Cremona's table of elliptic curves

84249 = 3² · 11 · 23 · 37

Class	r	Atkin-Lehner	Eigenvalues
84249a (2 curves)	2	3+ 11+ 23- 37+	1 3+  0  0 11+ -4  2 -4
Curve Equation t Generators 84249a1 [1,-1,0,-42,79] 2 [-50:91:8]&[70:109:8] 84249a2 [1,-1,0,123,442] 2 [6:-40:1]&[3156:21013:64]
84249b (2 curves)	2	3+ 11- 23+ 37+	-1 3+  0  0 11- -4 -2 -4
Curve Equation t Generators 84249b1 [1,-1,1,-380,-1754] 2 [-16:13:1]&[44:233:1] 84249b2 [1,-1,1,1105,-13040] 2 [11:13:1]&[20:119:1]
84249c (1 curve)	0	3- 11+ 23+ 37+	2 3-  2  1 11+ -6 -1 -6
Curve Equation t 84249c1 [0,0,1,321,913] 1
84249d (2 curves)	1	3- 11+ 23- 37+	1 3-  2 -4 11+ -6 -8 -2
Curve Equation t Generators 84249d1 [1,-1,0,-25704261,-50153363568] 2 [-442299079342932:212136206620386:151163900783] 84249d2 [1,-1,0,-25802676,-49749881751] 2 [-1031520:-8175621:343]
84249e (2 curves)	0	3- 11+ 23- 37-	0 3- -3  2 11+  2  3 -7
Curve Equation t 84249e1 [0,0,1,-2894574,-2444817780] 1 84249e2 [0,0,1,22141536,25415760735] 3
84249f (2 curves)	2	3- 11+ 23- 37-	-1 3- -2 -2 11+ -4 -4  0
Curve Equation t Generators 84249f1 [1,-1,1,-446,3660] 2 [-22:60:1]&[0:60:1] 84249f2 [1,-1,1,49,10986] 2 [-19:63:1]&[-12:98:1]
84249g (1 curve)	1	3- 11- 23+ 37+	0 3-  0  3 11-  6 -1  0
Curve Equation t Generators 84249g1 [0,0,1,-128280,-33103197] 1 [5974059585049891:861235250109494504:287365339799]
84249h (1 curve)	0	3- 11- 23- 37+	1 3-  0  5 11- -4 -2 -6
Curve Equation t 84249h1 [1,-1,0,-1078317,-430722198] 1
84249i (2 curves)	1	3- 11- 23- 37-	0 3-  0 -1 11-  2 -3 -4
Curve Equation t Generators 84249i1 [0,0,1,-210,24192] 1 [62:499:1] 84249i2 [0,0,1,-70140,7150059] 3 [-2366:11381:8]

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

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