2  1 7-  0  2  4 19+
Curve Equation t 42826g1 [1,0,1,107,480] 1
42826h (1 curve)	1	2+ 7- 19+ 23-	2+  1  1 7-  5 -6  4 19+
Curve Equation t Generators 42826h1 [1,0,1,-1888,-31706] 1 [284:4586:1]
42826i (2 curves)	1	2+ 7- 19- 23+	2+  0  0 7-  4  4 -4 19-
Curve Equation t Generators 42826i1 [1,-1,0,689323,77165605] 2 [34:10015:1] 42826i2 [1,-1,0,-2939617,638199729] 2 [-1494:41901:1]
42826j (1 curve)	1	2+ 7- 19- 23+	2+  1  1 7-  0 -3 -5 19-
Curve Equation t Generators 42826j1 [1,0,1,-4819323,4072448454] 1 [1359:5096:1]
42826k (1 curve)	0	2+ 7- 19- 23-	2+  3 -1 7-  5  2  2 19-
Curve Equation t 42826k1 [1,-1,0,-646270,-196172908] 1
42826l (1 curve)	2	2+ 7- 19- 23-	2+ -3 -1 7- -1  2 -4 19-
Curve Equation t Generators 42826l1 [1,-1,0,-940,6334] 1 [-33:41:1]&[-11:129:1]
42826m (3 curves)	1	2- 7- 19+ 23+	2- -1  3 7-  0 -5 -3 19+
Curve Equation t Generators 42826m1 [1,1,1,-32194,-2285361] 1 [377:-6461:1] 42826m2 [1,1,1,140286,-9422897] 1 [293:7399:1] 42826m3 [1,1,1,-1554134,903269919] 1 [4206:119707:8]
42826n (2 curves)	2	2- 7- 19+ 23-	2- -1 -3 7- -3 -2  0 19+
Curve Equation t Generators 42826n1 [1,1,1,-388522,92339127] 1 [209:4403:1]&[-343:13787:1] 42826n2 [1,1,1,-31403562,67722437047] 1 [2597:59455:1]&[3233:-1813:1]
42826o (2 curves)	0	2- 7- 19+ 23-	2- -2  2 7- -2  4  2 19+
Curve Equation t 42826o1 [1,0,0,-68114607,216368267065] 2 42826o2 [1,0,0,-1089831247,13847907334617] 2
42826p (2 curves)	0	2- 7- 19+ 23-	2- -2 -2 7-  2  0 -2 19+
Curve Equation t 42826p1 [1,0,0,-55224,-2656256] 2 42826p2 [1,0,0,-762784,-256387272] 2
42826q (2 curves)	0	2- 7- 19- 23+	2-  2  4 7- -4 -2  0 19-
Curve Equation t 42826q1 [1,1,1,-3431,313501] 2 42826q2 [1,1,1,-93591,10952381] 2
42826r (1 curve)	0	2- 7- 19- 23+	2-  3  3 7- -3  6  0 19-
Curve Equation t 42826r1 [1,-1,1,-5571,-115517] 1
42826s (1 curve)	0	2- 7- 19- 23+	2- -3 -3 7-  0 -3  3 19-
Curve Equation t 42826s1 [1,-1,1,165096,16530567] 1
42826t (2 curves)	1	2- 7- 19- 23-	2-  1 -1 7- -3  6  2 19-
Curve Equation t Generators 42826t1 [1,0,0,-20091,-370063] 1 [172:1041:1] 42826t2 [1,0,0,-6973681,7087704847] 1 [12198:-6001:8]
42826u (1 curve)	1	2- 7- 19- 23-	2- -1  3 7- -5 -2  4 19-
Curve Equation t Generators 42826u1 [1,1,1,-589,4899] 1 [27:-112:1]
42826v (2 curves)	1	2- 7- 19- 23-	2-  2  0 7-  4 -2  4 19-
Curve Equation t Generators 42826v1 [1,1,1,30232,-34119191] 2 [23477:-3609123:1] 42826v2 [1,1,1,-1412328,-627299863] 2 [-603:2653:1]
42826w (2 curves)	1	2- 7- 19- 23-	2- -2  2 7-  0  0  2 19-
Curve Equation t Generators 42826w1 [1,0,0,-6812,184960] 2 [-6:478:1] 42826w2 [1,0,0,11808,1022860] 2 [92:1654:1]

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