Cremona's table of elliptic curves

700 = 2² · 5² · 7

Class	r	Atkin-Lehner	Eigenvalues
700a (2 curves)	0	2- 5+ 7+	2- -1 5+ 7+  3  1  3  2
Curve Equation t 700a1 [0,-1,0,-133,-2863] 1 700a2 [0,-1,0,-20133,-1092863] 1
700b (2 curves)	0	2- 5+ 7+	2-  2 5+ 7+  3  4  0  2
Curve Equation t 700b1 [0,-1,0,2,-3] 1 700b2 [0,-1,0,-98,-343] 1
700c (1 curve)	1	2- 5+ 7-	2-  0 5+ 7- -5 -6  4 -6
Curve Equation t Generators 700c1 [0,0,0,-5,5] 1 [1:1:1]
700d (1 curve)	1	2- 5+ 7-	2- -3 5+ 7- -5  3  1  6
Curve Equation t Generators 700d1 [0,0,0,800,26500] 1 [180:-2450:1]
700e (2 curves)	1	2- 5- 7+	2-  0 5- 7+  0 -4 -4  4
Curve Equation t Generators 700e1 [0,0,0,-2000,-34375] 2 [-26:7:1] 700e2 [0,0,0,-1375,-56250] 2 [99:882:1]
700f (1 curve)	1	2- 5- 7+	2-  0 5- 7+ -5  6 -4 -6
Curve Equation t Generators 700f1 [0,0,0,-125,625] 1 [0:25:1]
700g (1 curve)	1	2- 5- 7+	2- -3 5- 7+  3 -1  5 -8
Curve Equation t Generators 700g1 [0,0,0,-40,100] 1 [0:10:1]
700h (2 curves)	0	2- 5- 7-	2-  0 5- 7-  0  4  4  4
Curve Equation t 700h1 [0,0,0,-80,-275] 2 700h2 [0,0,0,-55,-450] 2
700i (2 curves)	0	2- 5- 7-	2- -2 5- 7-  3 -4  0  2
Curve Equation t 700i1 [0,1,0,42,-287] 3 700i2 [0,1,0,-2458,-47787] 1
700j (1 curve)	0	2- 5- 7-	2-  3 5- 7-  3  1 -5 -8
Curve Equation t 700j1 [0,0,0,-1000,12500] 1

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

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