Cremona's table of elliptic curves

69680 = 2⁴ · 5 · 13 · 67

Class	r	Atkin-Lehner	Eigenvalues
69680a (1 curve)	0	2+ 5+ 13+ 67-	2+  1 5+  1  2 13+  8  0
Curve Equation t 69680a1 [0,1,0,64,-541] 1
69680b (2 curves)	0	2+ 5+ 13- 67+	2+  0 5+  4  0 13-  6  4
Curve Equation t 69680b1 [0,0,0,77,258] 2 69680b2 [0,0,0,-443,2442] 2
69680c (1 curve)	2	2+ 5+ 13- 67+	2+ -2 5+  1 -6 13- -4 -1
Curve Equation t Generators 69680c1 [0,1,0,-3216,69124] 1 [-64:130:1]&[27:52:1]
69680d (1 curve)	0	2+ 5+ 13- 67+	2+  3 5+  1 -6 13-  6  4
Curve Equation t 69680d1 [0,0,0,-177823,-93978103] 1
69680e (1 curve)	1	2+ 5+ 13- 67-	2+  2 5+  0  0 13- -3  1
Curve Equation t Generators 69680e1 [0,-1,0,-161,-835] 1 [122:39:8]
69680f (1 curve)	1	2+ 5+ 13- 67-	2+ -3 5+ -1 -4 13-  0 -4
Curve Equation t Generators 69680f1 [0,0,0,17,37] 1 [4:13:1]
69680g (1 curve)	1	2+ 5- 13+ 67-	2+  1 5-  3 -2 13+ -6 -4
Curve Equation t Generators 69680g1 [0,1,0,-820,205483] 1 [4245:58357:125]
69680h (1 curve)	1	2+ 5- 13+ 67-	2+ -1 5-  5  4 13+ -2  0
Curve Equation t Generators 69680h1 [0,-1,0,1440,-142025] 1 [810:8125:8]
69680i (1 curve)	1	2+ 5- 13+ 67-	2+  2 5-  3 -2 13+ -4 -1
Curve Equation t Generators 69680i1 [0,-1,0,-120,32] 1 [14:30:1]
69680j (2 curves)	0	2+ 5- 13- 67-	2+  2 5-  0 -6 13-  6  4
Curve Equation t 69680j1 [0,-1,0,-200,-640] 2 69680j2 [0,-1,0,-2880,-58528] 2
69680k (1 curve)	0	2- 5+ 13+ 67+	2-  0 5+  0 -2 13+ -1  7
Curve Equation t 69680k1 [0,0,0,-5142128,4494192752] 1
69680l (4 curves)	0	2- 5+ 13+ 67+	2-  0 5+  0  4 13+  2 -8
Curve Equation t 69680l1 [0,0,0,157,-2142] 2 69680l2 [0,0,0,-1843,-27342] 4 69680l3 [0,0,0,-7043,198338] 2 69680l4 [0,0,0,-28643,-1865822] 2
69680m (4 curves)	0	2- 5+ 13+ 67+	2-  0 5+  0 -4 13+  2 -4
Curve Equation t 69680m1 [0,0,0,-1216643,788349058] 2 69680m2 [0,0,0,-22188163,40219000962] 4 69680m3 [0,0,0,-24932483,29641842818] 2 69680m4 [0,0,0,-354988163,2574357880962] 2
69680n (1 curve)	0	2- 5+ 13+ 67+	2-  0 5+  3  2 13+  2  5
Curve Equation t 69680n1 [0,0,0,-563,-4878] 1
69680o (1 curve)	2	2- 5+ 13+ 67+	2- -1 5+  1 -2 13+  0 -4
Curve Equation t Generators 69680o1 [0,-1,0,-66,235] 1 [1:13:1]&[9:17:1]
69680p (2 curves)	0	2- 5+ 13+ 67+	2-  2 5+  4 -2 13+ -6  2
Curve Equation t 69680p1 [0,-1,0,-523056,-124425280] 2 69680p2 [0,-1,0,913424,-688674624] 2
69680q (1 curve)	1	2- 5+ 13+ 67-	2-  0 5+ -1  0 13+ -6 -5
Curve Equation t Generators 69680q1 [0,0,0,-10703,368202] 1 [322:409:8]
69680r (2 curves)	1	2- 5+ 13+ 67-	2- -2 5+  0  2 13+ -2 -8
Curve Equation t Generators 69680r1 [0,1,0,-1256,-4556] 2 [-18:112:1] 69680r2 [0,1,0,-11976,497140] 2 [-58:1000:1]
69680s (2 curves)	1	2- 5+ 13- 67+	2- -1 5+  4 -3 13-  6  4
Curve Equation t Generators 69680s1 [0,-1,0,99,-575] 1 [25:130:1] 69680s2 [0,-1,0,-941,20641] 1 [29:130:1]
69680t (2 curves)	1	2- 5+ 13- 67+	2-  2 5+ -5  0 13-  0 -5
Curve Equation t Generators 69680t1 [0,-1,0,-436,-3300] 1 [-102:39:8] 69680t2 [0,-1,0,-4076,100076] 1 [-358:3495:8]
69680u (1 curve)	0	2- 5+ 13- 67-	2-  0 5+ -1  3 13-  2  6
