Cremona's table of elliptic curves

52855 = 5 · 11 · 31²

Class	r	Atkin-Lehner	Eigenvalues
52855a (2 curves)	1	5+ 11+ 31+	0  1 5+  2 11+ -4  0  2
Curve Equation t Generators 52855a1 [0,1,1,-337631,75402400] 3 [1269364312:2975398101:3511808] 52855a2 [0,1,1,-39721,202639761] 1 [725064:27988869:512]
52855b (1 curve)	1	5+ 11+ 31+	-2  1 5+ -2 11+  2  4 -4
Curve Equation t Generators 52855b1 [0,1,1,-2274046,-1645147014] 1 [392079:46980874:27]
52855c (2 curves)	1	5+ 11- 31-	0 -1 5+  2 11-  4  0  2
Curve Equation t Generators 52855c1 [0,-1,1,-351,-2418] 1 [66:507:1] 52855c2 [0,-1,1,-41,-6789] 1 [23:62:1]
52855d (2 curves)	1	5+ 11- 31-	1  2 5+  4 11-  4 -4 -4
Curve Equation t Generators 52855d1 [1,1,0,-925943,-439551112] 2 [3049395779811786290200654126634751729036090564504:-252932139477417106410698988903682174433029722654224:439488664522791144006171583242146700663462243] 52855d2 [1,1,0,-15941568,-24503591737] 2 [-22694937629646889647379518:69501924452388047310137:9881340644866580203257]
52855e (1 curve)	1	5+ 11- 31-	-2 -1 5+ -2 11- -2 -4 -4
Curve Equation t Generators 52855e1 [0,-1,1,-2366,55986] 1 [-37:302:1]
52855f (1 curve)	1	5- 11+ 31-	2  1 5-  4 11+  2 -7  5
Curve Equation t Generators 52855f1 [0,1,1,-10,201] 1 [516:1673:64]
52855g (1 curve)	1	5- 11+ 31-	2 -1 5-  4 11+ -2 -2 -4
Curve Equation t Generators 52855g1 [0,-1,1,-10,31] 1 [10:31:8]
52855h (1 curve)	1	5- 11+ 31-	2 -1 5- -4 11+ -2  3  1
Curve Equation t Generators 52855h1 [0,-1,1,-10722088740,1545848890753131] 1 [-3768380:2842806143:64]
52855i (1 curve)	1	5- 11- 31+	2  1 5-  4 11-  2  2 -4
Curve Equation t Generators 52855i1 [0,1,1,-9930,-832769] 1 [73372559890:176353945697:563559976]
52855j (4 curves)	2	5- 11- 31-	1  0 5-  0 11- -2 -6 -4
Curve Equation t Generators 52855j1 [1,-1,0,781,-6712] 2 [622:5455:8]&[215160:1738292:3375] 52855j2 [1,-1,0,-4024,-57645] 4 [266:4067:1]&[-2956:12203:64] 52855j3 [1,-1,0,-28049,1773060] 2 [622:1611:8]&[84:24:1] 52855j4 [1,-1,0,-56879,-5205722] 2 [-138:104:1]&[-3745230:2580113:27000]
52855k (1 curve)	0	5- 11- 31-	2  1 5- -4 11-  2 -3  1
Curve Equation t 52855k1 [0,1,1,-11157220,-51893394369] 1
52855l (1 curve)	0	5- 11- 31-	2 -1 5-  4 11- -2  7  5
Curve Equation t 52855l1 [0,-1,1,-9930,-6093639] 1

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