Cremona's table of elliptic curves

97175 = 5² · 13² · 23

Class	r	Atkin-Lehner	Eigenvalues
97175a (1 curve)	1	5+ 13+ 23+	1 -1 5+  4 -4 13+  4 -6
Curve Equation t Generators 97175a1 [1,1,0,-5672150,5197234255] 1 [-2634:44581:1]
97175b (1 curve)	1	5+ 13+ 23+	-1  0 5+  1  1 13+  0  5
Curve Equation t Generators 97175b1 [1,-1,1,-370,1122] 1 [0:33:1]
97175c (1 curve)	1	5+ 13+ 23+	-1 -1 5+ -4  4 13+  4  6
Curve Equation t Generators 97175c1 [1,1,1,-33563,2352696] 1 [106:-42:1]
97175d (1 curve)	1	5+ 13+ 23+	-1 -3 5+  1 -2 13+  3 -4
Curve Equation t Generators 97175d1 [1,-1,1,-115987605,-195684405978] 1 [14834:1153520:1]
97175e (1 curve)	1	5+ 13+ 23+	2  0 5+  1 -2 13+ -3  2
Curve Equation t Generators 97175e1 [0,0,1,29575,-2952219] 1 [1258627578:16157295603:10360232]
97175f (3 curves)	2	5+ 13+ 23-	0  2 5+ -1  0 13+ -3 -2
Curve Equation t Generators 97175f1 [0,-1,1,-2473033,1889234843] 1 [2973:144241:1]&[24708:2015593:64] 97175f2 [0,-1,1,18651967,-17902249532] 1 [1222:81937:1]&[7432:728812:1] 97175f3 [0,-1,1,-374061783,-2831785521407] 1 [188747:81551962:1]&[636281:507305974:1]
97175g (1 curve)	0	5+ 13+ 23-	1 -1 5+  1  6 13+  3  4
Curve Equation t 97175g1 [1,1,0,-52900,3903125] 1
97175h (1 curve)	2	5+ 13+ 23-	1 -1 5+ -2 -4 13+ -8  0
Curve Equation t Generators 97175h1 [1,1,0,7095,725080] 1 [-24:748:1]&[222:7663:8]
97175i (1 curve)	0	5+ 13+ 23-	1  2 5+ -2  0 13+  3 -8
Curve Equation t 97175i1 [1,1,0,75,-1750] 1
97175j (1 curve)	2	5+ 13+ 23-	-1 -1 5+ -1 -2 13+ -5  0
Curve Equation t Generators 97175j1 [1,1,1,-4651813,3859770156] 1 [1250:-338:1]&[330:48422:1]
97175k (1 curve)	2	5+ 13+ 23-	-1 -1 5+  2  4 13+ -8  0
Curve Equation t Generators 97175k1 [1,1,1,42,346] 1 [-4:13:1]&[1951:85228:1]
97175l (1 curve)	0	5+ 13+ 23-	-1  2 5+  2  0 13+  3  8
Curve Equation t 97175l1 [1,1,1,12587,-3907844] 1
97175m (1 curve)	2	5- 13+ 23+	0  0 5- -1 -2 13+ -3  0
Curve Equation t Generators 97175m1 [0,0,1,1690,68656] 1 [-26:84:1]&[130:2531:8]
97175n (1 curve)	0	5- 13+ 23+	1  1 5- -2  4 13+  8  0
Curve Equation t 97175n1 [1,0,1,1049,41173] 1
97175o (1 curve)	2	5- 13+ 23+	1 -1 5- -1 -6 13+  1 -2
Curve Equation t Generators 97175o1 [1,1,0,-9805,-266950] 1 [-610:1995:8]&[-34:186:1]
97175p (1 curve)	0	5- 13+ 23+	-1  1 5-  2 -4 13+  8  0
Curve Equation t 97175p1 [1,0,0,177362,90280267] 1
97175q (1 curve)	2	5- 13+ 23+	-2  2 5- -1  0 13+ -5 -8
Curve Equation t Generators 97175q1 [0,-1,1,-77458,8353568] 1 [117:937:1]&[126:760:1]
97175r (1 curve)	1	5- 13+ 23-	0  0 5-  1 -2 13+  3  0
Curve Equation t Generators 97175r1 [0,0,1,42250,8582031] 1 [-702:16389:8]
97175s (1 curve)	1	5- 13+ 23-	1  0 5- -1  1 13+  0  5
Curve Equation t Generators 97175s1 [1,-1,0,-9242,131041] 1 [-945600:11138599:15625]
97175t (1 curve)	1	5- 13+ 23-	1  1 5-  4  4 13+ -4  6
Curve Equation t Generators 97175t1 [1,0,1,-839076,295765173] 1 [59295:236538:125]
97175u (1 curve)	1	5- 13+ 23-	-1  1 5-  1 -6 13+ -1 -2
Curve Equation t Generators 97175u1 [1,0,0,-245138,-32878483] 1 [677:10224:1]
97175v (1 curve)	1	5- 13+ 23-	-1  1 5- -4 -4 13+ -4 -6
Curve Equation t Generators 97175v1 [1,0,0,-141803763,649937889392] 1 [6877:-3151:1]
97175w (1 curve)	1	5- 13+ 23-	2 -2 5-  1  0 13+  5 -8
Curve Equation t Generators 97175w1 [0,1,1,-3098,65589] 1 [266:165:8]
97175x (1 curve)	1	5- 13- 23+	1 -1 5-  3 -4 13- -3  0
Curve Equation t Generators 97175x1 [1,1,0,-70450,7159625] 1 [160:45:1]
97175y (1 curve)	1	5- 13- 23+	-1 -1 5- -3  4 13- -3  0
Curve Equation t Generators 97175y1 [1,1,1,-11906138,15789226656] 1 [1929:1232:1]
97175z (1 curve)	0	5- 13- 23-	1  1 5-  3  4 13-  3  0
Curve Equation t 97175z1 [1,0,1,-476246,126313813] 1
97175ba (1 curve)	2	5- 13- 23-	-1  1 5- -3 -4 13-  3  0
Curve Equation t Generators 97175ba1 [1,0,0,-2818,57277] 1 [-12:305:1]&[27:19:1]

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

Part of Computational Number Theory
Back to Tables and computations