Cremona's table of elliptic curves

88305 = 3 · 5 · 7 · 29²

Class	r	Atkin-Lehner	Eigenvalues
88305a (4 curves)	1	3+ 5+ 7+ 29+	1 3+ 5+ 7+  4  2 -6  4
Curve Equation t Generators 88305a1 [1,1,0,-17678,-549993] 2 [-73620008:266469779:681472] 88305a2 [1,1,0,-122803,16122832] 4 [13632:1584356:1] 88305a3 [1,1,0,24372,52533927] 2 [-346:1855:1] 88305a4 [1,1,0,-1951978,1048875037] 2 [4106125212:-2179092125:5088448]
88305b (1 curve)	1	3+ 5+ 7+ 29+	-2 3+ 5+ 7+  1 -4  6  4
Curve Equation t Generators 88305b1 [0,-1,1,-166632656,1616417999612] 1 [871131063990:125722772345888:34965783]
88305c (1 curve)	0	3+ 5+ 7+ 29-	-1 3+ 5+ 7+ -4  5  0  1
Curve Equation t 88305c1 [1,1,1,-112291,-14866126] 1
88305d (1 curve)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7- -3 -2 -3  3
Curve Equation t Generators 88305d1 [1,1,1,1351049,-527035126] 1 [2032:-104039:1]
88305e (1 curve)	1	3+ 5+ 7- 29-	-1 3+ 5+ 7-  5 -2  5 -5
Curve Equation t Generators 88305e1 [1,1,1,9041994,1419286128] 1 [14639359675344:2835919974197872:390617891]
88305f (4 curves)	2	3+ 5- 7+ 29+	-1 3+ 5- 7+  0 -2  2 -8
Curve Equation t Generators 88305f1 [1,1,1,-1120650,456151062] 4 [-230:26606:1]&[2150:104593:8] 88305f2 [1,1,1,-1124855,452549900] 4 [-231:26575:1]&[308:11483:1] 88305f3 [1,1,1,-94630,1251180320] 2 [-520:34320:1]&[16300:2072904:1] 88305f4 [1,1,1,-2222360,-576470788] 2 [-1188:20311:1]&[-1013:25736:1]
88305g (1 curve)	2	3+ 5- 7+ 29+	-1 3+ 5- 7+ -3  4 -7 -5
Curve Equation t Generators 88305g1 [1,1,1,-90,3972] 1 [-18:21:1]&[-3:66:1]
88305h (1 curve)	0	3+ 5- 7+ 29+	-1 3+ 5- 7+  4 -3  0 -5
Curve Equation t 88305h1 [1,1,1,-88424860,-5908564148890] 1
88305i (2 curves)	1	3+ 5- 7+ 29-	-1 3+ 5- 7+  6 -2 -6 -2
Curve Equation t Generators 88305i1 [1,1,1,-99560,-11941360] 2 [-172:448:1] 88305i2 [1,1,1,-205265,17698322] 2 [582:-10079:1]
88305j (2 curves)	1	3+ 5- 7- 29+	1 3+ 5- 7-  0  0  4  4
Curve Equation t Generators 88305j1 [1,1,0,-41473932,102628742139] 2 [28534:62733:8] 88305j2 [1,1,0,-28333307,168833839014] 2 [-6842:209466:1]
88305k (4 curves)	1	3+ 5- 7- 29+	-1 3+ 5- 7-  0 -6 -2  8
Curve Equation t Generators 88305k1 [1,1,1,-2120,34712] 2 [4480:7691:125] 88305k2 [1,1,1,-6325,-151990] 4 [-32:153:1] 88305k3 [1,1,1,14700,-925710] 2 [60:390:1] 88305k4 [1,1,1,-94630,-11243098] 2 [104795:2741342:125]
88305l (1 curve)	0	3+ 5- 7- 29-	0 3+ 5- 7-  1  0  6  2
Curve Equation t 88305l1 [0,-1,1,139391265,-21840888994] 1
88305m (1 curve)	0	3- 5+ 7+ 29+	1 3- 5+ 7+  4  5  0 -1
Curve Equation t 88305m1 [1,0,1,-134,-619] 1
88305n (1 curve)	0	3- 5+ 7+ 29+	-2 3- 5+ 7+ -5 -4 -6  8
