Cremona's table of elliptic curves

89570 = 2 · 5 · 13² · 53

Class	r	Atkin-Lehner	Eigenvalues
89570a (1 curve)	1	2+ 5+ 13+ 53+	2+  0 5+  0  6 13+ -1 -1
Curve Equation t Generators 89570a1 [1,-1,0,1535,30525] 1 [50:455:1]
89570b (1 curve)	1	2+ 5+ 13+ 53+	2+  3 5+  4 -2 13+ -6  0
Curve Equation t Generators 89570b1 [1,-1,0,-1324653550,-18556458707500] 1 [15617391225196255813496341217928967435086612:2754693526457496380069522923283019802844700502:264494609254409753352109601496278360799]
89570c (4 curves)	0	2+ 5+ 13+ 53-	2+  0 5+  4  0 13+  2 -4
Curve Equation t 89570c1 [1,-1,0,-1517060,719582800] 2 89570c2 [1,-1,0,-1530580,706114176] 4 89570c3 [1,-1,0,581920,2503006676] 2 89570c4 [1,-1,0,-3859400,-1952932500] 2
89570d (2 curves)	2	2+ 5+ 13+ 53-	2+  1 5+ -4  0 13+  3 -1
Curve Equation t Generators 89570d1 [1,0,1,-5074,186916] 3 [53:233:1]&[-52:583:1] 89570d2 [1,0,1,39711,-2249388] 1 [66:779:1]&[1899:82250:1]
89570e (1 curve)	2	2+ 5+ 13+ 53-	2+ -1 5+  0 -4 13+  3 -1
Curve Equation t Generators 89570e1 [1,1,0,-3,-47] 1 [4:3:1]&[6:11:1]
89570f (2 curves)	0	2+ 5- 13+ 53+	2+  0 5-  2  2 13+  6  0
Curve Equation t 89570f1 [1,-1,0,-4679,54653] 2 89570f2 [1,-1,0,-38479,-2858907] 2
89570g (1 curve)	0	2+ 5- 13+ 53+	2+  1 5-  0  2 13+ -2  1
Curve Equation t 89570g1 [1,0,1,-21224883,37638313806] 1
89570h (1 curve)	0	2+ 5- 13+ 53+	2+  1 5-  0  5 13+ -2 -2
Curve Equation t 89570h1 [1,0,1,-303,-2052] 1
89570i (1 curve)	0	2+ 5- 13+ 53+	2+ -1 5-  4 -6 13+ -6  5
Curve Equation t 89570i1 [1,1,0,6588,193744] 1
89570j (2 curves)	0	2+ 5- 13+ 53+	2+  2 5-  0  4 13+ -2  4
Curve Equation t 89570j1 [1,1,0,-1862,-14464] 2 89570j2 [1,1,0,6588,-100654] 2
89570k (2 curves)	1	2+ 5- 13+ 53-	2+  0 5-  2 -6 13+ -2 -4
Curve Equation t Generators 89570k1 [1,-1,0,-354509,-79282735] 2 [-2962:9931:8] 89570k2 [1,-1,0,-5635759,-5148226485] 2 [-10962:5931:8]
89570l (1 curve)	1	2+ 5- 13+ 53-	2+ -1 5-  2  4 13+ -1  1
Curve Equation t Generators 89570l1 [1,1,0,1518,21364] 1 [-12:46:1]
89570m (1 curve)	1	2+ 5- 13- 53+	2+  2 5-  0 -3 13-  6  0
Curve Equation t Generators 89570m1 [1,1,0,11918,374964] 1 [-12:486:1]
89570n (1 curve)	0	2- 5+ 13+ 53+	2-  1 5+  0 -5 13+ -2  2
Curve Equation t 89570n1 [1,0,0,-51126,-4456570] 1
89570o (2 curves)	0	2- 5+ 13+ 53+	2-  1 5+ -2  0 13+ -6  7
Curve Equation t 89570o1 [1,0,0,8869,-1093639] 1 89570o2 [1,0,0,-595306,-176996444] 1
89570p (2 curves)	0	2- 5+ 13+ 53+	2- -2 5+ -2  3 13+  0  4
Curve Equation t 89570p1 [1,0,0,27876969,2403495145] 1 89570p2 [1,0,0,-371263006,-2972732041020] 1
