Cremona's table of elliptic curves

121605 = 3 · 5 · 11² · 67

Class	r	Atkin-Lehner	Eigenvalues
121605a (1 curve)	2	3+ 5+ 11- 67+	1 3+ 5+  0 11-  0  6  3
Curve Equation t Generators 121605a1 [1,1,0,94862,70500643] 1 [-326:2413:1]&[-682:63233:8]
121605b (1 curve)	2	3+ 5+ 11- 67+	-1 3+ 5+  0 11-  0 -6 -3
Curve Equation t Generators 121605b1 [1,1,1,784,-52612] 1 [336:-6356:1]&[366:2099:8]
121605c (2 curves)	0	3+ 5+ 11- 67+	-1 3+ 5+  2 11-  0  4 -8
Curve Equation t 121605c1 [1,1,1,-113561,14681558] 2 121605c2 [1,1,1,-106906,16486394] 2
121605d (1 curve)	0	3+ 5+ 11- 67+	2 3+ 5+ -4 11-  6 -5 -5
Curve Equation t 121605d1 [0,-1,1,17679754,412674382427] 1
121605e (4 curves)	1	3+ 5- 11- 67+	1 3+ 5-  0 11- -2  2 -4
Curve Equation t Generators 121605e1 [1,1,0,-62317,-6008504] 2 [63402:194569:216] 121605e2 [1,1,0,-77442,-2889729] 4 [318764586:935032457:1061208] 121605e3 [1,1,0,288583,-21996234] 2 [72429805537700:-13189271752997683:2197000000] 121605e4 [1,1,0,-685467,216120876] 2 [-940:6036:1]
121605f (4 curves)	1	3+ 5- 11- 67+	1 3+ 5- -4 11-  6 -6 -4
Curve Equation t Generators 121605f1 [1,1,0,-17547,-713544] 2 [152:324:1] 121605f2 [1,1,0,-90752,9871899] 4 [-106:26673:8] 121605f3 [1,1,0,75623,42181924] 2 [1654:64513:8] 121605f4 [1,1,0,-1428407,656494326] 4 [-1314:16992:1]
121605g (2 curves)	1	3+ 5- 11- 67+	-1 3+ 5-  0 11- -4  4 -4
Curve Equation t Generators 121605g1 [1,1,1,-36000,2407560] 2 [-192:1608:1] 121605g2 [1,1,1,39625,11270810] 2 [-137:1883:1]
121605h (1 curve)	1	3- 5+ 11- 67+	0 3- 5+  0 11-  4 -3  3
Curve Equation t Generators 121605h1 [0,1,1,-3351,230555] 1 [99:937:1]
121605i (1 curve)	1	3- 5+ 11- 67+	0 3- 5+  0 11- -4  3 -3
Curve Equation t Generators 121605i1 [0,1,1,-405511,-308491034] 1 [32506:2041871:8]
121605j (1 curve)	1	3- 5+ 11- 67+	2 3- 5+  4 11-  6  3 -1
Curve Equation t Generators 121605j1 [0,1,1,-51586,-4593605] 1 [4282:88151:8]
121605k (2 curves)	2	3- 5+ 11- 67-	0 3- 5+ -2 11- -2  3  1
Curve Equation t Generators 121605k1 [0,1,1,28879,-277414] 1 [122:3263:8]&[22:607:1] 121605k2 [0,1,1,-363161,92920295] 1 [667:12160:1]&[-341:13312:1]
121605l (2 curves)	0	3- 5+ 11- 67-	1 3- 5+  2 11- -6  6  4
Curve Equation t 121605l1 [1,0,1,-6779,-154519] 2 121605l2 [1,0,1,-40054,2960021] 2
121605m (2 curves)	0	3- 5- 11- 67+	-1 3- 5- -2 11-  2 -2  4
Curve Equation t 121605m1 [1,0,0,-2725,22232] 2 121605m2 [1,0,0,-36000,2624337] 2

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

Part of Computational Number Theory
Back to Tables and computations