Cremona's table of elliptic curves

27797 = 7 · 11 · 19²

Class	r	Atkin-Lehner	Eigenvalues
27797a (1 curve)	0	7+ 11+ 19-	0  3 -1 7+ 11+  4  2 19-
Curve Equation t 27797a1 [0,0,1,722,-1715] 1
27797b (2 curves)	1	7+ 11- 19-	-1 -2 -2 7+ 11- -4  4 19-
Curve Equation t Generators 27797b1 [1,0,0,1256,-64905] 2 [41:216:1] 27797b2 [1,0,0,-18599,-902786] 2 [-65:213:1]
27797c (1 curve)	0	7- 11+ 19+	2 -2 -4 7- 11+  5  2 19+
Curve Equation t 27797c1 [0,1,1,-120,-525] 1
27797d (3 curves)	1	7- 11+ 19-	0 -1  3 7- 11+  4 -6 19-
Curve Equation t Generators 27797d1 [0,-1,1,-32249,-2218362] 1 [154248:2003655:512] 27797d2 [0,-1,1,-17809,-4223717] 1 [659:16425:1] 27797d3 [0,-1,1,159081,109428108] 1 [71070:2447337:125]
27797e (1 curve)	1	7- 11+ 19-	-2  2 -4 7- 11+ -5  2 19-
Curve Equation t Generators 27797e1 [0,-1,1,-43440,3338872] 1 [98:115:1]
27797f (2 curves)	1	7- 11- 19+	1  2  2 7- 11- -2  6 19+
Curve Equation t Generators 27797f1 [1,1,0,-74734,7806975] 2 [1826153603250:-7121046214165:9786611619] 27797f2 [1,1,0,-40439,15043220] 2 [164036:46249652:12167]
27797g (2 curves)	1	7- 11- 19+	-1 -2  2 7- 11-  2  6 19+
Curve Equation t Generators 27797g1 [1,0,0,-207,-1160] 2 [17:9:1] 27797g2 [1,0,0,-112,-2205] 2 [35:175:1]

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

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