Cremona's table of elliptic curves

6216 = 2³ · 3 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
6216a (1 curve)	1	2+ 3+ 7+ 37+	2+ 3+  1 7+  1 -3  2  4
Curve Equation t Generators 6216a1 [0,-1,0,2975,8869] 1 [121:1458:1]
6216b (1 curve)	1	2+ 3+ 7+ 37+	2+ 3+  1 7+ -2  0 -4  1
Curve Equation t Generators 6216b1 [0,-1,0,-120,-1332] 1 [173:2264:1]
6216c (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+ -2 7+ -2  0  2  4
Curve Equation t Generators 6216c1 [0,-1,0,-124,8404] 2 [14:96:1] 6216c2 [0,-1,0,-6984,225180] 2 [18:324:1]
6216d (2 curves)	1	2+ 3+ 7+ 37+	2+ 3+ -2 7+  4  0  2 -2
Curve Equation t Generators 6216d1 [0,-1,0,-3099,-65376] 2 [560:13172:1] 6216d2 [0,-1,0,-3284,-56940] 2 [-43:54:1]
6216e (2 curves)	1	2+ 3+ 7- 37-	2+ 3+  0 7-  0 -2  4  4
Curve Equation t Generators 6216e1 [0,-1,0,37,0] 2 [4:14:1] 6216e2 [0,-1,0,-148,148] 2 [-6:28:1]
6216f (1 curve)	1	2+ 3+ 7- 37-	2+ 3+ -1 7-  3  1 -2 -4
Curve Equation t Generators 6216f1 [0,-1,0,-201,1197] 1 [-3:42:1]
6216g (4 curves)	1	2+ 3+ 7- 37-	2+ 3+  2 7-  0 -2 -2 -4
Curve Equation t Generators 6216g1 [0,-1,0,-37847,-3171252] 4 [19891:2805131:1] 6216g2 [0,-1,0,-626092,-190468460] 4 [3245:178710:1] 6216g3 [0,-1,0,-10017432,-12200114052] 2 [109371:3157210:27] 6216g4 [0,-1,0,-646672,-177256100] 2 [1250:31080:1]
6216h (1 curve)	1	2+ 3+ 7- 37-	2+ 3+ -3 7-  0 -2 -2  1
Curve Equation t Generators 6216h1 [0,-1,0,-15912,874476] 1 [77:316:1]
6216i (4 curves)	1	2+ 3- 7+ 37-	2+ 3-  2 7+ -4 -2 -2  8
Curve Equation t Generators 6216i1 [0,1,0,-607,5558] 4 [-11:105:1] 6216i2 [0,1,0,-652,4640] 4 [10:495:8] 6216i3 [0,1,0,-3592,-80032] 2 [292:4884:1] 6216i4 [0,1,0,1568,31280] 2 [14478:143605:216]
6216j (2 curves)	1	2+ 3- 7+ 37-	2+ 3- -4 7+  0 -2  0  8
Curve Equation t Generators 6216j1 [0,1,0,-12915,226314] 2 [9:333:1] 6216j2 [0,1,0,46620,1774224] 2 [0:1332:1]
6216k (2 curves)	1	2+ 3- 7- 37+	2+ 3-  0 7- -4 -4  0  2
Curve Equation t Generators 6216k1 [0,1,0,-28,224] 2 [8:24:1] 6216k2 [0,1,0,-768,7920] 2 [12:24:1]
6216l (2 curves)	2	2- 3+ 7+ 37+	2- 3+ -2 7+ -4 -4 -6 -2
Curve Equation t Generators 6216l1 [0,-1,0,-19,4] 2 [-3:5:1]&[0:2:1] 6216l2 [0,-1,0,-204,1188] 2 [-12:42:1]&[-3:42:1]
6216m (4 curves)	1	2- 3+ 7+ 37-	2- 3+  2 7+ -4 -2  6  4
Curve Equation t Generators 6216m1 [0,-1,0,-407,4632] 4 [1:65:1] 6216m2 [0,-1,0,-7252,240100] 4 [0:490:1] 6216m3 [0,-1,0,-7992,188892] 2 [126:1080:1] 6216m4 [0,-1,0,-116032,15251740] 2 [222:620:1]
6216n (2 curves)	1	2- 3+ 7+ 37-	2- 3+ -4 7+ -4  2  8 -8
Curve Equation t Generators 6216n1 [0,-1,0,-595,6076] 2 [9:37:1] 6216n2 [0,-1,0,-9660,368676] 2 [84:-378:1]
6216o (2 curves)	1	2- 3+ 7- 37+	2- 3+ -2 7-  0  4  2 -6
Curve Equation t Generators 6216o1 [0,-1,0,-19,28] 2 [-3:7:1] 6216o2 [0,-1,0,-124,-476] 2 [-6:4:1]
6216p (2 curves)	1	2- 3+ 7- 37+	2- 3+ -4 7-  4 -4 -4 -2
Curve Equation t Generators 6216p1 [0,-1,0,140,-284] 2 [4:18:1] 6216p2 [0,-1,0,-600,-1764] 2 [-10:56:1]
6216q (4 curves)	0	2- 3+ 7- 37-	2- 3+  2 7-  4 -6  6  0
Curve Equation t 6216q1 [0,-1,0,-127,568] 4 6216q2 [0,-1,0,-372,-1980] 4 6216q3 [0,-1,0,-5552,-157380] 2 6216q4 [0,-1,0,888,-13572] 2
6216r (2 curves)	1	2- 3- 7+ 37+	2- 3- -2 7+  0  4  2 -6
Curve Equation t Generators 6216r1 [0,1,0,-579,5166] 2 [15:9:1] 6216r2 [0,1,0,-764,1392] 2 [34:-126:1]
6216s (2 curves)	0	2- 3- 7- 37+	2- 3-  2 7-  2 -4 -2  0
Curve Equation t 6216s1 [0,1,0,28,0] 2 6216s2 [0,1,0,-112,-112] 2
6216t (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7-  0 -6 -4  0
Curve Equation t Generators 6216t1 [0,1,0,-28883,1875582] 2 [-149:1701:1] 6216t2 [0,1,0,-17948,3323376] 2 [154:-2058:1]
6216u (2 curves)	1	2- 3- 7- 37-	2- 3-  0 7- -4  2 -4  4
Curve Equation t Generators 6216u1 [0,1,0,-523,-4330] 2 [-13:21:1] 6216u2 [0,1,0,692,-20368] 2 [26:126:1]

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