Cremona's table of elliptic curves

12243 = 3 · 7 · 11 · 53

Class	r	Atkin-Lehner	Eigenvalues
12243a (1 curve)	1	3+ 7+ 11+ 53+	-1 3+  3 7+ 11+ -3 -2  0
Curve Equation t Generators 12243a1 [1,1,1,-39914,17337224] 1 [5370:492608:125]
12243b (1 curve)	0	3+ 7+ 11- 53+	-2 3+ -2 7+ 11-  1  4  6
Curve Equation t 12243b1 [0,-1,1,-71534,7389686] 1
12243c (1 curve)	1	3+ 7- 11- 53+	-1 3+ -1 7- 11-  1 -2  0
Curve Equation t Generators 12243c1 [1,1,1,-116,470] 1 [12:25:1]
12243d (2 curves)	1	3+ 7- 11- 53+	-1 3+ -4 7- 11-  4  4  6
Curve Equation t Generators 12243d1 [1,1,1,-130,-1714] 2 [26:102:1] 12243d2 [1,1,1,-3045,-65844] 2 [-33:23:1]
12243e (1 curve)	1	3+ 7- 11- 53+	2 3+  2 7- 11- -2  4 -6
Curve Equation t Generators 12243e1 [0,-1,1,-12,-37] 1 [74:185:8]
12243f (1 curve)	0	3+ 7- 11- 53-	2 3+ -2 7- 11- -1  0 -2
Curve Equation t 12243f1 [0,-1,1,6,-1] 1
12243g (2 curves)	0	3- 7+ 11+ 53+	-1 3-  0 7+ 11+  0  0  6
Curve Equation t 12243g1 [1,0,0,-193,-1072] 2 12243g2 [1,0,0,-3108,-66951] 2
12243h (4 curves)	0	3- 7- 11+ 53-	-1 3-  2 7- 11+  2  6  0
Curve Equation t 12243h1 [1,0,0,-6887,-220560] 2 12243h2 [1,0,0,-6892,-220225] 4 12243h3 [1,0,0,-9807,-16758] 4 12243h4 [1,0,0,-4057,-402232] 2
12243i (1 curve)	0	3- 7- 11+ 53-	2 3- -4 7- 11+ -1 -6  6
Curve Equation t 12243i1 [0,1,1,0,5] 1
12243j (1 curve)	1	3- 7- 11- 53-	0 3-  0 7- 11- -2  6  0
Curve Equation t Generators 12243j1 [0,1,1,-693,7796] 1 [-18:121:1]

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

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