Cremona's table of elliptic curves

19188 = 2² · 3² · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
19188a (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1  1  6 13+ -3  4
Curve Equation t 19188a1 [0,0,0,3,-23] 1
19188b (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1 -1  4 13+ -5  0
Curve Equation t 19188b1 [0,0,0,-596457,-177825807] 1
19188c (1 curve)	0	2- 3+ 13+ 41+	2- 3+  1 -4  1 13+  7 -6
Curve Equation t 19188c1 [0,0,0,-13284567,18636572718] 1
19188d (1 curve)	0	2- 3+ 13+ 41+	2- 3+  2 -2 -5 13+ -3  6
Curve Equation t 19188d1 [0,0,0,6696,302292] 1
19188e (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1  1 -6 13+  3  4
Curve Equation t Generators 19188e1 [0,0,0,27,621] 1 [3:27:1]
19188f (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -1 -4 13+  5  0
Curve Equation t Generators 19188f1 [0,0,0,-66273,6586141] 1 [60:1681:1]
19188g (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -1 -4 -1 13+ -7 -6
Curve Equation t Generators 19188g1 [0,0,0,-1476063,-690243434] 1 [-143743706:473208:205379]
19188h (1 curve)	1	2- 3+ 13+ 41-	2- 3+ -2 -2  5 13+  3  6
Curve Equation t Generators 19188h1 [0,0,0,744,-11196] 1 [216:3198:1]
19188i (2 curves)	1	2- 3+ 13- 41+	2- 3+ -3 -4 -3 13- -3  2
Curve Equation t Generators 19188i1 [0,0,0,-1719,27406] 3 [-25:234:1] 19188i2 [0,0,0,-6399,-168426] 1 [-42:162:1]
19188j (2 curves)	0	2- 3+ 13- 41-	2- 3+  3 -4  3 13-  3  2
Curve Equation t 19188j1 [0,0,0,-711,6238] 3 19188j2 [0,0,0,-15471,-739962] 1
19188k (2 curves)	1	2- 3- 13+ 41+	2- 3- -2  4  0 13+  6 -8
Curve Equation t Generators 19188k1 [0,0,0,-1596,24541] 2 [1572:805:64] 19188k2 [0,0,0,-1551,25990] 2 [6:130:1]
19188l (1 curve)	0	2- 3- 13+ 41-	2- 3- -1  2  5 13+ -1 -6
Curve Equation t 19188l1 [0,0,0,-9903,377926] 1
19188m (2 curves)	0	2- 3- 13+ 41-	2- 3-  2  2  2 13+  2  6
Curve Equation t 19188m1 [0,0,0,-11077284,-14190509603] 2 19188m2 [0,0,0,-11044479,-14278735370] 2
19188n (1 curve)	2	2- 3- 13+ 41-	2- 3- -3 -3  2 13+ -3 -4
Curve Equation t Generators 19188n1 [0,0,0,-129,601] 1 [23:99:1]&[-3:31:1]
19188o (1 curve)	0	2- 3- 13+ 41-	2- 3- -4  2 -4 13+  2  0
Curve Equation t 19188o1 [0,0,0,393,5470] 1
19188p (1 curve)	0	2- 3- 13- 41+	2- 3-  0 -2  0 13-  2  4
Curve Equation t 19188p1 [0,0,0,-495,-4266] 1
19188q (1 curve)	2	2- 3- 13- 41+	2- 3- -1 -5 -2 13-  1 -4
Curve Equation t Generators 19188q1 [0,0,0,987,-21179] 1 [101:-1053:1]&[36:247:1]
19188r (1 curve)	1	2- 3- 13- 41-	2- 3- -1  2 -1 13-  1 -6
Curve Equation t Generators 19188r1 [0,0,0,-183,-466] 1 [-5:18:1]
19188s (2 curves)	1	2- 3- 13- 41-	2- 3-  3  2 -3 13- -3  2
Curve Equation t Generators 19188s1 [0,0,0,-329871,53936998] 1 [-13938890:482830956:42875] 19188s2 [0,0,0,-24736791,47354705422] 3 [-2857:307746:1]
19188t (1 curve)	1	2- 3- 13- 41-	2- 3- -3  1  0 13-  5  4
Curve Equation t Generators 19188t1 [0,0,0,231,35089] 1 [-25:117:1]

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

Part of Computational Number Theory
Back to Tables and computations