89570q (4 curves)	0	2- 5+ 13+ 53+	2- -2 5+  4  0 13+  6  4
Curve Equation t 89570q1 [1,0,0,-353636,72433360] 2 89570q2 [1,0,0,491364,365986360] 2 89570q3 [1,0,0,-6670011,-6620232815] 2 89570q4 [1,0,0,-4506811,-10986868335] 2
89570r (2 curves)	1	2- 5+ 13+ 53-	2-  0 5+  2  0 13+ -6  2
Curve Equation t Generators 89570r1 [1,-1,1,-708,-2089] 2 [-74:513:8] 89570r2 [1,-1,1,2672,-18313] 2 [413:8243:1]
89570s (1 curve)	1	2- 5+ 13+ 53-	2-  1 5+  2 -4 13+ -2 -3
Curve Equation t Generators 89570s1 [1,0,0,-22396,-1695110] 1 [5211264979043788716:129651141024658261249:7658886486056896]
89570t (2 curves)	1	2- 5+ 13+ 53-	2-  2 5+  0  2 13+  2 -2
Curve Equation t Generators 89570t1 [1,1,1,-642626,-198550721] 2 [4359272892750153:-60761798629420393:4315620316041] 89570t2 [1,1,1,-639246,-200738257] 2 [25482323547:924763566763:14348907]
89570u (1 curve)	1	2- 5+ 13+ 53-	2- -2 5+  2  5 13+  4  0
Curve Equation t Generators 89570u1 [1,0,0,-22396,1288416] 1 [40:656:1]
89570v (1 curve)	1	2- 5+ 13+ 53-	2-  3 5+  2  0 13+ -6  5
Curve Equation t Generators 89570v1 [1,-1,1,-615944868,-10101721423673] 1 [8297196475368153:6430367231097162257:13772224773]
89570w (1 curve)	1	2- 5+ 13+ 53-	2- -3 5+  2  0 13+  3 -1
Curve Equation t Generators 89570w1 [1,-1,1,207162,67805781] 1 [-225:3237:1]
89570x (1 curve)	1	2- 5+ 13- 53+	2-  2 5+  0  3 13-  6  0
Curve Equation t Generators 89570x1 [1,1,1,2014054,813725479] 1 [449571:58004489:27]
89570y (1 curve)	1	2- 5- 13+ 53+	2-  0 5-  0 -6 13+ -1  1
Curve Equation t Generators 89570y1 [1,-1,1,259383,67841609] 1 [127:10076:1]
89570z (2 curves)	1	2- 5- 13+ 53+	2-  2 5- -2  2 13+  6  8
Curve Equation t Generators 89570z1 [1,1,1,-46225,1401967] 2 [-113:2336:1] 89570z2 [1,1,1,170095,11006575] 2 [83:5028:1]
89570ba (1 curve)	1	2- 5- 13+ 53+	2-  3 5- -4  2 13+ -6  0
Curve Equation t Generators 89570ba1 [1,-1,1,-7838187,-8444462789] 1 [101757:3314378:27]
89570bb (2 curves)	0	2- 5- 13+ 53-	2-  1 5- -2  0 13+  3 -5
Curve Equation t 89570bb1 [1,0,0,-2285,-410203] 1 89570bb2 [1,0,0,-494920,-134057600] 1
89570bc (2 curves)	0	2- 5- 13+ 53-	2-  1 5-  4  0 13+  3  1
Curve Equation t 89570bc1 [1,0,0,-857425,411512425] 1 89570bc2 [1,0,0,6711240,-4948616128] 1
89570bd (1 curve)	0	2- 5- 13+ 53-	2- -1 5-  0  4 13+  3  1
Curve Equation t 89570bd1 [1,1,1,-595,-100443] 1
89570be (1 curve)	0	2- 5- 13+ 53-	2- -2 5-  2  5 13+ -4  8
Curve Equation t 89570be1 [1,0,0,-6510,-1306748] 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