Cremona's table of elliptic curves

1216 = 2⁶ · 19

Class	r	Atkin-Lehner	Eigenvalues
1216a (1 curve)	1	2+ 19+	2+  0  1 -1 -3  4 -3 19+
Curve Equation t Generators 1216a1 [0,0,0,-2,2] 1 [1:1:1]
1216b (3 curves)	1	2+ 19+	2+ -1  0 -1  6 -5  3 19+
Curve Equation t Generators 1216b1 [0,-1,0,-993,12385] 1 [9:64:1] 1216b2 [0,-1,0,607,45601] 1 [57:512:1] 1216b3 [0,-1,0,-5473,-1251871] 1 [47215:262144:343]
1216c (1 curve)	1	2+ 19+	2+ -1  0  3 -2 -1 -5 19+
Curve Equation t Generators 1216c1 [0,-1,0,-33,-95] 1 [9:16:1]
1216d (3 curves)	1	2+ 19+	2+  2 -3 -1 -3  4 -3 19+
Curve Equation t Generators 1216d1 [0,-1,0,3,-1] 1 [2:3:1] 1216d2 [0,-1,0,-37,-81] 1 [18:69:1] 1216d3 [0,-1,0,-3077,-64681] 1 [56182:668541:343]
1216e (1 curve)	0	2+ 19-	2+  0  1  1  3  4 -3 19-
Curve Equation t 1216e1 [0,0,0,-2,-2] 1
1216f (2 curves)	0	2+ 19-	2+  1  4  3 -2  1  3 19-
Curve Equation t 1216f1 [0,1,0,-1,607] 1 1216f2 [0,1,0,-4481,-129313] 1
1216g (1 curve)	0	2+ 19-	2+  2  1 -3  3  4  5 19-
Curve Equation t 1216g1 [0,-1,0,-5,29] 1
1216h (1 curve)	0	2+ 19-	2+ -2  1 -3 -5  4 -3 19-
Curve Equation t 1216h1 [0,1,0,-85,-333] 1
1216i (1 curve)	0	2- 19+	2-  0 -3 -5  5  4 -3 19+
Curve Equation t 1216i1 [0,0,0,-14,-606] 1
1216j (2 curves)	0	2- 19+	2- -1  4 -3  2  1  3 19+
Curve Equation t 1216j1 [0,-1,0,-1,-607] 1 1216j2 [0,-1,0,-4481,129313] 1
1216k (1 curve)	0	2- 19+	2-  2  1  3  5  4 -3 19+
Curve Equation t 1216k1 [0,-1,0,-85,333] 1
1216l (1 curve)	0	2- 19+	2- -2  1  3 -3  4  5 19+
Curve Equation t 1216l1 [0,1,0,-5,-29] 1
1216m (1 curve)	0	2- 19+	2-  3  0  1  2  1  3 19+
Curve Equation t 1216m1 [0,0,0,20,-16] 1
1216n (1 curve)	1	2- 19-	2-  0 -3  5 -5  4 -3 19-
Curve Equation t Generators 1216n1 [0,0,0,-14,606] 1 [-7:19:1]
1216o (3 curves)	1	2- 19-	2-  1  0  1 -6 -5  3 19-
Curve Equation t Generators 1216o1 [0,1,0,-993,-12385] 1 [55:320:1] 1216o2 [0,1,0,607,-45601] 1 [455:9728:1] 1216o3 [0,1,0,-5473,1251871] 1 [12333:262144:27]
1216p (1 curve)	1	2- 19-	2-  1  0 -3  2 -1 -5 19-
Curve Equation t Generators 1216p1 [0,1,0,-33,95] 1 [7:16:1]
1216q (3 curves)	1	2- 19-	2- -2 -3  1  3  4 -3 19-
Curve Equation t Generators 1216q1 [0,1,0,3,1] 1 [0:1:1] 1216q2 [0,1,0,-37,81] 1 [8:19:1] 1216q3 [0,1,0,-3077,64681] 1 [32:3:1]
1216r (1 curve)	1	2- 19-	2- -3  0 -1 -2  1  3 19-
Curve Equation t Generators 1216r1 [0,0,0,20,16] 1 [2:8:1]

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

Part of Computational Number Theory
Back to Tables and computations