Cremona's table of elliptic curves

42504 = 2³ · 3 · 7 · 11 · 23

Class	r	Atkin-Lehner	Eigenvalues
42504a (1 curve)	1	2+ 3+ 7+ 11+ 23+	2+ 3+  0 7+ 11+  1  7 -5
Curve Equation t Generators 42504a1 [0,-1,0,-1288,-572516] 1 [118674:1364876:729]
42504b (2 curves)	1	2+ 3+ 7+ 11+ 23+	2+ 3+  0 7+ 11+  4 -2  4
Curve Equation t Generators 42504b1 [0,-1,0,692,8020] 2 [13:138:1] 42504b2 [0,-1,0,-4368,82908] 2 [57:126:1]
42504c (1 curve)	1	2+ 3+ 7+ 11+ 23+	2+ 3+ -3 7+ 11+  1 -2  1
Curve Equation t Generators 42504c1 [0,-1,0,-19152,1067661] 1 [110:529:1]
42504d (4 curves)	0	2+ 3+ 7+ 11- 23+	2+ 3+ -2 7+ 11-  6  6 -4
Curve Equation t 42504d1 [0,-1,0,-1559,-8172] 2 42504d2 [0,-1,0,-13564,606484] 4 42504d3 [0,-1,0,-2784,1533564] 2 42504d4 [0,-1,0,-216424,38825308] 4
42504e (1 curve)	0	2+ 3+ 7- 11+ 23+	2+ 3+  3 7- 11+  5  4  6
Curve Equation t 42504e1 [0,-1,0,-2481704,1506247212] 1
42504f (1 curve)	1	2+ 3- 7+ 11+ 23-	2+ 3-  4 7+ 11+ -3 -3  7
Curve Equation t Generators 42504f1 [0,1,0,1224,-7008] 1 [156:460:27]
42504g (4 curves)	1	2+ 3- 7- 11+ 23+	2+ 3-  2 7- 11+ -2  2  8
Curve Equation t Generators 42504g1 [0,1,0,-1772,28128] 2 [9636:114435:64] 42504g2 [0,1,0,-1792,27440] 4 [595:14490:1] 42504g3 [0,1,0,968,106928] 2 [74255:1814274:125] 42504g4 [0,1,0,-4872,-95760] 2 [-49710:161433:1000]
42504h (1 curve)	0	2+ 3- 7- 11+ 23-	2+ 3- -1 7- 11+  5  4  4
Curve Equation t 42504h1 [0,1,0,11771304,9392748528] 1
42504i (4 curves)	0	2+ 3- 7- 11+ 23-	2+ 3-  2 7- 11+  2 -2  4
Curve Equation t 42504i1 [0,1,0,-407,-1818] 2 42504i2 [0,1,0,-3052,62720] 4 42504i3 [0,1,0,168,191520] 2 42504i4 [0,1,0,-48592,4106672] 2
42504j (2 curves)	1	2+ 3- 7- 11- 23-	2+ 3-  0 7- 11-  0 -6  0
Curve Equation t Generators 42504j1 [0,1,0,-8503,-250954] 2 [-55:231:1] 42504j2 [0,1,0,17012,-1445056] 2 [188:2904:1]
42504k (1 curve)	1	2+ 3- 7- 11- 23-	2+ 3- -3 7- 11-  3  0 -7
Curve Equation t Generators 42504k1 [0,1,0,-672,6489] 1 [24:69:1]
42504l (2 curves)	1	2- 3+ 7+ 11+ 23-	2- 3+  0 7+ 11+ -4  6 -8
Curve Equation t Generators 42504l1 [0,-1,0,-63,0] 2 [-7:7:1] 42504l2 [0,-1,0,252,-252] 2 [12:-66:1]
42504m (4 curves)	1	2- 3+ 7+ 11+ 23-	2- 3+ -2 7+ 11+ -6 -2  0
Curve Equation t Generators 42504m1 [0,-1,0,1836,-19260] 4 [12:66:1] 42504m2 [0,-1,0,-8744,-158916] 4 [-26:224:1] 42504m3 [0,-1,0,-66704,6541260] 2 [181:604:1] 42504m4 [0,-1,0,-120064,-15966356] 2 [1093:34020:1]
