Cremona's table of elliptic curves

63648 = 2⁵ · 3² · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
63648a (2 curves)	0	2+ 3- 13+ 17+	2+ 3- -2  0  2 13+ 17+  6
Curve Equation t 63648a1 [0,0,0,-9060861,10394900656] 2 63648a2 [0,0,0,-144578316,669118145920] 2
63648b (2 curves)	0	2+ 3- 13+ 17+	2+ 3- -2  0 -2 13+ 17+ -6
Curve Equation t 63648b1 [0,0,0,-9060861,-10394900656] 2 63648b2 [0,0,0,-144578316,-669118145920] 2
63648c (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  0  4 -2 13+ 17-  0
Curve Equation t Generators 63648c1 [0,0,0,-1065,11248] 2 [12:14:1] 63648c2 [0,0,0,-16275,799126] 2 [57:238:1]
63648d (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  0 -4  2 13+ 17-  0
Curve Equation t Generators 63648d1 [0,0,0,-1065,-11248] 2 [-13:20:1] 63648d2 [0,0,0,-16275,-799126] 2 [7058:207315:8]
63648e (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  2  2  0 13+ 17-  4
Curve Equation t Generators 63648e1 [0,0,0,-129,-88] 2 [61:468:1] 63648e2 [0,0,0,-1299,17930] 2 [514:3575:8]
63648f (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  2  2 -2 13+ 17-  2
Curve Equation t Generators 63648f1 [0,0,0,-13029249,-18102026212] 2 [31414515:2756483326:3375] 63648f2 [0,0,0,-13028844,-18103207840] 2 [4500530:849497004:125]
63648g (2 curves)	1	2+ 3- 13+ 17-	2+ 3-  2 -2  0 13+ 17- -4
Curve Equation t Generators 63648g1 [0,0,0,-129,88] 2 [24:104:1] 63648g2 [0,0,0,-1299,-17930] 2 [42:40:1]
63648h (2 curves)	1	2+ 3- 13+ 17-	2+ 3- -2  0  2 13+ 17-  4
Curve Equation t Generators 63648h1 [0,0,0,-381,-2324] 2 [-15:4:1] 63648h2 [0,0,0,789,-13790] 2 [5522:410346:1]
63648i (2 curves)	1	2+ 3- 13+ 17-	2+ 3- -4  2  4 13+ 17- -4
Curve Equation t Generators 63648i1 [0,0,0,-3117,-15460] 2 [76:432:1] 63648i2 [0,0,0,12093,-121930] 2 [61:918:1]
63648j (2 curves)	1	2+ 3- 13- 17+	2+ 3-  0 -4  0 13- 17+  4
Curve Equation t Generators 63648j1 [0,0,0,-165,596] 2 [-5:36:1] 63648j2 [0,0,0,420,3872] 2 [8:88:1]
63648k (4 curves)	1	2+ 3- 13- 17+	2+ 3-  2  0  4 13- 17+ -4
Curve Equation t Generators 63648k1 [0,0,0,-1569,-12040] 4 [994:10465:8] 63648k2 [0,0,0,5316,-89152] 2 [29:299:1] 63648k3 [0,0,0,-12099,503930] 2 [377230:-3291415:2744] 63648k4 [0,0,0,-21459,-1209418] 2 [173210:519869:1000]
63648l (4 curves)	1	2+ 3- 13- 17+	2+ 3-  2  0 -4 13- 17+  4
Curve Equation t Generators 63648l1 [0,0,0,-1569,12040] 4 [683:17820:1] 63648l2 [0,0,0,5316,89152] 2 [36:572:1] 63648l3 [0,0,0,-12099,-503930] 2 [5490:141845:8] 63648l4 [0,0,0,-21459,1209418] 2 [87210:35519:1000]
63648m (2 curves)	1	2+ 3- 13- 17+	2+ 3- -4  0 -4 13- 17+  4
Curve Equation t Generators 63648m1 [0,0,0,-58917,-5504380] 2 [2057:92612:1] 63648m2 [0,0,0,-58332,-5619040] 2 [4519112:-203473496:2197]
63648n (2 curves)	0	2+ 3- 13- 17-	2+ 3-  4  4  0 13- 17-  6
Curve Equation t 63648n1 [0,0,0,-1353,19060] 2 63648n2 [0,0,0,-588,40480] 2
63648o (2 curves)	1	2- 3- 13+ 17+	2- 3-  2  4 -2 13+ 17+ -2
Curve Equation t Generators 63648o1 [0,0,0,-309,-848] 2 [-4:18:1] 63648o2 [0,0,0,-2604,50560] 2 [240:3640:1]
63648p (2 curves)	1	2- 3- 13+ 17+	2- 3-  2 -4  2 13+ 17+  2
Curve Equation t Generators 63648p1 [0,0,0,-309,848] 2 [-11:54:1] 63648p2 [0,0,0,-2604,-50560] 2 [-28:20:1]
63648q (2 curves)	0	2- 3- 13+ 17-	2- 3-  2 -2  2 13+ 17- -2
Curve Equation t 63648q1 [0,0,0,-13029249,18102026212] 2 63648q2 [0,0,0,-13028844,18103207840] 2
63648r (2 curves)	2	2- 3- 13+ 17-	2- 3- -2  0 -2 13+ 17- -4
Curve Equation t Generators 63648r1 [0,0,0,-381,2324] 2 [-19:52:1]&[-11:72:1] 63648r2 [0,0,0,789,13790] 2 [13:-162:1]&[2:124:1]
63648s (2 curves)	0	2- 3- 13+ 17-	2- 3- -4 -2 -4 13+ 17-  4
Curve Equation t 63648s1 [0,0,0,-3117,15460] 2 63648s2 [0,0,0,12093,121930] 2
63648t (2 curves)	0	2- 3- 13- 17+	2- 3-  0  4  0 13- 17+ -4
Curve Equation t 63648t1 [0,0,0,-165,-596] 2 63648t2 [0,0,0,420,-3872] 2
63648u (2 curves)	0	2- 3- 13- 17+	2- 3-  4  2 -4 13- 17+  2
Curve Equation t 63648u1 [0,0,0,-49773,-1954600] 2 63648u2 [0,0,0,-400908,96363200] 2
63648v (2 curves)	0	2- 3- 13- 17+	2- 3-  4 -2  4 13- 17+ -2
Curve Equation t 63648v1 [0,0,0,-49773,1954600] 2 63648v2 [0,0,0,-400908,-96363200] 2
63648w (2 curves)	0	2- 3- 13- 17+	2- 3- -4  0  4 13- 17+ -4
Curve Equation t 63648w1 [0,0,0,-58917,5504380] 2 63648w2 [0,0,0,-58332,5619040] 2
63648x (2 curves)	1	2- 3- 13- 17-	2- 3-  4 -4  0 13- 17- -6
Curve Equation t Generators 63648x1 [0,0,0,-1353,-19060] 2 [55:270:1] 63648x2 [0,0,0,-588,-40480] 2 [365:6955:1]

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