Cremona's table of elliptic curves

116325 = 3² · 5² · 11 · 47

Class	r	Atkin-Lehner	Eigenvalues
116325a (1 curve)	1	3+ 5+ 11+ 47+	1 3+ 5+ -1 11+  3  3  5
Curve Equation t Generators 116325a1 [1,-1,0,-86442,-86611159] 1 [66838690:1263259489:97336]
116325b (2 curves)	1	3+ 5+ 11+ 47+	1 3+ 5+  2 11+  2  6  0
Curve Equation t Generators 116325b1 [1,-1,0,183,-17784] 2 [232428:312698:9261] 116325b2 [1,-1,0,-9192,-327159] 2 [-1680:1687:27]
116325c (2 curves)	1	3+ 5+ 11+ 47+	1 3+ 5+  2 11+ -6  6 -4
Curve Equation t Generators 116325c1 [1,-1,0,-2635917,3686593616] 2 [1949601986301136180:-618777644862431253162:10886875969443137] 116325c2 [1,-1,0,-55370292,158461984241] 2 [1181187928:-6212732265337:15813251]
116325d (2 curves)	2	3+ 5+ 11+ 47-	0 3+ 5+  1 11+  4 -6 -4
Curve Equation t Generators 116325d1 [0,0,1,-174300,28008781] 1 [215:-688:1]&[241:-2:1] 116325d2 [0,0,1,-159300,33026906] 1 [690:15862:1]&[340:4262:1]
116325e (1 curve)	2	3+ 5+ 11+ 47-	-1 3+ 5+  3 11+ -5 -3  5
Curve Equation t Generators 116325e1 [1,-1,1,-3251855,-2262438728] 1 [3404:-163265:1]&[43094:2934193:8]
116325f (2 curves)	0	3+ 5+ 11- 47+	0 3+ 5+  1 11-  4  6 -4
Curve Equation t 116325f1 [0,0,1,-17700,-1223219] 1 116325f2 [0,0,1,-1568700,-756237094] 1
116325g (1 curve)	0	3+ 5+ 11- 47+	1 3+ 5+  3 11- -5  3  5
Curve Equation t 116325g1 [1,-1,0,-361317,83914466] 1
116325h (1 curve)	1	3+ 5+ 11- 47-	-1 3+ 5+ -1 11-  3 -3  5
Curve Equation t Generators 116325h1 [1,-1,1,-9605,3211022] 1 [804:22285:1]
116325i (2 curves)	1	3+ 5+ 11- 47-	-1 3+ 5+  2 11-  2 -6  0
Curve Equation t Generators 116325i1 [1,-1,1,1645,478522] 2 [98:1205:1] 116325i2 [1,-1,1,-82730,8916022] 2 [74:1750:1]
116325j (2 curves)	1	3+ 5+ 11- 47-	-1 3+ 5+  2 11- -6 -6 -4
Curve Equation t Generators 116325j1 [1,-1,1,-292880,-136442878] 2 [700:733:1] 116325j2 [1,-1,1,-6152255,-5866911628] 2 [-1466:870:1]
116325k (1 curve)	2	3+ 5- 11+ 47+	0 3+ 5- -3 11+  2  0  4
Curve Equation t Generators 116325k1 [0,0,1,750,781] 1 [25:-188:1]&[2:245:8]
116325l (1 curve)	1	3+ 5- 11+ 47-	0 3+ 5-  3 11+ -2  0  4
Curve Equation t Generators 116325l1 [0,0,1,30,6] 1 [0:2:1]
116325m (1 curve)	1	3+ 5- 11- 47+	0 3+ 5-  3 11- -2  0  4
Curve Equation t Generators 116325m1 [0,0,1,270,-169] 1 [21:121:1]
116325n (1 curve)	0	3+ 5- 11- 47-	0 3+ 5- -3 11-  2  0  4
Curve Equation t 116325n1 [0,0,1,6750,-21094] 1
116325o (1 curve)	0	3- 5+ 11+ 47+	0 3- 5+  2 11+ -1  4 -2
Curve Equation t 116325o1 [0,0,1,-27450,-1755844] 1
116325p (1 curve)	0	3- 5+ 11+ 47+	0 3- 5+  2 11+  2  4  4
Curve Equation t 116325p1 [0,0,1,-3600,86906] 1
116325q (6 curves)	0	3- 5+ 11+ 47+	-1 3- 5+  0 11+ -6  2  4
Curve Equation t 116325q1 [1,-1,1,174370,-400775628] 2 116325q2 [1,-1,1,-7206755,-7206172878] 4 116325q3 [1,-1,1,-18232880,20138617122] 4 116325q4 [1,-1,1,-114278630,-470184960378] 2 116325q5 [1,-1,1,51376495,136943148372] 2 116325q6 [1,-1,1,-264260255,1653268332372] 2
116325r (2 curves)	2	3- 5+ 11+ 47+	-1 3- 5+ -2 11+ -6 -2 -2
Curve Equation t Generators 116325r1 [1,-1,1,-2480,-2478] 2 [-46:135:1]&[-21:210:1] 116325r2 [1,-1,1,9895,-27228] 2 [9:245:1]&[14:330:1]
116325s (1 curve)	2	3- 5+ 11+ 47+	-2 3- 5+  2 11+ -1  0  0
Curve Equation t Generators 116325s1 [0,0,1,2175,298656] 1 [-55:112:1]&[120:1512:1]
