Cremona's table of elliptic curves

7700 = 2² · 5² · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
7700a (2 curves)	0	2- 5+ 7+ 11+	2- -1 5+ 7+ 11+ -2  3  2
Curve Equation t 7700a1 [0,-1,0,-7708,263912] 1 7700a2 [0,-1,0,17292,1363912] 1
7700b (2 curves)	2	2- 5+ 7+ 11+	2- -2 5+ 7+ 11+ -4 -8 -4
Curve Equation t Generators 7700b1 [0,1,0,-2133,36988] 2 [-53:63:1]&[-27:275:1] 7700b2 [0,1,0,-3508,-18012] 2 [-37:250:1]&[-32:250:1]
7700c (1 curve)	0	2- 5+ 7+ 11+	2- -3 5+ 7+ 11+ -6  5  2
Curve Equation t 7700c1 [0,0,0,-77815,8471710] 1
7700d (4 curves)	1	2- 5+ 7+ 11-	2-  2 5+ 7+ 11-  4  0 -4
Curve Equation t Generators 7700d1 [0,-1,0,-62133,-5388238] 2 [9466:317625:8] 7700d2 [0,-1,0,-228508,36205512] 2 [537:8250:1] 7700d3 [0,-1,0,-4902133,-4175955738] 2 [22266:488775:8] 7700d4 [0,-1,0,-4903508,-4173494488] 2 [67537:17541750:1]
7700e (2 curves)	1	2- 5+ 7+ 11-	2-  2 5+ 7+ 11- -5  3 -1
Curve Equation t Generators 7700e1 [0,-1,0,-1253,17297] 1 [16:33:1] 7700e2 [0,-1,0,-10053,-376063] 1 [-64:33:1]
7700f (1 curve)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+  1 -3  1
Curve Equation t Generators 7700f1 [0,0,0,-69320,-6670540] 1 [-179:49:1]
7700g (2 curves)	1	2- 5+ 7- 11+	2-  0 5+ 7- 11+ -2  6  4
Curve Equation t Generators 7700g1 [0,0,0,200,1125] 2 [171:2244:1] 7700g2 [0,0,0,-1175,10750] 2 [30:50:1]
7700h (1 curve)	0	2- 5+ 7- 11-	2-  1 5+ 7- 11-  4  6 -2
Curve Equation t 7700h1 [0,1,0,-533,5063] 1
7700i (1 curve)	1	2- 5- 7+ 11+	2-  0 5- 7+ 11+ -1  3  1
Curve Equation t Generators 7700i1 [0,0,0,-1733000,-833817500] 1 [-295512:1524202:343]
7700j (2 curves)	0	2- 5- 7- 11+	2-  1 5- 7- 11+  2 -3  2
Curve Equation t 7700j1 [0,1,0,-308,1988] 3 7700j2 [0,1,0,692,11188] 1
7700k (1 curve)	0	2- 5- 7- 11+	2-  3 5- 7- 11+  6 -5  2
Curve Equation t 7700k1 [0,0,0,-1945375,1058963750] 1
7700l (2 curves)	1	2- 5- 7- 11-	2- -2 5- 7- 11-  5 -3 -1
Curve Equation t Generators 7700l1 [0,1,0,-31333,2099463] 3 [-142:1925:1] 7700l2 [0,1,0,-251333,-47510537] 1 [-286:1029:1]

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

Part of Computational Number Theory
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