Cremona's table of elliptic curves

1368 = 2³ · 3² · 19

Class	r	Atkin-Lehner	Eigenvalues
1368a (2 curves)	1	2+ 3+ 19+	2+ 3+ -4  0  6  2 -4 19+
Curve Equation t Generators 1368a1 [0,0,0,-162,945] 2 [4:19:1] 1368a2 [0,0,0,-2727,54810] 2 [3:216:1]
1368b (2 curves)	0	2+ 3+ 19-	2+ 3+  0  0  2 -2  4 19-
Curve Equation t 1368b1 [0,0,0,-135,378] 2 1368b2 [0,0,0,405,2646] 2
1368c (1 curve)	1	2+ 3- 19-	2+ 3- -1 -3  5 -2  1 19-
Curve Equation t Generators 1368c1 [0,0,0,492,-3004] 1 [46:-342:1]
1368d (2 curves)	0	2- 3+ 19+	2- 3+  4  0 -6  2  4 19+
Curve Equation t 1368d1 [0,0,0,-18,-35] 2 1368d2 [0,0,0,-303,-2030] 2
1368e (2 curves)	1	2- 3+ 19-	2- 3+  0  0 -2 -2 -4 19-
Curve Equation t Generators 1368e1 [0,0,0,-15,-14] 2 [-3:2:1] 1368e2 [0,0,0,45,-98] 2 [3:8:1]
1368f (1 curve)	1	2- 3- 19+	2- 3-  1 -3  3 -4 -5 19+
Curve Equation t Generators 1368f1 [0,0,0,-12,-92] 1 [8:18:1]
1368g (4 curves)	1	2- 3- 19+	2- 3- -2  0  0  2 -2 19+
Curve Equation t Generators 1368g1 [0,0,0,-1551,23506] 4 [-25:216:1] 1368g2 [0,0,0,-1731,17710] 4 [3:112:1] 1368g3 [0,0,0,-11451,-458570] 2 [-462:805:8] 1368g4 [0,0,0,5109,123046] 2 [174:2506:1]
1368h (1 curve)	0	2- 3- 19-	2- 3-  0  3 -2  1  5 19-
Curve Equation t 1368h1 [0,0,0,-75,358] 1
1368i (1 curve)	0	2- 3- 19-	2- 3-  3 -3  1 -2  5 19-
Curve Equation t 1368i1 [0,0,0,-516,-5132] 1
1368j (2 curves)	0	2- 3- 19-	2- 3- -4  4  4 -4 -6 19-
Curve Equation t 1368j1 [0,0,0,-147,-610] 2 1368j2 [0,0,0,213,-3130] 2

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

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