Cremona's table of elliptic curves

55696 = 2⁴ · 59²

Class	r	Atkin-Lehner	Eigenvalues
55696a (1 curve)	1	2+ 59+	2+ -1  3  1  2  2  2 -1
Curve Equation t Generators 55696a1 [0,-1,0,-136919,-26433038] 1 [6836633850929153735658:151277998074493090411781:9385625830135078152]
55696b (1 curve)	1	2+ 59+	2+ -1  3  1 -2 -2  2 -1
Curve Equation t Generators 55696b1 [0,-1,0,-39,142] 1 [42:59:8]
55696c (1 curve)	0	2+ 59-	2+  0  2  3  2  6 -3 -2
Curve Equation t 55696c1 [0,0,0,-59,-118] 1
55696d (1 curve)	0	2+ 59-	2+  0  2  3 -2 -6 -3 -2
Curve Equation t 55696d1 [0,0,0,-205379,24234722] 1
55696e (1 curve)	2	2+ 59-	2+  1 -1 -1  0  2 -6 -3
Curve Equation t Generators 55696e1 [0,1,0,12764,1084396] 1 [570:13924:1]&[1455:55696:1]
55696f (1 curve)	0	2+ 59-	2+  1 -1 -1  4 -2  2 -3
Curve Equation t 55696f1 [0,1,0,-961916,-363445924] 1
55696g (1 curve)	2	2+ 59-	2+ -2 -1 -4  0  5  6 -6
Curve Equation t Generators 55696g1 [0,1,0,-216,1156] 1 [8:-2:1]&[0:34:1]
55696h (1 curve)	2	2+ 59-	2+ -2 -1 -4  0 -5  6 -6
Curve Equation t Generators 55696h1 [0,1,0,-753056,-252471644] 1 [1160:20886:1]&[158107:62866816:1]
55696i (1 curve)	0	2+ 59-	2+ -2  2 -1  1  1 -1  0
Curve Equation t 55696i1 [0,1,0,26688,3005908] 1
55696j (1 curve)	0	2+ 59-	2+  3 -1 -3 -4 -6 -6  7
Curve Equation t 55696j1 [0,0,0,6962,205379] 1
55696k (1 curve)	0	2+ 59-	2+ -3 -3 -3  6  6 -2  1
Curve Equation t 55696k1 [0,0,0,-66139,-6982886] 1
55696l (1 curve)	0	2- 59+	2-  1  3 -1  6  6 -6 -7
Curve Equation t 55696l1 [0,1,0,9105136,-14983896556] 1
55696m (1 curve)	2	2- 59+	2-  1  3 -1 -6 -6 -6 -7
Curve Equation t Generators 55696m1 [0,1,0,2616,73844] 1 [-20:118:1]&[670:17408:1]
55696n (1 curve)	0	2- 59+	2- -2  0 -1  3  3  3  2
Curve Equation t 55696n1 [0,1,0,-2396088,-1642476716] 1
55696o (1 curve)	2	2- 59+	2- -2  0 -1 -3 -3  3  2
Curve Equation t Generators 55696o1 [0,1,0,-688,7764] 1 [-30:48:1]&[-20:118:1]
55696p (2 curves)	1	2- 59-	2-  1  1 -3  2  6 -2  5
Curve Equation t Generators 55696p1 [0,1,0,-1393560,651530132] 1 [1462:41728:1] 55696p2 [0,1,0,6403880,-33236144108] 1 [3545448192150:-165239592728144:1076890625]
55696q (1 curve)	1	2- 59-	2-  1 -1  3 -2  0  2  5
Curve Equation t Generators 55696q1 [0,1,0,-4641,325538] 1 [12318:107911:216]
55696r (1 curve)	1	2- 59-	2-  1 -3  1 -2  2 -2 -3
Curve Equation t Generators 55696r1 [0,1,0,26688,9578036] 1 [4062:111392:27]
55696s (2 curves)	1	2- 59-	2- -1  3  1  6  4 -6 -5
Curve Equation t Generators 55696s1 [0,-1,0,-32489,2285212] 1 [-136:2042:1] 55696s2 [0,-1,0,106751,11823152] 1 [112280740:35875340534:9938375]
55696t (2 curves)	1	2- 59-	2-  2  0  1  0  4 -3  4
Curve Equation t Generators 55696t1 [0,-1,0,-688,7104] 1 [-24:96:1] 55696t2 [0,-1,0,-5408,-147712] 1 [-57904:76800:1331]
55696u (2 curves)	1	2- 59-	2-  2  0  1  0 -4 -3  4
Curve Equation t Generators 55696u1 [0,-1,0,-2396088,-1411098256] 1 [-88537485585295028188346:265734964581516339955614:93574128796095151079] 55696u2 [0,-1,0,-18826408,30713463408] 1 [-6027303894:171301896702:1295029]
55696v (1 curve)	1	2- 59-	2- -2  1  0  2  3 -2  2
Curve Equation t Generators 55696v1 [0,1,0,20,-24] 1 [10:17:8]
55696w (1 curve)	1	2- 59-	2- -2  1  0 -2 -3 -2  2
Curve Equation t Generators 55696w1 [0,1,0,68460,6305896] 1 [39066522:1871183503:551368]
55696x (1 curve)	1	2- 59-	2- -2  2  3  1 -3 -1  8
Curve Equation t Generators 55696x1 [0,1,0,3089968,-2827464812] 1 [40008026:522743808:50653]
55696y (1 curve)	1	2- 59-	2- -2 -2  3 -1  3  7 -4
Curve Equation t Generators 55696y1 [0,1,0,-223944,-41439500] 1 [20807:3000622:1]
55696z (1 curve)	1	2- 59-	2- -2  3  4  4 -7 -2 -6
Curve Equation t Generators 55696z1 [0,1,0,256,372148] 1 [-182:4767:8]
55696ba (1 curve)	1	2- 59-	2- -2  3  4 -4  7 -2 -6
Curve Equation t Generators 55696ba1 [0,1,0,889976,-76413576972] 1 [425272948070875209100538147388341564834261756538262:22706768243361665532851694792086701485847653807540383:79466043266832844396991199580896521744885461112]
55696bb (1 curve)	1	2- 59-	2- -2 -4 -3  4  0  5  8
Curve Equation t Generators 55696bb1 [0,1,0,-4039120,263440404] 1 [-1494:54456:1]
55696bc (1 curve)	1	2- 59-	2- -2 -4 -3 -4  0  5  8
Curve Equation t Generators 55696bc1 [0,1,0,-1160,-1676] 1 [-20:118:1]

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

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