Cremona's table of elliptic curves

4278 = 2 · 3 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
4278a (2 curves)	0	2+ 3+ 23+ 31-	2+ 3+  2  2  0  6  4 -2
Curve Equation t 4278a1 [1,1,0,-1234,28468] 2 4278a2 [1,1,0,-23554,1381060] 2
4278b (2 curves)	0	2+ 3+ 23+ 31-	2+ 3+ -2 -2  0 -2  0 -6
Curve Equation t 4278b1 [1,1,0,-12869711,-17775933531] 2 4278b2 [1,1,0,-205915391,-1137402268395] 2
4278c (1 curve)	0	2+ 3+ 23+ 31-	2+ 3+  3 -2 -5  3  5 -1
Curve Equation t 4278c1 [1,1,0,-5481,306693] 1
4278d (2 curves)	1	2+ 3+ 23- 31-	2+ 3+ -4 -4  6 -6 -2 -2
Curve Equation t Generators 4278d1 [1,1,0,-36342,-138203820] 2 [3740:226290:1] 4278d2 [1,1,0,-4235382,-3316877100] 2 [3375:142695:1]
4278e (1 curve)	1	2+ 3- 23- 31+	2+ 3-  1  1 -3 -2 -2 -4
Curve Equation t Generators 4278e1 [1,0,1,-48,34] 1 [-1:9:1]
4278f (1 curve)	1	2+ 3- 23- 31+	2+ 3-  1 -4  1  1 -3  3
Curve Equation t Generators 4278f1 [1,0,1,-328,2270] 1 [16:26:1]
4278g (2 curves)	1	2+ 3- 23- 31+	2+ 3- -2  2  4 -2  0 -6
Curve Equation t Generators 4278g1 [1,0,1,-5952,-177266] 2 [182:2094:1] 4278g2 [1,0,1,-95232,-11319410] 2 [374:2139:1]
4278h (2 curves)	1	2+ 3- 23- 31+	2+ 3- -2 -2  0 -2  4  2
Curve Equation t Generators 4278h1 [1,0,1,-80182,78941384] 2 [277:8693:1] 4278h2 [1,0,1,-3294262,2287657160] 2 [-2060:19280:1]
4278i (2 curves)	0	2+ 3- 23- 31-	2+ 3- -2  4 -2  2 -6  6
Curve Equation t 4278i1 [1,0,1,-62,-196] 2 4278i2 [1,0,1,-992,-12100] 2
4278j (2 curves)	0	2+ 3- 23- 31-	2+ 3-  3 -1  3  2 -6 -4
Curve Equation t 4278j1 [1,0,1,-5380247,4802980538] 3 4278j2 [1,0,1,-5774582,4058221448] 1
4278k (2 curves)	0	2+ 3- 23- 31-	2+ 3-  4  4 -2  2  6  6
Curve Equation t 4278k1 [1,0,1,-220724,40176434] 2 4278k2 [1,0,1,-3538484,2561674034] 2
4278l (1 curve)	0	2- 3+ 23+ 31+	2- 3+ -1 -3 -3 -2  2  4
Curve Equation t 4278l1 [1,1,1,-30926,-2105125] 1
4278m (1 curve)	1	2- 3+ 23- 31+	2- 3+  1 -1 -1 -6  6 -4
Curve Equation t Generators 4278m1 [1,1,1,-15,-27] 1 [-3:2:1]
4278n (4 curves)	1	2- 3+ 23- 31+	2- 3+ -2 -4  4 -2 -2  8
Curve Equation t Generators 4278n1 [1,1,1,-219,-855] 2 [-5:14:1] 4278n2 [1,1,1,-1499,21161] 4 [-27:220:1] 4278n3 [1,1,1,-23819,1405001] 4 [37:740:1] 4278n4 [1,1,1,341,71945] 2 [-19:252:1]
4278o (1 curve)	1	2- 3- 23- 31-	2- 3- -1  0 -3 -5  1 -1
Curve Equation t Generators 4278o1 [1,0,0,-139696,-27528448] 1 [752:-17488:1]
4278p (1 curve)	1	2- 3- 23- 31-	2- 3- -1 -3  3 -2 -2 -4
Curve Equation t Generators 4278p1 [1,0,0,-336,2304] 1 [0:48:1]

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