Cremona's table of elliptic curves

770 = 2 · 5 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
770a (2 curves)	0	2+ 5+ 7- 11+	2+  2 5+ 7- 11+  2  2  6
Curve Equation t 770a1 [1,1,0,-3,-7] 2 770a2 [1,1,0,-73,-273] 2
770b (4 curves)	0	2+ 5+ 7- 11+	2+ -2 5+ 7- 11+  2 -6  2
Curve Equation t 770b1 [1,0,1,-914,10596] 6 770b2 [1,0,1,-14634,680132] 6 770b3 [1,0,1,2271,56852] 2 770b4 [1,0,1,-15649,580116] 2
770c (4 curves)	0	2+ 5- 7+ 11+	2+  0 5- 7+ 11+  2  6  4
Curve Equation t 770c1 [1,-1,0,-12089,-612755] 2 770c2 [1,-1,0,-204169,-35456067] 4 770c3 [1,-1,0,-3266669,-2271693567] 2 770c4 [1,-1,0,-214949,-31495495] 4
770d (2 curves)	1	2+ 5- 7+ 11-	2+ -2 5- 7+ 11-  0  0  0
Curve Equation t Generators 770d1 [1,0,1,32,558] 2 [4:25:1] 770d2 [1,0,1,-848,9006] 2 [5:67:1]
770e (4 curves)	1	2+ 5- 7- 11+	2+  0 5- 7- 11+ -6 -2 -4
Curve Equation t Generators 770e1 [1,-1,0,-29,-635] 2 [19:64:1] 770e2 [1,-1,0,-1309,-17787] 4 [-21:21:1] 770e3 [1,-1,0,-20909,-1158507] 2 [189:1176:1] 770e4 [1,-1,0,-2189,9845] 4 [-41:192:1]
770f (4 curves)	1	2- 5+ 7- 11+	2- -2 5+ 7- 11+ -4  0 -4
Curve Equation t Generators 770f1 [1,0,0,-56,3136] 6 [-14:42:1] 770f2 [1,0,0,-3576,81280] 6 [-54:370:1] 770f3 [1,0,0,504,-84560] 2 [58:346:1] 770f4 [1,0,0,-26116,-1580604] 2 [-96:258:1]
770g (4 curves)	0	2- 5- 7- 11+	2- -2 5- 7- 11+  2  6  2
Curve Equation t 770g1 [1,0,0,10,100] 6 770g2 [1,0,0,-270,1612] 6 770g3 [1,0,0,-90,-2720] 2 770g4 [1,0,0,-3520,-80238] 2

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

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