Cremona's table of elliptic curves

20313 = 3² · 37 · 61

Class	r	Atkin-Lehner	Eigenvalues
20313a (1 curve)	1	3+ 37+ 61+	2 3+ -1  2  5  4  0 -6
Curve Equation t Generators 20313a1 [0,0,1,-2193,-39535] 1 [2684203332:9064787123:45118016]
20313b (1 curve)	1	3+ 37+ 61+	-2 3+  1  2 -5  4  0 -6
Curve Equation t Generators 20313b1 [0,0,1,-19737,1067438] 1 [81:13:1]
20313c (1 curve)	1	3+ 37- 61-	2 3+ -3  2  1  0  0 -2
Curve Equation t Generators 20313c1 [0,0,1,81,155] 1 [-60:535:64]
20313d (1 curve)	1	3+ 37- 61-	-2 3+  3  2 -1  0  0 -2
Curve Equation t Generators 20313d1 [0,0,1,9,-6] 1 [2:4:1]
20313e (2 curves)	0	3- 37+ 61+	1 3-  2  2  2  2 -2  6
Curve Equation t 20313e1 [1,-1,0,-396,-2885] 2 20313e2 [1,-1,0,9,-8798] 2
20313f (1 curve)	1	3- 37- 61+	0 3-  4 -3  3 -4  2 -4
Curve Equation t Generators 20313f1 [0,0,1,-138,396] 1 [30:152:1]
20313g (1 curve)	1	3- 37- 61+	1 3-  3  1 -1 -5  2  2
Curve Equation t Generators 20313g1 [1,-1,0,60957,12593502] 1 [582:15360:1]
20313h (2 curves)	2	3- 37- 61-	1 3-  0 -4  2 -6  6 -8
Curve Equation t Generators 20313h1 [1,-1,0,-342,1863] 2 [18:27:1]&[22:57:1] 20313h2 [1,-1,0,873,11340] 2 [4:120:1]&[1224:42210:1]

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

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