Cremona's table of elliptic curves

33135 = 3 · 5 · 47²

Class	r	Atkin-Lehner	Eigenvalues
33135a (8 curves)	0	3+ 5+ 47-	-1 3+ 5+  0  4  2  2 -4
Curve Equation t 33135a1 [1,1,1,-46,-19366] 2 33135a2 [1,1,1,-11091,-447912] 4 33135a3 [1,1,1,-22136,577064] 4 33135a4 [1,1,1,-176766,-28678932] 2 33135a5 [1,1,1,77269,4433978] 2 33135a6 [1,1,1,-298261,62539514] 4 33135a7 [1,1,1,-243036,86485074] 2 33135a8 [1,1,1,-4771486,4009713254] 2
33135b (1 curve)	0	3+ 5+ 47-	-1 3+ 5+  4 -3  0  0  1
Curve Equation t 33135b1 [1,1,1,-6156,-188472] 1
33135c (1 curve)	0	3+ 5+ 47-	-1 3+ 5+ -5 -6 -3 -3  1
Curve Equation t 33135c1 [1,1,1,-265126,-4395165052] 1
33135d (1 curve)	0	3+ 5+ 47-	-2 3+ 5+ -2  2  5  4  0
Curve Equation t 33135d1 [0,-1,1,-2872436,1897300916] 1
33135e (1 curve)	1	3+ 5- 47-	0 3+ 5-  2 -2 -1 -2  6
Curve Equation t Generators 33135e1 [0,-1,1,-12770965,-18054214782] 1 [25059268:2524239769:2197]
33135f (1 curve)	1	3+ 5- 47-	-1 3+ 5-  4  3  0  0 -1
Curve Equation t Generators 33135f1 [1,1,1,-13598650,19295737010] 1 [2123:-792:1]
33135g (1 curve)	1	3+ 5- 47-	-2 3+ 5- -2 -2 -5  4  0
Curve Equation t Generators 33135g1 [0,-1,1,-1300,-17832] 1 [157:1903:1]
33135h (4 curves)	1	3- 5+ 47-	1 3- 5+  0 -4 -2  6  0
Curve Equation t Generators 33135h1 [1,0,1,-811854,-281622773] 2 [12836014976493643377607051514797793485705981281004727855:-5277575335620928195202796114546590269914070951647249709916:76114415158320906187448227893204375733302763021193] 33135h2 [1,0,1,-822899,-273568759] 4 [1066047249902076428434579925563:-876094622075699465896146480510597:1580357447803908651607631] 33135h3 [1,0,1,557726,-1098630259] 2 [979768866114173:-48512079264461642:414660272993] 33135h4 [1,0,1,-2380244,1066993817] 2 [-230851211967072:-46968944686200161:1209992380416]
33135i (1 curve)	1	3- 5+ 47-	1 3- 5+  0  5  4  0 -3
Curve Equation t Generators 33135i1 [1,0,1,-58444,5433017] 1 [115:428:1]
33135j (2 curves)	0	3- 5- 47-	0 3- 5-  2  6 -5  6 -2
Curve Equation t 33135j1 [0,1,1,19145,-1792256] 1 33135j2 [0,1,1,-179665,61369681] 1
33135k (1 curve)	0	3- 5- 47-	1 3- 5-  0 -5 -4  0  3
Curve Equation t 33135k1 [1,0,1,-129101738,-564588556837] 1
33135l (1 curve)	0	3- 5- 47-	1 3- 5- -3  2  1  3  3
Curve Equation t 33135l1 [1,0,1,14312,-72469] 1
33135m (1 curve)	0	3- 5- 47-	-1 3- 5-  1  2  7  1  1
Curve Equation t 33135m1 [1,0,0,-79570,-8727883] 1

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

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