Cremona's table of elliptic curves

53680 = 2⁴ · 5 · 11 · 61

Class	r	Atkin-Lehner	Eigenvalues
53680a (2 curves)	1	2+ 5+ 11+ 61+	2+  0 5+  0 11+ -4  6 -4
Curve Equation t Generators 53680a1 [0,0,0,-818,5383] 2 [-142:957:8] 53680a2 [0,0,0,2537,38262] 2 [2022:54143:216]
53680b (1 curve)	1	2+ 5+ 11+ 61+	2+  1 5+  1 11+  6 -3  8
Curve Equation t Generators 53680b1 [0,1,0,-76,-401] 1 [543:2195:27]
53680c (1 curve)	1	2+ 5+ 11+ 61+	2+ -1 5+  0 11+  5 -1 -8
Curve Equation t Generators 53680c1 [0,-1,0,-94701376,-85534798624] 1 [-2375906417364:236401367187500:458314011]
53680d (1 curve)	1	2+ 5+ 11+ 61+	2+ -1 5+ -2 11+ -1  1  6
Curve Equation t Generators 53680d1 [0,-1,0,-1936,33440] 1 [28:-20:1]
53680e (1 curve)	1	2+ 5+ 11+ 61+	2+  2 5+  0 11+  5 -4 -2
Curve Equation t Generators 53680e1 [0,-1,0,-1,45] 1 [36:213:1]
53680f (1 curve)	2	2+ 5+ 11- 61+	2+  1 5+ -1 11- -4 -5  2
Curve Equation t Generators 53680f1 [0,1,0,-16,-41] 1 [9:25:1]&[57:433:1]
53680g (1 curve)	0	2+ 5- 11+ 61+	2+  1 5-  1 11+  6 -3 -4
Curve Equation t 53680g1 [0,1,0,80,43] 1
53680h (1 curve)	2	2+ 5- 11+ 61+	2+ -2 5- -2 11+ -3 -3 -5
Curve Equation t Generators 53680h1 [0,1,0,80,2100] 1 [-10:20:1]&[20:110:1]
53680i (1 curve)	1	2+ 5- 11+ 61-	2+  1 5-  3 11+ -2  3 -2
Curve Equation t Generators 53680i1 [0,1,0,0,-25] 1 [75:55:27]
53680j (1 curve)	1	2+ 5- 11+ 61-	2+ -1 5-  5 11+ -2  1 -2
Curve Equation t Generators 53680j1 [0,-1,0,-100,-373] 1 [19:65:1]
53680k (2 curves)	1	2+ 5- 11- 61+	2+  0 5- -2 11-  2  0 -4
Curve Equation t Generators 53680k1 [0,0,0,-3502,60771] 2 [147:1650:1] 53680k2 [0,0,0,-19127,-967354] 2 [-83:220:1]
53680l (1 curve)	1	2+ 5- 11- 61+	2+ -3 5-  1 11-  6  1 -2
Curve Equation t Generators 53680l1 [0,0,0,-14347,-661439] 1 [232:2915:1]
53680m (1 curve)	0	2- 5+ 11+ 61+	2- -2 5+ -4 11+ -5  4  2
Curve Equation t 53680m1 [0,1,0,-4581,-120881] 1
53680n (1 curve)	0	2- 5+ 11+ 61+	2-  3 5+  1 11+  0 -1  2
Curve Equation t 53680n1 [0,0,0,-7393,439367] 1
53680o (2 curves)	1	2- 5+ 11+ 61-	2-  0 5+  4 11+ -4 -2  0
Curve Equation t Generators 53680o1 [0,0,0,-2443,61242] 2 [197:2688:1] 53680o2 [0,0,0,-42443,3365242] 2 [117:32:1]
53680p (1 curve)	1	2- 5+ 11+ 61-	2- -1 5+  0 11+ -1 -5 -8
Curve Equation t Generators 53680p1 [0,-1,0,-25648656,50005675456] 1 [78942:1250:27]
53680q (1 curve)	1	2- 5+ 11+ 61-	2- -1 5+ -3 11+  2  7 -8
Curve Equation t Generators 53680q1 [0,-1,0,14,11] 1 [1:5:1]
53680r (2 curves)	1	2- 5+ 11+ 61-	2-  2 5+  4 11+ -1  0 -2
Curve Equation t Generators 53680r1 [0,-1,0,-181,-2115] 1 [667413036:11467978407:2248091] 53680r2 [0,-1,0,1579,48221] 1 [2668:137799:1]
