Cremona's table of elliptic curves

20150 = 2 · 5² · 13 · 31

Class	r	Atkin-Lehner	Eigenvalues
20150a (1 curve)	1	2+ 5+ 13+ 31+	2+ -1 5+  3 -4 13+ -3 -4
Curve Equation t Generators 20150a1 [1,1,0,-2425,45125] 1 [29:1:1]
20150b (1 curve)	1	2+ 5+ 13+ 31+	2+  3 5+  3  0 13+ -3 -8
Curve Equation t Generators 20150b1 [1,-1,0,7958,-287884] 1 [4423785:158262692:3375]
20150c (2 curves)	0	2+ 5+ 13+ 31-	2+  1 5+ -3  2 13+ -3  0
Curve Equation t 20150c1 [1,0,1,-352626,80570148] 1 20150c2 [1,0,1,1672124,279678148] 1
20150d (3 curves)	0	2+ 5+ 13+ 31-	2+ -1 5+  1  0 13+ -3  2
Curve Equation t 20150d1 [1,1,0,62775,4925125] 1 20150d2 [1,1,0,-641225,-274434875] 1 20150d3 [1,1,0,-57340225,-167147279875] 1
20150e (1 curve)	2	2+ 5- 13+ 31+	2+  1 5- -2 -5 13+ -1  1
Curve Equation t Generators 20150e1 [1,0,1,-601201,179372548] 1 [302:4886:1]&[458:154:1]
20150f (1 curve)	2	2+ 5- 13+ 31+	2+ -2 5- -2 -5 13+  2 -8
Curve Equation t Generators 20150f1 [1,0,1,-1,48] 1 [-3:6:1]&[-2:7:1]
20150g (2 curves)	1	2+ 5- 13+ 31-	2+  0 5-  4  2 13+ -8 -2
Curve Equation t Generators 20150g1 [1,-1,0,-32867,-2284459] 2 [144138:10452431:27] 20150g2 [1,-1,0,-37867,-1539459] 2 [-167:409:1]
20150h (2 curves)	0	2+ 5- 13- 31-	2+  1 5-  2  3 13-  3  5
Curve Equation t 20150h1 [1,0,1,-18701,1009648] 3 20150h2 [1,0,1,86924,3722098] 1
20150i (2 curves)	2	2+ 5- 13- 31-	2+ -2 5-  2 -3 13- -6 -4
Curve Equation t Generators 20150i1 [1,0,1,1924,146298] 3 [-23:311:1]&[-7:367:1] 20150i2 [1,0,1,-17451,-4116202] 1 [206:917:1]&[271:3192:1]
20150j (2 curves)	1	2- 5+ 13+ 31-	2-  0 5+  0 -2 13+ -4  4
Curve Equation t Generators 20150j1 [1,-1,1,-2605,-282603] 2 [99:600:1] 20150j2 [1,-1,1,-82605,-9082603] 2 [-165:268:1]
20150k (2 curves)	1	2- 5+ 13+ 31-	2- -1 5+ -2  3 13+ -3  5
Curve Equation t Generators 20150k1 [1,1,1,-467513,126206031] 1 [429:1982:1] 20150k2 [1,1,1,2173112,465262281] 1 [1781:-100835:1]
20150l (2 curves)	1	2- 5+ 13+ 31-	2-  2 5+ -2 -3 13+  6 -4
Curve Equation t Generators 20150l1 [1,1,1,77,1201] 1 [31:170:1] 20150l2 [1,1,1,-698,-33209] 1 [41:75:1]
20150m (1 curve)	1	2- 5+ 13- 31+	2-  1 5+ -1  2 13- -7 -4
Curve Equation t Generators 20150m1 [1,0,0,1287,-24583] 1 [58:467:1]
20150n (1 curve)	1	2- 5+ 13- 31+	2- -1 5+  2 -5 13-  1  1
Curve Equation t Generators 20150n1 [1,1,1,-24048,1425361] 1 [91:-77:1]
20150o (1 curve)	1	2- 5+ 13- 31+	2- -1 5+  3  0 13-  5 -2
Curve Equation t Generators 20150o1 [1,1,1,-63,3781] 1 [-1:62:1]
20150p (1 curve)	1	2- 5+ 13- 31+	2-  2 5+  2 -5 13- -2 -8
Curve Equation t Generators 20150p1 [1,1,1,-13,6031] 1 [422:2941:8]
20150q (2 curves)	1	2- 5- 13- 31-	2-  0 5- -4  2 13-  8 -2
Curve Equation t Generators 20150q1 [1,-1,1,-1315,-18013] 2 [69:430:1] 20150q2 [1,-1,1,-1515,-12013] 2 [-27:106:1]

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