Cremona's table of elliptic curves

77050 = 2 · 5² · 23 · 67

Class	r	Atkin-Lehner	Eigenvalues
77050a (1 curve)	1	2+ 5+ 23+ 67+	2+  0 5+ -3  3 -5  2  1
Curve Equation t Generators 77050a1 [1,-1,0,-2147,-36459] 1 [-25:46:1]
77050b (1 curve)	0	2+ 5+ 23+ 67-	2+  2 5+  1 -3  1 -2 -5
Curve Equation t 77050b1 [1,1,0,-130325,-3497875] 1
77050c (1 curve)	0	2+ 5+ 23+ 67-	2+  2 5+  3 -3  2  8 -8
Curve Equation t 77050c1 [1,1,0,-685750,220156500] 1
77050d (1 curve)	0	2+ 5+ 23+ 67-	2+  2 5+ -3 -3  5  2 -5
Curve Equation t 77050d1 [1,1,0,-54810,-4961260] 1
77050e (1 curve)	0	2+ 5+ 23+ 67-	2+  3 5+ -4 -2  2  6 -3
Curve Equation t 77050e1 [1,-1,0,458,116] 1
77050f (1 curve)	1	2+ 5+ 23- 67-	2+  0 5+  1 -3  1 -4 -5
Curve Equation t Generators 77050f1 [1,-1,0,-6992,-113584] 1 [-20:144:1]
77050g (1 curve)	2	2+ 5- 23+ 67+	2+ -2 5-  0  0 -2 -7  7
Curve Equation t Generators 77050g1 [1,0,1,-101,7248] 1 [-18:66:1]&[-13:86:1]
77050h (2 curves)	1	2+ 5- 23+ 67-	2+ -2 5-  2  0 -4 -3 -1
Curve Equation t Generators 77050h1 [1,0,1,-236701,44331048] 3 [-217:9354:1] 77050h2 [1,0,1,223924,187292298] 1 [-2681:4673297:343]
77050i (1 curve)	1	2+ 5- 23- 67+	2+  0 5-  1  1  5 -6 -1
Curve Equation t Generators 77050i1 [1,-1,0,-2182742,-1218210584] 1 [5643:404773:1]
77050j (1 curve)	1	2+ 5- 23- 67+	2+  0 5- -3  1  1 -2 -1
Curve Equation t Generators 77050j1 [1,-1,0,-12992,572916] 1 [119:-897:1]
77050k (1 curve)	0	2+ 5- 23- 67-	2+ -2 5-  4  3 -1  0 -6
Curve Equation t 77050k1 [1,0,1,4623424,282870798] 1
77050l (1 curve)	0	2- 5+ 23+ 67+	2-  2 5+ -4  3  1  0 -6
Curve Equation t 77050l1 [1,1,1,184937,2336941] 1
77050m (1 curve)	1	2- 5+ 23+ 67-	2-  0 5+ -1  1 -5  6 -1
Curve Equation t Generators 77050m1 [1,-1,1,-87310,-9728223] 1 [-23595:12189:125]
77050n (1 curve)	1	2- 5+ 23+ 67-	2-  0 5+  3  1 -1  2 -1
Curve Equation t Generators 77050n1 [1,-1,1,-520,4687] 1 [13:-5:1]
77050o (2 curves)	1	2- 5+ 23- 67+	2-  2 5+ -2  0  4  3 -1
Curve Equation t Generators 77050o1 [1,1,1,-9468,350861] 1 [39:187:1] 77050o2 [1,1,1,8957,1501921] 1 [-29:1118:1]
77050p (1 curve)	0	2- 5+ 23- 67-	2-  2 5+  0  0  2  7  7
Curve Equation t 77050p1 [1,1,1,-2513,906031] 1
77050q (1 curve)	2	2- 5+ 23- 67-	2- -2 5+ -3 -1 -2  0 -8
Curve Equation t Generators 77050q1 [1,0,0,1662,-11708] 1 [62:544:1]&[12:94:1]
77050r (1 curve)	1	2- 5- 23+ 67+	2-  0 5- -1 -3 -1  4 -5
Curve Equation t Generators 77050r1 [1,-1,1,-280,-853] 1 [23:55:1]
77050s (1 curve)	2	2- 5- 23- 67+	2- -2 5- -1 -3 -1  2 -5
Curve Equation t Generators 77050s1 [1,0,0,-5213,-27983] 1 [-68:149:1]&[-48:359:1]
77050t (1 curve)	2	2- 5- 23- 67+	2- -2 5-  3 -3 -5 -2 -5
Curve Equation t Generators 77050t1 [1,0,0,-1370263,-617416983] 1 [-682:405:1]&[-674:605:1]
77050u (1 curve)	1	2- 5- 23- 67-	2-  0 5-  3  3  5 -2  1
Curve Equation t Generators 77050u1 [1,-1,1,-53680,-4611053] 1 [-131:-335:1]

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