Cremona's table of elliptic curves

3400 = 2³ · 5² · 17

Class	r	Atkin-Lehner	Eigenvalues
3400a (4 curves)	1	2+ 5+ 17+	2+  0 5+  0  0  2 17+ -4
Curve Equation t Generators 3400a1 [0,0,0,-3575,82250] 2 [-65:200:1] 3400a2 [0,0,0,-4075,57750] 4 [-66:198:1] 3400a3 [0,0,0,-29075,-1867250] 2 [-142846:173538:1331] 3400a4 [0,0,0,12925,414750] 2 [-17514:219142:729]
3400b (1 curve)	1	2+ 5+ 17+	2+  1 5+ -2  4  1 17+ -1
Curve Equation t Generators 3400b1 [0,1,0,-8,-2512] 1 [23:100:1]
3400c (2 curves)	1	2+ 5+ 17+	2+  2 5+  2 -6 -2 17+  0
Curve Equation t Generators 3400c1 [0,-1,0,-108,212] 2 [-7:24:1] 3400c2 [0,-1,0,392,1212] 2 [42:300:1]
3400d (2 curves)	1	2+ 5+ 17+	2+ -2 5+ -2 -2 -2 17+  8
Curve Equation t Generators 3400d1 [0,1,0,-88508,-10164512] 2 [143304:1747600:343] 3400d2 [0,1,0,-88008,-10284512] 2 [588:11900:1]
3400e (2 curves)	0	2+ 5+ 17-	2+ -2 5+  0  2  6 17-  4
Curve Equation t 3400e1 [0,1,0,-208,-912] 2 3400e2 [0,1,0,-1208,15088] 2
3400f (1 curve)	0	2+ 5- 17+	2+ -1 5- -4  2 -5 17+ -7
Curve Equation t 3400f1 [0,-1,0,-13208,-617588] 1
3400g (1 curve)	0	2- 5- 17-	2-  1 5-  4  2  5 17- -7
Curve Equation t 3400g1 [0,1,0,-528,-5152] 1

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

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