Cremona's table of elliptic curves

13632 = 2⁶ · 3 · 71

Class	r	Atkin-Lehner	Eigenvalues
13632a (4 curves)	1	2+ 3+ 71+	2+ 3+  2  0  0  6  2 -4
Curve Equation t Generators 13632a1 [0,-1,0,-337,4945] 2 [-15:80:1] 13632a2 [0,-1,0,-6817,218785] 4 [147:1540:1] 13632a3 [0,-1,0,-8257,121153] 2 [1:336:1] 13632a4 [0,-1,0,-109057,13898497] 4 [308121:1334060:1331]
13632b (2 curves)	1	2+ 3+ 71+	2+ 3+  2  2  0  2 -4  0
Curve Equation t Generators 13632b1 [0,-1,0,-2892,60822] 2 [5155:12496:125] 13632b2 [0,-1,0,-2537,75945] 2 [-11:320:1]
13632c (2 curves)	1	2+ 3+ 71+	2+ 3+ -2  2  0  2  0  0
Curve Equation t Generators 13632c1 [0,-1,0,31,609] 2 [-1:24:1] 13632c2 [0,-1,0,-929,10785] 2 [31:104:1]
13632d (1 curve)	1	2+ 3+ 71+	2+ 3+ -3  1  3  2  6 -1
Curve Equation t Generators 13632d1 [0,-1,0,-97,481] 1 [9:16:1]
13632e (2 curves)	1	2+ 3+ 71+	2+ 3+ -3 -1 -3 -2 -6 -5
Curve Equation t Generators 13632e1 [0,-1,0,-1472417,688413729] 1 [697:512:1] 13632e2 [0,-1,0,938143,2638090209] 1 [592879:33292288:343]
13632f (1 curve)	1	2+ 3+ 71+	2+ 3+ -3  3  1 -2  2 -5
Curve Equation t Generators 13632f1 [0,-1,0,63,-351] 1 [5:8:1]
13632g (2 curves)	0	2+ 3+ 71-	2+ 3+ -1  3  3  6 -2 -5
Curve Equation t 13632g1 [0,-1,0,-1281,25857] 1 13632g2 [0,-1,0,-14721,-2648703] 1
13632h (2 curves)	0	2+ 3- 71+	2+ 3-  2  2  2  0  0  4
Curve Equation t 13632h1 [0,1,0,-18337,966335] 2 13632h2 [0,1,0,-294817,61515455] 2
13632i (2 curves)	0	2+ 3- 71+	2+ 3-  2 -2 -2 -4 -4 -4
Curve Equation t 13632i1 [0,1,0,63,-225] 2 13632i2 [0,1,0,-417,-2625] 2
13632j (2 curves)	1	2+ 3- 71-	2+ 3-  2 -2  0  2 -4  0
Curve Equation t Generators 13632j1 [0,1,0,-2892,-60822] 2 [69:270:1] 13632j2 [0,1,0,-2537,-75945] 2 [115:1080:1]
13632k (2 curves)	1	2+ 3- 71-	2+ 3- -2  2  4 -2  4  0
Curve Equation t Generators 13632k1 [0,1,0,-49,1391] 2 [5:36:1] 13632k2 [0,1,0,-2209,38975] 2 [-46:213:1]
13632l (1 curve)	1	2+ 3- 71-	2+ 3- -3 -3 -1 -2  2  5
Curve Equation t Generators 13632l1 [0,1,0,63,351] 1 [3:24:1]
13632m (2 curves)	2	2- 3+ 71+	2- 3+ -2 -2 -4 -2  4  0
Curve Equation t Generators 13632m1 [0,-1,0,-49,-1391] 2 [15:32:1]&[21:80:1] 13632m2 [0,-1,0,-2209,-38975] 2 [-27:16:1]&[75:460:1]
13632n (2 curves)	0	2- 3+ 71+	2- 3+ -2  4  6  0  2  4
Curve Equation t 13632n1 [0,-1,0,71,-71] 2 13632n2 [0,-1,0,-289,-287] 2
13632o (2 curves)	1	2- 3+ 71-	2- 3+  2  2  2 -4 -4  4
Curve Equation t Generators 13632o1 [0,-1,0,63,225] 2 [0:15:1] 13632o2 [0,-1,0,-417,2625] 2 [32:145:1]
13632p (2 curves)	1	2- 3+ 71-	2- 3+  2 -2 -2  0  0 -4
Curve Equation t Generators 13632p1 [0,-1,0,-18337,-966335] 2 [1910840:646515:12167] 13632p2 [0,-1,0,-294817,-61515455] 2 [13183541304:-13723222895245:12167]
13632q (2 curves)	1	2- 3- 71+	2- 3- -1 -3 -3  6 -2  5
Curve Equation t Generators 13632q1 [0,1,0,-1281,-25857] 1 [63:384:1] 13632q2 [0,1,0,-14721,2648703] 1 [-1:1632:1]
13632r (4 curves)	0	2- 3- 71-	2- 3-  2  0  0  6  2  4
Curve Equation t 13632r1 [0,1,0,-337,-4945] 2 13632r2 [0,1,0,-6817,-218785] 4 13632r3 [0,1,0,-109057,-13898497] 2 13632r4 [0,1,0,-8257,-121153] 4
13632s (2 curves)	0	2- 3- 71-	2- 3- -2 -2  0  2  0  0
Curve Equation t 13632s1 [0,1,0,31,-609] 2 13632s2 [0,1,0,-929,-10785] 2
13632t (2 curves)	2	2- 3- 71-	2- 3- -2 -4 -6  0  2 -4
Curve Equation t Generators 13632t1 [0,1,0,71,71] 2 [1:12:1]&[2:15:1] 13632t2 [0,1,0,-289,287] 2 [-17:24:1]&[-1:24:1]
13632u (2 curves)	0	2- 3- 71-	2- 3- -3  1  3 -2 -6  5
Curve Equation t 13632u1 [0,1,0,-1472417,-688413729] 1 13632u2 [0,1,0,938143,-2638090209] 1
13632v (1 curve)	0	2- 3- 71-	2- 3- -3 -1 -3  2  6  1
Curve Equation t 13632v1 [0,1,0,-97,-481] 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