Cremona's table of elliptic curves

15725 = 5² · 17 · 37

Class	r	Atkin-Lehner	Eigenvalues
15725a (2 curves)	1	5+ 17+ 37+	0 -1 5+  1 -3 -2 17+  2
Curve Equation t Generators 15725a1 [0,-1,1,-655883,-202993707] 1 [17297:2272262:1] 15725a2 [0,-1,1,-53037133,-148650553082] 1 [23933932:2889145722:1331]
15725b (1 curve)	1	5+ 17+ 37+	0  3 5+ -3 -1  0 17+ -2
Curve Equation t Generators 15725b1 [0,0,1,-1000,6031] 1 [-555:3599:27]
15725c (1 curve)	1	5+ 17+ 37+	1  0 5+  1 -5  2 17+  1
Curve Equation t Generators 15725c1 [1,-1,0,-4267,233766] 1 [9954:120462:343]
15725d (4 curves)	1	5+ 17+ 37+	1  0 5+  4  4  2 17+ -8
Curve Equation t Generators 15725d1 [1,-1,0,-698417,-221870384] 2 [-15243867030707359743240158394:-43581680620052444195495853529:32021391452852219211893672] 15725d2 [1,-1,0,-11138542,-14305599009] 4 [2176741366528455319326270727899966747854868093447946:1414832151399081123012438416297986954809295194254992327:5144164760169015752066830597971475915265226379] 15725d3 [1,-1,0,-178216667,-915692083384] 2 [55357846354713470208646669007877140105079733326155139037561225163806936610917085754336498272308251284:35967711702101676824113507038614011765035344413300454538376204286134542691601730762223303703625853373933:130799305666697893998428215842958818595465843639894592084646398465980723550234618119703379966016] 15725d4 [1,-1,0,-11102417,-14403028134] 2 [48903078142651560311142361934:301451713758443100371479990908:12628159995064087775639701]
15725e (1 curve)	2	5+ 17+ 37-	-2 -3 5+ -1 -3 -4 17+  2
Curve Equation t Generators 15725e1 [0,0,1,-5275,145656] 1 [-65:462:1]&[-59:501:1]
15725f (1 curve)	1	5+ 17- 37-	-1  0 5+  1 -5  2 17-  3
Curve Equation t Generators 15725f1 [1,-1,1,270,-1978] 1 [8:21:1]
15725g (1 curve)	1	5+ 17- 37-	2  1 5+  3 -3  4 17- -2
Curve Equation t Generators 15725g1 [0,1,1,-1258,-7731] 1 [-246:421:8]
15725h (2 curves)	0	5- 17+ 37+	1  0 5-  4  0 -2 17+  8
Curve Equation t 15725h1 [1,-1,0,-32,51] 2 15725h2 [1,-1,0,-457,3876] 2
15725i (2 curves)	0	5- 17- 37-	-1  0 5- -4  0  2 17-  8
Curve Equation t 15725i1 [1,-1,1,-805,5572] 2 15725i2 [1,-1,1,-11430,473072] 2

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