Cremona's table of elliptic curves

6708 = 2² · 3 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
6708a (2 curves)	0	2- 3+ 13+ 43+	2- 3+  0 -4  2 13+ -2  4
Curve Equation t 6708a1 [0,-1,0,-1893,-3654] 2 6708a2 [0,-1,0,-19308,1034280] 2
6708b (2 curves)	1	2- 3+ 13+ 43-	2- 3+  0 -4  6 13+ -2 -4
Curve Equation t Generators 6708b1 [0,-1,0,-53,138] 2 [2:6:1] 6708b2 [0,-1,0,-268,-1496] 2 [41:234:1]
6708c (2 curves)	1	2- 3+ 13+ 43-	2- 3+  2  0  0 13+ -2  4
Curve Equation t Generators 6708c1 [0,-1,0,543,1098] 2 [11:91:1] 6708c2 [0,-1,0,-2252,11160] 2 [54:210:1]
6708d (2 curves)	1	2- 3+ 13- 43+	2- 3+  0  2  4 13-  2 -6
Curve Equation t Generators 6708d1 [0,-1,0,-1853,-29850] 2 [-25:15:1] 6708d2 [0,-1,0,-29588,-1949112] 2 [226:1690:1]
6708e (2 curves)	2	2- 3+ 13- 43-	2- 3+ -2 -4  0 13- -6 -8
Curve Equation t Generators 6708e1 [0,-1,0,-689,7098] 2 [-29:43:1]&[-13:117:1] 6708e2 [0,-1,0,-44,19224] 2 [-26:46:1]&[-14:130:1]
6708f (2 curves)	1	2- 3- 13+ 43+	2- 3-  2 -4  4 13+ -2 -8
Curve Equation t Generators 6708f1 [0,1,0,-177,1008] 2 [-3:39:1] 6708f2 [0,1,0,-2972,61380] 2 [28:30:1]
6708g (2 curves)	1	2- 3- 13+ 43+	2- 3- -4  0  2 13+ -2  0
Curve Equation t Generators 6708g1 [0,1,0,-365,-2796] 2 [-11:3:1] 6708g2 [0,1,0,-580,644] 2 [-16:78:1]

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

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