53680s (2 curves)	1	2- 5+ 11+ 61-	2- -2 5+ -4 11+  2  0  0
Curve Equation t Generators 53680s1 [0,1,0,-181,834] 2 [2:22:1] 53680s2 [0,1,0,124,3640] 2 [7:70:1]
53680t (1 curve)	1	2- 5+ 11+ 61-	2-  3 5+  1 11+  2 -5  0
Curve Equation t Generators 53680t1 [0,0,0,-5186773,-4546686097] 1 [221754046947428896788146007566290768682160018234292816971995868880467921066:644650860979317742584771561922126969898062880217458408705456694776716796875:84204058561483007710305388584554319019071382398177657003610630455626679]
53680u (2 curves)	1	2- 5+ 11- 61+	2-  0 5+  4 11-  0  2 -4
Curve Equation t Generators 53680u1 [0,0,0,20237,-182862] 2 [254:4620:1] 53680u2 [0,0,0,-82163,-1473102] 2 [521:9856:1]
53680v (1 curve)	1	2- 5+ 11- 61+	2- -2 5+ -2 11-  3 -1  7
Curve Equation t Generators 53680v1 [0,1,0,-1176,-31340] 1 [54:256:1]
53680w (1 curve)	1	2- 5+ 11- 61+	2-  3 5+ -2 11-  3 -1  2
Curve Equation t Generators 53680w1 [0,0,0,-1198723,495768578] 1 [110883:6875000:27]
53680x (2 curves)	2	2- 5+ 11- 61-	2- -1 5+ -2 11- -7  3 -2
Curve Equation t Generators 53680x1 [0,-1,0,-3176,-58640] 1 [188:2440:1]&[-22:10:1] 53680x2 [0,-1,0,-66616,6632816] 1 [-212:3344:1]&[-14:2750:1]
53680y (2 curves)	2	2- 5+ 11- 61-	2- -1 5+ -5 11- -4 -3 -2
Curve Equation t Generators 53680y1 [0,-1,0,54,1495] 1 [-6:-305:8]&[21:107:1] 53680y2 [0,-1,0,-8486,303811] 1 [3524:1375:64]&[69:205:1]
53680z (1 curve)	1	2- 5- 11+ 61+	2-  0 5-  2 11+ -3  4  4
Curve Equation t Generators 53680z1 [0,0,0,-752,-9104] 1 [57:365:1]
53680ba (2 curves)	1	2- 5- 11+ 61+	2- -2 5-  2 11+  4 -2 -4
Curve Equation t Generators 53680ba1 [0,1,0,-265,738] 2 [26:110:1] 53680ba2 [0,1,0,-3620,82600] 2 [55:230:1]
53680bb (1 curve)	0	2- 5- 11+ 61-	2-  1 5- -3 11+  0  3  4
Curve Equation t 53680bb1 [0,1,0,-330,-2797] 1
53680bc (1 curve)	0	2- 5- 11+ 61-	2- -1 5-  2 11+  1 -3  2
Curve Equation t 53680bc1 [0,-1,0,-20080,-78400] 1
53680bd (1 curve)	2	2- 5- 11+ 61-	2- -2 5- -2 11+  5 -1 -1
Curve Equation t Generators 53680bd1 [0,1,0,-59400,5552500] 1 [135:-110:1]&[-42:2824:1]
53680be (1 curve)	0	2- 5- 11+ 61-	2-  3 5-  0 11+ -5  7  4
Curve Equation t 53680be1 [0,0,0,-1147,-9814] 1
53680bf (1 curve)	0	2- 5- 11+ 61-	2-  3 5-  1 11+  2  7  0
Curve Equation t 53680bf1 [0,0,0,83,551] 1
53680bg (2 curves)	1	2- 5- 11- 61-	2- -1 5-  1 11-  2  3 -2
Curve Equation t Generators 53680bg1 [0,-1,0,50,-625] 1 [25:125:1] 53680bg2 [0,-1,0,-450,17275] 1 [225:3355:1]
53680bh (1 curve)	1	2- 5- 11- 61-	2- -3 5- -1 11-  6  5 -6
Curve Equation t Generators 53680bh1 [0,0,0,8183,365899] 1 [698:18605:1]

Data from Elliptic Curve Data by J. E. Cremona.
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