Cremona's table of elliptic curves

6624 = 2⁵ · 3² · 23

Class	r	Atkin-Lehner	Eigenvalues
6624a (2 curves)	0	2+ 3- 23+	2+ 3-  2 -2  2  6  0  4
Curve Equation t 6624a1 [0,0,0,51,-52] 2 6624a2 [0,0,0,-219,-430] 2
6624b (2 curves)	0	2+ 3- 23+	2+ 3- -2 -2 -2 -2  0 -8
Curve Equation t 6624b1 [0,0,0,23379,-2095684] 2 6624b2 [0,0,0,-173451,-22211710] 2
6624c (2 curves)	1	2+ 3- 23-	2+ 3-  0 -2  4  2  0 -2
Curve Equation t Generators 6624c1 [0,0,0,195,844] 2 [8:54:1] 6624c2 [0,0,0,-1020,7648] 2 [-4:108:1]
6624d (2 curves)	1	2- 3- 23+	2- 3-  0  0  2 -2  6 -2
Curve Equation t Generators 6624d1 [0,0,0,15,448] 2 [-4:18:1] 6624d2 [0,0,0,-795,8386] 2 [50:306:1]
6624e (2 curves)	1	2- 3- 23+	2- 3-  0  2 -4  2  0  2
Curve Equation t Generators 6624e1 [0,0,0,195,-844] 2 [5:16:1] 6624e2 [0,0,0,-1020,-7648] 2 [-26:36:1]
6624f (2 curves)	1	2- 3- 23+	2- 3- -4 -4 -6  6  2  2
Curve Equation t Generators 6624f1 [0,0,0,-417,-5200] 2 [31:108:1] 6624f2 [0,0,0,-7707,-260350] 2 [274:4266:1]
6624g (2 curves)	0	2- 3- 23-	2- 3-  0  0 -2 -2  6  2
Curve Equation t 6624g1 [0,0,0,15,-448] 2 6624g2 [0,0,0,-795,-8386] 2
6624h (2 curves)	0	2- 3- 23-	2- 3-  2  2 -2  6  0 -4
Curve Equation t 6624h1 [0,0,0,51,52] 2 6624h2 [0,0,0,-219,430] 2
6624i (2 curves)	0	2- 3- 23-	2- 3- -2  2  2 -2  0  8
Curve Equation t 6624i1 [0,0,0,23379,2095684] 2 6624i2 [0,0,0,-173451,22211710] 2
6624j (2 curves)	0	2- 3- 23-	2- 3- -4  4  6  6  2 -2
Curve Equation t 6624j1 [0,0,0,-417,5200] 2 6624j2 [0,0,0,-7707,260350] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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