Cremona's table of elliptic curves

13690 = 2 · 5 · 37²

Class	r	Atkin-Lehner	Eigenvalues
13690a (2 curves)	1	2+ 5+ 37+	2+  1 5+  2  0  5  0  2
Curve Equation t Generators 13690a1 [1,0,1,-13719,547656] 3 [-185552635344:-10366664746019:12024728171] 13690a2 [1,0,1,-266984,-53043218] 1 [-7303708:10345706:24389]
13690b (4 curves)	1	2+ 5+ 37+	2+ -2 5+  2  0 -2 -6 -2
Curve Equation t Generators 13690b1 [1,0,1,-102704,-6935298] 2 [-1290:19299:8] 13690b2 [1,0,1,335376,-50392834] 2 [3481:206347:1] 13690b3 [1,0,1,-7221504,-7470066178] 2 [584840117184477:-44514759626286349:84546715869] 13690b4 [1,0,1,-7194124,-7529513634] 2 [37210341:1543038617:9261]
13690c (1 curve)	1	2+ 5+ 37+	2+ -3 5+  0  2 -1 -2  2
Curve Equation t Generators 13690c1 [1,-1,0,-857935,203970925] 1 [3171:274846:27]
13690d (1 curve)	0	2+ 5- 37+	2+  2 5-  0 -5  1 -4 -5
Curve Equation t 13690d1 [1,1,0,-165677,-570948451] 1
13690e (2 curves)	1	2+ 5- 37-	2+  0 5- -2  4  2  6  2
Curve Equation t Generators 13690e1 [1,-1,0,-2384,45388] 2 [27:-1:1] 13690e2 [1,-1,0,-2014,59670] 2 [-9:282:1]
13690f (1 curve)	1	2+ 5- 37-	2+  0 5-  5 -3  2 -1  2
Curve Equation t Generators 13690f1 [1,-1,0,-3036014,-2038386732] 1 [45822676692644181274867666:5960542469638030690763081585:2658775846113568477304]
13690g (1 curve)	0	2- 5+ 37+	2-  2 5+  0 -5 -1  4  5
Curve Equation t 13690g1 [1,1,1,-121,-11321] 1
13690h (1 curve)	0	2- 5+ 37+	2-  2 5+  1  3  0 -3  6
Curve Equation t 13690h1 [1,1,1,17084,-1222331] 1
13690i (2 curves)	1	2- 5+ 37-	2-  0 5+ -2  4 -2 -6 -2
Curve Equation t Generators 13690i1 [1,-1,1,-3263953,2269663581] 2 [37436480949318:-625563923825187:46733803208] 13690i2 [1,-1,1,-2757423,2997648497] 2 [9267653065298177954160073082:-292081492309182995694131112765:7417508847245890652960056]
13690j (1 curve)	1	2- 5+ 37-	2-  0 5+  5 -3 -2  1 -2
Curve Equation t Generators 13690j1 [1,-1,1,-2218,-39703] 1 [65:263:1]
13690k (4 curves)	1	2- 5- 37+	2-  0 5-  0 -4 -2  2  4
Curve Equation t Generators 13690k1 [1,-1,1,-7102,190141] 4 [343225:3112383:15625] 13690k2 [1,-1,1,-34482,-2285011] 4 [4295681593262696:89723754069653653:8086711413248] 13690k3 [1,-1,1,-541012,-153028339] 2 [298541828:12634798327:140608] 13690k4 [1,-1,1,33968,-10279971] 2 [3974435303019609528203150:-93954079701930921887231423:7806993294001261625000]
13690l (2 curves)	1	2- 5- 37+	2-  1 5-  2  0 -5  0 -2
Curve Equation t Generators 13690l1 [1,0,0,-10,10] 1 [6:11:8] 13690l2 [1,0,0,-195,-1063] 1 [-8:5:1]
13690m (3 curves)	1	2- 5- 37+	2- -2 5- -1  3  4 -3 -2
Curve Equation t Generators 13690m1 [1,0,0,-73270,7627782] 1 [1726:10089:8] 13690m2 [1,0,0,-25355,17412025] 1 [1372:49967:1] 13690m3 [1,0,0,227910,-466881308] 1 [12324:1362838:1]
13690n (1 curve)	1	2- 5- 37+	2- -3 5-  0  2  1  2 -2
Curve Equation t Generators 13690n1 [1,-1,1,-627,4179] 1 [-13:106:1]

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