Cremona's table of elliptic curves

18696 = 2³ · 3 · 19 · 41

Class	r	Atkin-Lehner	Eigenvalues
18696a (1 curve)	0	2+ 3+ 19- 41+	2+ 3+ -2  2  3  2  0 19-
Curve Equation t 18696a1 [0,-1,0,-24,-180] 1
18696b (2 curves)	1	2+ 3+ 19- 41-	2+ 3+  0  0  0 -2  4 19-
Curve Equation t Generators 18696b1 [0,-1,0,-1648,25948] 2 [-46:48:1] 18696b2 [0,-1,0,-3288,-32436] 2 [82698:8407557:8]
18696c (2 curves)	1	2+ 3- 19+ 41-	2+ 3-  0 -4  0  6 -4 19+
Curve Equation t Generators 18696c1 [0,1,0,-128,-336] 2 [-276:80:27] 18696c2 [0,1,0,-1768,-29200] 2 [25450:1435545:8]
18696d (2 curves)	0	2+ 3- 19- 41-	2+ 3- -2  0  0  4  0 19-
Curve Equation t 18696d1 [0,1,0,-124604,-16971168] 2 18696d2 [0,1,0,-123784,-17204704] 2
18696e (2 curves)	1	2- 3+ 19- 41+	2- 3+ -2  0  4  4 -4 19-
Curve Equation t Generators 18696e1 [0,-1,0,-463684,-100233500] 2 [-492:2926:1] 18696e2 [0,-1,0,914736,-583783236] 2 [861410:22227492:1331]
18696f (4 curves)	0	2- 3+ 19- 41-	2- 3+ -2  4  4 -6 -6 19-
Curve Equation t 18696f1 [0,-1,0,-44404,3616324] 4 18696f2 [0,-1,0,-44424,3612924] 4 18696f3 [0,-1,0,-59184,1021068] 2 18696f4 [0,-1,0,-29984,5986860] 2

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

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