Cremona's table of elliptic curves

27234 = 2 · 3² · 17 · 89

Class	r	Atkin-Lehner	Eigenvalues
27234a (4 curves)	0	2+ 3- 17+ 89+	2+ 3-  2  0  0 -2 17+ -4
Curve Equation t 27234a1 [1,-1,0,-2601,-50355] 2 27234a2 [1,-1,0,-3321,-19683] 4 27234a3 [1,-1,0,12699,-163863] 2 27234a4 [1,-1,0,-30861,2078865] 2
27234b (4 curves)	0	2+ 3- 17+ 89+	2+ 3-  2 -4  4 -6 17+ -4
Curve Equation t 27234b1 [1,-1,0,-46476,-3791408] 2 27234b2 [1,-1,0,-92556,5009872] 4 27234b3 [1,-1,0,323604,37387120] 2 27234b4 [1,-1,0,-1245996,535361584] 2
27234c (2 curves)	1	2+ 3- 17+ 89-	2+ 3- -1 -2 -2 -1 17+  0
Curve Equation t Generators 27234c1 [1,-1,0,3105,48109] 1 [-18:1631:8] 27234c2 [1,-1,0,-536985,151593079] 1 [3822:13931:8]
27234d (2 curves)	1	2+ 3- 17+ 89-	2+ 3-  2 -2  4  2 17+  0
Curve Equation t Generators 27234d1 [1,-1,0,-1071,-13091] 2 [-146:163:8] 27234d2 [1,-1,0,-17091,-855743] 2 [10484:49073:64]
27234e (1 curve)	1	2+ 3- 17- 89+	2+ 3-  1  0  0 -3 17-  0
Curve Equation t Generators 27234e1 [1,-1,0,786,-3628] 1 [849:5699:27]
27234f (1 curve)	1	2+ 3- 17- 89+	2+ 3- -1 -4 -4 -5 17- -4
Curve Equation t Generators 27234f1 [1,-1,0,-405,-3051] 1 [25:32:1]
27234g (2 curves)	1	2+ 3- 17- 89+	2+ 3-  2  2 -4  4 17-  8
Curve Equation t Generators 27234g1 [1,-1,0,-10431,365337] 2 [-111:438:1] 27234g2 [1,-1,0,15579,1879119] 2 [-77:506:1]
27234h (2 curves)	1	2+ 3- 17- 89+	2+ 3- -2 -2  4 -4 17-  4
Curve Equation t Generators 27234h1 [1,-1,0,-43398,-3468960] 2 [241:41:1] 27234h2 [1,-1,0,-43308,-3484134] 2 [585:12789:1]
27234i (2 curves)	1	2+ 3- 17- 89+	2+ 3- -2 -2 -4  4 17-  4
Curve Equation t Generators 27234i1 [1,-1,0,-43308,3479760] 2 [-168:2532:1] 27234i2 [1,-1,0,-41868,3720816] 2 [105:-741:1]
27234j (2 curves)	0	2+ 3- 17- 89-	2+ 3-  0  2 -2  2 17-  4
Curve Equation t 27234j1 [1,-1,0,-792,364] 2 27234j2 [1,-1,0,-8802,319162] 2
27234k (4 curves)	0	2+ 3- 17- 89-	2+ 3-  0  2  6  2 17- -4
Curve Equation t 27234k1 [1,-1,0,-1830672,-936168192] 2 27234k2 [1,-1,0,-3881232,1545419520] 2 27234k3 [1,-1,0,-16993872,26569363392] 6 27234k4 [1,-1,0,-270782712,1715128031448] 6
27234l (4 curves)	0	2- 3- 17+ 89-	2- 3-  0 -4  0 -4 17+  8
Curve Equation t 27234l1 [1,-1,1,-64490,-3809815] 2 27234l2 [1,-1,1,197950,-27114487] 2 27234l3 [1,-1,1,-2233265,1284963041] 6 27234l4 [1,-1,1,-2025905,1533048545] 6
27234m (2 curves)	0	2- 3- 17+ 89-	2- 3-  0 -4  4  0 17+  0
Curve Equation t 27234m1 [1,-1,1,-230,1041] 2 27234m2 [1,-1,1,580,6225] 2
27234n (2 curves)	0	2- 3- 17+ 89-	2- 3-  2  2  4  4 17+  2
Curve Equation t 27234n1 [1,-1,1,-2984,-17557] 2 27234n2 [1,-1,1,-27464,1745003] 2
27234o (2 curves)	0	2- 3- 17- 89+	2- 3-  0  0 -6 -4 17-  2
Curve Equation t 27234o1 [1,-1,1,-770,-547] 2 27234o2 [1,-1,1,-8060,279389] 2
27234p (2 curves)	0	2- 3- 17- 89+	2- 3-  4  0  6  0 17- -6
Curve Equation t 27234p1 [1,-1,1,-308,-1961] 2 27234p2 [1,-1,1,-668,3799] 2

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