Cremona's table of elliptic curves

36846 = 2 · 3² · 23 · 89

Class	r	Atkin-Lehner	Eigenvalues
36846a (1 curve)	1	2+ 3+ 23+ 89+	2+ 3+ -2 -2 -1  5 -7  1
Curve Equation t Generators 36846a1 [1,-1,0,-393,3221] 1 [13:7:1]
36846b (1 curve)	0	2+ 3+ 23+ 89-	2+ 3+  4 -4  5  5  6 -1
Curve Equation t 36846b1 [1,-1,0,15,-27] 1
36846c (1 curve)	0	2+ 3+ 23- 89+	2+ 3+  0  2  0  1 -1  1
Curve Equation t 36846c1 [1,-1,0,-147,-2123] 1
36846d (1 curve)	0	2+ 3+ 23- 89+	2+ 3+  4  0  3  6  3  4
Curve Equation t 36846d1 [1,-1,0,0,128] 1
36846e (2 curves)	1	2+ 3+ 23- 89-	2+ 3+  0 -4 -3  2 -3 -4
Curve Equation t Generators 36846e1 [1,-1,0,-3072,1050624] 3 [-882:2043:8] 36846e2 [1,-1,0,27633,-28256275] 1 [283510:1376671:1000]
36846f (1 curve)	0	2+ 3- 23+ 89+	2+ 3-  1 -4  6 -3  6  5
Curve Equation t 36846f1 [1,-1,0,-3429,44437] 1
36846g (1 curve)	0	2+ 3- 23+ 89+	2+ 3- -4  4 -5  6  5 -4
Curve Equation t 36846g1 [1,-1,0,-785124,267989584] 1
36846h (2 curves)	1	2+ 3- 23+ 89-	2+ 3-  3  2  0 -1 -6 -7
Curve Equation t Generators 36846h1 [1,-1,0,-468,-648] 1 [27:63:1] 36846h2 [1,-1,0,-23238,1369278] 3 [1122510:36704469:1000]
36846i (2 curves)	1	2+ 3- 23- 89+	2+ 3-  0  0 -2  0  2 -4
Curve Equation t Generators 36846i1 [1,-1,0,288,0] 2 [49:336:1] 36846i2 [1,-1,0,-1152,864] 2 [-5:83:1]
36846j (1 curve)	1	2+ 3- 23- 89+	2+ 3-  0  0  4  3 -1  5
Curve Equation t Generators 36846j1 [1,-1,0,-4347,112023] 1 [-63:396:1]
36846k (4 curves)	1	2+ 3- 23- 89+	2+ 3- -2  0  0 -6  6  4
Curve Equation t Generators 36846k1 [1,-1,0,-48768,-4243456] 2 [825877416320:-7883566952189:2791309312] 36846k2 [1,-1,0,-786048,-268042240] 4 [12601138:221593543:10648] 36846k3 [1,-1,0,-791808,-263910016] 2 [-3578:8045:8] 36846k4 [1,-1,0,-12576768,-17164144000] 2 [835696314002:-103175995375081:52313624]
36846l (1 curve)	1	2+ 3- 23- 89+	2+ 3-  3 -4 -6 -5  2  1
Curve Equation t Generators 36846l1 [1,-1,0,-3258,-70628] 1 [-33:28:1]
36846m (1 curve)	0	2+ 3- 23- 89-	2+ 3-  2 -2 -5  5 -5 -5
Curve Equation t 36846m1 [1,-1,0,-3244941,2252713189] 1
36846n (1 curve)	0	2+ 3- 23- 89-	2+ 3- -4  4  4  5  1  1
Curve Equation t 36846n1 [1,-1,0,171,-131] 1
36846o (2 curves)	0	2- 3+ 23+ 89+	2- 3+  0 -4  3  2  3 -4
Curve Equation t 36846o1 [1,-1,1,3070,1045505] 3 36846o2 [1,-1,1,-27650,-28339199] 1
36846p (1 curve)	1	2- 3+ 23+ 89-	2- 3+  0  2  0  1  1  1
Curve Equation t Generators 36846p1 [1,-1,1,-1325,58645] 1 [31:200:1]
36846q (1 curve)	1	2- 3+ 23+ 89-	2- 3+ -4  0 -3  6 -3  4
Curve Equation t Generators 36846q1 [1,-1,1,-2,-3455] 1 [25:-121:1]
36846r (1 curve)	1	2- 3+ 23- 89+	2- 3+ -4 -4 -5  5 -6 -1
Curve Equation t Generators 36846r1 [1,-1,1,133,595] 1 [1:26:1]
36846s (1 curve)	0	2- 3+ 23- 89-	2- 3+  2 -2  1  5  7  1
Curve Equation t 36846s1 [1,-1,1,-44,-105] 1
36846t (1 curve)	0	2- 3- 23+ 89-	2- 3-  1  2  2  5  0 -1
Curve Equation t 36846t1 [1,-1,1,-4768052,3641585303] 1
36846u (1 curve)	0	2- 3- 23+ 89-	2- 3-  1 -2  2  1  4 -5
Curve Equation t 36846u1 [1,-1,1,-77,87] 1
36846v (1 curve)	0	2- 3- 23+ 89-	2- 3-  2  5  1 -2  2 -2
Curve Equation t 36846v1 [1,-1,1,-385139,-128606687] 1
36846w (1 curve)	0	2- 3- 23+ 89-	2- 3- -2  5 -1  2 -6  2
Curve Equation t 36846w1 [1,-1,1,-671,-6649] 1
36846x (1 curve)	2	2- 3- 23+ 89-	2- 3- -3  0 -4  3 -8 -7
Curve Equation t Generators 36846x1 [1,-1,1,-1139,15059] 1 [21:-2:1]&[3:106:1]
36846y (1 curve)	0	2- 3- 23- 89+	2- 3-  2 -2  1  3  5  5
Curve Equation t 36846y1 [1,-1,1,1601446,-26846487399] 1
36846z (1 curve)	0	2- 3- 23- 89+	2- 3-  2  4  1  3  2 -1
Curve Equation t 36846z1 [1,-1,1,-110264,-14073285] 1
36846ba (1 curve)	1	2- 3- 23- 89-	2- 3- -1  4  4 -7  4  1
Curve Equation t Generators 36846ba1 [1,-1,1,-2138,38553] 1 [29:3:1]

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