Cremona's table of elliptic curves

68265 = 3² · 5 · 37 · 41

Class	r	Atkin-Lehner	Eigenvalues
68265a (1 curve)	0	3+ 5+ 37- 41+	0 3+ 5+  5 -4  4  2  7
Curve Equation t 68265a1 [0,0,1,-36288,-2880197] 1
68265b (1 curve)	0	3+ 5- 37- 41-	0 3+ 5-  5  4  4 -2  7
Curve Equation t 68265b1 [0,0,1,-326592,77765312] 1
68265c (2 curves)	1	3- 5+ 37+ 41-	-1 3- 5+  2  0  6  2  6
Curve Equation t Generators 68265c1 [1,-1,1,-158,276] 2 [12:-4:1] 68265c2 [1,-1,1,-2003,34962] 2 [36:74:1]
68265d (2 curves)	1	3- 5+ 37+ 41-	-1 3- 5+ -2 -4  6 -6  2
Curve Equation t Generators 68265d1 [1,-1,1,-563,5042] 2 [10:13:1] 68265d2 [1,-1,1,-8888,324722] 2 [55:-24:1]
68265e (1 curve)	1	3- 5+ 37- 41+	0 3- 5+ -3  0 -2 -2  1
Curve Equation t Generators 68265e1 [0,0,1,-48,1768] 1 [4:-41:1]
68265f (4 curves)	1	3- 5+ 37- 41+	1 3- 5+  0  4 -2 -2 -4
Curve Equation t Generators 68265f1 [1,-1,0,-1665,-24080] 2 [44604:456154:343] 68265f2 [1,-1,0,-5310,120991] 4 [510:11141:1] 68265f3 [1,-1,0,11295,715450] 2 [-42:428:1] 68265f4 [1,-1,0,-80235,8767336] 2 [34260:681029:64]
68265g (6 curves)	1	3- 5+ 37- 41+	1 3- 5+  0 -4 -2 -2  4
Curve Equation t Generators 68265g1 [1,-1,0,-524790,-146196545] 2 [46832081912857626:-2091423715179949837:21122996216707] 68265g2 [1,-1,0,-524835,-146170184] 4 [473799480:9187441892:456533] 68265g3 [1,-1,0,-449910,-189431879] 2 [52527754033424670:-1089126740712665551:51122642037544] 68265g4 [1,-1,0,-600480,-101221925] 4 [486990:14734105:343] 68265g5 [1,-1,0,1925325,-732168014] 2 [36846223974:1727908068013:33386248] 68265g6 [1,-1,0,-4336605,3405505000] 2 [5420:370250:1]
68265h (1 curve)	0	3- 5+ 37- 41-	0 3- 5+ -5  0  6 -6 -5
Curve Equation t 68265h1 [0,0,1,-2976708,-2005381062] 1
68265i (2 curves)	1	3- 5- 37+ 41+	1 3- 5-  0 -2  2  6  8
Curve Equation t Generators 68265i1 [1,-1,0,-1179,-12312] 2 [217672:5363240:343] 68265i2 [1,-1,0,2466,-75735] 2 [2536:126447:1]
68265j (2 curves)	1	3- 5- 37+ 41+	1 3- 5-  2  6 -6 -2 -6
Curve Equation t Generators 68265j1 [1,-1,0,-8649,244768] 2 [-48:764:1] 68265j2 [1,-1,0,19476,1487893] 2 [2446:46747:8]
68265k (1 curve)	1	3- 5- 37+ 41+	-2 3- 5- -4  0  3  4 -6
Curve Equation t Generators 68265k1 [0,0,1,-23727,1406740] 1 [100:184:1]
68265l (4 curves)	0	3- 5- 37- 41+	-1 3- 5-  0 -4  2 -2 -4
Curve Equation t 68265l1 [1,-1,1,-1102757,-541564644] 2 68265l2 [1,-1,1,-18680882,-31071252144] 4 68265l3 [1,-1,1,-19721507,-27415328394] 2 68265l4 [1,-1,1,-298890257,-1988838113394] 2
68265m (2 curves)	1	3- 5- 37- 41-	1 3- 5-  0  4 -6  6 -4
Curve Equation t Generators 68265m1 [1,-1,0,-3846339,-2902522712] 2 [704404104396264:59556560156926840:90579342771] 68265m2 [1,-1,0,-3844494,-2905447775] 2 [22380336:3901913441:729]

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

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