Cremona's table of elliptic curves

69575 = 5² · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
69575a (1 curve)	1	5+ 11+ 23+	2  3 5+ -3 11+  4  1 -4
Curve Equation t Generators 69575a1 [0,0,1,-55,151] 1 [726:343:216]
69575b (1 curve)	1	5+ 11+ 23+	-2  3 5+  3 11+ -4 -1  4
Curve Equation t Generators 69575b1 [0,0,1,-6655,-201314] 1 [-370986:287524:9261]
69575c (1 curve)	2	5+ 11- 23+	0  0 5+  0 11-  4  7 -8
Curve Equation t Generators 69575c1 [0,0,1,-6050,185281] 1 [-110:4121:8]&[-11:500:1]
69575d (1 curve)	0	5+ 11- 23+	0  0 5+  0 11- -4 -7  8
Curve Equation t 69575d1 [0,0,1,-732050,-246609344] 1
69575e (1 curve)	0	5+ 11- 23+	1 -1 5+  0 11- -6  6 -6
Curve Equation t 69575e1 [1,1,0,-1575,-26000] 1
69575f (1 curve)	0	5+ 11- 23+	-1  0 5+  1 11-  1  0  5
Curve Equation t 69575f1 [1,-1,1,-265,-558] 1
69575g (1 curve)	0	5+ 11- 23+	-1 -1 5+  0 11-  6 -6  6
Curve Equation t 69575g1 [1,1,1,-190638,33652906] 1
69575h (1 curve)	0	5+ 11- 23+	2  0 5+  1 11- -2  3  2
Curve Equation t 69575h1 [0,0,1,21175,1788531] 1
69575i (1 curve)	0	5+ 11- 23+	-2  2 5+  3 11-  0 -3  6
Curve Equation t 69575i1 [0,-1,1,-1008,944668] 1
69575j (2 curves)	1	5+ 11- 23-	0 -1 5+ -1 11-  2  3  4
Curve Equation t Generators 69575j1 [0,-1,1,-2823,-13047] 1 [-342:1327:8] 69575j2 [0,-1,1,-135923,19333038] 1 [1594:-2787:8]
69575k (2 curves)	1	5+ 11- 23-	0  2 5+  1 11-  4 -3  2
Curve Equation t Generators 69575k1 [0,-1,1,-155283,23623093] 1 [-403:4537:1] 69575k2 [0,-1,1,177467,104647718] 1 [-288:5437:1]
69575l (2 curves)	1	5+ 11- 23-	0  2 5+ -1 11- -4  3 -2
Curve Equation t Generators 69575l1 [0,-1,1,-1283,-17282] 1 [746:6521:8] 69575l2 [0,-1,1,1467,-79157] 1 [826:8621:8]
69575m (1 curve)	1	5+ 11- 23-	1  1 5+  1 11- -2  2  2
Curve Equation t Generators 69575m1 [1,0,1,-174001,28286773] 1 [131:2717:1]
69575n (1 curve)	1	5+ 11- 23-	1  1 5+ -5 11-  4 -4 -4
Curve Equation t Generators 69575n1 [1,0,1,-1051251,-415510977] 1 [12246:310123:8]
69575o (1 curve)	1	5+ 11- 23-	-1  1 5+ -1 11-  2 -2 -2
Curve Equation t Generators 69575o1 [1,0,0,-1438,-21383] 1 [57:259:1]
69575p (1 curve)	1	5+ 11- 23-	-1  1 5+  5 11- -4  4  4
Curve Equation t Generators 69575p1 [1,0,0,-127201313,552917908742] 1 [-6058:1052404:1]
69575q (1 curve)	1	5+ 11- 23-	-1 -2 5+ -4 11- -4  1  4
Curve Equation t Generators 69575q1 [1,0,0,-668,8317] 1 [21:50:1]
69575r (2 curves)	1	5+ 11- 23-	2 -1 5+ -3 11-  6 -3  0
Curve Equation t Generators 69575r1 [0,-1,1,-356748,-81851397] 1 [-173688:63753:512] 69575r2 [0,-1,1,-8343958,9271755943] 1 [2733529080:9224474023:1728000]
69575s (1 curve)	1	5+ 11- 23-	2  2 5+  0 11-  6  3  0
Curve Equation t Generators 69575s1 [0,-1,1,92,593] 1 [-6:179:8]
69575t (1 curve)	1	5+ 11- 23-	-2  2 5+  0 11- -6 -3  0
Curve Equation t Generators 69575t1 [0,-1,1,11092,-834032] 1 [82:787:1]
69575u (1 curve)	1	5- 11+ 23-	2 -3 5- -3 11+  4  1  4
Curve Equation t Generators 69575u1 [0,0,1,-166375,-25164219] 1 [-15004:62525:64]
69575v (1 curve)	1	5- 11+ 23-	-2 -3 5-  3 11+ -4 -1 -4
Curve Equation t Generators 69575v1 [0,0,1,-1375,18906] 1 [0:137:1]
69575w (2 curves)	1	5- 11- 23+	0  1 5-  1 11- -2 -3  4
Curve Equation t Generators 69575w1 [0,1,1,-70583,-1772006] 1 [-834:16624:27] 69575w2 [0,1,1,-3398083,2409833619] 1 [28569:6823:27]
69575x (1 curve)	1	5- 11- 23+	1  2 5-  4 11-  4 -1  4
Curve Equation t Generators 69575x1 [1,1,0,-16700,1039625] 1 [31896:442279:729]
69575y (2 curves)	1	5- 11- 23+	-2  1 5-  3 11- -6  3  0
Curve Equation t Generators 69575y1 [0,1,1,-333758,74040544] 1 [62:7320:1] 69575y2 [0,1,1,-8918708,-10249262006] 1 [-1753:1149:1]
69575z (1 curve)	1	5- 11- 23+	-2  2 5- -1 11- -2  5 -8
Curve Equation t Generators 69575z1 [0,-1,1,-55458,-5026682] 1 [219459:19775924:27]
69575ba (1 curve)	0	5- 11- 23-	1  0 5- -1 11- -1  0  5
Curve Equation t 69575ba1 [1,-1,0,-6617,-76334] 1
69575bb (1 curve)	0	5- 11- 23-	1  1 5-  0 11- -6  6  6
Curve Equation t 69575bb1 [1,0,1,-7626,269223] 1
69575bc (1 curve)	0	5- 11- 23-	-1  1 5-  0 11-  6 -6 -6
Curve Equation t 69575bc1 [1,0,0,-63,-208] 1
69575bd (1 curve)	0	5- 11- 23-	2 -2 5-  1 11-  2 -5 -8
Curve Equation t 69575bd1 [0,1,1,-2218,-41101] 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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