Cremona's table of elliptic curves

784 = 2⁴ · 7²

Class	r	Atkin-Lehner	Eigenvalues
784a (1 curve)	1	2+ 7+	2+  1 -1 7+ -3 -6 -5 -1
Curve Equation t Generators 784a1 [0,1,0,-16,-29] 1 [-3:1:1]
784b (1 curve)	1	2+ 7+	2+ -3 -1 7+  1  2  3 -5
Curve Equation t Generators 784b1 [0,0,0,-343,2401] 1 [0:49:1]
784c (4 curves)	0	2+ 7-	2+  0 -2 7-  4 -2  6  8
Curve Equation t 784c1 [0,0,0,49,686] 2 784c2 [0,0,0,-931,10290] 4 784c3 [0,0,0,-2891,-47334] 2 784c4 [0,0,0,-14651,682570] 4
784d (1 curve)	0	2+ 7-	2+ -1  1 7- -3  6  5  1
Curve Equation t 784d1 [0,-1,0,-800,8359] 1
784e (2 curves)	0	2+ 7-	2+  2  4 7-  0  0  2 -2
Curve Equation t 784e1 [0,-1,0,-16,-1392] 2 784e2 [0,-1,0,-1976,-32752] 2
784f (1 curve)	0	2+ 7-	2+  3  1 7-  1 -2 -3  5
Curve Equation t 784f1 [0,0,0,-7,-7] 1
784g (2 curves)	0	2- 7+	2- -1  3 7+  3  2  3  1
Curve Equation t 784g1 [0,-1,0,-114,127] 1 784g2 [0,-1,0,-6974,226507] 1
784h (4 curves)	1	2- 7-	2-  0  0 7- -4  0  0  0
Curve Equation t Generators 784h1 [0,0,0,-35,98] 2 [1:8:1] 784h2 [0,0,0,-595,5586] 2 [7:42:1] 784h3 [0,0,0,-1715,-33614] 2 [57:232:1] 784h4 [0,0,0,-29155,-1915998] 2 [743:19662:1]
784i (2 curves)	1	2- 7-	2-  1 -3 7-  3 -2 -3 -1
Curve Equation t Generators 784i1 [0,1,0,-2,-1] 1 [-1:1:1] 784i2 [0,1,0,-142,-701] 1 [-195:1:27]
784j (6 curves)	1	2- 7-	2- -2  0 7-  0  4 -6  2
Curve Equation t Generators 784j1 [0,1,0,-408,6292] 2 [-12:98:1] 784j2 [0,1,0,-8248,285396] 2 [44:98:1] 784j3 [0,1,0,3512,-133260] 2 [156:2058:1] 784j4 [0,1,0,-27848,-1475468] 2 [-124:294:1] 784j5 [0,1,0,-133688,-18913196] 2 [548:8526:1] 784j6 [0,1,0,-2140728,-1206278060] 2 [100812:5590214:27]

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

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