Cremona's table of elliptic curves

31304 = 2³ · 7 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
31304a (1 curve)	0	2+ 7+ 13+ 43-	2+  1  4 7+  5 13+ -8  1
Curve Equation t 31304a1 [0,1,0,-456,3632] 1
31304b (4 curves)	0	2+ 7+ 13- 43+	2+  0  2 7+  0 13- -6 -4
Curve Equation t 31304b1 [0,0,0,121,730] 2 31304b2 [0,0,0,-859,7590] 4 31304b3 [0,0,0,-4499,-109618] 2 31304b4 [0,0,0,-12899,563838] 2
31304c (1 curve)	2	2+ 7+ 13- 43+	2+  0 -2 7+ -3 13- -8  3
Curve Equation t Generators 31304c1 [0,0,0,-131,113934] 1 [-49:52:1]&[-10:338:1]
31304d (1 curve)	0	2+ 7+ 13- 43+	2+  3 -2 7+  3 13- -2  6
Curve Equation t 31304d1 [0,0,0,-6691,-210754] 1
31304e (1 curve)	1	2- 7- 13+ 43+	2-  1 -2 7- -1 13+  2  5
Curve Equation t Generators 31304e1 [0,1,0,-13664,-619360] 1 [1162:5551:8]
31304f (1 curve)	0	2- 7- 13- 43+	2-  1  0 7-  1 13- -6  1
Curve Equation t 31304f1 [0,1,0,112,224] 1
31304g (1 curve)	1	2- 7- 13- 43-	2-  2  0 7- -3 13- -6  1
Curve Equation t Generators 31304g1 [0,-1,0,-208,-1092] 1 [1002:11091:8]

Data from Elliptic Curve Data by J. E. Cremona.
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