Cremona's table of elliptic curves

24225 = 3 · 5² · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
24225a (4 curves)	1	3+ 5+ 17+ 19+	-1 3+ 5+ -4 -4  2 17+ 19+
Curve Equation t Generators 24225a1 [1,1,1,-113563,-14777344] 2 [2830:148047:1] 24225a2 [1,1,1,-113688,-14743344] 4 [-186:197:1] 24225a3 [1,1,1,-56313,-29546094] 2 [11289:-1204887:1] 24225a4 [1,1,1,-173063,2237906] 2 [770:-18448:1]
24225b (4 curves)	0	3+ 5+ 17+ 19-	1 3+ 5+  4  0  2 17+ 19-
Curve Equation t 24225b1 [1,1,0,-164375,25554000] 2 24225b2 [1,1,0,-209500,10346875] 4 24225b3 [1,1,0,799875,82012500] 2 24225b4 [1,1,0,-1940875,-1033672250] 2
24225c (2 curves)	0	3+ 5+ 17- 19+	1 3+ 5+ -2  2  0 17- 19+
Curve Equation t 24225c1 [1,1,0,5500,10360875] 2 24225c2 [1,1,0,-680875,211468750] 2
24225d (2 curves)	2	3+ 5+ 17- 19+	-1 3+ 5+ -2  2 -2 17- 19+
Curve Equation t Generators 24225d1 [1,1,1,-238,-94] 2 [-122:189:8]&[-10:42:1] 24225d2 [1,1,1,-2613,-52344] 2 [-30:27:1]&[-29:23:1]
24225e (2 curves)	1	3+ 5+ 17- 19-	1 3+ 5+ -2 -2  2 17- 19-
Curve Equation t Generators 24225e1 [1,1,0,-2150,-38625] 2 [-202:253:8] 24225e2 [1,1,0,-4525,58750] 2 [90:-670:1]
24225f (1 curve)	1	3+ 5+ 17- 19-	-2 3+ 5+ -4  0  0 17- 19-
Curve Equation t Generators 24225f1 [0,-1,1,-18,668] 1 [18:76:1]
24225g (1 curve)	2	3+ 5- 17+ 19+	-2 3+ 5- -2 -2  0 17+ 19+
Curve Equation t Generators 24225g1 [0,-1,1,-8,68] 1 [-4:4:1]&[2:-8:1]
24225h (2 curves)	1	3+ 5- 17+ 19-	1 3+ 5- -4  2  0 17+ 19-
Curve Equation t Generators 24225h1 [1,1,0,85,0] 2 [16:68:1] 24225h2 [1,1,0,-340,-425] 2 [-6:41:1]
24225i (1 curve)	2	3+ 5- 17- 19-	0 3+ 5- -4 -4 -2 17- 19-
Curve Equation t Generators 24225i1 [0,-1,1,-17583,903818] 1 [-112:1206:1]&[192:2137:1]
24225j (1 curve)	1	3- 5+ 17+ 19-	0 3- 5+  4 -4  2 17+ 19-
Curve Equation t Generators 24225j1 [0,1,1,-703,6949] 1 [19:28:1]
24225k (4 curves)	1	3- 5+ 17+ 19-	1 3- 5+ -4  0 -2 17+ 19-
Curve Equation t Generators 24225k1 [1,0,1,-751,-143227] 2 [9006:297593:8] 24225k2 [1,0,1,-45876,-3753227] 4 [27687587:436441546:68921] 24225k3 [1,0,1,-81501,2873023] 2 [2180487300221288:32377433677613629:5253504879104] 24225k4 [1,0,1,-732251,-241238977] 2 [1607:51471:1]
24225l (2 curves)	1	3- 5+ 17- 19+	-1 3- 5+  2 -2 -6 17- 19+
Curve Equation t Generators 24225l1 [1,0,0,-1497505588,22304801430167] 2 [22967:151079:1] 24225l2 [1,0,0,-1497507963,22304727142542] 2 [36597:4045764:1]
24225m (4 curves)	1	3- 5+ 17- 19+	-1 3- 5+ -4  4  6 17- 19+
Curve Equation t Generators 24225m1 [1,0,0,-41088,-3208833] 2 [-117:75:1] 24225m2 [1,0,0,-44213,-2693208] 4 [-149:844:1] 24225m3 [1,0,0,107662,-17121333] 2 [157:1834:1] 24225m4 [1,0,0,-246088,44747417] 4 [1606:14047:8]
24225n (1 curve)	1	3- 5+ 17- 19+	2 3- 5+  2 -2  0 17- 19+
Curve Equation t Generators 24225n1 [0,1,1,-208,8119] 1 [1466:19847:8]
24225o (2 curves)	0	3- 5+ 17- 19-	1 3- 5+  4  0  4 17- 19-
Curve Equation t 24225o1 [1,0,1,-26,1823] 2 24225o2 [1,0,1,-2401,44573] 2
24225p (1 curve)	0	3- 5- 17+ 19-	2 3- 5-  4  0  0 17+ 19-
Curve Equation t 24225p1 [0,1,1,-458,82619] 1
24225q (2 curves)	1	3- 5- 17- 19-	-1 3- 5-  4  2  0 17- 19-
Curve Equation t Generators 24225q1 [1,0,0,2112,-4233] 2 [443:9155:1] 24225q2 [1,0,0,-8513,-36108] 2 [-9:204:1]

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

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