Curve Equation t 69680u1 [0,0,0,-712643,232197058] 1
69680v (2 curves)	0	2- 5+ 13- 67-	2-  0 5+ -4  0 13-  2 -6
Curve Equation t 69680v1 [0,0,0,-1043,-26158] 2 69680v2 [0,0,0,-21043,-1174158] 2
69680w (1 curve)	0	2- 5+ 13- 67-	2-  1 5+  3 -2 13- -2 -4
Curve Equation t 69680w1 [0,1,0,34,-205] 1
69680x (1 curve)	1	2- 5- 13+ 67+	2-  0 5- -1  2 13+  6  1
Curve Equation t Generators 69680x1 [0,0,0,-583907,-171736094] 1 [-3534:155:8]
69680y (2 curves)	1	2- 5- 13+ 67+	2-  0 5- -4 -4 13+ -6 -2
Curve Equation t Generators 69680y1 [0,0,0,35413,1602266] 2 [36821:7065600:1] 69680y2 [0,0,0,-169387,13931226] 2 [85:384:1]
69680z (1 curve)	1	2- 5- 13+ 67+	2-  1 5-  3  0 13+ -6  8
Curve Equation t Generators 69680z1 [0,1,0,70,-25] 1 [10:65:8]
69680ba (1 curve)	1	2- 5- 13+ 67+	2- -1 5-  1  2 13+ -6 -4
Curve Equation t Generators 69680ba1 [0,-1,0,-6430,200615] 1 [41:65:1]
69680bb (1 curve)	1	2- 5- 13+ 67+	2-  2 5-  1  2 13+  0 -7
Curve Equation t Generators 69680bb1 [0,-1,0,-130846680,123764057072] 1 [6366083:383076576:6859]
69680bc (1 curve)	0	2- 5- 13+ 67-	2-  1 5-  3 -4 13+  4  4
Curve Equation t 69680bc1 [0,1,0,-250,-1625] 1
69680bd (1 curve)	0	2- 5- 13- 67+	2-  1 5-  0 -3 13- -6 -8
Curve Equation t 69680bd1 [0,1,0,-5,-205] 1
69680be (3 curves)	0	2- 5- 13- 67+	2-  2 5-  1  6 13-  0  7
Curve Equation t 69680be1 [0,-1,0,-24440,-1440400] 1 69680be2 [0,-1,0,-214440,37631600] 1 69680be3 [0,-1,0,-17286040,27668260080] 1
69680bf (2 curves)	0	2- 5- 13- 67+	2-  2 5-  4  0 13- -3  7
Curve Equation t 69680bf1 [0,-1,0,-82485,-9090883] 1 69680bf2 [0,-1,0,-38485,-18763683] 1
69680bg (1 curve)	1	2- 5- 13- 67-	2-  0 5-  2  6 13- -7  3
Curve Equation t Generators 69680bg1 [0,0,0,1648,-130596] 1 [53:325:1]
69680bh (1 curve)	1	2- 5- 13- 67-	2-  0 5-  3  0 13-  2  5
Curve Equation t Generators 69680bh1 [0,0,0,-32087,-2212286] 1 [-24664530:249709:238328]
69680bi (1 curve)	1	2- 5- 13- 67-	2-  0 5- -3 -3 13-  2  2
Curve Equation t Generators 69680bi1 [0,0,0,-27104189867,1717538256339674] 1 [98933:2090400:1]
69680bj (1 curve)	1	2- 5- 13- 67-	2-  0 5- -3  6 13-  2 -7
Curve Equation t Generators 69680bj1 [0,0,0,-9467,-353494] 1 [-430:67:8]
69680bk (1 curve)	1	2- 5- 13- 67-	2-  2 5- -3  4 13- -4 -7
Curve Equation t Generators 69680bk1 [0,-1,0,-44220,3593900] 1 [970:75:8]
69680bl (2 curves)	1	2- 5- 13- 67-	2- -2 5-  0 -2 13- -2 -4
Curve Equation t Generators 69680bl1 [0,1,0,-2614567280,51456529347028] 2 [20306:2595840:1] 69680bl2 [0,1,0,-2615253360,51428172562900] 2 [39820:3229590:1]
69680bm (1 curve)	1	2- 5- 13- 67-	2- -2 5- -5 -2 13-  8  1
Curve Equation t Generators 69680bm1 [0,1,0,-800,-8972] 1 [-17:2:1]
69680bn (1 curve)	1	2- 5- 13- 67-	2- -3 5-  3  6 13- -4 -4
Curve Equation t Generators 69680bn1 [0,0,0,-937,77491] 1 [42:-335:1]
69680bo (1 curve)	1	2- 5- 13- 67-	2- -3 5- -3 -6 13- -4  8
Curve Equation t Generators 69680bo1 [0,0,0,-91626037,-337579854809] 1 [25302:3679975:1]

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