Cremona's table of elliptic curves

5538 = 2 · 3 · 13 · 71

Class	r	Atkin-Lehner	Eigenvalues
5538a (1 curve)	1	2+ 3+ 13+ 71+	2+ 3+  3 -5  1 13+  2 -3
Curve Equation t Generators 5538a1 [1,1,0,24,-192] 1 [7:16:1]
5538b (1 curve)	0	2+ 3+ 13+ 71-	2+ 3+  1 -1 -5 13+ -2 -5
Curve Equation t 5538b1 [1,1,0,-6112,-186488] 1
5538c (1 curve)	0	2+ 3+ 13+ 71-	2+ 3+  1  3  3 13+ -2 -1
Curve Equation t 5538c1 [1,1,0,663,-507] 1
5538d (2 curves)	0	2+ 3+ 13+ 71-	2+ 3+ -2  0  0 13+  4  8
Curve Equation t 5538d1 [1,1,0,19,-375] 2 5538d2 [1,1,0,-691,-7049] 2
5538e (1 curve)	0	2+ 3+ 13- 71+	2+ 3+  3  1  3 13- -2  1
Curve Equation t 5538e1 [1,1,0,209,6253] 1
5538f (4 curves)	1	2+ 3+ 13- 71-	2+ 3+  2 -4 -4 13- -6  8
Curve Equation t Generators 5538f1 [1,1,0,-5588309,-5099649555] 2 [172015278838687687623470941185:-70299278254748247439132153846783:1032233715597895981045875] 5538f2 [1,1,0,-89474389,-325796133395] 4 [1253240233011815338:36952992614688327211:110598912144001] 5538f3 [1,1,0,-1431590229,-20849163135507] 2 [430931705148890672873995182861:-351575102493125480625752408067378:646088474394578011469401] 5538f4 [1,1,0,-89535829,-325326375443] 4 [-12212686525095:-56317498895071:2222447625]
5538g (1 curve)	1	2+ 3+ 13- 71-	2+ 3+ -3  1  1 13- -6  3
Curve Equation t Generators 5538g1 [1,1,0,1,39] 1 [1:6:1]
5538h (1 curve)	1	2+ 3- 13- 71+	2+ 3- -1  1  5 13- -2 -7
Curve Equation t Generators 5538h1 [1,0,1,-579,-5570] 1 [28:5:1]
5538i (2 curves)	0	2+ 3- 13- 71-	2+ 3- -3  5 -3 13-  6 -7
Curve Equation t 5538i1 [1,0,1,695,8492] 3 5538i2 [1,0,1,-6760,-352330] 1
5538j (4 curves)	0	2- 3+ 13+ 71+	2- 3+ -2  0  0 13+ -2 -4
Curve Equation t 5538j1 [1,1,1,-59,-199] 2 5538j2 [1,1,1,-79,-79] 4 5538j3 [1,1,1,-789,8157] 2 5538j4 [1,1,1,311,-235] 2
5538k (1 curve)	1	2- 3+ 13+ 71-	2- 3+  1 -1  3 13+ -2 -7
Curve Equation t Generators 5538k1 [1,1,1,-150,-771] 1 [262:1269:8]
5538l (1 curve)	1	2- 3+ 13+ 71-	2- 3+  1 -1 -5 13+ -2  1
Curve Equation t Generators 5538l1 [1,1,1,-311376690,2114709023679] 1 [10073:14931:1]
5538m (2 curves)	1	2- 3+ 13+ 71-	2- 3+ -2  2  4 13+ -8  4
Curve Equation t Generators 5538m1 [1,1,1,186,-189] 2 [7:35:1] 5538m2 [1,1,1,-774,-2493] 2 [-21:81:1]
5538n (2 curves)	0	2- 3+ 13- 71-	2- 3+  2 -4 -4 13-  0 -4
Curve Equation t 5538n1 [1,1,1,403,-3229] 2 5538n2 [1,1,1,-2437,-33901] 2
5538o (1 curve)	1	2- 3- 13+ 71+	2- 3- -1 -1  1 13+ -2 -3
Curve Equation t Generators 5538o1 [1,0,0,2294,-51676] 1 [32:218:1]
5538p (1 curve)	1	2- 3- 13+ 71+	2- 3- -1 -1 -3 13+ -2  1
Curve Equation t Generators 5538p1 [1,0,0,-1,-13] 1 [38:59:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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