Cremona's table of elliptic curves

31407 = 3 · 19² · 29

Class	r	Atkin-Lehner	Eigenvalues
31407a (1 curve)	0	3+ 19- 29+	1 3+  2 -1  6 -1 -4 19-
Curve Equation t 31407a1 [1,1,0,62446,16943163] 1
31407b (1 curve)	2	3+ 19- 29+	-1 3+  2 -4 -2 -2  3 19-
Curve Equation t Generators 31407b1 [1,1,1,-17,-16] 1 [-4:4:1]&[-1:1:1]
31407c (1 curve)	1	3- 19+ 29-	1 3-  2 -4 -2  2  3 19+
Curve Equation t Generators 31407c1 [1,0,1,-6145,59369] 1 [391:7385:1]
31407d (1 curve)	1	3- 19+ 29-	-1 3-  2 -1  6  1 -4 19+
Curve Equation t Generators 31407d1 [1,0,0,173,-2452] 1 [11:23:1]
31407e (1 curve)	1	3- 19- 29+	0 3- -3 -1 -5  4 -7 19-
Curve Equation t Generators 31407e1 [0,1,1,-9867,-1191103] 1 [633:15703:1]
31407f (4 curves)	0	3- 19- 29-	-1 3- -2  0  0  2 -2 19-
Curve Equation t 31407f1 [1,0,0,3061,24984] 4 31407f2 [1,0,0,-13184,203679] 4 31407f3 [1,0,0,-116069,-15085032] 2 31407f4 [1,0,0,-170219,26993850] 2

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

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