Cremona's table of elliptic curves

117300 = 2² · 3 · 5² · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
117300a (1 curve)	0	2- 3+ 5+ 17+ 23+	2- 3+ 5+  2 -3 -5 17+  3
Curve Equation t 117300a1 [0,-1,0,-108,-3288] 1
117300b (2 curves)	0	2- 3+ 5+ 17+ 23+	2- 3+ 5+  2  4  2 17+  4
Curve Equation t 117300b1 [0,-1,0,2867,-5738] 2 117300b2 [0,-1,0,-11508,-34488] 2
117300c (1 curve)	0	2- 3+ 5+ 17+ 23+	2- 3+ 5+ -3  2  5 17+ -2
Curve Equation t 117300c1 [0,-1,0,-47205733,124446258337] 1
117300d (2 curves)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+  0 -2  2 17+  4
Curve Equation t Generators 117300d1 [0,-1,0,-158133,-11853738] 2 [-103:1825:1] 117300d2 [0,-1,0,540492,-88702488] 2 [5486:409822:1]
117300e (2 curves)	1	2- 3+ 5+ 17+ 23-	2- 3+ 5+ -4  4 -2 17+ -6
Curve Equation t Generators 117300e1 [0,-1,0,-433,862] 2 [-18:50:1] 117300e2 [0,-1,0,1692,5112] 2 [273:4554:1]
117300f (2 curves)	1	2- 3+ 5+ 17- 23+	2- 3+ 5+ -2  4 -6 17-  4
Curve Equation t Generators 117300f1 [0,-1,0,-23533,1482562] 2 [714:25300:27] 117300f2 [0,-1,0,-382908,91326312] 2 [697:12750:1]
117300g (1 curve)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+  2 -5  7 17- -5
Curve Equation t 117300g1 [0,-1,0,-2854095508,-58687259046488] 1
117300h (1 curve)	2	2- 3+ 5+ 17- 23-	2- 3+ 5+ -3 -5  2 17- -5
Curve Equation t Generators 117300h1 [0,-1,0,-2758,161137] 1 [-48:425:1]&[72:575:1]
117300i (1 curve)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+  5 -1 -1 17- -5
Curve Equation t 117300i1 [0,-1,0,-552708,158253912] 1
117300j (1 curve)	0	2- 3+ 5+ 17- 23-	2- 3+ 5+  5  4  1 17-  4
Curve Equation t 117300j1 [0,-1,0,-2333,-41463] 1
117300k (1 curve)	1	2- 3+ 5- 17+ 23+	2- 3+ 5- -1 -3 -6 17+ -5
Curve Equation t Generators 117300k1 [0,-1,0,-178,-923] 1 [27:115:1]
117300l (2 curves)	1	2- 3+ 5- 17+ 23+	2- 3+ 5- -4  4 -4 17+ -4
Curve Equation t Generators 117300l1 [0,-1,0,-373,-1958] 2 [-14:18:1] 117300l2 [0,-1,0,-5548,-157208] 2 [297:4930:1]
117300m (2 curves)	0	2- 3+ 5- 17+ 23-	2- 3+ 5-  0  0 -4 17+  4
Curve Equation t 117300m1 [0,-1,0,-7333,-226838] 2 117300m2 [0,-1,0,-21708,951912] 2
117300n (1 curve)	0	2- 3+ 5- 17+ 23-	2- 3+ 5-  3 -3  2 17+  7
Curve Equation t 117300n1 [0,-1,0,-6366778,6185527477] 1
117300o (2 curves)	0	2- 3+ 5- 17+ 23-	2- 3+ 5- -4  4  4 17+  4
Curve Equation t 117300o1 [0,-1,0,-206173,-34887158] 2 117300o2 [0,-1,0,-510348,92257992] 2
117300p (1 curve)	0	2- 3+ 5- 17- 23+	2- 3+ 5- -1 -3  4 17-  5
Curve Equation t 117300p1 [0,-1,0,35542,1613037] 1
117300q (1 curve)	0	2- 3+ 5- 17- 23+	2- 3+ 5-  3 -5  1 17- -5
Curve Equation t 117300q1 [0,-1,0,-36708,-38088] 1
117300r (1 curve)	1	2- 3+ 5- 17- 23-	2- 3+ 5-  1  5  1 17-  5
Curve Equation t Generators 117300r1 [0,-1,0,-8882708,10192773912] 1 [109988:11475:64]
117300s (2 curves)	1	2- 3- 5+ 17+ 23+	2- 3- 5+  0  2  2 17+  4
Curve Equation t Generators 117300s1 [0,1,0,-17133,-865512] 2 [-5422988:2779002:68921] 117300s2 [0,1,0,-8508,-1728012] 2 [14725440877042:-131102969682357:82086013736]
117300t (1 curve)	1	2- 3- 5+ 17+ 23+	2- 3- 5+ -1  2 -1 17+  8
