Cremona's table of elliptic curves

30624 = 2⁵ · 3 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
30624a (2 curves)	0	2+ 3+ 11+ 29-	2+ 3+ -4  4 11+  4  6 -8
Curve Equation t 30624a1 [0,-1,0,-1350,19536] 2 30624a2 [0,-1,0,-1640,10836] 2
30624b (4 curves)	0	2+ 3+ 11- 29+	2+ 3+ -2  0 11-  2  6 -4
Curve Equation t 30624b1 [0,-1,0,-214,-416] 4 30624b2 [0,-1,0,776,-3980] 2 30624b3 [0,-1,0,-1809,29889] 2 30624b4 [0,-1,0,-2824,-56792] 2
30624c (2 curves)	1	2+ 3+ 11- 29-	2+ 3+  0  4 11-  0 -2 -4
Curve Equation t Generators 30624c1 [0,-1,0,-118,496] 2 [-10:24:1] 30624c2 [0,-1,0,-408,-2520] 2 [-357:532:27]
30624d (4 curves)	0	2+ 3- 11+ 29+	2+ 3- -2  0 11+  2  6  4
Curve Equation t 30624d1 [0,1,0,-214,416] 4 30624d2 [0,1,0,776,3980] 2 30624d3 [0,1,0,-1809,-29889] 2 30624d4 [0,1,0,-2824,56792] 2
30624e (2 curves)	1	2+ 3- 11+ 29-	2+ 3-  0 -4 11+  0 -2  4
Curve Equation t Generators 30624e1 [0,1,0,-118,-496] 2 [-7:6:1] 30624e2 [0,1,0,-408,2520] 2 [-18:66:1]
30624f (2 curves)	1	2+ 3- 11- 29+	2+ 3-  0  0 11-  2  6 -6
Curve Equation t Generators 30624f1 [0,1,0,22,0] 2 [147:476:27] 30624f2 [0,1,0,-88,-88] 2 [26:126:1]
30624g (2 curves)	0	2+ 3- 11- 29-	2+ 3- -2 -2 11-  2  2  4
Curve Equation t 30624g1 [0,1,0,-34,32] 2 30624g2 [0,1,0,111,351] 2
30624h (2 curves)	0	2+ 3- 11- 29-	2+ 3- -4 -4 11-  4  6  8
Curve Equation t 30624h1 [0,1,0,-1350,-19536] 2 30624h2 [0,1,0,-1640,-10836] 2
30624i (2 curves)	0	2- 3+ 11+ 29+	2- 3+  0  0 11+  2  6  6
Curve Equation t 30624i1 [0,-1,0,22,0] 2 30624i2 [0,-1,0,-88,88] 2
30624j (1 curve)	2	2- 3+ 11+ 29+	2- 3+ -3  1 11+  0 -1 -7
Curve Equation t Generators 30624j1 [0,-1,0,-1152,15444] 1 [17:22:1]&[-28:158:1]
30624k (2 curves)	1	2- 3+ 11+ 29-	2- 3+ -2  2 11+  2  2 -4
Curve Equation t Generators 30624k1 [0,-1,0,-34,-32] 2 [8:12:1] 30624k2 [0,-1,0,111,-351] 2 [9:36:1]
30624l (1 curve)	0	2- 3- 11- 29+	2- 3- -3 -1 11-  0 -1  7
Curve Equation t 30624l1 [0,1,0,-1152,-15444] 1

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