Cremona's table of elliptic curves

45177 = 3 · 11 · 37²

Class	r	Atkin-Lehner	Eigenvalues
45177a (4 curves)	0	3+ 11- 37+	-1 3+  2  4 11-  2  2  0
Curve Equation t 45177a1 [1,1,1,-8927,-325636] 2 45177a2 [1,1,1,-15772,232916] 4 45177a3 [1,1,1,59523,1889406] 2 45177a4 [1,1,1,-200587,34460654] 2
45177b (1 curve)	0	3- 11+ 37+	0 3-  3 -2 11+  2  4  2
Curve Equation t 45177b1 [0,1,1,1249441,-716779816] 1
45177c (1 curve)	2	3- 11+ 37+	0 3- -3 -2 11+ -2 -4 -2
Curve Equation t Generators 45177c1 [0,1,1,913,-13855] 1 [170:-1003:8]&[19:103:1]
45177d (2 curves)	2	3- 11+ 37+	1 3-  0 -4 11+ -4 -2  2
Curve Equation t Generators 45177d1 [1,0,1,-93121,-9901921] 2 [-203:905:1]&[2149:97493:1] 45177d2 [1,0,1,-346386,67698475] 2 [-589:8508:1]&[-4490:76167:8]
45177e (4 curves)	0	3- 11+ 37+	-1 3- -2 -4 11+  6  2  4
Curve Equation t 45177e1 [1,0,0,7501,-364440] 4 45177e2 [1,0,0,-54104,-3826641] 4 45177e3 [1,0,0,-279989,53683680] 2 45177e4 [1,0,0,-813899,-282671406] 2
45177f (1 curve)	0	3- 11+ 37+	2 3-  1  2 11+  0  2 -8
Curve Equation t 45177f1 [0,1,1,32770,-1699057] 1
45177g (1 curve)	0	3- 11+ 37+	2 3-  3  2 11+  4  2  4
Curve Equation t 45177g1 [0,1,1,-16884,1226459] 1
45177h (1 curve)	0	3- 11+ 37+	-2 3- -1  2 11+  0 -2  8
Curve Equation t 45177h1 [0,1,1,44861674,-86600663518] 1
45177i (1 curve)	2	3- 11+ 37+	-2 3- -3  2 11+ -4 -2 -4
Curve Equation t Generators 45177i1 [0,1,1,-12,20] 1 [-4:4:1]&[0:4:1]
45177j (2 curves)	1	3- 11- 37+	1 3-  0  0 11- -4 -2  2
Curve Equation t Generators 45177j1 [1,0,1,-17826,-757001] 2 [449927572209621:5067226251911536:1956408087843] 45177j2 [1,0,1,-271091,-54347875] 2 [32984457:762804005:35937]
45177k (1 curve)	1	3- 11- 37+	1 3-  0  3 11-  5  4 -4
Curve Equation t Generators 45177k1 [1,0,1,-976126,681881159] 1 [-801:31222:1]
45177l (1 curve)	1	3- 11- 37+	-1 3-  0  3 11- -5 -4  4
Curve Equation t Generators 45177l1 [1,0,0,-713,13404] 1 [151:1756:1]
45177m (2 curves)	0	3- 11- 37-	1 3-  4  0 11-  6  2  0
Curve Equation t 45177m1 [1,0,1,-10904114,20120476439] 2 45177m2 [1,0,1,-195534299,1052203210589] 2
45177n (2 curves)	2	3- 11- 37-	-1 3- -4  0 11- -6 -2  0
Curve Equation t Generators 45177n1 [1,0,0,-7965,396576] 2 [-96:576:1]&[135:1269:1] 45177n2 [1,0,0,-142830,20761191] 2 [246:-849:1]&[-117:6048:1]

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

Part of Computational Number Theory
Back to Tables and computations