Cremona's table of elliptic curves

28864 = 2⁶ · 11 · 41

Class	r	Atkin-Lehner	Eigenvalues
28864a (1 curve)	1	2+ 11+ 41+	2+  0  1 -5 11+ -2  5  1
Curve Equation t Generators 28864a1 [0,0,0,28,-32] 1 [4:12:1]
28864b (2 curves)	1	2+ 11+ 41+	2+  2  3 -1 11+ -2  3 -5
Curve Equation t Generators 28864b1 [0,-1,0,11,-363] 1 [723:3664:27] 28864b2 [0,-1,0,-3509,-78859] 1 [840264765:4982809168:9663597]
28864c (1 curve)	1	2+ 11+ 41+	2+ -3 -1  4 11+ -2 -2 -4
Curve Equation t Generators 28864c1 [0,0,0,-73648,-7692896] 1 [983587:24594301:1331]
28864d (1 curve)	0	2+ 11+ 41-	2+  2 -1  3 11+ -6 -3 -5
Curve Equation t 28864d1 [0,-1,0,-21,-43] 1
28864e (1 curve)	0	2+ 11- 41+	2+  0  1  5 11- -2  5 -1
Curve Equation t 28864e1 [0,0,0,28,32] 1
28864f (1 curve)	2	2+ 11- 41+	2+  0 -1  1 11- -2 -5 -7
Curve Equation t Generators 28864f1 [0,0,0,-1688,26696] 1 [25:-11:1]&[10:104:1]
28864g (1 curve)	0	2+ 11- 41+	2+ -1  3  4 11-  6  2  8
Curve Equation t 28864g1 [0,-1,0,11,47] 1
28864h (1 curve)	0	2+ 11- 41+	2+  2 -3  1 11-  6 -7 -1
Curve Equation t 28864h1 [0,-1,0,-152417,39736289] 1
28864i (2 curves)	0	2+ 11- 41+	2+  2 -3  5 11- -2 -3 -5
Curve Equation t 28864i1 [0,-1,0,-4097,102401] 1 28864i2 [0,-1,0,4863,451841] 1
28864j (1 curve)	0	2+ 11- 41+	2+ -2  1  1 11-  6 -3 -5
Curve Equation t 28864j1 [0,1,0,-65,-353] 1
28864k (1 curve)	1	2+ 11- 41-	2+  0 -1 -3 11-  2  1 -3
Curve Equation t Generators 28864k1 [0,0,0,-188,-15856] 1 [64:484:1]
28864l (1 curve)	0	2- 11+ 41+	2-  0 -1 -1 11+ -2 -5  7
Curve Equation t 28864l1 [0,0,0,-1688,-26696] 1
28864m (1 curve)	0	2- 11+ 41+	2-  1  3 -4 11+  6  2 -8
Curve Equation t 28864m1 [0,1,0,11,-47] 1
28864n (1 curve)	0	2- 11+ 41+	2- -1 -1  0 11+ -2  0  2
Curve Equation t 28864n1 [0,-1,0,-320691,-76529651] 1
28864o (1 curve)	0	2- 11+ 41+	2-  2  1 -1 11+  6 -3  5
Curve Equation t 28864o1 [0,-1,0,-65,353] 1
28864p (1 curve)	0	2- 11+ 41+	2- -2 -3 -1 11+  6 -7  1
Curve Equation t 28864p1 [0,1,0,-152417,-39736289] 1
28864q (2 curves)	0	2- 11+ 41+	2- -2 -3 -5 11+ -2 -3  5
Curve Equation t 28864q1 [0,1,0,-4097,-102401] 1 28864q2 [0,1,0,4863,-451841] 1
28864r (1 curve)	1	2- 11+ 41-	2-  0 -1  3 11+  2  1  3
Curve Equation t Generators 28864r1 [0,0,0,-188,15856] 1 [-12:128:1]
28864s (1 curve)	1	2- 11+ 41-	2- -1 -1 -4 11+ -6  0  2
Curve Equation t Generators 28864s1 [0,-1,0,33989,2671109] 1 [2460:68921:27]
28864t (1 curve)	1	2- 11- 41+	2-  1 -1  0 11- -2  0 -2
Curve Equation t Generators 28864t1 [0,1,0,-320691,76529651] 1 [1686:203401:27]
28864u (2 curves)	1	2- 11- 41+	2- -2  3  1 11- -2  3  5
Curve Equation t Generators 28864u1 [0,1,0,11,363] 1 [11:44:1] 28864u2 [0,1,0,-3509,78859] 1 [35:12:1]
28864v (1 curve)	1	2- 11- 41+	2-  3 -1 -4 11- -2 -2  4
Curve Equation t Generators 28864v1 [0,0,0,-73648,7692896] 1 [4251:451:27]
28864w (1 curve)	0	2- 11- 41-	2-  1 -1  4 11- -6  0 -2
Curve Equation t 28864w1 [0,1,0,33989,-2671109] 1
28864x (1 curve)	2	2- 11- 41-	2- -2 -1 -3 11- -6 -3  5
Curve Equation t Generators 28864x1 [0,1,0,-21,43] 1 [-2:9:1]&[-1:8:1]

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

Part of Computational Number Theory
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