Cremona's table of elliptic curves

22525 = 5² · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
22525a (2 curves)	1	5+ 17+ 53+	-1 -2 5+ -2  6 -2 17+  0
Curve Equation t Generators 22525a1 [1,0,0,-114938,12202867] 2 [41:2729:1] 22525a2 [1,0,0,236187,72245242] 2 [-143:6034:1]
22525b (1 curve)	1	5+ 17+ 53+	2  1 5+ -2  0  7 17+  0
Curve Equation t Generators 22525b1 [0,1,1,-108,-431] 1 [-45126:4285:5832]
22525c (1 curve)	1	5+ 17+ 53+	-2  3 5+  2  0 -1 17+ -4
Curve Equation t Generators 22525c1 [0,0,1,-37675,526156] 1 [-15415605:130687921:91125]
22525d (2 curves)	0	5+ 17+ 53-	0 -1 5+  4  6 -5 17+ -4
Curve Equation t 22525d1 [0,-1,1,-433,1768] 1 22525d2 [0,-1,1,-17433,-880107] 1
22525e (1 curve)	0	5+ 17+ 53-	1  0 5+  1  0 -3 17+  1
Curve Equation t 22525e1 [1,-1,0,-8642,-8623859] 1
22525f (2 curves)	0	5+ 17+ 53-	-1  2 5+  0 -2  6 17+ -6
Curve Equation t 22525f1 [1,1,1,-678088,214637656] 2 22525f2 [1,1,1,-677963,214720906] 2
22525g (2 curves)	1	5+ 17- 53-	1  0 5+ -2 -6 -6 17-  4
Curve Equation t Generators 22525g1 [1,-1,0,-2117,-29584] 2 [-32:84:1] 22525g2 [1,-1,0,4508,-181959] 2 [3662:77219:8]
22525h (2 curves)	1	5+ 17- 53-	1 -2 5+  4  0 -2 17-  0
Curve Equation t Generators 22525h1 [1,0,1,-739951,244930173] 2 [493:-111:1] 22525h2 [1,0,1,-746576,240319173] 2 [1294:88361:8]

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

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