Cremona's table of elliptic curves

20470 = 2 · 5 · 23 · 89

Class	r	Atkin-Lehner	Eigenvalues
20470a (2 curves)	0	2+ 5+ 23+ 89-	2+  1 5+ -1 -3  2  6 -4
Curve Equation t 20470a1 [1,0,1,-1174,15616] 3 20470a2 [1,0,1,4611,74712] 1
20470b (1 curve)	0	2+ 5- 23+ 89+	2+ -1 5-  1 -1 -2 -6  2
Curve Equation t 20470b1 [1,1,0,6918,-662636] 1
20470c (2 curves)	0	2+ 5- 23+ 89+	2+  2 5-  4 -4 -2  6 -4
Curve Equation t 20470c1 [1,1,0,-7767262,8328777504] 2 20470c2 [1,1,0,-7736012,8399158754] 2
20470d (2 curves)	1	2+ 5- 23+ 89-	2+  1 5-  2 -3  2  0  2
Curve Equation t Generators 20470d1 [1,0,1,-5523,168078] 3 [54:140:1] 20470d2 [1,0,1,32302,60388] 1 [4722:187945:216]
20470e (2 curves)	1	2+ 5- 23- 89+	2+  2 5- -4  4 -6  6  8
Curve Equation t Generators 20470e1 [1,1,0,-967,-11979] 2 [270:4281:1] 20470e2 [1,1,0,-767,-16819] 2 [58290:925171:216]
20470f (1 curve)	1	2+ 5- 23- 89+	2+ -3 5- -3  3  2 -2  0
Curve Equation t Generators 20470f1 [1,-1,0,-240889,45569773] 1 [237:1204:1]
20470g (1 curve)	1	2- 5+ 23+ 89-	2-  1 5+  2  5 -2  0 -2
Curve Equation t Generators 20470g1 [1,0,0,-6,-34] 1 [62:129:8]
20470h (1 curve)	1	2- 5+ 23+ 89-	2-  1 5+ -3 -1  6 -2 -4
Curve Equation t Generators 20470h1 [1,0,0,-461,3791] 1 [-2:501:8]
20470i (1 curve)	2	2- 5+ 23- 89-	2- -3 5+ -2 -3 -6 -4  2
Curve Equation t Generators 20470i1 [1,-1,1,-7773,265701] 1 [43:-120:1]&[-39:732:1]
20470j (1 curve)	0	2- 5- 23+ 89-	2-  3 5-  1  5  2 -2  0
Curve Equation t 20470j1 [1,-1,1,18,-11] 1
20470k (1 curve)	2	2- 5- 23- 89+	2- -1 5- -4 -5  0 -6 -4
Curve Equation t Generators 20470k1 [1,1,1,-18700,1289517] 1 [-93:1541:1]&[32981315:272254567:493039]

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

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