Cremona's table of elliptic curves

23320 = 2³ · 5 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
23320a (2 curves)	0	2+ 5+ 11+ 53-	2+  0 5+  0 11+  2  2 -2
Curve Equation t 23320a1 [0,0,0,2,-9303] 2 23320a2 [0,0,0,-6623,-204078] 2
23320b (2 curves)	2	2+ 5+ 11+ 53-	2+  0 5+  0 11+ -4  0 -8
Curve Equation t Generators 23320b1 [0,0,0,-103,378] 2 [-9:24:1]&[-2:24:1] 23320b2 [0,0,0,-323,-1778] 2 [-9:20:1]&[231:3500:1]
23320c (1 curve)	1	2- 5+ 11+ 53-	2- -1 5+  3 11+  1  6  5
Curve Equation t Generators 23320c1 [0,-1,0,3864,-62084] 1 [498:3320:27]
23320d (1 curve)	1	2- 5+ 11+ 53-	2- -1 5+ -3 11+  7  2 -1
Curve Equation t Generators 23320d1 [0,-1,0,-56,-164] 1 [14:40:1]
23320e (2 curves)	2	2- 5+ 11- 53-	2-  0 5+ -2 11- -4  4 -4
Curve Equation t Generators 23320e1 [0,0,0,-4678,123477] 2 [-26:477:1]&[42:33:1] 23320e2 [0,0,0,-74903,7890362] 2 [-203:3838:1]&[133:530:1]
23320f (1 curve)	0	2- 5+ 11- 53-	2-  3 5+ -1 11-  5 -6 -5
Curve Equation t 23320f1 [0,0,0,-298,1997] 1
23320g (1 curve)	2	2- 5+ 11- 53-	2- -3 5+ -2 11-  5 -5 -7
Curve Equation t Generators 23320g1 [0,0,0,677,-122] 1 [3:44:1]&[14:110:1]

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

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