Cremona's table of elliptic curves

69597 = 3² · 11 · 19 · 37

Class	r	Atkin-Lehner	Eigenvalues
69597a (1 curve)	2	3- 11+ 19+ 37+	0 3-  2 -2 11+ -6  1 19+
Curve Equation t Generators 69597a1 [0,0,1,-174,814] 1 [-14:22:1]&[4:13:1]
69597b (1 curve)	1	3- 11+ 19+ 37-	2 3-  2  0 11+ -6  3 19+
Curve Equation t Generators 69597b1 [0,0,1,-11289,-195057] 1 [2658:45765:8]
69597c (2 curves)	1	3- 11+ 19- 37+	1 3-  2  0 11+  2  0 19-
Curve Equation t Generators 69597c1 [1,-1,0,99,0] 2 [7220:51718:125] 69597c2 [1,-1,0,-396,297] 2 [232:3399:1]
69597d (2 curves)	2	3- 11+ 19- 37-	0 3-  0 -4 11+ -4 -3 19-
Curve Equation t Generators 69597d1 [0,0,1,-1380,-19692] 1 [-22:4:1]&[54:251:1] 69597d2 [0,0,1,-6330,176427] 3 [-73:499:1]&[-55:598:1]
69597e (1 curve)	1	3- 11- 19+ 37+	0 3-  0 -2 11-  1 -1 19+
Curve Equation t Generators 69597e1 [0,0,1,-25050,-16147836] 1 [6998:585247:1]
69597f (4 curves)	2	3- 11- 19+ 37-	-1 3-  2  0 11- -6 -6 19+
Curve Equation t Generators 69597f1 [1,-1,1,-19026914,117042125816] 2 [-5922:151312:1]&[-17346:3087371:8] 69597f2 [1,-1,1,-494046959,4217225146238] 4 [1416:1875589:1]&[11304:271570:1] 69597f3 [1,-1,1,-688645814,586010511938] 2 [1141752:184692458:27]&[-674:1024959:1] 69597f4 [1,-1,1,-7899768824,270254452847006] 2 [-23550:21064867:1]&[40338:4130554:1]
69597g (1 curve)	2	3- 11- 19- 37+	0 3-  0 -2 11- -4 -1 19-
Curve Equation t Generators 69597g1 [0,0,1,-15240,-621801] 1 [-734:509:8]&[-49:85:1]
69597h (1 curve)	2	3- 11- 19- 37+	0 3- -4  2 11-  0 -5 19-
Curve Equation t Generators 69597h1 [0,0,1,-34362,1792631] 1 [-171:1633:1]&[27:940:1]
69597i (2 curves)	1	3- 11- 19- 37-	-1 3-  4  2 11- -2 -2 19-
Curve Equation t Generators 69597i1 [1,-1,1,-21316613,37887133124] 2 [120708210:-639557659:42875] 69597i2 [1,-1,1,-341066948,2424503633564] 2 [3657192:-1852460:343]
69597j (1 curve)	1	3- 11- 19- 37-	2 3- -2  2 11- -2 -5 19-
Curve Equation t Generators 69597j1 [0,0,1,-471,-3933] 1 [450:3069:8]
69597k (1 curve)	1	3- 11- 19- 37-	2 3-  4 -4 11-  0  5 19-
Curve Equation t Generators 69597k1 [0,0,1,-170193,-27019539] 1 [149730:20479141:8]

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

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