Cremona's table of elliptic curves

20090 = 2 · 5 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
20090a (2 curves)	2	2+ 5+ 7- 41+	2+  0 5+ 7- -6  2 -8  6
Curve Equation t Generators 20090a1 [1,-1,0,-695,-5475] 2 [-19:34:1]&[-15:45:1] 20090a2 [1,-1,0,-10495,-411195] 2 [-59:34:1]&[283:4243:1]
20090b (4 curves)	1	2+ 5+ 7- 41-	2+  2 5+ 7-  0  4  0 -8
Curve Equation t Generators 20090b1 [1,1,0,-8208,-284752] 2 [-6845:11581:125] 20090b2 [1,1,0,-130708,-18243252] 2 [-19052505:9359956:91125] 20090b3 [1,1,0,-75583,7845573] 2 [-267:3147:1] 20090b4 [1,1,0,-153983,-11331067] 2 [4171:266116:1]
20090c (4 curves)	1	2+ 5- 7- 41+	2+  2 5- 7-  0 -2  0  4
Curve Equation t Generators 20090c1 [1,1,0,-3446832,-2464515136] 2 [887941069195240:537153672172868104:2422300607] 20090c2 [1,1,0,-3437032,-2479213176] 2 [21189155947529137013176620045705:12818230458281995516069246976966219:57803955510825054082176507] 20090c3 [1,1,0,-3878767,-1808429979] 2 [-1000287:22764151:729] 20090c4 [1,1,0,11801233,-12724845979] 2 [7934652369:554335109063:3581577]
20090d (2 curves)	1	2+ 5- 7- 41+	2+  2 5- 7- -4  2  4  8
Curve Equation t Generators 20090d1 [1,1,0,-1887,-31471] 2 [50:23:1] 20090d2 [1,1,0,563,-104481] 2 [9330:6683:216]
20090e (2 curves)	0	2+ 5- 7- 41-	2+  0 5- 7-  6  0  0  2
Curve Equation t 20090e1 [1,-1,0,-1724,23680] 2 20090e2 [1,-1,0,3176,130500] 2
20090f (4 curves)	0	2+ 5- 7- 41-	2+  2 5- 7-  6  4  6 -2
Curve Equation t 20090f1 [1,1,0,-4924917,-4208800231] 2 20090f2 [1,1,0,-4937167,-4186826181] 2 20090f3 [1,1,0,-5489152,-3185381184] 2 20090f4 [1,1,0,-36114152,81161993816] 2
20090g (4 curves)	1	2- 5+ 7- 41+	2-  0 5+ 7-  0  2 -2  0
Curve Equation t Generators 20090g1 [1,-1,1,-67948,6481647] 2 [93:933:1] 20090g2 [1,-1,1,-1071468,427157231] 4 [205:14597:1] 20090g3 [1,-1,1,-17143468,27325256431] 2 [2501:8157:1] 20090g4 [1,-1,1,-1055788,440253167] 2 [213:14893:1]
20090h (1 curve)	1	2- 5+ 7- 41+	2-  2 5+ 7-  0 -3 -4  6
Curve Equation t Generators 20090h1 [1,1,1,34,13] 1 [238:1227:8]
20090i (1 curve)	0	2- 5- 7+ 41-	2- -2 5- 7+  0  3  4 -6
Curve Equation t 20090i1 [1,0,0,1665,475] 1
20090j (2 curves)	0	2- 5- 7- 41+	2-  2 5- 7-  2  6  6  2
Curve Equation t 20090j1 [1,1,1,-785,-785] 2 20090j2 [1,1,1,3135,-2353] 2

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