116325t (1 curve)	1	3- 5+ 11+ 47-	0 3- 5+  2 11+ -3  0  2
Curve Equation t Generators 116325t1 [0,0,1,-5076300,5848582531] 1 [16495:2100037:1]
116325u (4 curves)	1	3- 5+ 11+ 47-	-1 3- 5+  0 11+ -2  2  4
Curve Equation t Generators 116325u1 [1,-1,1,5395,-49228] 2 [58:646:1] 116325u2 [1,-1,1,-22730,-386728] 4 [-86:1005:1] 116325u3 [1,-1,1,-208355,36367022] 2 [318:1321:1] 116325u4 [1,-1,1,-287105,-59077978] 2 [675:7033:1]
116325v (1 curve)	1	3- 5+ 11+ 47-	-1 3- 5+ -1 11+  3 -6 -2
Curve Equation t Generators 116325v1 [1,-1,1,-861755,624265872] 1 [-496:30735:1]
116325w (2 curves)	1	3- 5+ 11+ 47-	-1 3- 5+  2 11+  6  6  2
Curve Equation t Generators 116325w1 [1,-1,1,-643730,179352272] 2 [159:8920:1] 116325w2 [1,-1,1,853645,889108022] 2 [14582:730205:8]
116325x (1 curve)	1	3- 5+ 11+ 47-	2 3- 5+ -1 11+ -6  6 -4
Curve Equation t Generators 116325x1 [0,0,1,-2175825,-2117670219] 1 [218844270401095162:24879030288461077235:16702615804328]
116325y (1 curve)	1	3- 5+ 11+ 47-	2 3- 5+  2 11+  0 -6  8
Curve Equation t Generators 116325y1 [0,0,1,-11775,13095531] 1 [532774254:39410282339:97336]
116325z (1 curve)	1	3- 5+ 11- 47+	1 3- 5+ -3 11- -5 -2 -6
Curve Equation t Generators 116325z1 [1,-1,0,-792,56241] 1 [24:-237:1]
116325ba (1 curve)	0	3- 5+ 11- 47-	2 3- 5+ -4 11-  0  0  2
Curve Equation t 116325ba1 [0,0,1,8025,-30969] 1
116325bb (1 curve)	2	3- 5+ 11- 47-	-2 3- 5+ -5 11- -6  2 -4
Curve Equation t Generators 116325bb1 [0,0,1,12075,1653156] 1 [-10:-1238:1]&[-76:544:1]
116325bc (1 curve)	2	3- 5+ 11- 47-	-2 3- 5+ -5 11- -7  0  5
Curve Equation t Generators 116325bc1 [0,0,1,-162435,25257226] 1 [181:1336:1]&[-281:6979:1]
116325bd (2 curves)	1	3- 5- 11+ 47+	1 3- 5- -2 11+  2  6  4
Curve Equation t Generators 116325bd1 [1,-1,0,-30672,91611] 2 [-858:12129:8] 116325bd2 [1,-1,0,-330147,-72680814] 2 [-320210:515213:1000]
116325be (2 curves)	0	3- 5- 11+ 47-	-1 3- 5-  2 11+ -2 -6  4
Curve Equation t 116325be1 [1,-1,1,-766805,10684572] 2 116325be2 [1,-1,1,-8253680,-9093355428] 2
116325bf (2 curves)	2	3- 5- 11- 47+	1 3- 5- -4 11- -6 -6  4
Curve Equation t Generators 116325bf1 [1,-1,0,-9117,-1657584] 2 [180:1494:1]&[1902:23799:8] 116325bf2 [1,-1,0,-273492,-54796959] 2 [-312:453:1]&[6414:120939:8]
116325bg (2 curves)	0	3- 5- 11- 47+	-1 3- 5-  2 11-  6  2  0
Curve Equation t 116325bg1 [1,-1,1,-7430,-65428] 2 116325bg2 [1,-1,1,-69305,6988322] 2
116325bh (1 curve)	0	3- 5- 11- 47+	2 3- 5-  5 11-  7  0  5
Curve Equation t 116325bh1 [0,0,1,-4060875,3157153281] 1
116325bi (1 curve)	2	3- 5- 11- 47+	-2 3- 5- -1 11-  0  0 -8
Curve Equation t Generators 116325bi1 [0,0,1,-4845,129906] 1 [-61:445:1]&[20:202:1]
116325bj (2 curves)	1	3- 5- 11- 47-	1 3- 5- -2 11- -6 -2  0
Curve Equation t Generators 116325bj1 [1,-1,0,-297,-464] 2 [-18:119:8] 116325bj2 [1,-1,0,-2772,56461] 2 [44:-157:1]
116325bk (2 curves)	1	3- 5- 11- 47-	-1 3- 5-  4 11-  6  6  4
Curve Equation t Generators 116325bk1 [1,-1,1,-365,-13188] 2 [78:615:1] 116325bk2 [1,-1,1,-10940,-436188] 2 [-60:68:1]
116325bl (1 curve)	1	3- 5- 11- 47-	2 3- 5-  1 11-  0  0 -8
Curve Equation t Generators 116325bl1 [0,0,1,-121125,16238281] 1 [30500:522843:64]

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

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