Curve Equation t Generators 117300t1 [0,1,0,-6383533,-6197961937] 1 [-1507:1350:1]
117300u (1 curve)	1	2- 3- 5+ 17+ 23+	2- 3- 5+ -1  5 -1 17+  5
Curve Equation t Generators 117300u1 [0,1,0,-355308,81400068] 1 [372:918:1]
117300v (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+ -1  6  5 17+ -6
Curve Equation t 117300v1 [0,1,0,-15733,-573337] 1
117300w (1 curve)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  2  3 -1 17+ -1
Curve Equation t 117300w1 [0,1,0,-490908,132823188] 1
117300x (2 curves)	0	2- 3- 5+ 17+ 23-	2- 3- 5+  2 -4  2 17+ -4
Curve Equation t 117300x1 [0,1,0,537673867,5910346420488] 2 117300x2 [0,1,0,-3485040508,59026267027988] 2
117300y (1 curve)	2	2- 3- 5+ 17+ 23-	2- 3- 5+ -3 -5 -1 17+ -5
Curve Equation t Generators 117300y1 [0,1,0,-1468,-892] 1 [-28:138:1]&[-8:102:1]
117300z (1 curve)	2	2- 3- 5+ 17+ 23-	2- 3- 5+ -5 -1 -6 17+ -5
Curve Equation t Generators 117300z1 [0,1,0,-109258,13866113] 1 [182:207:1]&[-232:5175:1]
117300ba (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+  2  1 -5 17-  1
Curve Equation t 117300ba1 [0,1,0,32092,-5758812] 1
117300bb (1 curve)	0	2- 3- 5+ 17- 23+	2- 3- 5+  2 -3  3 17-  7
Curve Equation t 117300bb1 [0,1,0,692,682388] 1
117300bc (2 curves)	0	2- 3- 5+ 17- 23+	2- 3- 5+  4  0 -2 17- -2
Curve Equation t 117300bc1 [0,1,0,-407133,-99820512] 2 117300bc2 [0,1,0,-226508,-188688012] 2
117300bd (2 curves)	1	2- 3- 5+ 17- 23-	2- 3- 5+  0  4 -2 17-  2
Curve Equation t Generators 117300bd1 [0,1,0,-1448088633,21209524945488] 2 [21963:1725:1] 117300bd2 [0,1,0,-1446760508,21250372757988] 2 [-7436:5621154:1]
117300be (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+ -1 -1 -4 17-  5
Curve Equation t Generators 117300be1 [0,1,0,-734758,-355066387] 1 [17434:733125:8]
117300bf (1 curve)	1	2- 3- 5+ 17- 23-	2- 3- 5+ -3 -2  1 17-  2
Curve Equation t Generators 117300bf1 [0,1,0,-20133,-1078137] 1 [-87:150:1]
117300bg (1 curve)	2	2- 3- 5- 17+ 23+	2- 3- 5- -5 -1  1 17+ -5
Curve Equation t Generators 117300bg1 [0,1,0,-22108,1257188] 1 [92:-102:1]&[-112:1530:1]
117300bh (1 curve)	1	2- 3- 5- 17+ 23-	2- 3- 5-  1 -3 -4 17+  5
Curve Equation t Generators 117300bh1 [0,1,0,1422,13473] 1 [-6:69:1]
117300bi (2 curves)	1	2- 3- 5- 17- 23+	2- 3- 5-  0  0  4 17-  4
Curve Equation t Generators 117300bi1 [0,1,0,-293,-1932] 2 [-11:9:1] 117300bi2 [0,1,0,-868,7268] 2 [-28:102:1]
117300bj (1 curve)	1	2- 3- 5- 17- 23+	2- 3- 5- -3 -3 -2 17-  7
Curve Equation t Generators 117300bj1 [0,1,0,-159169458,772872595713] 1 [7458:25875:1]
117300bk (2 curves)	1	2- 3- 5- 17- 23+	2- 3- 5-  4  4 -4 17-  4
Curve Equation t Generators 117300bk1 [0,1,0,-5154333,-4371203412] 2 [-1131:3591:1] 117300bk2 [0,1,0,-12758708,11506731588] 2 [-1148:156978:1]
117300bl (1 curve)	0	2- 3- 5- 17- 23-	2- 3- 5-  1 -3  6 17- -5
Curve Equation t 117300bl1 [0,1,0,-4458,-124287] 1
117300bm (2 curves)	0	2- 3- 5- 17- 23-	2- 3- 5-  4  4  4 17- -4
Curve Equation t 117300bm1 [0,1,0,-9333,-263412] 2 117300bm2 [0,1,0,-138708,-19928412] 2

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