Cremona's table of elliptic curves

20570 = 2 · 5 · 11² · 17

Class	r	Atkin-Lehner	Eigenvalues
20570a (1 curve)	0	2+ 5+ 11- 17+	2+  1 5+  3 11-  4 17+  6
Curve Equation t 20570a1 [1,0,1,-66714684,209738228346] 1
20570b (2 curves)	1	2+ 5+ 11- 17-	2+  1 5+ -2 11-  1 17-  1
Curve Equation t Generators 20570b1 [1,0,1,48276,1271466] 1 [19638:967131:8] 20570b2 [1,0,1,-803564,286126762] 1 [208:11209:1]
20570c (1 curve)	1	2+ 5- 11- 17+	2+  1 5- -4 11-  1 17+ -3
Curve Equation t Generators 20570c1 [1,0,1,602,7258] 1 [-74:275:8]
20570d (2 curves)	1	2+ 5- 11- 17+	2+ -1 5-  2 11-  1 17+  5
Curve Equation t Generators 20570d1 [1,1,0,-295220037,-1954748597171] 1 [7030216082841:-2797108578391658:43986977] 20570d2 [1,1,0,2091311363,22825608770309] 1 [158693361896605259908701546289508878074622481224256823034148685:65540481248490439097572519223059276917413394419327692104791758469:1012677160835128405177645900838821737006173094662041226157]
20570e (1 curve)	1	2+ 5- 11- 17+	2+ -3 5-  4 11-  1 17+ -7
Curve Equation t Generators 20570e1 [1,-1,0,-10489,-3694355] 1 [201:1412:1]
20570f (2 curves)	1	2- 5+ 11- 17+	2-  0 5+  0 11-  6 17+ -2
Curve Equation t Generators 20570f1 [1,-1,1,64712,1236667] 2 [25:1681:1] 20570f2 [1,-1,1,-264408,10188731] 2 [1521:55141:1]
20570g (1 curve)	1	2- 5+ 11- 17+	2-  1 5+  0 11-  3 17+ -3
Curve Equation t Generators 20570g1 [1,0,0,9254,5298316] 1 [-1218:5449:8]
20570h (2 curves)	1	2- 5+ 11- 17+	2-  1 5+  4 11- -5 17+  1
Curve Equation t Generators 20570h1 [1,0,0,-2359926,-1395587170] 1 [14564419080659605840009896790596872402421231754766:-1018157827549621474555741923564368912527171080822671:2742342915817263014886739718592435823207881416] 20570h2 [1,0,0,-2041091,-1786081879] 1 [10877209381971676:2349618580438887089:231815006207]
20570i (1 curve)	1	2- 5+ 11- 17+	2- -1 5+  2 11- -5 17+  5
Curve Equation t Generators 20570i1 [1,1,1,-35516,-2622531] 1 [721:18273:1]
20570j (4 curves)	1	2- 5+ 11- 17+	2- -2 5+ -2 11- -2 17+ -8
Curve Equation t Generators 20570j1 [1,0,0,-308976,-66129920] 2 [-322:166:1] 20570j2 [1,0,0,-299296,-70464624] 2 [646:2102:1] 20570j3 [1,0,0,-504391,27078921] 2 [-74:8037:1] 20570j4 [1,0,0,1973689,214917385] 2 [406:32709:1]
20570k (1 curve)	1	2- 5+ 11- 17+	2-  3 5+ -2 11-  3 17+ -3
Curve Equation t Generators 20570k1 [1,-1,1,-1233,16987] 1 [4146:239:216]
20570l (1 curve)	1	2- 5+ 11- 17+	2- -3 5+  0 11-  3 17+  1
Curve Equation t Generators 20570l1 [1,-1,1,-4457058,3622930017] 1 [1345:-8417:1]
20570m (1 curve)	0	2- 5+ 11- 17-	2-  1 5+ -3 11- -4 17- -6
Curve Equation t 20570m1 [1,0,0,-551361,-157629559] 1
20570n (2 curves)	0	2- 5- 11- 17+	2-  0 5-  4 11- -2 17+  2
Curve Equation t 20570n1 [1,-1,1,-5347,165091] 2 20570n2 [1,-1,1,-87627,10005779] 2
20570o (2 curves)	0	2- 5- 11- 17+	2- -2 5-  2 11-  6 17+  8
Curve Equation t 20570o1 [1,0,0,-910,-9228] 2 20570o2 [1,0,0,1510,-49400] 2
20570p (2 curves)	1	2- 5- 11- 17-	2-  1 5- -2 11- -5 17-  1
Curve Equation t Generators 20570p1 [1,0,0,-305,-8623] 1 [32:105:1] 20570p2 [1,0,0,2720,220672] 1 [252:3988:1]

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