Cremona's table of elliptic curves

7504 = 2⁴ · 7 · 67

Class	r	Atkin-Lehner	Eigenvalues
7504a (1 curve)	1	2+ 7+ 67+	2+  0 -2 7+  0  4  1  1
Curve Equation t Generators 7504a1 [0,0,0,4,44] 1 [1:7:1]
7504b (1 curve)	1	2+ 7+ 67+	2+  1 -3 7+  0 -1  4  0
Curve Equation t Generators 7504b1 [0,1,0,-7,4] 1 [0:2:1]
7504c (1 curve)	1	2+ 7+ 67+	2+ -1  1 7+  0  3 -6  0
Curve Equation t Generators 7504c1 [0,-1,0,-75,-122] 1 [-2:4:1]
7504d (1 curve)	1	2+ 7+ 67+	2+ -1 -1 7+  2  1  6 -6
Curve Equation t Generators 7504d1 [0,-1,0,-456,3904] 1 [12:4:1]
7504e (2 curves)	1	2+ 7+ 67+	2+ -2  0 7+  0 -4 -2  6
Curve Equation t Generators 7504e1 [0,1,0,-11968,-508284] 2 [464:9698:1] 7504e2 [0,1,0,-191528,-32326316] 2 [930:24388:1]
7504f (1 curve)	1	2+ 7+ 67+	2+  3  1 7+  0 -5 -2 -8
Curve Equation t Generators 7504f1 [0,0,0,-1342,-2833] 1 [-12357:89416:729]
7504g (1 curve)	0	2+ 7+ 67-	2+ -1 -1 7+  0  5 -6  4
Curve Equation t 7504g1 [0,-1,0,-13196,-579056] 1
7504h (2 curves)	0	2+ 7- 67+	2+  0  0 7-  4  4  2  6
Curve Equation t 7504h1 [0,0,0,25,-954] 2 7504h2 [0,0,0,-1315,-17838] 2
7504i (1 curve)	0	2+ 7- 67+	2+  3 -1 7-  4  5  0  4
Curve Equation t 7504i1 [0,0,0,-1258,10379] 1
7504j (1 curve)	0	2+ 7- 67+	2+  3  3 7-  4  1 -4  0
Curve Equation t 7504j1 [0,0,0,-9586,361247] 1
7504k (1 curve)	0	2+ 7- 67+	2+ -3  3 7-  4  1  2  0
Curve Equation t 7504k1 [0,0,0,-3646,-84737] 1
7504l (1 curve)	2	2+ 7- 67+	2+ -3 -3 7- -2 -5  2 -6
Curve Equation t Generators 7504l1 [0,0,0,-139,586] 1 [-11:28:1]&[-5:34:1]
7504m (1 curve)	1	2+ 7- 67-	2+  1 -3 7-  4 -1 -2  4
Curve Equation t Generators 7504m1 [0,1,0,-12,-4] 1 [-2:4:1]
7504n (1 curve)	2	2- 7+ 67+	2- -1 -1 7+ -2 -7 -2  2
Curve Equation t Generators 7504n1 [0,-1,0,-56,112] 1 [-6:14:1]&[-4:16:1]
7504o (2 curves)	0	2- 7+ 67+	2- -1  3 7+  0  5  0 -2
Curve Equation t 7504o1 [0,-1,0,-29,-44] 1 7504o2 [0,-1,0,-589,5696] 1
7504p (3 curves)	0	2- 7+ 67+	2- -1  3 7+  6  5  6 -2
Curve Equation t 7504p1 [0,-1,0,-2864,-47168] 1 7504p2 [0,-1,0,-69424,7059392] 1 7504p3 [0,-1,0,-5622384,5133191872] 1
7504q (2 curves)	0	2- 7+ 67+	2-  2  2 7+  4  2 -2  8
Curve Equation t 7504q1 [0,-1,0,-5832,-870928] 2 7504q2 [0,-1,0,-177352,-28588560] 2
7504r (1 curve)	1	2- 7+ 67-	2-  1 -1 7+  4 -3  0 -4
Curve Equation t Generators 7504r1 [0,1,0,-896,6836] 1 [-22:128:1]
7504s (1 curve)	1	2- 7+ 67-	2- -1  1 7+  4 -1 -4  6
Curve Equation t Generators 7504s1 [0,-1,0,-5,4] 1 [0:2:1]
7504t (1 curve)	2	2- 7- 67-	2- -1 -3 7-  0 -1 -8 -8
Curve Equation t Generators 7504t1 [0,-1,0,-1272,17584] 1 [-38:98:1]&[-12:176:1]
7504u (1 curve)	0	2- 7- 67-	2-  3  1 7-  0  3  0  4
Curve Equation t 7504u1 [0,0,0,-187,-982] 1

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