Cremona's table of elliptic curves

522 = 2 · 3² · 29

Class	r	Atkin-Lehner	Eigenvalues
522a (1 curve)	1	2+ 3+ 29+	2+ 3+  3 -5 -4 -6 -1 -5
Curve Equation t Generators 522a1 [1,-1,0,12,-208] 1 [7:10:1]
522b (2 curves)	0	2+ 3+ 29-	2+ 3+  2  4  0  2 -2  0
Curve Equation t 522b1 [1,-1,0,-2046,36244] 2 522b2 [1,-1,0,-32766,2291092] 2
522c (2 curves)	0	2+ 3+ 29-	2+ 3+ -3 -1  0  2  3  5
Curve Equation t 522c1 [1,-1,0,-6,-54] 3 522c2 [1,-1,0,-1311,-17947] 1
522d (2 curves)	0	2+ 3- 29+	2+ 3-  1  1  2  0  3 -1
Curve Equation t 522d1 [1,-1,0,-9,-3699] 1 522d2 [1,-1,0,-58599,5490531] 1
522e (1 curve)	1	2+ 3- 29-	2+ 3- -1  1 -6 -4  7 -3
Curve Equation t Generators 522e1 [1,-1,0,-45,139] 1 [-1:14:1]
522f (2 curves)	1	2+ 3- 29-	2+ 3- -1 -2  3 -1 -8  0
Curve Equation t Generators 522f1 [1,-1,0,45,-203] 1 [6:13:1] 522f2 [1,-1,0,-4095,102577] 1 [36:11:1]
522g (2 curves)	0	2- 3+ 29+	2- 3+ -2  4  0  2  2  0
Curve Equation t 522g1 [1,-1,1,-18416,-960173] 2 522g2 [1,-1,1,-294896,-61564589] 2
522h (2 curves)	0	2- 3+ 29+	2- 3+  3 -1  0  2 -3  5
Curve Equation t 522h1 [1,-1,1,-146,713] 3 522h2 [1,-1,1,-56,1513] 1
522i (1 curve)	1	2- 3+ 29-	2- 3+ -3 -5  4 -6  1 -5
Curve Equation t Generators 522i1 [1,-1,1,1,7] 1 [1:2:1]
522j (1 curve)	1	2- 3- 29+	2- 3- -3 -3 -6  0 -7  5
Curve Equation t Generators 522j1 [1,-1,1,-509,4677] 1 [11:12:1]
522k (4 curves)	0	2- 3- 29-	2- 3- -2  0  4  6  2  4
Curve Equation t 522k1 [1,-1,1,4,47] 4 522k2 [1,-1,1,-176,911] 4 522k3 [1,-1,1,-446,-2329] 2 522k4 [1,-1,1,-2786,57287] 2
522l (1 curve)	0	2- 3- 29-	2- 3-  3 -2  1  3  4 -8
Curve Equation t 522l1 [1,-1,1,-11,-17] 1
522m (2 curves)	0	2- 3- 29-	2- 3-  3  5 -6 -4 -3 -1
Curve Equation t 522m1 [1,-1,1,-69341,-33115291] 1 522m2 [1,-1,1,619564,858878903] 3

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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