Curve Equation t 88305n1 [0,1,1,-139886,-20634784] 1
88305o (2 curves)	1	3- 5+ 7- 29+	1 3- 5+ 7-  0  4  8  4
Curve Equation t Generators 88305o1 [1,0,1,-9269,310667] 2 [111556359005:-506520048111:1349232625] 88305o2 [1,0,1,11756,1521707] 2 [500253:8541430:2197]
88305p (1 curve)	1	3- 5+ 7- 29+	1 3- 5+ 7-  3 -2  3 -3
Curve Equation t Generators 88305p1 [1,0,1,1606,-21499] 1 [21:136:1]
88305q (4 curves)	1	3- 5+ 7- 29+	1 3- 5+ 7-  4 -2 -2 -4
Curve Equation t Generators 88305q1 [1,0,1,24371,2248331] 2 [41298:784733:216] 88305q2 [1,0,1,-181674,23841847] 4 [3785628138:15174293657:10941048] 88305q3 [1,0,1,-917549,-317309803] 2 [5069395:1018071723:125] 88305q4 [1,0,1,-2742519,1747802701] 2 [5387012954315693740:-539703229905338946043:528690140056000]
88305r (1 curve)	1	3- 5+ 7- 29+	1 3- 5+ 7- -5 -2 -5  5
Curve Equation t Generators 88305r1 [1,0,1,7604316936,34523717576887] 1 [11240477132857:8345092781180310:629422793]
88305s (1 curve)	1	3- 5+ 7- 29+	-2 3- 5+ 7-  3  4 -6  0
Curve Equation t Generators 88305s1 [0,1,1,-30556,14017780] 1 [425:8830:1]
88305t (8 curves)	1	3- 5- 7+ 29+	1 3- 5- 7+ -4 -2 -2  4
Curve Equation t Generators 88305t1 [1,0,1,-6669148,6628529381] 2 [306356025:-163583662:205379] 88305t2 [1,0,1,-6673353,6619751023] 4 [1369:6395:1] 88305t3 [1,0,1,-4112508,11757830431] 2 [4798280:-459293921:512] 88305t4 [1,0,1,-9301478,919873523] 4 [-335046:23447635:216] 88305t5 [1,0,1,37058647,7354658873] 2 [1137869721186:-133377376868185:279726264] 88305t6 [1,0,1,-97711603,-370296559327] 4 [5706785776171165:-3481760849553950557:15345434125] 88305t7 [1,0,1,-48323878,-744418453747] 2 [397767096149282502846072721259928:-18176636058982029425375478123638747:34110815234477408845213758976] 88305t8 [1,0,1,-1561661328,-23753672726807] 2 [-1020852619255:522670352418:44738875]
88305u (1 curve)	0	3- 5- 7+ 29-	1 3- 5- 7+  3  4  7  5
Curve Equation t 88305u1 [1,0,1,-75708,97785931] 1
88305v (1 curve)	0	3- 5- 7+ 29-	1 3- 5- 7+ -4 -3  0  5
Curve Equation t 88305v1 [1,0,1,-105143,-242270737] 1
88305w (2 curves)	0	3- 5- 7+ 29-	1 3- 5- 7+ -6 -2  6  2
Curve Equation t 88305w1 [1,0,1,-83729978,-290233064977] 2 88305w2 [1,0,1,-172627883,433715914181] 2
88305x (4 curves)	0	3- 5- 7- 29+	-1 3- 5- 7-  0  6  2  0
Curve Equation t 88305x1 [1,0,0,-4951405,2730108152] 4 88305x2 [1,0,0,-32540410,-69426175525] 4 88305x3 [1,0,0,10035215,-238102286650] 2 88305x4 [1,0,0,-516540115,-4518641863708] 2
88305y (1 curve)	1	3- 5- 7- 29-	0 3- 5- 7- -1  0 -6 -2
Curve Equation t Generators 88305y1 [0,1,1,165745,-838369] 1 [2455:-123323:1]

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