Cremona's table of elliptic curves

13915 = 5 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
13915a (2 curves)	0	5+ 11- 23+	0 -2 5+  1 11-  4 -3 -2
Curve Equation t 13915a1 [0,1,1,-51,-159] 1 13915a2 [0,1,1,59,-610] 1
13915b (2 curves)	0	5+ 11- 23+	0 -2 5+ -1 11- -4  3  2
Curve Equation t 13915b1 [0,1,1,-6211,186500] 3 13915b2 [0,1,1,7099,840021] 1
13915c (1 curve)	0	5+ 11- 23+	2 -2 5+  0 11-  6  3  0
Curve Equation t 13915c1 [0,1,1,444,-6495] 1
13915d (1 curve)	2	5+ 11- 23+	-2 -2 5+  0 11- -6 -3  0
Curve Equation t Generators 13915d1 [0,1,1,4,6] 1 [-1:1:1]&[0:2:1]
13915e (1 curve)	1	5+ 11- 23-	-2  0 5+ -1 11-  2 -3  2
Curve Equation t Generators 13915e1 [0,0,1,847,14308] 1 [-11:60:1]
13915f (1 curve)	1	5- 11- 23+	1 -1 5-  1 11- -2  2 -2
Curve Equation t Generators 13915f1 [1,1,0,-57,-194] 1 [10:14:1]
13915g (1 curve)	1	5- 11- 23+	1 -1 5- -5 11-  4 -4  4
Curve Equation t Generators 13915g1 [1,1,0,-5088052,4421308049] 1 [1088:12681:1]
13915h (1 curve)	1	5- 11- 23+	-1 -1 5- -1 11-  2 -2  2
Curve Equation t Generators 13915h1 [1,1,1,-6960,223510] 1 [50:-86:1]
13915i (1 curve)	1	5- 11- 23+	-1 -1 5-  5 11- -4  4 -4
Curve Equation t Generators 13915i1 [1,1,1,-42050,-3340908] 1 [622:14236:1]
13915j (1 curve)	0	5- 11- 23-	0  0 5-  0 11-  4  7  8
Curve Equation t 13915j1 [0,0,1,-29282,-1972875] 1
13915k (1 curve)	2	5- 11- 23-	0  0 5-  0 11- -4 -7 -8
Curve Equation t Generators 13915k1 [0,0,1,-242,1482] 1 [-18:2:1]&[0:38:1]
13915l (1 curve)	0	5- 11- 23-	2 -2 5- -3 11-  0  3  6
Curve Equation t 13915l1 [0,1,1,-40,7541] 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
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