Cremona's table of elliptic curves

1953 = 3² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
1953a (1 curve)	1	3+ 7+ 31+	0 3+  3 7+ -4  1 -2  0
Curve Equation t Generators 1953a1 [0,0,1,-6,-7] 1 [3:1:1]
1953b (1 curve)	1	3+ 7+ 31+	0 3+ -3 7+  4  1  2  0
Curve Equation t Generators 1953b1 [0,0,1,-54,182] 1 [0:13:1]
1953c (2 curves)	1	3- 7+ 31-	-1 3-  2 7+  2 -4  0 -4
Curve Equation t Generators 1953c1 [1,-1,1,31,128] 2 [4:15:1] 1953c2 [1,-1,1,-284,1640] 2 [0:40:1]
1953d (4 curves)	1	3- 7- 31+	1 3-  2 7-  0 -6 -6 -4
Curve Equation t Generators 1953d1 [1,-1,0,324,2187] 2 [22:129:1] 1953d2 [1,-1,0,-1881,22032] 4 [1152:38484:1] 1953d3 [1,-1,0,-11646,-464265] 2 [9230:307375:8] 1953d4 [1,-1,0,-27396,1751949] 2 [60:537:1]
1953e (2 curves)	1	3- 7- 31+	-1 3-  2 7- -2  4 -8 -4
Curve Equation t Generators 1953e1 [1,-1,1,-50369,4378848] 2 [84:815:1] 1953e2 [1,-1,1,-806684,279072456] 2 [518:-228:1]
1953f (2 curves)	1	3- 7- 31+	-1 3- -4 7- -2 -2 -2  8
Curve Equation t Generators 1953f1 [1,-1,1,-32,-30] 2 [-4:6:1] 1953f2 [1,-1,1,103,-300] 2 [8:27:1]
1953g (3 curves)	0	3- 7- 31-	0 3-  3 7-  0  5  0  2
Curve Equation t 1953g1 [0,0,1,204,2439] 1 1953g2 [0,0,1,-9516,357948] 3 1953g3 [0,0,1,-771186,260667459] 3

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

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