Cremona's table of elliptic curves

18126 = 2 · 3² · 19 · 53

Class	r	Atkin-Lehner	Eigenvalues
18126a (2 curves)	2	2+ 3+ 19- 53+	2+ 3+ -4  0 -4  4 -4 19-
Curve Equation t Generators 18126a1 [1,-1,0,-2904,11564] 2 [-46:238:1]&[-23:268:1] 18126a2 [1,-1,0,11406,83114] 2 [5:372:1]&[83:1222:1]
18126b (1 curve)	1	2+ 3+ 19- 53-	2+ 3+  3  1 -2  0  0 19-
Curve Equation t Generators 18126b1 [1,-1,0,-258,1412] 1 [-8:58:1]
18126c (1 curve)	0	2+ 3- 19+ 53+	2+ 3- -2  1  0  1 -3 19+
Curve Equation t 18126c1 [1,-1,0,-3043233,2044149885] 1
18126d (2 curves)	0	2+ 3- 19+ 53+	2+ 3- -2  4  0  4  6 19+
Curve Equation t 18126d1 [1,-1,0,117,-891] 2 18126d2 [1,-1,0,-963,-9315] 2
18126e (1 curve)	1	2+ 3- 19+ 53-	2+ 3- -1 -2  5  2  5 19+
Curve Equation t Generators 18126e1 [1,-1,0,-315,9477] 1 [9:81:1]
18126f (1 curve)	1	2+ 3- 19- 53+	2+ 3- -2 -1  2  3 -5 19-
Curve Equation t Generators 18126f1 [1,-1,0,-108,-410] 1 [17:41:1]
18126g (2 curves)	1	2+ 3- 19- 53+	2+ 3- -2 -4 -4  0 -2 19-
Curve Equation t Generators 18126g1 [1,-1,0,-2403,58261] 2 [23:110:1] 18126g2 [1,-1,0,-41283,3238645] 2 [77:677:1]
18126h (2 curves)	2	2+ 3- 19- 53-	2+ 3- -3 -1  0 -4 -6 19-
Curve Equation t Generators 18126h1 [1,-1,0,-2151,-37827] 1 [-27:18:1]&[-26:17:1] 18126h2 [1,-1,0,-8091,242433] 3 [-99:306:1]&[-68:723:1]
18126i (1 curve)	1	2- 3+ 19- 53+	2- 3+ -3  1  2  0  0 19-
Curve Equation t Generators 18126i1 [1,-1,1,-29,-43] 1 [-3:4:1]
18126j (2 curves)	0	2- 3+ 19- 53-	2- 3+  4  0  4  4  4 19-
Curve Equation t 18126j1 [1,-1,1,-323,-321] 2 18126j2 [1,-1,1,1267,-3501] 2
18126k (1 curve)	1	2- 3- 19+ 53+	2- 3-  1  1  0 -2  0 19+
Curve Equation t Generators 18126k1 [1,-1,1,-27842,-1775743] 1 [-99:103:1]
18126l (2 curves)	0	2- 3- 19+ 53-	2- 3-  0  0 -2  6 -6 19+
Curve Equation t 18126l1 [1,-1,1,-1392170,632594009] 2 18126l2 [1,-1,1,-1382630,641683721] 2
18126m (1 curve)	0	2- 3- 19+ 53-	2- 3-  3 -3  4 -6  0 19+
Curve Equation t 18126m1 [1,-1,1,-401,-2707] 1
18126n (1 curve)	0	2- 3- 19- 53+	2- 3-  2  1  4  5 -3 19-
Curve Equation t 18126n1 [1,-1,1,-25574,-1572267] 1
18126o (1 curve)	0	2- 3- 19- 53+	2- 3-  3 -2 -1  0 -3 19-
Curve Equation t 18126o1 [1,-1,1,-176,-4867] 1
18126p (2 curves)	0	2- 3- 19- 53+	2- 3- -3  2 -3  2 -3 19-
Curve Equation t 18126p1 [1,-1,1,-1321889,-605374351] 1 18126p2 [1,-1,1,6598696,-1784189221] 3
18126q (1 curve)	1	2- 3- 19- 53-	2- 3-  1 -1  0  4  2 19-
Curve Equation t Generators 18126q1 [1,-1,1,-68432,6893363] 1 [93:1105:1]
18126r (1 curve)	1	2- 3- 19- 53-	2- 3-  1 -3  4 -2  4 19-
Curve Equation t Generators 18126r1 [1,-1,1,-5702,103893] 1 [-37:531:1]
18126s (2 curves)	1	2- 3- 19- 53-	2- 3- -2  0 -2  4 -2 19-
Curve Equation t Generators 18126s1 [1,-1,1,-55076,3233607] 2 [-91:2781:1] 18126s2 [1,-1,1,-360356,-80779449] 2 [-303:873:1]
18126t (4 curves)	1	2- 3- 19- 53-	2- 3- -2  0  4 -2 -2 19-
Curve Equation t Generators 18126t1 [1,-1,1,-491711,-197306265] 2 [1235:32214:1] 18126t2 [1,-1,1,-8889791,-10197739929] 4 [5609:338340:1] 18126t3 [1,-1,1,-142228751,-652838191545] 2 [17921:1589034:1] 18126t4 [1,-1,1,-9920111,-7685819769] 4 [116357:39617754:1]
18126u (1 curve)	1	2- 3- 19- 53-	2- 3- -2  3 -2  1 -5 19-
Curve Equation t Generators 18126u1 [1,-1,1,3019,-31539] 1 [191:2640:1]

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