Cremona's table of elliptic curves

2541 = 3 · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
2541a (1 curve)	0	3+ 7+ 11-	1 3+  1 7+ 11- -5  7  6
Curve Equation t 2541a1 [1,1,0,-389622,-93997647] 1
2541b (6 curves)	0	3+ 7+ 11-	1 3+ -2 7+ 11- -6 -2 -4
Curve Equation t 2541b1 [1,1,0,-4116,-103341] 2 2541b2 [1,1,0,-4721,-71760] 4 2541b3 [1,1,0,-34366,2388775] 4 2541b4 [1,1,0,15244,-499011] 2 2541b5 [1,1,0,-546801,155401866] 2 2541b6 [1,1,0,3749,7442824] 2
2541c (1 curve)	2	3+ 7+ 11-	-1 3+ -3 7+ 11- -7 -3  2
Curve Equation t Generators 2541c1 [1,1,1,3,12] 1 [-2:2:1]&[0:3:1]
2541d (1 curve)	0	3+ 7+ 11-	2 3+ -3 7+ 11-  2  3 -4
Curve Equation t 2541d1 [0,-1,1,-180572,-26845765] 1
2541e (1 curve)	0	3+ 7+ 11-	-2 3+  1 7+ 11-  6  7  8
Curve Equation t 2541e1 [0,-1,1,-700,-6876] 1
2541f (1 curve)	1	3+ 7- 11-	1 3+ -3 7- 11-  7  3 -2
Curve Equation t Generators 2541f1 [1,1,0,361,-14406] 1 [50:338:1]
2541g (1 curve)	1	3+ 7- 11-	-1 3+  1 7- 11-  5 -7 -6
Curve Equation t Generators 2541g1 [1,1,1,-3220,69158] 1 [86:618:1]
2541h (1 curve)	1	3+ 7- 11-	2 3+  1 7- 11- -6 -7 -8
Curve Equation t Generators 2541h1 [0,-1,1,-84740,9490535] 1 [890:9555:8]
2541i (1 curve)	1	3+ 7- 11-	-2 3+ -3 7- 11- -2 -3  4
Curve Equation t Generators 2541i1 [0,-1,1,-1492,20712] 1 [15:-39:1]
2541j (2 curves)	1	3- 7+ 11-	0 3- -3 7+ 11-  4  3 -2
Curve Equation t Generators 2541j1 [0,1,1,-7,-5] 1 [-1:1:1] 2541j2 [0,1,1,-337,2272] 1 [10:1:1]
2541k (2 curves)	0	3- 7- 11-	0 3- -3 7- 11- -4 -3  2
Curve Equation t 2541k1 [0,1,1,-887,2822] 3 2541k2 [0,1,1,-40817,-3187585] 1
2541l (6 curves)	0	3- 7- 11-	1 3- -2 7- 11-  2  6 -4
Curve Equation t 2541l1 [1,0,1,118,119] 2 2541l2 [1,0,1,-487,845] 4 2541l3 [1,0,1,-4722,-124511] 2 2541l4 [1,0,1,-5932,175085] 4 2541l5 [1,0,1,-94867,11238599] 2 2541l6 [1,0,1,-4117,284711] 2

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

Part of Computational Number Theory
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