42504n (6 curves)	1	2- 3+ 7+ 11- 23+	2- 3+ -2 7+ 11- -2 -6  4
Curve Equation t Generators 42504n1 [0,-1,0,-4719,140880] 4 [1:369:1] 42504n2 [0,-1,0,-77924,8398404] 8 [-14:3080:1] 42504n3 [0,-1,0,-80344,7851484] 4 [406:6480:1] 42504n4 [0,-1,0,-1246784,536255580] 4 [726:3636:1] 42504n5 [0,-1,0,113696,39751660] 2 [2170:76095:8] 42504n6 [0,-1,0,-313104,-59090292] 2 [79845:132678:125]
42504o (4 curves)	0	2- 3+ 7+ 11- 23-	2- 3+  2 7+ 11- -2  6  4
Curve Equation t 42504o1 [0,-1,0,188,-380] 2 42504o2 [0,-1,0,-792,-2340] 4 42504o3 [0,-1,0,-7232,237228] 2 42504o4 [0,-1,0,-10032,-383028] 2
42504p (1 curve)	0	2- 3+ 7- 11+ 23-	2- 3+  0 7- 11+ -3 -1 -7
Curve Equation t 42504p1 [0,-1,0,-1328,-21252] 1
42504q (4 curves)	2	2- 3+ 7- 11+ 23-	2- 3+ -2 7- 11+ -6 -2  4
Curve Equation t Generators 42504q1 [0,-1,0,121,0] 2 [1:11:1]&[16:76:1] 42504q2 [0,-1,0,-484,484] 4 [-20:42:1]&[-11:66:1] 42504q3 [0,-1,0,-5104,-138116] 2 [-42:20:1]&[-39:10:1] 42504q4 [0,-1,0,-5544,160380] 2 [-67:476:1]&[-18:504:1]
42504r (2 curves)	1	2- 3- 7+ 11+ 23+	2- 3-  0 7+ 11+  0 -2 -4
Curve Equation t Generators 42504r1 [0,1,0,-148,4640] 2 [2:-66:1] 42504r2 [0,1,0,-5208,142272] 2 [-24:504:1]
42504s (1 curve)	1	2- 3- 7+ 11+ 23+	2- 3-  1 7+ 11+  1  8 -5
Curve Equation t Generators 42504s1 [0,1,0,1410520,1104974877] 1 [3886:255507:1]
42504t (1 curve)	0	2- 3- 7+ 11+ 23-	2- 3- -1 7+ 11+ -5  0  2
Curve Equation t 42504t1 [0,1,0,-96,-672] 1
42504u (1 curve)	0	2- 3- 7+ 11+ 23-	2- 3-  4 7+ 11+ -5  5  7
Curve Equation t 42504u1 [0,1,0,-59025296,174716967312] 1
42504v (2 curves)	0	2- 3- 7+ 11+ 23-	2- 3- -4 7+ 11+  0  6  0
Curve Equation t 42504v1 [0,1,0,-21129295,35396969594] 2 42504v2 [0,1,0,15930140,146352917984] 2
42504w (1 curve)	0	2- 3- 7- 11+ 23+	2- 3- -1 7- 11+ -2  6 -2
Curve Equation t 42504w1 [0,1,0,-441,-3717] 1
42504x (1 curve)	0	2- 3- 7- 11+ 23+	2- 3- -1 7- 11+  3  6  3
Curve Equation t 42504x1 [0,1,0,-3517316,3996866541] 1
42504y (4 curves)	0	2- 3- 7- 11+ 23+	2- 3-  2 7- 11+  2 -6 -4
Curve Equation t 42504y1 [0,1,0,-1407,-16758] 4 42504y2 [0,1,0,-21252,-1199520] 4 42504y3 [0,1,0,-19992,-1346688] 2 42504y4 [0,1,0,-340032,-76431600] 2
42504z (1 curve)	1	2- 3- 7- 11- 23+	2- 3-  1 7- 11- -5  4  5
Curve Equation t Generators 42504z1 [0,1,0,2060,-28963] 1 [302:5313:1]

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