Cremona's table of elliptic curves

17680 = 2⁴ · 5 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
17680a (2 curves)	0	2+ 5+ 13+ 17-	2+ -2 5+  2 -2 13+ 17-  0
Curve Equation t 17680a1 [0,1,0,-3316,-73380] 2 17680a2 [0,1,0,64,-212636] 2
17680b (2 curves)	2	2+ 5+ 13- 17+	2+ -2 5+ -2 -4 13- 17+ -4
Curve Equation t Generators 17680b1 [0,1,0,-176,-860] 2 [-8:10:1]&[-6:4:1] 17680b2 [0,1,0,-696,6004] 2 [-30:28:1]&[-6:100:1]
17680c (2 curves)	1	2+ 5- 13- 17+	2+  0 5- -4  2 13- 17+  4
Curve Equation t Generators 17680c1 [0,0,0,-107,106] 2 [-3:20:1] 17680c2 [0,0,0,413,834] 2 [15:102:1]
17680d (2 curves)	0	2+ 5- 13- 17-	2+  0 5-  2  0 13- 17- -2
Curve Equation t 17680d1 [0,0,0,-367,-2706] 2 17680d2 [0,0,0,-347,-3014] 2
17680e (2 curves)	0	2+ 5- 13- 17-	2+ -2 5-  4 -2 13- 17-  2
Curve Equation t 17680e1 [0,1,0,-6260,-192740] 2 17680e2 [0,1,0,-6240,-194012] 2
17680f (2 curves)	1	2- 5+ 13+ 17-	2-  0 5+  2  4 13+ 17-  2
Curve Equation t Generators 17680f1 [0,0,0,-230203,42512298] 2 [-507:5376:1] 17680f2 [0,0,0,-230123,42543322] 2 [279:238:1]
17680g (2 curves)	1	2- 5+ 13+ 17-	2-  0 5+ -2  4 13+ 17-  6
Curve Equation t Generators 17680g1 [0,0,0,-283,-822] 2 [22:60:1] 17680g2 [0,0,0,997,-6198] 2 [23:170:1]
17680h (2 curves)	1	2- 5+ 13+ 17-	2-  2 5+  0 -2 13+ 17-  2
Curve Equation t Generators 17680h1 [0,-1,0,-4896,-73984] 2 [2091:1972:27] 17680h2 [0,-1,0,15584,-549120] 2 [186:2958:1]
17680i (4 curves)	1	2- 5+ 13- 17+	2-  2 5+  4  0 13- 17+ -2
Curve Equation t Generators 17680i1 [0,-1,0,-12441,-529984] 2 [132883296:870053275:884736] 17680i2 [0,-1,0,-12316,-541284] 2 [13467:292240:27] 17680i3 [0,-1,0,-16081,-191100] 2 [482390731623243245171424:3041029119277997376484375:3141305093964520194048] 17680i4 [0,-1,0,62044,-1566100] 2 [657989000967:16031446210000:1401168159]
17680j (2 curves)	1	2- 5- 13+ 17+	2-  0 5-  0  6 13+ 17+  0
Curve Equation t Generators 17680j1 [0,0,0,-2987,53466] 2 [-43:320:1] 17680j2 [0,0,0,5333,298074] 2 [-17:450:1]
17680k (2 curves)	1	2- 5- 13+ 17+	2-  2 5-  2  0 13+ 17+ -4
Curve Equation t Generators 17680k1 [0,-1,0,-5760,-102400] 2 [170:1950:1] 17680k2 [0,-1,0,-39040,2906112] 2 [-96:2400:1]
17680l (4 curves)	0	2- 5- 13- 17+	2-  2 5- -2  0 13- 17+  4
Curve Equation t 17680l1 [0,-1,0,-88680,-10134928] 2 17680l2 [0,-1,0,-90760,-9632400] 2 17680l3 [0,-1,0,-134680,1516272] 2 17680l4 [0,-1,0,-1540760,734927600] 2
17680m (2 curves)	0	2- 5- 13- 17+	2-  2 5- -4  0 13- 17+ -2
Curve Equation t 17680m1 [0,-1,0,-65,212] 2 17680m2 [0,-1,0,60,812] 2
17680n (2 curves)	0	2- 5- 13- 17+	2- -2 5-  2  4 13- 17+  4
Curve Equation t 17680n1 [0,1,0,-35640,2543188] 2 17680n2 [0,1,0,-568120,164630100] 2
17680o (4 curves)	1	2- 5- 13- 17-	2-  0 5-  4  0 13- 17-  4
Curve Equation t Generators 17680o1 [0,0,0,-25307,-1535094] 2 [342:5460:1] 17680o2 [0,0,0,-45787,1303434] 4 [263:2730:1] 17680o3 [0,0,0,-589787,174186634] 4 [-387:18560:1] 17680o4 [0,0,0,170533,10086026] 4 [10:3434:1]

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